# ONLINE PRE CALC

Find the quotient. 649-11-09-00-00_files/i0160000.jpg

B

Determine e, k, and identify the type of conic for R= 12/7-COS THETHA

D

Evelyn has a bag containing red (R), blue (B), and green (G) marbles as shown below. mc009-1.jpg If each marble is replaced after it is drawn, what is the probability of randomly drawing three

D

Solve the system of equations algebraically. 649-02-01-00-00_files/i0140000.jpg a. 649-02-01-00-00_files/i0140001.jpg c. no solution b. many solutions d. 649-02-01-00-00_files/i0140002.jpg

d (6,4)

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag. What is the approximate probability that exactly two of the five are blue?

36%

Which ratio of distances is constant for a point on a nondegenerate conic? a. distance to center: distance to directrix c. distance to center: distance to vertex b. distance to focus: distance to vertex d. distance to focus: distance to directrix

D

Solve the system of equations by graphing. 649-02-01-00-00_files/i0040000.jpg

D it in the 3rd quad

Solve the system of equations by graphing. 649-02-01-00-00_files/i0060000.jpg

D the y intercept is between 15 and 20 positive

Solve the system of equations by graphing. 649-02-01-00-00_files/i0030000.jpg

b

Determine whether the vectors u and v are parallel, orthogonal, or neither. u = 649-11-03-00-00_files/i0020000.jpg, v = 649-11-03-00-00_files/i0020001.jpg

C

Find 649-11-05-00-00_files/i0030000.jpg if 649-11-05-00-00_files/i0030001.jpg and 649-11-05-00-00_files/i0030002.jpg.

C

From two-dimensional space to three dimensional space, the number of quadrants ___________.

C

If 649-02-04-00-00_files/i0040000.jpg and 649-02-04-00-00_files/i0040001.jpg find 649-02-04-00-00_files/i0040002.jpg

C

If 649-02-04-00-00_files/i0110000.jpg and 649-02-04-00-00_files/i0110001.jpg find 649-02-04-00-00_files/i0110002.jpg

C

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? a. 2340 lbs. c. 3900 lbs. b. 2670 lbs. d. 2930 lbs.

D

A wide receiver catches a ball and begins to run for the endzone following a path defined by 649-11-06-00-00_files/i0130000.jpg. A defensive player chases the receiver as soon as he starts running following a path defined by 649-11-06-00-00_files/i0130001.jpg. Write parametric equations for the path of each player.

B

Convert r = 649-12-05-00-00_files/i0220000.jpg to Cartesian form.

B

Find an equation equivalent to in rectangular coordinates and describe the graph of the equation.

B

Which is the equation of a parabola with Vertex (0, 0) and directrix x = -2?

B

Which is the graph of 649-12-02-00-00_files/i0180000.jpg?

B

Find the center and radius of the circle with the equation: 649-12-01-00-00_files/i0050000.jpg a. center: (-5, 1) radius: 4 c. center: (-5, 1) radius: 2 b. center: (5, -1) radius: 4 d. center: (5, -1) radius: 2

D

Find the equation of the hyperbola centered at the origin that satisfies the given conditions: 649-12-03-00-00_files/i0030000.jpg, asymptote 649-12-03-00-00_files/i0030001.jpg 649-12-03-00-00_files/i0030002.jpgx.

D

Find the inverse of the matrix 649-02-06-00-00_files/i0190000.jpg if it exists

D

Find the length of each petal of the polar curve r = 4 + 2 cos3649-11-08-00-00_files/i0180000.jpg. Note that this means the distance from the pole to the farthest point on the petal, not the arc length.

D

Given that v = 649-12-06-00-00_files/i0170000.jpg and w = 649-12-06-00-00_files/i0170001.jpg , evaluate v • w.

NOT C

Which of the following correctly displays 649-11-01-00-00_files/i0180002.jpg.

NOT C

A math club is researching a golf tournament fund-raiser. It will cost $1,000 to host the tournament. If it rains, the club will lose the investment. If it is sunny, it is expected that the club will collect $4,500 from the participants. If the chance of rain is 20%, what is the expected value for the tournament?

$2600

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.

2.90

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.

3.70

Plot the point 649-11-07-00-00_files/i0050000.jpg.

A

The graph of r = 1 + 5 sin649-11-08-00-00_files/i0150000.jpg is symmetric about the __________.

A

Marco has a bag of red, blue, and green tiles. Which set of events would be considered independent?

A tile is drawn and replaced, and then a second tile is drawn.

A bakery sells giant cookies, sheet cakes and 3-tiered cakes. The time required for each step is given in the matrix below baking decorating 649-02-04-00-00_files/i0200000.jpg The cost per hour for baking and decorating is given by the matrix below. Which product does it cost $6.50 to bake and decorate 1 unit? cost/hr 649-02-04-00-00_files/i0200001.jpg

B

The major axis and minor axis of an ellipse are lines, not line segments Please select the best answer from the choices provided

FALSE

What is the probability of the complement of rolling a number less than 5 by using a six-sided die?

NOT 2/5

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

NOT B

Which is a pair of dependent events?

removing a marble from a bag, not putting it back, and then removing a second marble

Determine the graph of the polar equation r = 649-12-05-00-00_files/i0100000.jpg.

C

Determine which equation is belongs to the graph of the limacon curve below.[-5,5] by [-5,5] HAS A LOOP INSIDE IT

A

Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence. What is the probability that the sequence is guessed on the first try?

