AsianLan 104 midterm

Which statement below correctly depicts the expected value of a fair game?

a. E(X) = 0

If f(x) = x and g(x) = 2, what is (fog)(x)

b. 2

What is the value of S4 for

c. 208/375

Which formula can be used to find the nth term in a geometric sequence where a1=3 and r = 2?

d. a(n)=3*2^(n-1)

Use the dot product to find when v = -6i.

d. 6

Find an ordered pair that represents the vector from A(31,-33) to B(36,-45) . Then find the magnitude of AB.

a. (5,-12), 13

What is the next term in the sequence 58, 47, 36, 25, ...?

c. 14

Express the complex number 5/2 (cos150° + i sin150°) in standard a + bi form.

d. -5sqrt3/4+5/4i

Convert r = -72/12+6sin theta to Cartesian form.

b. 4x2 + 3y2 - 24y - 144 = 0

Angelique draws triangle ghk. if angle g=30o, g=3, ang k=4, what is the approximate length of h

A. 1.2 or 5.7

Which of the following represents the sum of the series below?4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 + 31 + 34 + 37 + 40

b. 13 * (4+40)/2

At a local high school, enrollment in the drama club increases by 5% each year. What is the common ratio in this situation?

c. 1.05

What are the outputs of the function below?

C. 6, 2, -3, 4

Find cos x if sin x cot x = 0.5

a. 0.5

The amount of money in Nadia's savings account is represented by the recursive formula an=1.025(an-1)+50 if a6=291.51 what are the first two numbers in the sequence?

A. $25.36, $75.99

An arithmetic series is represented by the equation. Which of the following is true?

C. The value of the series is equal to the value of the 1st or 24th numbers in the series.

A science teacher wrote the table of values below. Which function models the data in the table?

C. f(x)= log 1/x , x =/ 0.

Identify the graph of 9x2-25y2=225 for T(0,5) and write an equation of the translated or rotated graph in general form.

C. hyperbola; 9x^2-25y^2+250y-850=0

here are two possible triangles with the measures given for triangle ABC.b = 20.2, c = 18.3, m<c = 38°What are the possible measures of angle B? Round your answer to the nearest whole number.

D. 43° and 137°.

Which lines are the directrices of the ellipse? https://media.edgenuity.com/evresources/8101/8101-13/8101-13-09/8101-13-09-assessment/8101-13-09-06-image1.PNG

b. x=-3.25 and x=9.25

Determine the graph of the polar equation r = 10/10-7cos theta

c. https://media.edgenuity.com/evresources/649-12-05-00-00_files/i0100002.jpg

Emilio assigns values to some of the measures of triangle MNP. if <M=42°, m=12 in., and n=20 in., which is true?

A. the triangle does not exist because sinN/n cannot equal sinM/m

The equation (y-2)2/64+x2/9=1 represents an ellipse. Which lines represent the approximate directrices of the ellipse? Round to the nearest tenth. https://media.edgenuity.com/evresources/8101/8101-13/8101-13-09/8101-13-09-assessment/8101-13-09-07-image1.PNG

D. y = −6.6 and y = 10.6

Which geometric series converges?

a. 1/2+1/4+1/8+1/16

Forty-four percent of the members of the Science Club wear blue shirts. Which of the following is a binomial experiment?

a. Selecting eight members randomly and recording whether each member is wearing a blue shirt

a and b have the same direction, and they both have a magnitude of 6. What must be true about a and b?

a. They are equal and parallel

What is the range of y=sec-1(x)

a. [0,π/2) U (π/2,π]

The table below shows the ages of houses to the nearest year in a neighborhood. Using the age of the houses as the random variable, X, which graph shows the probability distribution, PX(x), of a randomly chosen house?

a. https://media.edgenuity.com/evresources/3111-12-04/mc011-1.jpg

A family has two children. If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair. Let X represent the number of times G occurs. Which of the following is the probability distribution, PX(x)?

a. https://media.edgenuity.com/evresources/3111-12-04/mc013-1.jpg

A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is S = {RR, RB, BR, BB}. Let X represent the number of times blue occurs. Which of the following is the probability distribution, PX(x)?

a. https://media.edgenuity.com/evresources/3111-12-04/mc014-1.jpg

Which of the following represents the value of the series below? https://media.edgenuity.com/evresources/3111-14-07/mc014-1.jpg

a. https://media.edgenuity.com/evresources/3111-14-07/mc014-2.jpg

What are the values of r and a1 for

a. https://media.edgenuity.com/evresources/3111-14-08/mc004-2.jpg

Determine whether the vectors u and v are parallel, orthogonal, or neither. u = (5,4) v = (-10,9)

a. neither

When an alternating current of frequency f and peak current passes through a resistance R, then the power delivered to the resistance at time t seconds is P=I02 R sin2 2 pi f t. Write an expression for the power in terms of csc22 pi f t

a. p=I02R/(csc22 pi f t)

What basic trigonometric identity would you use to verify that sin x cos x tan x=1-cos2x

a. tanx=sinx/cosx

A counterexample for the expression sin y tan y=cos y is 0 degrees .

a. true

Write an equation in slope-intercept form of the line with the parametric equations x=2t and y=1-t in slope-intercept form

a. y = (-1/2)x + 1

Which results only in a horizontal compression of y=1/x by a factor of 6?

a. y=1/6x

The resting heart rates for 80 women aged 46-55 in a simple random sample are normally distributed, with a mean of 71 beats per minute and a standard deviation of 6 beats per minute. Assuming a 90% confidence level (90% confidence level = z-score of 1.645), what is the margin of error for the population mean?

b. 1.10

After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. About how long is the pole?

b. 12.2 ft

If f(x)=x+4/x, g(x)=x-2, and h(x)=4x-1, what is (f×h×g)(x)?

b. 2x+4/x

For a standard normal distribution, find the approximate value of P(-0.78<z<1.16). Use the portion of the standard normal table below to help answer the question.

b. 66

When making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal?

b. The 90% confidence interval is narrower than the 95% confidence interval.

A simple random sample of 60 is drawn from a normally distributed population, and the mean is found to be 28, with a standard deviation of 5. Which of the following values is within the 95% confidence interval (z-score = 1.96) for the population mean?

b. The value of 27, because it's greater than 26.7 and less than 29.3.

when graphing the function f(x)=-|x+5|+12 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function

b. Xmin: -20, Xmax: 20Ymin: -20, Ymax: 20

What basic trigonometric identity would you use to verify that csc x sec x cot x = csc2x

b. cotx=cosx/sinx

Identify the graph of 4y2+12x2=24 for T(-1,4) and write and equation of the translated or rotated graph in general form.

b. ellipse; 3x^2 + y^2 + 6x - 8y + 13 = 0

Which of the following represents a valid probability distribution?

b. https://media.edgenuity.com/evresources/3111-12-04/mc003-2.jpg

Use a half-angle identity to find the exact value of sin pi/8

b. square root 2- square root 2/2

Which is the focus of a parabola with equation y2=4x?

c. (1,0)

Find an ordered pair to represent t in the equation t=1/2u-v if u=(-1,4) and v=(3,2).

c. (31.2,4)

What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. https://media.edgenuity.com/evresources/3111-12-09/mc016-1.jpg

c. 0.18

Dion flips a coin 20 times and records if it comes up heads. If getting heads is a success, what is the probability of a success on each roll?

c. 0.5

What is the common difference in the following arithmetic sequence? 2.8, 4.4, 6, 7.6

c. 1.6

The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question.

c. 59%

Consider the pattern below. 5+5/3+5/9+5/27+5/81+... What does this pattern represent?

c. a geometric series

What are the domain and range of the function f(x)= sqrt x-7+9

c. domain x ≥ 7 range y≥ 9

What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0 with the horizontal?

d. 14.2 lb

The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months. What is the z-score of an appliance that stopped working at 64 months?

d. 2

A ship travels 200 miles due west, then adjusts its course 30° north of west. The ship continues on this course for 30 miles. Approximately how far is the ship from where it began?

d. 226.5

A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability distribution below? https://media.edgenuity.com/evresources/3111-12-04/mc020-1.jpg

d. 3

A sequenced is defined by an=-3/4an-1, and a3=9/16. What is the seventh term?

d. 729/4096

Which is true of the triangle below? https://media.edgenuity.com/evresources/3111-14-51/mc015-1.jpg

d. The given measures create two triangles because bsinA < a < b.

Which equation is correct?

d. arccsc(x)= arcsin(1/x)

Find the exact value of sin pi/12

d. square root 6- square root 2/4

A rectangle with constant area has possible lengths and widths as shown in the table below. Which equation can be used to find any corresponding length and width that fit the pattern in this table?

A. I= k/w Where I is the length, w is the width, and k is a constant

Which is a true statement comparing the graphs of x2/62-y2/82=1 and x2/82-y2/62=1?

A. The foci of both graph are same points.

In triangle ABC below, sinC=h/a and sinA=h/c. Which of the following combines the two sine ratios into one equation?

A. asinC=csinA

Which of the following represents the sum of the series?6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26

A: S11=(11Ek=11)6+(k-1)2

The sum of an 84-number series is -7,980. What is the sum of the first and last numbers?

B. -190

Tasha invests $5,000 at 6% annual interest and an additional $5,000 at 8% annual interest. Thomas invests $10,000 at 7% annual interest. Which statement accurately compares Tasha's and Thomas's investments if interest is compounded annually?