A

Which of the following rules best describes the matrix below? 649-02-05-00-00_files/i0150000.jpg a. rotation of 90649-02-05-00-00_files/i0150001.jpg counterclockwise about the origin c. rotation of 180649-02-05-00-00_files/i0150002.jpg about the origin b. reflection over the line y = x d. translation 1 unit left and 1 unit up

B

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. 649-02-03-00-00_files/i0100000.jpg

C

The probability of choosing a rotten apple from the bag of apples is mc004-1.jpg. Which term best describes this probability?

likely

Ava surveyed the students in her homeroom about their footwear. She found that 12 students were wearing sneakers, 4 students were wearing boots, and 6 students were wearing dress shoes. She used this data to create a tool that would predict the footwear of randomly chosen students in the school. She placed 2 blue marbles, 3 red marbles, and 6 yellow marbles in a bag, and selected one marble, with replacement, for each student. What is the predicted footwear of three randomly chosen students if Ava drew two yellow marbles and 1 blue marble?

2 students wearing sneakers and 1 student wearing boots

Which value cannot represent the probability of an event occurring?

3/2

A furniture maker has a rectangular block of wood that measures 649-12-02-00-00_files/i0230000.jpg inches by 25 inches. He wants to cut it to make the largest elliptical table top possible. Find an equation of the ellipse he can use, placing the center at the origin and the major axis on the x-axis. Locate the approximate foci of the ellipse. a. (-14.0, 0) and (14.0, 0) c. (6.5, 0) and (-6.5, 0) b. (4.0, 0) and (-4.0, 0) d. (12.5, 0) and (-12.5, 0)

A

Find 649-11-05-00-00_files/i0050000.jpg if 649-11-05-00-00_files/i0050001.jpg and 649-11-05-00-00_files/i0050002.jpg.

A

Find the equation of the circle with center at (3, -2) and radius of 3. a. 649-12-01-00-00_files/i0030000.jpg c. 649-12-01-00-00_files/i0030001.jpg b. 649-12-01-00-00_files/i0030002.jpg d. 649-12-01-00-00_files/i0030003.jpg

A

Write the ordered pair that represents 649-11-02-00-00_files/i0080000.jpg. Then find the magnitude of 649-11-02-00-00_files/i0080001.jpg. 649-11-02-00-00_files/i0080002.jpg

A

Write the ordered pair that represents 649-11-02-00-00_files/i0110000.jpg. Then find the magnitude of 649-11-02-00-00_files/i0110001.jpg. 649-11-02-00-00_files/i0110002.jpg

A

Find an ordered triple to represent 649-11-04-00-00_files/i0100000.jpg in the equation 649-11-04-00-00_files/i0100001.jpg if 649-11-04-00-00_files/i0100002.jpg and 649-11-04-00-00_files/i0100003.jpg.

B

Find an ordered triple to represent 649-11-04-00-00_files/i0190000.jpg in 649-11-04-00-00_files/i0190001.jpg if 649-11-04-00-00_files/i0190002.jpg, 649-11-04-00-00_files/i0190003.jpg, and 649-11-04-00-00_files/i0190004.jpg.

B

Use the dot product to find 649-11-03-00-00_files/i0170000.jpg when v = 649-11-03-00-00_files/i0170001.jpg.

C

Find 649-11-05-00-00_files/i0020000.jpg if 649-11-05-00-00_files/i0020001.jpg and 649-11-05-00-00_files/i0020002.jpg.

D

Which is the graph of 649-12-02-00-00_files/i0190000.jpg?

D

For what values of 649-11-08-00-00_files/i0110000.jpg (0649-11-08-00-00_files/i0110001.jpg) do maximum r-values occur on the graph the polar equation r = 3 + 2 sin649-11-08-00-00_files/i0110002.jpg? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.

NOT A

Identify the graph of 649-12-04-00-00_files/i0130000.jpg for 649-12-04-00-00_files/i0130001.jpg and write an equation of the translated or rotated graph in general form. a. parabola; 649-12-04-00-00_files/i0130002.jpg c. parabola; 649-12-04-00-00_files/i0130003.jpg b. ellipse; 649-12-04-00-00_files/i0130004.jpg d. ellipse; 649-12-04-00-00_files/i0130005.jpg

NOT A

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?

NOT A

The Ferris Wheel first appeared at the 1893 Chicago Exposition. Its axle was 45 feet long. Spokes radiated from it that supported 36 wooden cars, which could hold 60 people each. The diameter of the wheel itself was 250 feet. Suppose the axle was located at the origin. Given that the starting point is at the loading platform, find the location of the car at the 270649-02-05-00-00_files/i0180000.jpg counterclockwise rotation position.

NOT A

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. 649-02-03-00-00_files/i0060000.jpg

NOT A

Twelve of the 20 students in Mr. Skinner's class brought lunch from home. Fourteen of the 21 students in Ms. Cho's class brought lunch from home. Siloni is using two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria. If each spinner is divided into 15 congruent sectors, how does the spinner representing Mr. Skinner's class differ from the spinner representing Ms. Cho's class?

NOT A

Which is the equation of a parabola with Vertex (0, 0) and directrix y = 4? a. 649-12-01-00-00_files/i0140000.jpg c. 649-12-01-00-00_files/i0140001.jpg b. 649-12-01-00-00_files/i0140002.jpg d. 649-12-01-00-00_files/i0140003.jpg

NOT A

Steve Herr is an architect in Minneapolis, Minnesota. His latest project is designing a park. On the blueprint, the park is determined by a plane which contains the points at 649-11-05-00-00_files/i0230000.jpg and 649-11-05-00-00_files/i0230001.jpg. One of the features of the park is a monument that must be perpendicular to the ground.

NOT B

Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the same coordinate grid. 649-02-05-00-00_files/i0090000.jpg with vertices 649-02-05-00-00_files/i0090001.jpg reflected over the line x = y.

NOT B

Using the matrices below, determine if the product of BA is defined. If defined, state its dimensions. 649-02-04-00-00_files/i0210000.jpg 649-02-04-00-00_files/i0210001.jpg

NOT B

Which is the equation of a hyperbola centered at the origin with vertex 649-12-03-00-00_files/i0090000.jpg that passes through 649-12-03-00-00_files/i0090001.jpg?

NOT B

Which is the equation of a parabola with focus (-5, 3) and vertex (-5, 6)? a. 649-12-01-00-00_files/i0210000.jpg c. 649-12-01-00-00_files/i0210001.jpg b. 649-12-01-00-00_files/i0210002.jpg d. 649-12-01-00-00_files/i0210003.jpg

NOT B

Determine which equation is belongs to the graph of the limacon curve below.[-5,5] by [-5,5]

NOT C

Determine which equation is belongs to the graph of the limacon curve below. [-5,5] by [-5,5]

NOT D

Find an ordered triple to represent 649-11-04-00-00_files/i0090000.jpg in the equation 649-11-04-00-00_files/i0090001.jpg if 649-11-04-00-00_files/i0090002.jpg and 649-11-04-00-00_files/i0090003.jpg.

NOT D

If P(not yellow) = mc018-1.jpg, which best describes the probability of the complement of the event?

P(YELLOW)= 11/15

A company makes a $5 profit on each non-faulty product it sells. Approximately 2% of the products manufactured are faulty, with no way to discover which ones are faulty before delivery. If replacement-and-repair costs for the faulty products are $100 each, what is the profit per item?

PROFIT OF $2.90

The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario. mc011-1.jpg Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded?

THE FLIGHT WILL BE LATE ON ONE OF THE 3 DAYS C

The inverse of 649-02-06-00-00_files/i0280000.jpg is 649-02-06-00-00_files/i0280001.jpg.

TRUE

The point (-3,2,-2) lies in the VI octant.

TRUWE

The table shows the number of grade 7 and grade 8 students on the student council at Jeremy's school. Grade Levels of Student Council Members Number of Students Grade 7 17 Grade 8 34 Every day, two student council members are randomly chosen to read the morning announcements. Students cannot be chosen more than once to read the announcements. Jeremy designed a simulation for the selection of the students and gathered data to predict the probability that a seventh grade student will be chosen. In Jeremy's simulation, he rolls two number cubes in each of 40 trials. In each trial, a cube landing on 1 or 2 represents a student in grade 7 being selected, and a cube landing on 3, 4, 5, or 6 represents a student in grade 8.

The number of outcomes representing each grade level does not change after the first student is chosen.

Solve the system of equations. 649-02-02-00-00_files/i0200000.jpg a. 649-02-02-00-00_files/i0200001.jpg c. 649-02-02-00-00_files/i0200002.jpg b. 649-02-02-00-00_files/i0200003.jpg d. 649-02-02-00-00_files/i0200004.jpg

a (x=1, y=-1. z=1)

HomePride manufactures solid oak racks for displaying baseball equipment and karate belts. They usually sell six times as many baseball racks as karate-belt racks. The net profit is $3 from each baseball rack and $5 from each karate-belt rack. If the company wants a total profit of $46,000, how many of each type of rack should they sell? a. 2,000 baseball 30,000 karate c. 15,000 baseball 1,500 karate b. 12,000 baseball 2,000 karate d. 800 baseball 20,000 karate

b

Solve the system of equations. 649-02-02-00-00_files/i0150000.jpg a. 649-02-02-00-00_files/i0150001.jpg c. 649-02-02-00-00_files/i0150002.jpg b. 649-02-02-00-00_files/i0150003.jpg d. 649-02-02-00-00_files/i0150004.jpg

c (x=1,y=-1,z=1)

The marketing club at school is opening a student store. They randomly survey 50 students about how much money they spend on lunch each day. What is the expected value for a student to spend on lunch each day?

$5.18

Solve the system of equations algebraically. 649-02-01-00-00_files/i0130000.jpg a. 649-02-01-00-00_files/i0130001.jpg c. no solution b. many solutions d. 649-02-01-00-00_files/i0130002.jpg

(0,-2) d

A standard deck of 52 playing cards contains 13 cards in each of four suits: diamonds, hearts, clubs, and spades. Two cards are chosen from the deck at random. What is the approximate probability of choosing one club and one heart?

0.1275

A student must choose to participate in two different events during field day. There are four track events, two academic events, and six team sports events. What is the approximate probability that the student will choose to participate in two team sports

0.227

A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites, she has to leave for school. What is the approximate probability that she checked a social website first, then a school-related website?

0.267

A restaurant offers three vegetable side dishes, two fruit side dishes, and five grain-based side dishes. Each entree comes with two side dishes. What is the approximate probability of randomly choosing one vegetable and one grain-based side dish?