B. Tasha's investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

Identify the graph of the equation. What is the angle of rotation for the equation? xy=-2.5

B. hyperbola, 45 degrees.

A marine biologist is setting up a net 6 feet below the surface of the water. Each foot of the water screens out 40% of the light coming from the surface. Which of the following is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent?

C. 4.7%

Glenda checks the computer monitors made at her company for defects. It has been shown that 0.5% of the monitors are defective. She decides to check several monitors and record if they are defective. Which of the following will make this process into a binomial experiment?

C. Glenda checks the monitors until she has 300 non-defective monitors

What are the first two terms of the sequence defined recursively by the formula ^an=(^an-1)^2, when ^a4=1604?

C. √2 , 6

Find an ordered triple to represent u in u=0.75v+0.25w if v=(4,-3,5) w=(2,6,-1) and z=(3,0,4)

C.(3.5,-0.75,3.5)

Derrick's parents are finalizing a budget for his college expenses. His first year of college will cost $8,000, and his expenses will increase by 12% each year. Which statement is correct regarding the amount they should budget for Derrick's four-year college education, to the nearest dollar?

a. $38,235 is needed.

Find the rectangular coordinates of the point (-4,pi/3)

a. (-2,-2 sqrt 3)

three trigonometric functions for a given angle are shown below csc theta = 13/12, sec theta = -13/5, cot theta = -5/12 what are the coordinates of point (x,y) on The terminal ray of angle theta, assuming that the values above were not simplified.

a. (-5,12)

Write the ordered pair that represents MP. Then find the magnitude of MP. M(-19,4), P(4,0)

a. (23,-4); square root 545 units

Write the ordered pair that represents YZ. Then find the magnitude of YZ. Y(14,-23), Z(23,-14)

a. (9,9); 9 square root 2 units

The equation x2/121+y2/1 represents an ellipse. Which points are the vertices of the ellipse?

a. (−11, 0) and (11, 0)

The equation x^2/24^2 - y^2/ b^2= 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.

a. 10

A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the side length of the rhombus? https://media.edgenuity.com/evresources/3111-14-52/mc025-1.jpg

a. 10/Cos(30°)

What is the length of side q, given r = 20, s = 30, and Q = 15°? Round the answer to the nearest tenth.

a. 11.9

A grocery store displays cans of soup in rows, with one can on the top row, as shown below. A larger display uses the same pattern as the one above. Which expression can be used to find the total number of cans in rows 22 through 25 in the larger display?

a. 22+23+24+25

A new car sells for $25,000. The value of the car decreases by 15% each year. What is the approximate value of the car 5 years after it is purchased?

a. 25,000(1-0.15)5, or approximately $11,093

Find the cube roots of 27(cos 327° + i sin 327° ). Write the answer in trigonometric form.

a. 3(cos 109° + i sin 109°) 3(cos 229° + i sin 229°) 3(cos 349° + i sin 349°)

Find the angle between u = (8,-2) and v = (9,3). Round to the nearest tenth of a degree.

a. 32.5

assume that 0<x<pi/2 and 0<y<pi/2. find the exact value of sin(x+y) if cosx=8/17 and siny= 12/37​

a. 621/629

Find v x w if v=-9i+2j-3k and w=8i-3j+8k

a. 7i+48j+11k

For a standard normal distribution, which of the following variables always equals 0?

a. Mu

Which formula can be used to find the nth term of the geometric sequence below? 1/6,1,6,36

an=1/6*6^n-1

A game of "Doubles-Doubles" is played with two dice. If a player rolls doubles, the player earns 3 points and gets another roll. If the player rolls doubles again, the player earns 9 more points. How many points should the player lose for not rolling doubles in order to make this a fair game?

b. 27/35

The magnitude of m is 29.2 meters, and the magnitude n of is 35.2 meters. If m and n are perpendicular, what is the magnitude of their sum?

b. 45.73 m

Which of the following is the result of expanding 4 ∑ n=1 (2n-3)

b. 8

Identify the graph of for 4x2+5y2=20 for T(5,-6) and write an equation of the translated or rotated graph in general form.

b. Ellipse:4x2+5y2-40x+60y+260=0

Which formula can be used to describe the sequence below?27,9,3,1,1/3

b. an=(1/3)a(n-1); a1=27

What basic trigonometric identity would you use to verify that cot x sin x = cos x?

b. cotx=cosx/sinx

Which of the following z-values, standard deviations, and sample sizes produce a margin of error of 0.95? https://media.edgenuity.com/evresources/3111-12-10/mc015-1.jpg

b. z = 2.14; s = 4; n = 81

A store uses the expression -2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price number of backpacks.)

c. $12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

Two boats are equidistant from a lighthouse. The boats are 30 miles apart. The angle formed between the two boats, with the lighthouse as the vertex, measures 40°. Approximately how far is each boat from the lighthouse?

c. 44 mi

Joe takes part in math competitions. A particular contest consists of 25 multiple-choice questions, and each question has 5 possible answers. It awards 6 points for each correct answer, 1.5 points for each answer left blank, and 0 points for incorrect answers. Joe is sure of 12 of his answers. He ruled out 2 choices before guessing on 4 of the other questions and randomly guessed on the 9 remaining problems. What is his expected score?

c. 90.8

Two students devised a game called "3 Pennies & 2 Nickels." Each player will choose to play the pennies or the nickels. In each round, the players will flip all their coins on the table and record how many heads and tails they have. The table below includes the point scheme. Alyssa wants to play the game. Choose the statement below that is correct in all aspects.

c. E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies

Determine the eccentricity, the type of conic, and the directrix for r = 11/6-5cos theta.

c. Eccentricity = 5/6 Type of conic section; Ellipse Directrix; x = -11/5

Franco has a hat with 9 blue marbles, 4 yellow marbles, and 12 green marbles. He designs a binomial experiment by drawing a marble from the hat, recording whether the marble is green, and then laying the marble aside. He then repeats the process seven times. Which statement must be true?

c. The experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each drawing.

An ellipse is graphed. Which statements about the ellipse are true? Select three options. https://media.edgenuity.com/evresources/8101/8101-13/8101-13-09/8101-13-09-assessment/8101-13-09-16-image1.PNG

c. The vertices are 4 units to the left and right of the center. d. The foci are units to the left and right of the center on the major axis. e. The directrices are vertical lines.

Let f(x) =x+1 and g(x)=1/x. The graph of (f o g)(x) is shown below. What is the range of (f o g)(x)?

c. all real numbers except y = 1

Determine which equation is belongs to the graph of the limacon curve below. https://media.edgenuity.com/evresources/649-11-08-00-00_files/i0070000.jpg

c. r = 3 + 2 cos theta

The transformation T = (0,-1,1,0) is applied the figure below. What type of transformation of triangle ABC was applied by T? https://media.edgenuity.com/evresources/6129-01-11/mc018-2.jpg

c. reflect across the line y = -x

Find a numerical value of one trigonometric function of x for cos2x+2sinx-2=0

c. sinx=1

Find the magnitude of WX for W(-2,8,-3) and X(1,4,-1)

c. sqrt 29

Use the dot product to find |v| when v=<-2,-1>

c. square root 5

Find the exact value of sec 795 degrees

c. square root 6+ square root 2

Find the exact value of cos(-pi/12)

c. square root 6+ square root 2/4

Find the exact value of sin 105°.

c. square root 6+square root 2/4

Find an equation equivalent to r = 1 + 2 sin theta in rectangular coordinates.

c. x2 + y2 = sqrt x2 + y2 + 2y

Which equation can be used to solve for x in the triangle below? https://media.edgenuity.com/evresources/3111-14-52/mc003-1.jpg

c. x2 = 42 + 4.7 2 - 2 * 4 * 4.7 * cos (41)

Determine the magnitude of the difference of the following vectors: u - vu = 7i - 12jv = -2i + j

d. 15.81

Two construction workers, Tyrone and Diego, are standing 15 yards apart, looking up at a piano hanging between the two men from a crane. Tyrone is staring at the piano with an angle of elevation of 65°, and Diego is looking up with an angle of elevation of 77°. What is the distance between Tyrone and the piano? Round the answer to the nearest tenth.

d. 23.7 yards

An archer fires two arrows into a raised target, as represented in the diagram below. About how much greater of an angle did the archer need to use in order for the second arrow to land 7 feet higher than the first arrow? https://media.edgenuity.com/evresources/3111-14-52/mc022-1.jpg

d. 8.7

For a standard normal distribution, find the approximate value of P(z>=-1.25). Use the portion of the standard normal table below to help answer the question.

d. 89%

A spinner is divided into five sections numbered 1 through 5. Juana records the number the spinner lands on for each of 50 spins. She computes and graphs the relative frequencies for each number. Which of the following describes the probability distribution? https://media.edgenuity.com/evresources/3111-12-04/mc002-1.jpg

d. Positively Skewed

What is the sum of https://media.edgenuity.com/evresources/3111-14-09/mc021-1.jpg

d. S = 8

Four students drew four different triangles in math class. Which triangle can be solved using only the law of cosines?

d. Saki's triangle

Determine the graph of the polar equation r = 6/2-2cos theta

d. https://media.edgenuity.com/evresources/649-12-05-00-00_files/i0140004.jpg

Which graph represents the hyperbola x2/32-y2/82=1

d. https://media.edgenuity.com/evresources/8101/8101-13/8101-13-10/8101-13-10-assessment/8101-13-10-14d.png

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years?

d. n=1.25(2.5)^t

Determine which equation is belongs to the graph of the limacon curve below. https://media.edgenuity.com/evresources/649-11-08-00-00_files/i0050000.jpg

d. r=2-2sin theta

A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39). Which are the equations of the directrices?

d. y = ±432/13

Find an equation equivalent to r =5/1+cos theta in rectangular coordinates.

d. y2 = 25 - 10x

The function h(t)=-4.87t2+18.75t is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the time in seconds. What are the domain and range of the function h(t)? Round values to the nearest hundredth.

domain: [0, 3.85]range: [0, 18.05]

What are the domain and range of the piecewise function below?

domain: all real numbers except x = 6 range: all real numbers

Use a half-angle identity to find the exact value of tan 25.5 degrees

square root 2-1

Express the complex number 8(cos30 + i sin30) in standard a + bi form.