0.3333333

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?

0.4

The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released. He used that data to create a simulation to predict the probability that future customers will cancel their preorders. According to the manager's model, what is the probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released?

1/16

What is the probability of the spinner landing on 2? mc009-1.jpg

1/4

How many different possible outcomes are there when Jillana spins the spinner below and then flips the coin? mc001-1.jpg mc001-2.jpg

12

A lock is opened using a sequence of three numbers. The numbers range from 0 to 39, inclusive, and cannot be repeated within the sequence. What is the probability that all the numbers in the sequence are even? Express your answer as a percent and round to the nearest whole number.

12%

Camila flips a fair coin two times and then spins a four-section spinner. mc006-1.jpgmc006-2.jpg mc006-3.jpg

16

A code is made up of 1 letter, out of a possible 26, in the first position. One digit, 0-9, occupies each of the second and third positions. The digit cannot be repeated. How many possible outcomes exist?

2340

If the probability of an event is mc017-1.jpg, what must be the probability of its complement?

5/7

What is the probability of the complement of spinning an even number by using the spinner below? mc021-1.jpg

5/8

Three marbles, one red (R), one yellow (Y), and one blue (B), are placed in a bag. A fair coin is flipped, and then a marble is drawn out of the bag at random. A tree diagram of the events is shown below.

6

A spinner has 4 equally-sized sections, labeled A, B, C, and D. It is spun and a fair coin is tossed. What is the denominator of the simplified fraction representing the probability of spinning "C" and flipping "heads"? P(spinning C and flipping heads) =

8

649-11-01-00-00_files/i0020000.jpg and 649-11-01-00-00_files/i0020001.jpg have the same direction, and they both have a magnitude of 6. What must be true about 649-11-01-00-00_files/i0020002.jpg and 649-11-01-00-00_files/i0020003.jpg?

A

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 . 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

A business has an opportunity to invest $35,000. If the investment is a success, the business earns a profit of $150,000. Otherwise, the investment will result in a total loss of all monies. If the investment has 0.27 chance of success, which equation correctly models the expected value of this investment?

A

A coin is flipped, then a number cube is rolled. The tree diagram shows the possible outcomes. What is P(heads, then 2)?

A

A dealer has a lot that can hold 30 vehicles. In this lot, there are two available models, A and B. The dealer normally sells at least twice as many model A cars as model B cars. If the dealer makes a profit of $1300 on model A cars and $1700 on model B cars, how many of each car should the dealer have in the lot given that the total profit for the sale of both cars is $43,000? a. 20 model A 10 model B c. 5 model A 25 model B b. 10 model A 20 model B d. 16 model A 14 model B

A

A fair coin is tossed, and a marble is chosen from the bag whose contents are shown below. mc011-1.jpg What is the probability of the coin landing heads up and a blue (B) marble being randomly selected?

A

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 direction of the resulting force upon the piling, to the nearest degree?

A

Express the complex number 649-11-09-00-00_files/i0080000.jpg(cos315° + i sin315°) in standard a + bi form. a. 649-11-09-00-00_files/i0080001.jpg c. 649-11-09-00-00_files/i0080002.jpg b. 649-11-09-00-00_files/i0080003.jpg d. 649-11-09-00-00_files/i0080004.jpg

A

Find the angle between u = 649-11-03-00-00_files/i0140000.jpg and v = 649-11-03-00-00_files/i0140001.jpg. Round to the nearest tenth of a degree. a. 32.5649-11-03-00-00_files/i0140002.jpg c. 42.5649-11-03-00-00_files/i0140003.jpg b. 6.3649-11-03-00-00_files/i0140004.jpg d. 16.3649-11-03-00-00_files/i0140005.jpg

A

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° ) c. 3(cos 199° + i sin 199° ); 3(cos 259° + i sin 259° ); 3(cos 139° + i sin 139° ) b. 3(cos 109° + i sin 109° ); 3(cos 229° + i sin 229° ); 3(cos 229° + i sin 229° ) d. 3(cos 109° + i sin 109° ); 3(cos 169° + i sin 169° ); 3(cos 49° + i sin 49° )

A

Find the inner product for 649-11-05-00-00_files/i0140000.jpg and state whether the vectors are perpendicular.

A

Find the inverse of the matrix 649-02-06-00-00_files/i0080000.jpg, if it exists.

A

Find the magnitude of 649-11-04-00-00_files/i0060000.jpg for 649-11-04-00-00_files/i0060001.jpg and 649-11-04-00-00_files/i0060002.jpg.

A

Find the maximum value of the function for the polygonal convex set determined by the given system of inequalities. 649-02-07-00-00_files/i0140000.jpg 649-02-07-00-00_files/i0140001.jpg

A

Given P(-7,3,-7) and Q(-4,-3,-9), find the midpoint of the segment PQ.

A

Given vectors 649-11-02-00-00_files/i0040000.jpg and 649-11-02-00-00_files/i0040001.jpg, find 649-11-02-00-00_files/i0040002.jpg in terms of unit vectors 649-11-02-00-00_files/i0040003.jpgand 649-11-02-00-00_files/i0040004.jpg.

A

Given vectors 649-11-02-00-00_files/i0050000.jpg and 649-11-02-00-00_files/i0050001.jpg, find 649-11-02-00-00_files/i0050002.jpg in terms of unit vectors 649-11-02-00-00_files/i0050003.jpgand 649-11-02-00-00_files/i0050004.jpg.