4sqrt3+4i

Find the magnitude of wx for w(6 -3 6) and x(6 3 4)

A. 2sqrt10

A parabola opens to the left. Which could be the equation of the parabola?

D. (y - 4)2 = -4(x + 3)

You are challenged to a lucky draw game. If you draw a face card (K, Q, J) from a standard deck of cards, you earn 10 points. If you draw any other card, you lose 2 points. What is the expected value of a draw?

a. 0.77

The center of a hyperbola is located at the origin. One focus is located at (0, 20), and its associated directrix is represented by the line y=-256/20. What is the equation of the hyperbola?

d. y2/162-x2/122=1

Find an equation equivalent to x2 - y2 = 4 in polar coordinates.

r2 cos2(theta) = 4

Identify the graph of 3x2+y2=9 for T(-1,3) and write an equation of the translated or rotated graph in general form.

D. Ellipse; 3x2+y2+6x-6y+3=0

What is the maximum r-value for the polar equation r = -3 + 5 sin theta? Note that a maximum r-value is a maximum value of r , the maximum distance form the pole.

a. 8

What are the domain and range of the function f(x)=-log(5-x)+9?

a. domain is x<5 range infty <(x)<infty

A teacher gave his students the four graphs below. Which graph represents a geometric sequence?

a. graph a

If and f(x)=1/x, and g(x)=x-2 which of the following is the graph of (fog)(x)?

a. https://media.edgenuity.com/evresources/3111-11-09/mc007-4.jpg

What is the summation notation for the geometric series 5 + 10 + 20 + 40 + 80?

a. https://media.edgenuity.com/evresources/3111-14-08/mc008-1.jpg

Plot the point (2,-pi/4)

a. https://media.edgenuity.com/evresources/649-11-07-00-00_files/i0050001.jpg

The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. The stopping distances and speeds are shown in the table below. Which equation best represents the data in the table?

A. s = 4 sqrt d

Identify the equation of the translated graph in general form x2+y2=7 for T(-8,4)

A. x2+y2+16x-8y+73=0

The graph of r = 1 + 5 sin theta is symmetric about the __________.

A. y-axis only

What are the domain and range of the function f(x)=2^x+1

B Domain: (-∞, ∞) Range: (0,∞)

Johnny is challenged to a single-player game with an expected value of 1. Which statement below is true?

B. It is a favorable game.

Rina spins the spinner below 30 times. A success occurs when the spinner lands on a number that is greater than 6. What is the probability of a success and a failure for this experiment?

B. P(success)=1/4,P(failure)=3/4

Which is a solution of tan x + square root 3/3? Give your answer in radians.

B. pi/6

To which family does the function y=(x+2)^1/2+3 belong?

B. square root

Identify the equation of the translated graph in general form x2-y2=8 for T(4,3)

B. x2-y2-8x+6y-1=0

Kareem wants to write an equation for the data in the table below. What is the general form of the equation Kareem can use to represent the data?

B. y=ab^x

Find the ordered pair to represent a T in the equation t in the equation t=1/2u-v if u=(-1,4) and v=(3,-2)

C. (-3 1/2, 4)

Find an ordered triple to represent a in the equation a= 3f+g if f = (1, -3, -8) and g = (3,9, -1)

C. (6,0,-25)

When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of 86%?

C. 0.93

Which equation gives the sum of https://media.edgenuity.com/evresources/3111-14-09/mc019-1.jpg

C. S=6/1-1/3

The graph of an ellipse is shown. Which equation represents this ellipse? https://media.edgenuity.com/evresources/8101/8101-13/8101-13-09/8101-13-09-assessment/8101-13-09-21-image1.PNG

D. (y-4)^2/12^2 + (x-2)^2/6^2=1

What is the value of https://media.edgenuity.com/evresources/3111-14-08/mc015-1.jpg

D. 1,456

What is the approximate value of ___ ? Round your answer to the nearest hundredth. https://media.edgenuity.com/evresources/3111-14-08/mc016-1.jpg

D. 4.98

The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?

D. 46.08 ft

Which equation gives the sum of ? https://media.edgenuity.com/evresources/3111-14-09/mc018-1.jpg

D. 8/1-0.2

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach infinity. To which family of functions might the described function belong?

D. Quadratic

Jordan uses a linear equation to model the data in a table. Which reasoning might Jordan have used in the decision to model the data with a linear equation?

D. The change in y-values is constant for evenly spaced x-values.

What is the sum of https://media.edgenuity.com/evresources/3111-14-09/mc020-1.jpg

D. s=5/2

A ball is dropped from a height of 5 ft and bounces to 60% of its previous height on each subsequent bounce. Which statement is true regarding the vertical distance the ball has traveled when it hits the ground for the fourth time?

b. One should use , which results in16.76 ft for the vertical distance traveled.

How is the graph of y=(x-1)^2-3 transformed to produce the graph of y=1/2(x+4)^2 ?

b. The graph is stretched vertically by a factor of 1/2 , translated left 5 units, and translated up 3 units

Which is a true statement comparing the graphs of x2/32-y2/42=1 and y2/32-x2/42=1?

b. The lengths of both transverse axes are the same.

The average customer for a certain utility company pays $120 per month for utilities. The company plans to decrease utility bills by 3% each year for the next five years. Which of the following can be used to determine the total amount an average customer will pay for utilities during the next five years?

b. a geometric series

Which of the following is the correct expanded form for the series below?

a. (7+3•1)+(7 +3•2)+(7 +3•3)+(7+3•4)

Given sec theta=-4/3 and 90 degrees < theta< 180 degrees; find sin 2 theta

a. -3 square root 7/8

Which graph is an example of a cubic function?

b. https://media.edgenuity.com/evresources/3111-11-07/mc002-2.jpg

What are the approximate values of the missing side lengths in the triangle below? https://media.edgenuity.com/evresources/3111-14-51/mc006-1.jpg

a. BC=136m, AB=89m

The point P(x,y) is on the terminal ray of angle theta. if theta is between pi radians and 3 pi/2 radians and csc theta=-5/2, what are the coordinates of P(x,y)?

a. P = (- square root 21 , -2)

Given T(3,-5,6) and M(-1,1,2) find The ordered triple that represents TM. Then find the magnitude of TM.

a. https://media.edgenuity.com/evresources/649-11-04-00-00_files/i0160004.jpg

Express the complex number sqrt 6(cos315° + i sin315°) in standard a + bi form.

a. sqrt3-sqrt3i

Find the exact value of cos 105 degrees

a. square root 2- square root 6/4

What is the equation for the hyperbola shown? https://media.edgenuity.com/evresources/8101/8101-13/8101-13-10/8101-13-10-assessment/8101-13-10-20.PNG

a. x2/602 - y2/112 = 1

Tyrone opens a savings account by depositing $75 in August. He increases each month's deposit by $10 compared to the previous month's deposit. Which of the following shows the amounts in Tyrone's account from August through December?

b. $75, $160, $255, $360, $475

Which geometric series converges?

b. 4+0.08+0.0016+0.000032

Which of the following is an arithmetic sequence?

b. https://media.edgenuity.com/evresources/3111-14-02/mc010-2.jpg

If cos theta=0.3090, which of the following represents approximate values of sin theta and tan theta, for 0<theta<90

b. sin theta=0.9511 tan theta =3.0780

Which equation represents a true sine ratio in triangle ABC

b. sinA=h/c

Find cot x if sin x cot x csc x = square root 2

b. square root 2

A ship heads due north for x miles, then turns 25° east of north and travels for another y miles. Which expression represents the distance the ship is from the original starting point?

b. square root x2+y2-2(x)(y)cos(155).