A

Graph Quadrilateral ABCD whose vertex matrix is shown below. Then graph the dilation of Quadrilateral ABCD with a scale factor of 3 on the same coordinate grid. Quadrilateral ABCD with vertex matrix 649-02-05-00-00_files/i0020000.jpg

A

Identify the equation of the translated graph in general form 649-12-04-00-00_files/i0050000.jpg a. x2 + y2 + 16x - 8y + 73 = 0 c. x2 + y2 + 16x + 8y + 73 = 0 b. x2 + y2 + 8x - 4y - 73 = 0 d. x2 + y2 + 8x + 4y + 73 = 0

A

If 649-02-04-00-00_files/i0030000.jpg and 649-02-04-00-00_files/i0030001.jpg find 649-02-04-00-00_files/i0030002.jpg

A

If 649-02-04-00-00_files/i0120000.jpg and 649-02-04-00-00_files/i0120001.jpg find 649-02-04-00-00_files/i0120002.jpg

A

If 649-02-04-00-00_files/i0140000.jpg and 649-02-04-00-00_files/i0140001.jpg, find BA.

A

Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the probability that both students chosen are sophomores?

A

Solve the system by using a matrix equation. 649-02-06-00-00_files/i0130000.jpg

A

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. 649-02-03-00-00_files/i0130000.jpg 649-02-03-00-00_files/i0130001.jpg 649-02-03-00-00_files/i0130002.jpg

A

Suppose that during a storm the force of the wind blowing against a skyscraper can be expressed by the vector 649-11-04-00-00_files/i0130000.jpg, where each measure in the ordered triple represents the force in newtons. what is the magnitude of this force? a. 649-11-04-00-00_files/i0130001.jpg N c. 649-11-04-00-00_files/i0130002.jpg N b. 649-11-04-00-00_files/i0130003.jpg N d. 649-11-04-00-00_files/i0130004.jpg N

A

The angle between a 180-pound force F and 649-11-03-00-00_files/i0230000.jpg = 5i + 2j is 30649-11-03-00-00_files/i0230001.jpg. Find the work done by F in moving and object from A to B. a. 649-11-03-00-00_files/i0230002.jpg 839 foot-pounds c. 649-11-03-00-00_files/i0230003.jpg 1091.19 foot-pounds b. 649-11-03-00-00_files/i0230004.jpg 484.66 foot-pounds d. 649-11-03-00-00_files/i0230005.jpg 969.33 foot-pounds

A

The spinners shown below are each spun one time. mc013-1.jpgmc013-2.jpg What is the probability that both spinners will land on 2?

A

The track team gives awards for first, second, and third place runners. There are 10 students from school A and 12 students from school B competing. Which expression represents the probability that all three awards will go to a student from school B?

A

Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the same coordinate grid. 649-02-05-00-00_files/i0070000.jpg with vertices 649-02-05-00-00_files/i0070001.jpg reflected over the x-axis.

A

Use matrices to determine the coordinates of the vertices of the rotated figure. Then graph the pre-image and the image of the same coordinate grid. 649-02-05-00-00_files/i0110000.jpgfor 649-02-05-00-00_files/i0110001.jpg with vertices 649-02-05-00-00_files/i0110002.jpg

A

Which is the equation for a sphere with the center (8,-6,6) and radius 6? a. (x - 8)2 + (y + 6)2 + ( z - 6)2 = 36 c. (x + 8)2 + (y - 6)2 + ( z + 6)2 = 6 b. (x + 8)2 + (y - 6)2 + ( z + 6)2 = 36 d. (x - 8)2 + (y + 6)2 + ( z - 6)2 = 6

A

Which is the equation for the graph of the limacon curve below? [-5,5] by [-5,5]

A

Which is the equation of a hyperbola centered at the origin with focus 649-12-03-00-00_files/i0110000.jpg and vertex 649-12-03-00-00_files/i0110001.jpg?

A

Which is the equation of an ellipse centered at the origin with foci on x-axis, major axis of length 12 and minor axis of length 8? a. 649-12-02-00-00_files/i0120000.jpg c. 649-12-02-00-00_files/i0120001.jpg b. 649-12-02-00-00_files/i0120002.jpg d. 649-12-02-00-00_files/i0120003.jpg

A

Which is the graph of 649-12-03-00-00_files/i0130000.jpg?

A

Which is the graph of the equation 649-12-03-00-00_files/i0050000.jpg

A

Write parametric equations of the line 649-11-06-00-00_files/i0160000.jpg.

A

Write parametric equations of the line 649-11-06-00-00_files/i0200000.jpg.

A

Write parametric equations of the line with the equation 649-11-06-00-00_files/i0090000.jpg.

A

Write the augmented matrix for each system of equations. 649-02-03-00-00_files/i0040000.jpg

A

Write the equation of the line with the parametric equations 649-11-06-00-00_files/i0210000.jpg and 649-11-06-00-00_files/i0210001.jpg in slope-intercept form.

A

Write the ordered pair that represents 649-11-02-00-00_files/i0130000.jpg. Then find the magnitude of 649-11-02-00-00_files/i0130001.jpg. 649-11-02-00-00_files/i0130002.jpg

A

A bank requires a four-digit access code for each account. The access code is generated using the digits 0-9, and the digits can be repeated. What is the probability of an access code "1234"?

A 1/10000

Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?