The graph of r = -3 + 5cos theta is symmetric about the __________.

b. x-axis only

What basic trigonometric identity would you use to verify that sinx+1/sinx=1+cscx

c. cscx+1/sinx

Determine the eccentricity, the type of conic, and the directrix for r=6/1+2cos theta

c. eccentricity: e = 2 hyperbola directrix: x = 3

To which family does the function y=2^x+5 belong?

c. exponential

The table below shows points on the graph of r=4sin(theta). Which is the graph of r=4sin(theta)?

c. https://media.edgenuity.com/evresources///42486661_8102-04-00-21cev-01.jpg

Find the inner product for (-8,2) (4.5,18) and state whether the vectors are perpendicular.

d. 0;yes

The lengths of a particular snake are approximately normally distributed with a given mean Mu = 15 in. and standard deviation Sigma = 0.8 in. What percentage of the snakes are longer than 16.6 in.?

d. 5%

The graph below belongs to which function family?

d. absolute value

Which of the following is a valid probability distribution?

d. https://media.edgenuity.com/evresources/3111-12-04/mc005-4.jpg

Which equation should be used to graph y=sec-1(x) on a calculator?

d. y=cos-1(1/x)

Identify the graph of the equation. What is the angle of rotation for the equation? 2xy-9=0

b. hyperbola,45

Which is equivalent to sin-1(tan(pi/4))? Give your answer in radians.

b. pi/2

Which sum or difference identity would you use to verify that sin (90° + q) = cos q?

b. sin (a +b) = sin a cos b + cos a sin b

Which is equivalent to cos-1(0.17)? Round your answer to the nearest hundredth of a radian.

c. 1.40 radians

Use a half-angle idenitity to find the exact value of tan 5pi/12

c. 2+square root3

What is the approximate length of the missing side in the triangle below? https://media.edgenuity.com/evresources/3111-14-52/mc007-1.jpg

c. 21.3

Which is the directrix of a parabola with equation x2=4y?

c. y=-1

Find the magnitude of the vector from the origin to (8,-6) and write the vector as the sum of unit vectors.

d. 10, 8i-6j

If cos of theta = 3/5 and q terminates in the first quadrant, find the exact value of cos 2q.

d. 7/25

The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. What is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? Use the portion of the standard normal table below to help answer the question.

a. 16%

The diagram below shows rectangle ABCD. Which points are in the image of rectangle ABCD under the transformation: T= (3,0,0,3) https://media.edgenuity.com/evresources/6129-01-11/mc013-1.jpg

a. A(3,9); B(12,9); C(12,3); D(3,3)

If a4=24 , which recursive formula could represent the sequence below?

a. https://media.edgenuity.com/evresources/3111-14-10/mc025-2.jpg

Use a half-angle identity to find the exact solution of cos(3pi/8).

a. square root 2-square root2/2

Write parametric equations of the line -4x+y=-2

a. x = t, y = 4t - 2

What is the sum of the numbers in the series below?15 + 11 + 7 + . . . + (-129)

b. 2109

Which geometric series converges?

b. 5(3/4) https://media.edgenuity.com/evresources/3111-14-09/mc009-2.jpg

Find the quotient. 9(cos135+i sin135)/7(cos10+i sin10)

b. 9/7 (cos 125° + i sin 125°)

What are the domain and range of the function below? https://media.edgenuity.com/evresources/3111-11-08/mc005-1.jpg

b. domain: [0,infinity) range:(-infinity,4]

Which summation formula represents the series below?5 + 7 + 9 + 11

b. https://media.edgenuity.com/evresources/3111-14-04/mc007-2.jpg

Find the polar equation of the conic with the focus at the pole, directrix y = -6, and eccentricity 4.

b. r=24/1-4sin theta ; hyperbola

Find the cube roots of -8. Write the answer in a + bi form.

c. -2; 1 sqrt3+ i; 1 -sqrt3 i

Use a half-angle identity to find the exact value of tan 5pi/12

c. 2 + square root 3

find the inner product for (3,5) x (4,-2) and state whether the vectors are perpendicular.

c. 2; no

Given sin theta = 1/3 and 0 theta pi/2 find tan 2 theta

c. 4 square root 2/7

Find the magnitude and direction of 2r https://media.edgenuity.com/evresources/649-11-01-00-00_files/i0160000.jpg

c. 5.2 cm; 128

Which of the following describes the probability distribution below?

c. The median is greater than the mean, and the majority of the data points are to the right of the mean.

Which triangle can be solved using the law of sines? https://media.edgenuity.com/evresources/3111-14-51/mc001-4.jpg

d.

An airplane is flying due west at a velocity of 100 m/s. The wind is blowing out of the south at 5 m/s. What is the magnitude of the airplane's resultant velocity?

d. 100.12 m/s

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000. What is the z-score of a company employee who makes an annual salary of $54,000?

d. 5

Which formula can be used to describe the sequence below?-8, -5, -2, 1, 4, ...

d. an = an-1+3; a1 = -8

Given vectors u=-9i+8j and v=7i+5j, find 2u-6v in terms of unit vectors i and j.

a. -60i-14j

Which is equivalent to sin-1(0)? Give your answer in radians.

a. 0

When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of 58%?

a. 0.21

The graph below shows two normal distributions. What is the difference of the means of the distributions? https://media.edgenuity.com/evresources/3111-12-08/mc004-1.jpg

a. 15

A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5.9 at a 95% level of confidence. If the mean of the sample is 18.7, what is the 95% confidence interval for the population mean?

a. 18.7 ± 5.9

Which equation could be used to solve for the length of side c, given a = 5, b = 12, and C = 72°?

a. c=(5)^2+(12)^2-2(5)(12)cos(72)

Which summation formula represents the series below?1 + 2 + 6 + 24

a. https://media.edgenuity.com/evresources/3111-14-04/mc010-1.jpg

A child is building a triangular tower. The first (bottom) row of the 12-row tower is made with 12 blocks. Each successive row uses one less block. Which equation represents the total number of blocks used in the tower?

a. https://media.edgenuity.com/evresources/3111-14-07/mc007-1.jpg

The diagram below shows vector. If T=(0,1,1,0) is a transformation matrix, which expression correctly applies T to v?https://media.edgenuity.com/evresources/6129-01-11/mc004-1.jpg

a. https://media.edgenuity.com/evresources/6129-01-11/mc004-3.jpg

The diagram below shows vector v. Given transformation matrix T= (2,0,0,2) , which diagram shows the application of T to v? https://media.edgenuity.com/evresources/6129-01-11/mc009-1.jpg

a. https://media.edgenuity.com/evresources/6129-01-11/mc009-3.jpg

Use a half-angled identity to find the exact value of sin 75 degrees

a. square root 2+ square root 3/2

Which equation below is a true statement about triangle ABC

a. x = b-acosC

The center of an ellipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x = 14 1/12.

a. x2/132+y2/52=1

Which is the standard form of the equation of a parabola with a focus of (0, -3) and its vertex at the origin?

a. x2=-12y

Write parametric equations of the line with the equation 3x+2y=5

a. x= t, y = -3/2t+ 5/2

What are all the exact solutions of -3tan2x+1=0? Give your answer in radians.

a. ±pi/6 +kpi

Find all of the polar coordinates of point P if P = (7,pi/3)

b. (7,pi/3+2npi)or(-7,pi/3+(2n+1)pi)

Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = -2?

b. (y-1)^2=20(x-3)

Find the inner product for (-2,4,8)(16,4,2)and state whether the vectors are perpendicular.

b. 0;yes

Determine the projection of u=1.6i+3.3j in the v=-2.1i-0.5j direction

b. 2.3i+0.5j

\The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sigma = 0.2 in. What percentage of the parts will have lengths between 3.8 in. and 4.2 in.?

b. 68%

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. Cena paid $170 for her son to take courses. How many courses did he take?

b. 7 courses

If f(x)=3x and g(x)=1/x, what is the domain of (g o f)(x)?

b. all real numbers except x = 0

Consider an AC circuit consisting of a power supply and a resistor. If the current in the circuit at time t is I0sinwt, then the power delivered to the resistor is I02Rsin2wt , where R is the resistance. Express the power in terms of cos2wt.

b. p=1/2I02R-1/2I02Rcos2wt

Write the polar coordinates (3,pi ) in rectangular form.

c. (-3, 0)

Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. Where should she place the bulb to ensure a perfect beam of light?

c. (1,0)

Find an equation equivalent to 2x + 3y = 6 in polar coordinates.

c. (2 cos theta + 3 sin theta) = 6.

the diagram below shows vector v. given transformation matrix T=(1,0,0,-1) which diagram shows the application of T to v?

c. (guess)

Write a vector equation of the line that passes through P(-1,6) and is parallel to A=(3,-1)

c. (x+1,y-6)=(3,-1)

Which equation describes how the parent function, y=x3, is vertically stretched by a factor of 4?

c. ) y = 4 x^3

Dawn and Pablo are members of a normally distributed population that is being sampled. If the chance of Dawn being included in the sample is 0.05%, what must the chance of Pablo being included in the sample be in order to be able to make inferences about the population based on the sample?

c. 0.05%

Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that exactly 4 students have taken chemistry? Round the answer to the nearest thousandth. https://media.edgenuity.com/evresources/3111-12-07/mc021-1.jpg

c. 0.213

According to a poll, 56% of voters support funding a new community center. A surveyor randomly selects 75 voters and asks each voter if he or she is in favor of the center. If being in favor of the center is a success, what is the probability of a success for this binomial experiment?

c. 0.56

Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got at least 2 questions correct? Round the answer to the nearest thousandth.

c. 0.756

What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample?

c. 1.96

Sonia rolls a six-sided number cube 12 times and records if she rolls a 2. What is the number of trials for this binomial experiment?

c. 12

For a fund-raiser, Anthony earns $5 for the first mile he runs, an additional $7 for the second mile, an additional $9 for the third mile, and so on. The expression represents the total amount of money Anthony earns if he runs 10 miles. How much does Anthony earn if he runs 10 miles?

c. 140

Kyung is building a triangular pool in his backyard. He knows that side f is 12 m and that both angles G and F are 40°, which means that angle D is 100°. What is the length of side d? Round the answer to the nearest tenth. https://media.edgenuity.com/evresources/6129-01-12/mc018-1.jpg

c. 18.4

A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below. Fifty people work for the manager. How many people work 4 hours per shift?

c. 2

Find the inner product for (8,4) (2,4) and state whether the vectors are perpendicular.

c. 32;no

What is the approximate length of the third side of the triangle below? https://media.edgenuity.com/evresources/3111-14-52/mc006-1.jpg

c. 35.5

What is the mean of the normal distribution shown below? https://media.edgenuity.com/evresources/3111-12-08/mc002-1.jpg

c. 4

For a standard normal distribution, find the approximate value of P(z<=0.42). Use the portion of the standard normal table below to help answer the question.

c. 66%

What is sum of the geometric series? https://media.edgenuity.com/evresources/3111-14-08/mc009-1.jpg

c. 728

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?

c. 95%

Given the spinner below in which all regions are equal, which of the following point scales would result in a favorable game?

c. A number less than or equal to 3 will add one point. A 4 will lose two points.