A NUMBER CUBE

A constant force of F = 47i + 30j moves an object along a vector D = 13i - 8j, where units are in pounds and feet. Find the work done.

B

Determine the graph, foci and asymptote equations of 649-12-03-00-00_files/i0150000.jpg.

B

Find a 649-11-03-00-00_files/i0090000.jpg b if a = 3i + 8j and b = -0.5i - 4j. a. 649-11-03-00-00_files/i0090001.jpg c. 649-11-03-00-00_files/i0090002.jpg b. -33.5 d. -30.5

B

Find an ordered pair to represent 649-11-02-00-00_files/i0150000.jpg in the equation 649-11-02-00-00_files/i0150001.jpg if 649-11-02-00-00_files/i0150002.jpg and 649-11-02-00-00_files/i0150003.jpg.

B

Find the equation of the circle with center at (-1, -4) and radius of 2. a. 649-12-01-00-00_files/i0040000.jpg c. 649-12-01-00-00_files/i0040001.jpg b. 649-12-01-00-00_files/i0040002.jpg d. 649-12-01-00-00_files/i0040003.jpg

B

Find the foci for the ellipse given by the equation: 649-12-02-00-00_files/i0220000.jpg a. (5, 0) and (-5, 0) c. (0, 3) and (0, -3) b. (4, 0) and (-4, 0) d. (0, 0) and (-1, 0)

B

Find the inner product for 649-11-05-00-00_files/i0110000.jpg and state whether the vectors are perpendicular.

B

Find the inner product for 649-11-05-00-00_files/i0170000.jpg and state whether the vectors are perpendicular.

B

Find the magnitude of 649-11-04-00-00_files/i0040000.jpg for 649-11-04-00-00_files/i0040001.jpg and 649-11-04-00-00_files/i0040002.jpg.

B

Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities. 649-02-07-00-00_files/i0100000.jpg 649-02-07-00-00_files/i0100001.jpg

B

Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities. 649-02-07-00-00_files/i0110000.jpg 649-02-07-00-00_files/i0110001.jpg

B

Find the quotient. 649-11-09-00-00_files/i0130000.jpg a. 2(cos 125° + i sin 125°) c. 649-11-09-00-00_files/i0130001.jpg(cos 649-11-09-00-00_files/i0130002.jpg + i sin 649-11-09-00-00_files/i0130003.jpg) b. 649-11-09-00-00_files/i0130004.jpg(cos 125° + i sin 125°) d. 2(cos 649-11-09-00-00_files/i0130005.jpg + i sin 649-11-09-00-00_files/i0130006.jpg)

B

Given 649-11-04-00-00_files/i0080000.jpg find an ordered triple that represents 649-11-04-00-00_files/i0080001.jpg and find the magnitude of 649-11-04-00-00_files/i0080002.jpg.

B

Identify the equation of the translated graph in general form 649-12-04-00-00_files/i0030000.jpg a. 649-12-04-00-00_files/i0030001.jpg c. 649-12-04-00-00_files/i0030002.jpg b. 649-12-04-00-00_files/i0030003.jpg d. x2 - y2 + 2x + 4y - 3 = 0

B

Identify the equation of the translated graph in general form 649-12-04-00-00_files/i0040000.jpg a. x2 - y2 - 6x + 8y - 1 = 0 c. x2 - y2 - 4x + 3y + 1 = 0 b. x2 - y2 - 8x + 6y - 1 = 0 d. x2 - y2 - 3x + 4y + 1 = 0

B

Identify the graph of 649-12-04-00-00_files/i0160000.jpg for 649-12-04-00-00_files/i0160001.jpg and write and equation of the translated or rotated graph in general form. a. hyperbola; 649-12-04-00-00_files/i0160002.jpg c. hyperbola; 649-12-04-00-00_files/i0160003.jpg b. ellipse; 649-12-04-00-00_files/i0160004.jpg d. ellipse; 649-12-04-00-00_files/i0160005.jpg

B

Identify the graph of 649-12-04-00-00_files/i0180000.jpg for 649-12-04-00-00_files/i0180001.jpg and write and equation of the translated or rotated graph in general form. a. hyperbola; 649-12-04-00-00_files/i0180002.jpg c. hyperbola; 649-12-04-00-00_files/i0180003.jpg b. parabola; 649-12-04-00-00_files/i0180004.jpg d. parabola; 649-12-04-00-00_files/i0180005.jpg

B

Identify the graph of 649-12-04-00-00_files/i0210000.jpg for 649-12-04-00-00_files/i0210001.jpg and write and equation of the translated or rotated graph in general form.

B

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

B

Identify the ordered pair that represents the vector from 649-11-02-00-00_files/i0020000.jpg to 649-11-02-00-00_files/i0020001.jpg and the magnitude of 649-11-02-00-00_files/i0020002.jpg.

B

Set up a table of values and then graph the line from its parametric form. 649-11-06-00-00_files/i0080000.jpg

B

Solve the system by using a matrix equation. 649-02-06-00-00_files/i0120000.jpg

B

Solve the system by using a matrix equation. 649-02-06-00-00_files/i0140000.jpg

B

Solve the system of inequalities by graphing. 649-02-07-00-00_files/i0070000.jpg

B

Twelve of the last 16 winners of the school science fair have been seventh grade students. Mona placed 3 red marbles and 1 green marble in a bag to create a simulation to predict whether future science fair winners will be seventh graders. According to Mona's model, what is the probability that the next 4 winners will all be seventh grade students?

B

Use Demoivres Theorem to find 649-11-09-00-00_files/i0180000.jpg. a. 32 - 32i c. -32 + 32i b. -32i d. 32

B

Which graph matches the equation 649-12-02-00-00_files/i0080000.jpg

B

Which is the equation for a sphere with the center (2,-9,-1) and radius 649-12-06-00-00_files/i0130000.jpg?

B

Which is the equation for the graph of the limacon curve below? [-5,5] by [-5,5] (LOOKS MORE LIKE A CIRCLE)

B

Which is the equation of a parabola with vertex (0, 0), that opens to the left and has a focal width of 12? a. 649-12-01-00-00_files/i0180000.jpg c. 649-12-01-00-00_files/i0180001.jpg b. 649-12-01-00-00_files/i0180002.jpg d. 649-12-01-00-00_files/i0180003.jpg

B

Which is the graph of X^2/16 +Y^ 2/6 =1?

B

Which is the graph of r = 6 cos649-11-07-00-00_files/i0180000.jpg?

B

Which is the graph of the polar equation r = 3 sin2649-11-07-00-00_files/i0120000.jpg

B

Which is the graph of the polar equation r = 4 cos3649-11-07-00-00_files/i0130000.jpg

B

Which of the diagrams correctly displays 2004-04-02-06-00_files/i0260000.jpg, using the triangle method?

B

Which term best describes the number of solutions that will maximize the function below given the constraints listed? (Assume that 649-02-08-00-00_files/i0060000.jpgand 649-02-08-00-00_files/i0060001.jpg.) 649-02-08-00-00_files/i0060002.jpg 649-02-08-00-00_files/i0060003.jpg a. unbounded c. infeasible b. one optimal solution d. alternate optimal solutions

B

Write an equation in slope-intercept form of the line with the parametric equations 649-11-06-00-00_files/i0120000.jpg and 649-11-06-00-00_files/i0120001.jpg.

B

Write the ordered pair that represents 649-11-02-00-00_files/i0090000.jpg. Then find the magnitude of 649-11-02-00-00_files/i0090001.jpg. 649-11-02-00-00_files/i0090002.jpg

B

Sixteen of the 24 schools in Ryan's county are public schools. Ryan used this spinner to predict the probability that the winner of the county spelling bee in each of the next four years will attend a private school. mr024-1.jpg Which set of outcomes from Ryan's simulation implies that the winner will attend a private school at least three times in that span?

B-B-A-B AND A-B-B-B

A bag contains 5 red marbles, 3 green marbles, 2 purple marbles, 2 orange marbles, and 1 blue marble. mc023-1.jpg Which color marble is less likely to be picked than purple?

BLUE

A spinner has three equal sections labeled 1, 2, and 3. It is spun twice. Which expression can be used to determine P(2, then 1)?

C

An investor has $12,000 to invest into two different funds. Fund A, which is a high risk fund, yields an average return of 14%. Fund B, which is a low risk fund, yields an average return of 6%. To reduce the risk, the investor wants the amount in fund B to be at least twice the amount in fund A. How much should be invested in each fund to maximize the return? a. fund A - $6,000 fund B - $12,000 c. fund A - $4,000 fund B - $8,000 b. fund A - $10,000 fund B - $20,000 d. fund A - $6,000 fund B - $6,000

C

Christine's Butter Cookies sells large tins of butter cookies and small tins of butter cookies. The factory can prepare at most 200 tins of cookies a day. Each large tin of cookies requires 2 pounds of butter, and each small tin requires 1 pound of butter, with a maximum of 300 pounds of butter available each day. The profit from each day's cookie production can be estimated by the function 649-02-07-00-00_files/i0180000.jpg, where x represents the number of large tins sold and y the number of small tins sold. Find the maximum profit that can be expected in a day. a. $550 c. $1080 b. $3750 d. $975

C

Compute the distance between (7,-4,9) and (x,y,z).

C

Determine the eccentricity, the type of conic, and the directrix for r = 649-12-05-00-00_files/i0070000.jpg.

C

Devin's friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin's friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other? a. 16 blocks c. 11.4 blocks b. 12.7 blocks d. 13.1 blocks

C

Express the complex number 6 in complex trigonometric form. a. 6(cos 270649-11-09-00-00_files/i0050000.jpg + i sin 270649-11-09-00-00_files/i0050001.jpg) c. 6(cos 0649-11-09-00-00_files/i0050002.jpg + i sin 0649-11-09-00-00_files/i0050003.jpg) b. 6(cos 180649-11-09-00-00_files/i0050004.jpg + i sin 180649-11-09-00-00_files/i0050005.jpg) d. 6(cos 90649-11-09-00-00_files/i0050006.jpg + i sin 90649-11-09-00-00_files/i0050007.jpg)

C

Find a 649-11-03-00-00_files/i0070000.jpg b if a = 649-11-03-00-00_files/i0070001.jpg and b = 649-11-03-00-00_files/i0070002.jpg.

C

Find an equation equivalent to r = 1 + 2 sin649-11-07-00-00_files/i0150000.jpg in rectangular coordinates.

C

Find an ordered pair to represent 649-11-02-00-00_files/i0160000.jpg in the equation 649-11-02-00-00_files/i0160001.jpg if 649-11-02-00-00_files/i0160002.jpg and 649-11-02-00-00_files/i0160003.jpg.