Two percent of mobile phones produced at a factory are defective. Which of the following is a binomial experiment?

c. Selecting 200 phones randomly and recording whether each phone is defective

Vince wrote the sequence below. Which of the following explains whether the sequence is geometric?

c. The sequence is not geometric because 2/3 was added to each term to get the next term.

A clerk in the sports department of a store is stacking tennis balls in the shape of a square pyramid. The top layer has 1 ball, the second layer has 4 balls, the third layer has 9 balls, and so on, as shown below. Which of the following represents the number of balls in the first 8 layers of the pyramid?

c. a series that is neither arithmetic nor geometric

Which is the graph of the polar equation r=1/1-sin theta

c. https://media.edgenuity.com/evresources/649-12-05-00-00_files/i0020002.jpg

Two black chips and three red chips are put into a bag. Two points are awarded for each black chip drawn, and one point is lost for each red chip drawn. What is the expected value for each round if there are two draws per round and the chips are replaced after each draw?

d. 0.4

The graph below shows three different normal distributions. which statement must be true? https://media.edgenuity.com/evresources/3111-12-08/mc008-1.jpg

d. Each distribution has a different mean and a different standard deviation.

The graph of the function f(x) is shown. Which graph represents the function f(2x)

d. https://media.edgenuity.com/evresources/3111-11-07/mc037-7.jpg

Which of the following can be used to evaluate the series

a. https://media.edgenuity.com/evresources/3111-14-08/mc012-2.jpg

Which points are the vertices of the ellipse? https://media.edgenuity.com/evresources/8101/8101-13/8101-13-09/8101-13-09-assessment/8101-13-09-02-image1.PNG

a. points G and H

Which of the following is not a polar equation of a conic?

a. r = 1 + 2 cos theta

Determine which equation is belongs to the graph of the limacon curve below. https://media.edgenuity.com/evresources/649-11-08-00-00_files/i0040000.jpg

a. r = 1 + 3 sin theta

Ramiro drew the graph below. Which equation represents the data in the graph? https://media.edgenuity.com/evresources/3111-11-10/mc006-1.jpg

a. y=x2-8x+16

The graph of y=IxI is transformed as shown in the graph below. Which equation represents the transformed function?

a. y=|1/4x|

Given u=(1,-1,3) and v=(-4,5,3) find ordered triple that represents 3u-2v

b. ( 11, - 13, 3)

Write the ordered pair that represents YZ. Then find the magnitude of YZ. Y(4,2), Z(2,8)

b. (-2,6); 2 square root 10 units

Find an ordered triple to represent a in the equation a=2g-5f in f=(1,-3,-8) and g=(3,9,-1)

b. (1,33,38)

Which equation represents a hyperbola with a center at (0, 0), a vertex at (−48, 0), and a focus at (50, 0)?

b. x2/482-y2/142=1

Write parametric equations of the line 2x - y = 3.

b. x=t, y=2t-3

Which is the axis of symmetry of a parabola with equation y2=-8x?

b. y=0

For a standard normal distribution, which of the following variables always equals 1?

b. σ (standard deviation)

Abi takes a job with a starting salary of $100,000 for the first year. She earns a 3% increase each year. To the nearest dollar, how much does Abi make over the first six years?

c. $646,841

Deanna is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by x2=12y, where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

c. (0, 3)

The equation (y-8)^2/49 + (x -1)^2/36 = 1 represents an ellipse. Which points are the approximate locations of the foci of the ellipse? Round to the nearest tenth.

c. (1, 4.4) and (1, 11.6)

Given T(2,5,4) and M(3,1,0) find The ordered triple that represents TM. Then find the magnitude of TM?

c. (1,-4,-4); square root 33

Skylar is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (y+5)2=12(x+2), where x and y are measured in inches. What is the focus of the flashlight?

c. (1,-5)

Find the inner product for 5,2 multiply -3,7 and state whether the vectors are perpendicular.

c. -1;no

A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent.

d. $3.70

Write the ordered pair that represents MP. Then find the magnitude of MP. M(5,6) P(0,5)

d. (-5,-1); square root 26 units

the equation (y+5)^2/121+(x-9)^2/49=1 represents an ellipse. which point is the center of the ellipse?

d. (9,-5)

given tan theta=4/3 and pi<theta<3pi/2 find cos2 theta

d. -7/25

What are all the exact solutions of 2sin^2x-sinx=0 for 0<=x<=2pi?Give your answer in radians.

0,pi/6,pi,5pi/6, and 2pi

In the month of January, a certain restaurant claimed it sold 9,000 burgers and expects sales to grow at a rate of 4.8% per month over the next year. Which formula will determine the number of burgers the restaurant expects to sell this year?

a. 11∑N=1 9000 (1.048)^n

What is the value of the arithmetic series below? https://media.edgenuity.com/evresources/3111-14-07/mc012-1.jpg

a. - 494

Use the given information to determine the exact trigonometric value. sin theta = -1/5, pi<theta<3pi/2, cos theta

a. -2 square root 6/5

The complex number -5i has the complex trigonometric form of 5(cos 270o + isin 270o) Determine if the statement given is true or false.

a. true

When is a sequence geometric?

a. when each term is multiplied by the same number to get the next term

What are the first three terms of the sequence modeled by the recursive function an=1/2an-1 when a1=1

1, 1/2, 1/4

Which of the following is the correct expanded form for the series below? 4 ∑ n=0 -2n

A. (-1 - 2 - 4 - 8 - 16)

In triangle ABC, AB = 90 in., BC = 80 in., and angle B measures 50°. What is the approximate perimeter of the triangle?

A. 242.4 in

What are the possible remaining angle measures in triangle ABC with <A=40, AC=60, and BC=45

A. B=121, C=19 and B=59, C=81

Based on the family the graph below belongs to, which equation could represent the graph? https://media.edgenuity.com/evresources/3111-11-07/mc008-1.jpg

a. y=1/x+2+3

Micah takes a job with a starting salary of $78,000 for the first year. He earns a 4% increase each year. To the nearest dollar, how much does Micah make over the first seven years?

b. $616,067

Which transformation matrix would result in a 270° counterclockwise rotation about the origin?

b. (0,1,-1,0) https://media.edgenuity.com/evresources/6129-01-11/mc021-2.jpg

assume that 0<x<pi/2 and 0<y<pi/2. find the exact value of tan(x-y) if sinx=8/17 and cosy=3/5

b. -36/77

What is the common difference in the following arithmetic sequence? 7, 3, -1, -5, ....

b. -4

What are the first three terms of the sequence represented by the recursive formula

b. 0.25, 3.75, 5.25

Van guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got exactly 1 question correct? Round the answer to the nearest thousandth. https://media.edgenuity.com/evresources/3111-12-07/mc024-1.jpg

b. 0.267

Which of the following statements is equivalent to P(z>=1.7)?

b. 1-P(z greater than or equal to -1.7)

How many outcomes are possible for one event of a binomial experiment?

b. 2

Which of the following correctly displays 1/2 r-t? https://media.edgenuity.com/evresources/454709_vectorsrt.jpg

b. https://media.edgenuity.com/evresources/454709_a2.jpg

Which transformation matrix would result in a 300° counterclockwise rotation about the origin?

b. https://media.edgenuity.com/evresources/6129-01-11/mc022-2.jpg

Given R(3, 7,-1),S(10,-4,0) find an ordered triple that represents RS and find the magnitude of RS.

b. https://media.edgenuity.com/evresources/649-11-04-00-00_files/i0080005.jpg

Which is the graph of the polar equation r = 4 cos3 theta

b. https://media.edgenuity.com/evresources/649-11-07-00-00_files/i0130003.jpg

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?

c. cos (a -b) = cos a cosb + sin a sin b

An ellipse is represented by the equation (y-3)^2/169+(x+6)^2/144=1 each directrix of this ellipse is a ________________________ from the center on the major axis

c. horizontal line that is 33.8 units

What is the summation notation for the geometric series 1/2+2+8+32+128?

d. https://media.edgenuity.com/evresources/3111-14-08/mc007-5.jpg

Find the ordered triple to represent u in u= 1/2 v - w +2z if v=(4,-3,5) w=(2,6,-1) and z=(3,0,4)

d. https://media.edgenuity.com/evresources/649-11-04-00-00_files/i0200008.jpg

Find the exact value of sin 165 degrees

d. square root 6- square root 2/4

Find the magnitude of wx for w(-3 5 4) and x(9 5 3)

b. sqrt 145

What is the value of 6 E n=2 (n1)!/2

76.5

Four students wrote sequences in math class. Which student wrote a geometric sequence?

c. carter

Brenda already has $200 to put toward the purchase of a new laptop that sells for $450. She will save $50 each month, starting next month, until she can buy the laptop. Which of the following represents the amounts she will have each month, starting next month, until she can afford to buy the laptop (assuming there is no sales tax)?

B. $250, $300,$350,$400,$450

Consider two vectors, A and B, in the Cartesian coordinate system. Vector A begins at the origin, and extends to the point (3, 0, 0). Vector B begins at the origin and extends to the point (0, 2, 0). What vector is the result of B x A?

B. (0, 0, -6)

Which of the following is a geometric series?

B. 1 + 3 + 9 + 27

What is the common ratio of the sequence below? 2/3,1/6.1/24,196...

B. 1/4

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A. The mean of the temperatures in the chart is 24° with standard deviation of 4°. How many years had temperatures within one standard deviation of the mean? https://media.edgenuity.com/evresources/3111-12-08/mc007-1.jpg

B. 25

What is the common ratio of the geometric sequence below?625, 125, 25, 5, 1, ...

B. 25/125

Suppose the mean of a normally distributed population is 300, and 200 simple random samples are drawn from the population. At a 68% confidence level, (one standard deviation from the mean), about how many of the samples' confidence intervals would you expect to contain the population mean?

C. 136

Which of the following is a binomial experiment?

C. Flipping a coin 10 times and recording if it comes up heads

The graph of r =1/1-5 sin theta is symmetric about the __________.

C. Y-axis only

A worker has four different job offers, each with a contract for six years. Assuming the job descriptions are identical, which offer will allow the worker to earn the most over six years?

C. a starting salary of $48,000 with a 6% increase each year

The graph below shows the experimental probability of a runner finishing in first place (1), in second place (2), in third place (3), or not placing (4). Which of the following describes the probability distribution? https://media.edgenuity.com/evresources/3111-12-04/mc001-1.jpg

C. negatively skewed

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu. u=(-8,-8), V=(-1,2)

D. (1.6, -3.2)+(-9.6, -4.8)

The graph of a hyperbola is shown. What are the coordinates of a focus of the hyperbola? https://media.edgenuity.com/evresources/8101/8101-13/8101-13-10/8101-13-10-assessment/8101-13-10-02.PNG

D. (13,0)

Which is the standard form of the equation of the parabola that has a vertex of (-4, -6) and a directrix of y = 3?

a. (x+4)2=-36(y+6)

Find the quotient. 9-6i/5+3i

b. 27/34-57/34

Determine the maximum r-value of the polar equation r= 3+3 cos theta

r=6

Let f(x)=ex and g(x)=x-3 . What are the domain and range of (fog)(x)?

D. domain: all real numbers; range: y > 0

Mustafa is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by (y+2)^2=9(x-2), where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

a. (4.25,-2)

A bird starts from the ground, flies at a certain speed for 5 seconds, and lands on a tree branch. The vector representing its position is (4,10) . It continues to fly in the same direction and at the same speed for 5 more seconds, and lands on another branch. What vector represents its new position from the ground?

a. (8,20)

The graph of an ellipse is shown. Which equation represents this ellipse? https://media.edgenuity.com/evresources/8101/8101-13/8101-13-09/8101-13-09-assessment/8101-13-09-20-image1.PNG

a. (x-6)2/49+(y-2)2/9=1

What is the common ratio of the geometric sequence below?-2, 4, -8, 16, -32, ...

a. -4/2

Justine reflects a vector v across the y-axis. Simonne reflects a vector v by rotating it 90° counterclockwise about the origin. Which of the following vectors has the same image for Justin and Simonne?

a. 4 4 https://media.edgenuity.com/evresources/6129-01-11/mc023-1.jpg

Write an equation in slope-intercept form of the line with the parametric equations x=9t and y=4t +2

a. 4/9x +2

Given vectors u=7i+3j and v=-4i+3j , find 5u-4v in terms of unit vectors i and j.

a. 51i+3j

If f(x)=1/x and g(x)=x+3, which of the following is the graph of (f*g)(x)?

a. https://media.edgenuity.com/evresources/3111-11-09/mc006-4.jpg

Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads? https://media.edgenuity.com/evresources/3111-12-07/mc018-1.jpg

a. https://media.edgenuity.com/evresources/3111-12-07/mc018-2.jpg

The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two ships.

a. sqrt 64=8 mi

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34. Which of the following values is outside the 99% confidence interval for the population mean? Use the table below to help you answer the question.

a. the value of 135 because it is not greater than 136.5

An ellipse has a center at the origin, a vertex along the major axis at (10, 0), and a focus at (8, 0). Which equation represents this ellipse?

a. x2/102+y2/62=1

If f(x) = 2x and g(x)=sqrt x , what is the domain of (fog)(x)?

a. x>0

The graph of which function passes through the point ( 0,pi/2 )

a. y = cos- 1 (x)

The value of a graphed function doubles for each increase of 1 in the value of x. Which of the following could be the parent function of the graphed function?

a. y=2^x

Find an ordered pair to represent t in the equation t=u+v if u=(-1,4) and v=(3,-2) .

b. (2,2)

given T(-5,8,3) and M(-2,-1,-6) find the ordered triple that represents TM. Then find the magnitude of TM.

b. (3,-9,-9); 3 square root 19

Find the cross product (7,9,6) x (-4,1,5). Is the resulting vector perpendicular to the given vectors

b. (39,-59,43);yes

If f(x)=x-3/x, g(x)=x+3, and h(x)==2x+1, what is (g*h*f)(x)?

b. (g*h*f)(x)=6x-6/x

Which points are the foci of the ellipse? (x+1)^2/225 + (y+6)^2/144 =1

b. (−10, −6) and (8, −6)

Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll?

b. -1/6

Which of the following is the result of expanding

b. 15.5

What is the difference between 4∑n=1 2n+1 and 4∑i=1 (2i+1)?

b. 3

Which of the diagrams correctly displays a+b=c , using the triangle method?

b. https://media.edgenuity.com/evresources/454705_b1.jpg

The annual salaries of all employees at a financial company are normally distributed with a mean mu = $34,000 and a standard deviation standard deviation = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?

c. -1.5

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A. The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one standard deviation of the mean?

c. 22

Which angle of rotation is determined by the matrix below? https://media.edgenuity.com/evresources/6129-01-11/mc019-1.jpg

c. 225 degrees

Write ef as the sum of unit vectors e(-12, 15, -9) and f(-12, 17, -22).

c. 2j-13k

Express the complex number 6 in complex trigonometric form.

c. 6(cos 0 +i *sin 0)

Each year, a daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula an = 1.5(2n-1)-100represents the number of daylilies, a, on the farm after n years. After the fifth year, the farmers estimate they have 2,225 daylilies. How many daylilies were on the farm after the first year?

c. 600

Which of the following is the graph of y=-(x-2)3-5

c. https://media.edgenuity.com/evresources/3111-11-07/mc018-4.jpg

Which function has a domain where x/=3 and a range where y/=2

c. https://media.edgenuity.com/evresources/3111-11-08/mc016-5.jpg

If f(x)=1/x and g(x)=x+4, which of the following is the graph of ?

c. https://media.edgenuity.com/evresources/3111-11-09/mc008-6.jpg

Which normal distribution has the greatest standard deviation?

c. https://media.edgenuity.com/evresources/3111-12-08/mc003-3.jpg

Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to help answer the question.

c. https://media.edgenuity.com/evresources/3111-12-09/mc026-3.jpg

Which graph represents the hyperbola y2/62-x2/22=1

c. https://media.edgenuity.com/evresources/8101/8101-13/8101-13-10/8101-13-10-assessment/8101-13-10-13c.png

Which geometric series converges?

d. 1/5+1/20+1/80+1/320

If f(x) = x + 7 and g(x)=1/x, what is (f o g)(x)?

d. 1/x+7

The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle measure are given. What is the measure of angle X? Round the answer to the nearest tenth. https://media.edgenuity.com/evresources/6129-01-12/mc017-1.jpg

d. 50.5 degrees

What is the product of z1 and z2 if z1 = 2(cos70° + i sin70°) and z2 = 4(cos200° + i sin200°)?

d. 8(cos270° + i sin270°)

How is the graph of the parent function y=x2 transformed to produce the graph of y=3(x+1)2 ?

d. It is translated 1 unit left and stretched vertically by a factor of 3.

Which statement about the hyperbola is true? https://media.edgenuity.com/evresources/8101/8101-13/8101-13-10/8101-13-10-assessment/8101-13-10-04.PNG

d. The point (-2,0) is a vertex

a and b have opposite directions, and they both have a magnitude of 7. What must be true about a and b?

d. They are opposites and parallel.

A worker has four different job offers, each with a contract for seven years. Assuming the job descriptions are identical, for which offer will the worker earn the least over seven years?

d. a starting salary of $105,000 with a 4% increase each year

Let f(x)=2^x and g(x)=x-2. The graph of (fog)(x) is shown below.

d. all real numbers

Based on the family the graph below belongs to, which equation could represent the graph? https://media.edgenuity.com/evresources/3111-11-07/mc010-1.jpg

A. y=0.6^x -2

A roofer sketches a diagram of a house on which he is working. Based on the diagram, about how wide is the house?

B. 37.4 feet

The graph below represents the path of a grasshopper as it jumps. Which type of function models the data on the graph? https://media.edgenuity.com/evresources/3111-11-10/mc003-1.jpg

D. quadratic

When graphing the function f(x)=x^2-81/x^2-11x+18 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

a. Xmin: -10, Xmax: 10Ymin: -10, Ymax: 10

Use the dot product to find v when v = (-8,2).

c. 2 square root 17

Let f(x) = x - 4 and g(x)=1/x. The graph of (fog)(x)is shown below. What is the domain of (fog)(x)?

c. all real numbers except x = 4

Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <9,0>, v = <0,-9>

c. orthogonal

In the triangle below, which equation can be used to solve for x? https://media.edgenuity.com/evresources/3111-14-51/mc003-1.jpg

d. 13sin75/sin55

What is the common difference of the arithmetic sequence graphed below? https://media.edgenuity.com/evresources/3111-14-02/mc006-1.jpg

d. 2

Which trigonometric function is equivalent to sec(-270) ?

d. sec(90)

The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean mu = 43.8 miles per gallon and standard deviation sigma = 5.1 miles per gallon. What percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon?

A.68%

A company has a property tax bill for $6,000 this year. It expects property values to rise by 8% each year, which will increase the property tax bill by 8% each year. To the nearest dollar, what is the expected amount of property taxes the company will pay for this year and the upcoming three years?

C) 27,037

Which of the diagrams correctly displays a+b=c , using the parallelogram method?

a. https://media.edgenuity.com/evresources/454706_a2.jpg

Given cscx/cotx= square root 2, find a numerical value of one trigonometric function of x.

a. secx= square root 2

Which equation represents the transformed function below? https://media.edgenuity.com/evresources/3111-11-07/mc015-1.jpg

a. y = logx + 5

Let f(x)=2^x and g(x)=x-4. The graph of (fog)(x) is shown below. what is the range of (fog)(x)?

a. y>0

What are the first four terms of the sequence modeled by the recursive formula an=an-1+5 when a1=-3?

b. -3, 2, 7, 12

Which angle of rotation is determined by the matrix below? https://media.edgenuity.com/evresources/6129-01-11/mc020-1.jpg

b. 60 degrees

Which is equivalent to sin-1(-0.4)? Round your answer to the nearest hundredth of a radian.

c. -0.41 radians

Which shows all the exact solutions of sin2+3cosx-1=2? Give your answer in radians.

c. 2kpi

The times it took for 35 loggerhead sea turtle eggs to hatch in a simple random sample are normally distributed, with a mean of 50 days and a standard deviation of 2 days. Assuming a 95% confidence level (95% confidence level = z-score of 1.96), what is the margin of error for the population mean?

d. 0.66

Find the work done lifting a 290-pound weight 28 feet in the air.

d. 8,120 foot-pounds

A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between the landmarks in degrees. What is the distance, x, between the two landmarks? Round the answer to the nearest tenth.

d. 98.5

The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean and standard deviation sigma. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean?

d. 99.7%

What are the domain and range of the function below? https://media.edgenuity.com/evresources/3111-11-08/mc003-1.jpg

d. domain (-∞,∞) range:(-∞,∞)

Two students have devised a dice game named "Sums" for their statistics class. The game consists of choosing to play odds or evens. Each person takes turns rolling two dice. If the sum is odd, the person playing odds gets points equal to the sum of the roll. If the sum is even, the person playing evens gets points equal to the sum of the roll. Note that the points earned is independent of who is rolling the dice. If Jessica is challenged to a game of Sums, which statement below is accurate in every aspect in guiding her to the correct choice of choosing to play odds or evens?

D. E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by y2=2(x+6), where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

a. (-5.5,0)

The graph of a hyperbola is shown. What are the coordinates of a vertex of the hyperbola? https://media.edgenuity.com/evresources/8101/8101-13/8101-13-10/8101-13-10-assessment/8101-13-10-01.PNG

a. (0,-4)

Madyson borrows $1,200 from her father to purchase airplane tickets. The first week after borrowing the money, Madyson repays her father $50. Each week after that, she is able to repay her father $2 more than the previous week, except in the last week, when she finishes repaying the loan. How much is Madyson's final payment?

a. 78$

As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below. If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?

a. Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.

Janis was offered two different jobs when she graduated from college. She made the graph and table to show how much she would earn over time at each job. When will Janis's salary be the same for job 1 and job 2, and how much will she be earning at that point?

a. The salaries will be the same in year 20, and she will be earning $80,000.

Consider the relationship below, given pi/2<theta<pi. sin2= theta+cos2 theta=1 The values of sin and cos represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos finds the unknown leg, and then all other trigonometric values can be found.

a. The values of sin and cos represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos finds the unknown leg, and then all other trigonometric values can be found.

The second term of an arithmetic sequence is -39. The rule can be used to find the next term of the sequence. What is the explicit rule for the arithmetic sequence?

a. a n = -51 + ( n - 1 ) · 12

During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. The first caller has a chance to win $100. Which equation represents the amount the 10th caller receives if this caller is the first to answer the question correctly?

a. a10=100+(10-1)50

There are 15 rows of seats in an auditorium. The first row has 20 seats, and each of the other rows has 5 more seats than the row immediately in front of it. Which of the following is formed by the list of the number of seats in each row?

a. an arithmetic sequence

The relationship between men's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A men's size 9 fits a foot 10.31 inches long, and a men's size 13 fits a foot 11.71 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

a. an=7.51+0.35(n-1)

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley's monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?

a. domain: greater than/ equal to 0 range: C greater than/ equal to 20

Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 students own 3 pets each, and 2 students own 4 pets each. Eight of the students in the grade own 1 pet. Considering the number of pets as the random variable, X, which of the following is the probability distribution, PX(x)?

a. https://media.edgenuity.com/evresources/3111-12-04/mc012-1.jpg

What are the first three terms of a geometric sequence in which a5=25 and the common ratio is 5?

a. https://media.edgenuity.com/evresources/3111-14-03/mc023-2.jpg

Which summation formula represents the series below?13 + 9 + 5 + 1

a. https://media.edgenuity.com/evresources/3111-14-04/mc008-1.jpg

Which summation formula is equivalent to the one below?

a. https://media.edgenuity.com/evresources/3111-14-04/mc012-2.jpg

Modern Appliances offers a one-year monthly installment plan for a refrigerator. The payment for the first month is $75, and then it increases by 6% each month for the rest of the year. Which expression can be used to find the total paid in the first 12 months?

a. https://media.edgenuity.com/evresources/3111-14-08/mc018-1.jpg

Which expression represents the second partial sum for https://media.edgenuity.com/evresources/3111-14-09/mc002-1.jpg

a. https://media.edgenuity.com/evresources/3111-14-09/mc002-2.jpg

Which series has a sum of 20?

a. https://media.edgenuity.com/evresources/3111-14-09/mc023-1.jpg

In an arithmetic sequence, a14=-75 and a26=-123 . Which recursive formula defines the sequence?

a. https://media.edgenuity.com/evresources/3111-14-10/mc024-3.jpg

What is the common difference of the arithmetic sequence graphed below? https://media.edgenuity.com/evresources/3111-14-02/mc007-1.jpg

b. -3/4

Find a*b if a=3i+8j and b=-0.5i-4j

b. -33.5

Find the inner product for (4, 8) * (6,-3) and state whether the vectors are perpendicular.

b. 0;yes

Mr. Toshiro manages a company that supplies a variety of domestic and imported nuts to supermarkets. He received an order for 120 bags of cashews, 310 bags of walnuts, and 60 bags of Brazil nuts. The prices per bag for each type are $29, $18, and $21, respectively. Using what you have learned about vectors, compute the value of the order.

b. 10,320

In order to make a precise cut from point Q to point S using a saw, Alfonso needs to know the angle measure for the angle whose vertex is S. Based on the diagram below, which equation could Alfonso use to determine the measure of angle S? https://media.edgenuity.com/evresources/3111-14-52/mc015-1.jpg

b. 102=92+112-2(9)(11)cosS

The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. What is the weight of a box of candies with a z-score of 2?

b. 18 oz

A cafeteria purchases milk from one of three providers each week, depending on what other items need to be purchased. The probability of shopping at each store and the cost of one gallon of milk are shown in the table below. The cafeteria should budget $ ______ on average for one gallon of milk.

b. 2.90

What is the approximate perimeter of the triangle below? https://media.edgenuity.com/evresources/3111-14-51/mc007-1.jpg

b. 267

The height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function , where t is the time in seconds since the rocket was shot and f(t) is the rocket's height in feet. What is the maximum height the rocket reaches?

b. 36ft

An airplane is on a route from New York City to Madrid. The velocity of the plane is represented by v=30i-492j+42k. What is the magnitude of the velocity of the airplane?

b. 494.7 mph

Which of the following is the best estimate for the direction of the given vector? https://media.edgenuity.com/evresources/454708_vectorgraph2.jpg

b. 60° E of N

In triangle ABC, A=25, c=55 and AB=60. What are the approximate measures of the remaining side lengths of the triangle?

b. BD=31, AC=72

Bethany used the steps below in an attempt to solve for angle B in triangle ABC. Where is Bethany's error?https://media.edgenuity.com/evresources/3111-14-52/mc010-1.jpg

b. Bethany took the square root of each squared term before isolating cosB and solving for B.

Paige borrows $700 from her parents for a new computer. She repays $100 the first month, and then begins to repay her parents $75 per month. Which recursive formula models the total amount of money still owed, an, at the end of the nth month?

b. a(n-1)-75; a(1)=600

An ellipse has vertices along the major axis at (0, 1) and (0, −9). The foci of the ellipse are located at (0, −1) and (0, −7). The equation of the ellipse is in the form below. (y-k)2/a2+(x-h)2/b2=1 Which is a correct value for one of the variables shown in the equation?

b. b=4

The graph below represents c, the amount a phone company charges, based on m, the number of minutes the customer uses each month. If there are a maximum of 44,640 minutes in a month, which equation best represents the phone company's monthly charges?

b. c = (1/4)m+15, from 0 <= m <= 44,640

Identify the graph of x2-5x+y2=3 for theta=pi/3 and write and equation of the translated or rotated graph in general form.

b. circle; 2(x')2 + 2(y')2 - 5x' - (5sqrt3)y' - 6 = 0

Set up a table of values and then graph the line from its parametric form x= -3t+4 y= 2t-5

b. https://media.edgenuity.com/evresources/1104-11-06-00-00_v2_files/i0050003.jpg

A spinner has two equal sections, one green and one orange. The spinner is spun three times, resulting in the sample space S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}. If the random variable X represents the number of times orange, O, is spun, which graph represents the probability distribution?

b. https://media.edgenuity.com/evresources/3111-12-04/mc016-2.jpg

If a raffle has a winning prize of $100 and each ticket costs $5 with a total of 500 tickets sold, which equation would calculate the expected value?

b. https://media.edgenuity.com/evresources/3111-12-05/mc002-2.jpg

A balloon takes 1 minute to rise 60 feet in the air. Each minute after that, the balloon rises 40% as far as it did the previous minute. Which equation represents the total distance, d, in feet that the balloon rises in 6 minutes?

b. https://media.edgenuity.com/evresources/3111-14-11/mc023-2.jpg

Determine the graph of the polar equation r = 12/6+4cos theta

b. https://media.edgenuity.com/evresources/649-12-05-00-00_files/i0120003.jpg

A wide receiver catches a ball and begins to run for the endzone following a path defined by (x-5,y-50)=t(0,10) A defensive player chases the receiver as soon as he starts running following a path defined by (x-10,y-54)=t(-0.9,-10.72). If the receiver catches the ball on the 50-yard line (y=50), will the defensive player catch him before he reaches the goal line (y=0) ?

b. no

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. Where is the focus of the flashlight?

c. (2, 5.5)

Triangle ABC is shown below. Which point is the coordinate of the image of A under the transformation (0,1,1,0)? https://media.edgenuity.com/evresources/6129-01-11/mc011-1.jpg

c. (4,2)

The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?

c. 0.84

Each year, the number of students taught by Mr. Wright increases by 2. The first year, he taught 18 students. The total number of students taught after 25 years can be represented using the expression . How many students has Mr. Wright taught in 25 years?

c. 1050

Which expression represents the second partial sum for https://media.edgenuity.com/evresources/3111-14-09/mc001-1.jpg

c. 2 + 2(0.4)

In January, Desmond begins saving $25 per month for a used car. Each month, he is able to save $5 more than the previous month. After how many months will Desmond first have enough money to purchase a $3,000 used car?

c. 31

The number of siblings each student at a softball game has is recorded. The graph below shows the probability distribution of having any number of siblings, X, for a randomly selected student. Which number of siblings is least likely? https://media.edgenuity.com/evresources/3111-12-04/mc019-1.jpg

c. 4 siblings

An object is attached to a spring that is stretched and released. The equation d= -8cos((pi/6)*t) models the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.

c. 4.62 seconds

A hyperbola centered at the origin has a vertex at (−6, 0) and a focus at (10, 0). Which are the equations of the directrices?

c. C) x= +or- 18/5

If a data value in a normal distribution has a negative z-score, which of the following must be true?

c. The data value must be less than the mean.

Mr. Bryant wants to distribute a copy of a chart to his students. He reduces the area of the chart a number of times on a photocopier, as shown in the table below. If the fifth reduction follows the pattern in the table, which of the following represents the area of the image?

c. a term in a geometric sequence

What is the explicit rule for the arithmetic sequence shown in the graph? https://media.edgenuity.com/evresources/3111-14-02/mc020-1.jpg

c. an=9.5+2(n-1)

A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is x, while the standard deviation is s. What is the 99% confidence interval for the population mean? Use the table below to help you answer the question.

c. https://media.edgenuity.com/evresources/3111-12-10/mc025-4.jpg

Which of the following can be used to evaluate the series https://media.edgenuity.com/evresources/3111-14-08/mc011-1.jpg

c. https://media.edgenuity.com/evresources/3111-14-08/mc011-4.jpg

Which of the following conditions must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population?

c. n≥30

For what values of theta (0<theta<2pi) do maximum r-values occur on the graph the polar equation r = 3 + 2 sin theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.

c. pi/2

Write parametric equations of the line 2x+3y=11

c. x=t, y= -(2t/3)+(11/3)

Write an equation in slope-intercept form of the line with the given parametric equations.x = -3t+5y = 8t+9

c. y=-8/3+67/3

Which equation describes how the parent function, y=x^3 , is vertically stretched by a factor of 4?

c. y=4x^3

Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by(x-4)2=3(y-3) , where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. Where should the feed antenna be placed?

d. 0.75 inches above the vertex.

Xavier exercises by riding his bike. During his first week of training, he rides a total of 15 miles. Each week he increases the number of miles biked by 0.4 miles. How many total weeks will it take Xavier to first bike more than 500 miles total?

d. 26

Two trains leave a station on different tracks. The tracks make an angle of 130°, with the station as a vertex. The first train travels 100 km and makes its first stop at point A, while the second train travels 200 km and makes it first stop at point B. How far apart are the trains when both are at their first stop? Round the answer to the nearest integer.

d. 275 km

A piling for a high-rise building is pushed by two bulldozers at exactly the same time. One bulldozer exerts a force of 1250 pounds in a westerly direction. The other bulldozer pushes the piling with a force of 2650 pounds in a northerly direction. What is the magnitude of the resultant force upon the piling, to the nearest ten pounds?

d. 2930 lbs

Dwayne and Alisha both correctly graphed a standard normal curve. Which of the following statements is true?

d. Both the means and the standard deviations of Dwayne's and Alisha's graphs must be the same.

What is the explicit formula for the arithmetic sequence in the table below?

d. an = 9.2 - 1.8(n - 1)

The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A women's size 7 fits a foot inches long, and a women's size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

d. an=7.35+ 0.33(n-1)

Eddie solved for the length of side c in triangle CBD using the Law of Cosines formula, c2=a2+b2-2abcosC. Sophia wants to solve for the side length of b. Which equation could Sophia use to solve for the side length of b, given the other two side lengths and the measure of their included angle?

d. b² = a² + c² - 2ac cos B

The function h(t) = -4.92t ² + 17.69t + 575 is used to model an object being tossed from a tall building, where h(t) is the height in meters and t is the time in seconds. Rounded to the nearest hundredth, what are the domain and range?

d. domain [0, 12.76] range [0, 590.9]

At a peanut butter factory, the daily production cost, C, for j jars of peanut butter is modeled by the graph below. What are the domain and range of the function C(j)? https://media.edgenuity.com/evresources/3111-11-08/mc021-1.jpg

d. domain j>0, range C>2,500

What are the domain and range of the function f(x)=1/4(x3+6x2+5x-4)

d. domain: -infinity infinity range: -infinity infinity

Four students wrote sequences during math class. Which student wrote a geometric sequence?

d. doug

Determine e, k, and identify the type of conic for r= 12/7-cos theta

d. e = 1/7 , k = 12 , conic ellipse

Identify the graph of 9x2+4xy+5y2-40=0 and find to theta the nearest degree.

d. ellipse; 23°

Wyatt claims that __ is equivalent to __ . Which statement about his claim is true in every aspect?

d. false, because when combined in this manner, the alternating signs of the series are lost(Wyatt ignored the negative in the first factor.)

Which equation is a true statement about triangle CBD below? https://media.edgenuity.com/evresources/6129-01-12/mc008-2.jpg

d. h2 = a2 - x

For a standard normal distribution, which of the following expressions must always be equal to 1?

d. https://media.edgenuity.com/evresources/3111-12-09/mc024-4.jpg

Which of the following is an arithmetic sequence?

d. https://media.edgenuity.com/evresources/3111-14-02/mc012-4.jpg

Which geometric series converges?

d. https://media.edgenuity.com/evresources/3111-14-09/mc012-4.jpg

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

d. https://media.edgenuity.com/evresources/3111-14-10/mc018-4.jpg

Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance, compounded annually. Which recursive formula represents the total amount of money in Victoria's account at the end of the nth year?

d. https://media.edgenuity.com/evresources/3111-14-10/mc023-4.jpg

For what values do maximum r-values occur on the graph the polar equationr=-3 + 4 cos theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.

d. pi

Which points are the vertices of the ellipse? https://media.edgenuity.com/evresources/8101/8101-13/8101-13-09/8101-13-09-assessment/8101-13-09-01-image1.PNG

d. points S and T

Find the polar equation of the conic with the focus at the pole, directrix x = 4, and eccentricity 1.

d. r=4/1+cos theta; parabola

Given cos theta = 4/9 and csc theta <0, find sin theta and tan theta

d. sin theta= -square root 65/9, tan theta= -square root 65/4

Which double angle or half angle identity would you use to verify that sin2x/2sin2x=cot x

d. sin2x= 2 sinx cosx

Given 1+cosx/sinx + sinx/1+cosx =4, find a numerical value of one trigonometric function of x.

d. sinx=1/2

Find csc x if sin x + cot x cos x = square root 3

d. square root 3

What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0

d. vertex (-4, 3); focus (-4, 2); directrix y = 4

A hyperbola centered at the origin has a vertex at (0,−40) and a focus at (0, 41). Which are the equations of the asymptotes?

d. y = +/- 40/9 x

The graph of y=x3 is transformed as shown in the graph below. Which equation represents the transformed function?

d. y=(-x)^3-4

The graph of the parent function y=x3 is horizontally stretched by a factor 1/5 of and reflected over the y-axis. What is the equation of the transformed function?

d. y=-(1/5x)^3