C

Find an ordered triple to represent 649-11-04-00-00_files/i0220000.jpg in 649-11-04-00-00_files/i0220001.jpg if 649-11-04-00-00_files/i0220002.jpg, 649-11-04-00-00_files/i0220003.jpg, and 649-11-04-00-00_files/i0220004.jpg.

C

Find the fourth roots of 81(cos 320° + i sin 320° ). Write the answer in trigonometric form. a. 3(cos 160° + i sin 160° ); 3(cos 250° + i sin 250° ); 3(cos 340° + i sin 340° ); 3(cos 70° + i sin 70° ) c. 3(cos 80° + i sin 80° ); 3(cos 170° + i sin 170° ); 3(cos 260° + i sin 260° ); 3(cos 350° + i sin 350° ) b. 3(cos 80° + i sin 80° ); 3(cos 170° + i sin 170° ); 3(cos 340° + i sin 340° ); 3(cos 70° + i sin 70° ) d. 3(cos 320° + i sin 320° ); 3(cos 410° + i sin 410° ); 3(cos 500° + i sin 500° ); 3(cos 230° + i sin 230° )

C

Find the inner product for 649-11-05-00-00_files/i0080000.jpg and state whether the vectors are perpendicular.

C

Find the magnitude of 649-11-04-00-00_files/i0050000.jpg for 649-11-04-00-00_files/i0050001.jpg and 649-11-04-00-00_files/i0050002.jpg.

C

Find the magnitude of the vector with 649-11-02-00-00_files/i0200000.jpg and write the vector as the sum of unit vectors.

C

Find the value of 649-02-06-00-00_files/i0020000.jpg.

C

Find the value of 649-02-06-00-00_files/i0030000.jpg.

C

Find the values of e, a, b, and c for r = 649-12-05-00-00_files/i0180000.jpg.

C

For what values of 649-11-08-00-00_files/i0090000.jpg (0649-11-08-00-00_files/i0090001.jpg) do maximum r-values occur on the graph the polar equation r = 2 cos4649-11-08-00-00_files/i0090002.jpg? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.

C

Gina Chuez has considered starting her own custom greeting card business. With an initial start up cost of $1500, she figures it will cost $0.45 to produce each card. In order to remain competitive with the larger greeting card companies, Gina must sell her cards for no more than $1.70 each. To make a profit, her income must exceed her costs. How many cards must she sell before making a profit? a. at least 1187 cards c. at least 1200 cards b. at least 1230 cards d. at least 1425 cards

C

The Flat Rock auto assembly plant in Detroit, Michigan, produces three different makes of automobiles. In two years, the plant constructed a total of 390,000 cars. If 90,000 more cars were made in the first year than in the second year, how many cars were made in each year? a. first year: 90,000 second year: 180,000 c. first year: 240,000 second year: 150,000 b. first year: 300,000 second year: 90,000 d. first year: 180,000 second year: 90,000

C

The area of a parking lot is 649-02-08-00-00_files/i0020000.jpg square meters. A car requires 649-02-08-00-00_files/i0020001.jpg square meters and a bus requires 649-02-08-00-00_files/i0020002.jpg square meters of space. There can be at most 649-02-08-00-00_files/i0020003.jpg vehicles parked at one time. If the cost to park a car is $649-02-08-00-00_files/i0020004.jpg and a bus is $ 649-02-08-00-00_files/i0020005.jpg, how many buses should be in the lot to maximize income? a. 649-02-08-00-00_files/i0020006.jpg c. 649-02-08-00-00_files/i0020007.jpg b. 649-02-08-00-00_files/i0020008.jpg d. 649-02-08-00-00_files/i0020009.jpg

C

The high school band wants to sell two types of cookies, chocolate chip and peanut butter, as a fundraiser. A dozen chocolate chip cookies requires 2 cups of flour and 1 egg. A dozen peanut butter cookies uses 3 cups of flour and 4 eggs. The club has 90 cups of flour and 80 eggs on hand. The profit on the chocolate chip cookies is $1 per dozen and on the peanut butter is $1.50 per dozen. If they want to offer both types of cookies, how many of each cookie should the club make to maximize profits? a. infeasible solutions c. 24 dozen chocolate chip 14 dozen peanut butter b. 30 dozen chocolate chip 25 dozen peanut butter d. 20 dozen chocolate chip 18 dozen peanut butter

C

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Three-fourths as many teenagers as children attended. How many adults attended? a. 200 c. 220 b. 150 d. 316

C

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.

C

Use the dot product to find 649-11-03-00-00_files/i0200000.jpg when v = 649-11-03-00-00_files/i0200001.jpg. a. -1 c. 649-11-03-00-00_files/i0200002.jpg b. -3 d. 649-11-03-00-00_files/i0200003.jpg

C

Which is the equation of a parabola with Vertex (0, 0) and focus (0, 2)? a. 649-12-01-00-00_files/i0130000.jpg c. 649-12-01-00-00_files/i0130001.jpg b. 649-12-01-00-00_files/i0130002.jpg d. 649-12-01-00-00_files/i0130003.jpg

C

Which is the graph of the polar equation 649-12-05-00-00_files/i0020000.jpg?

C

Which term best describes the solution of the situation represented by the system of inequalities? (Assume that 649-02-08-00-00_files/i0040000.jpgand 649-02-08-00-00_files/i0040001.jpg.) 649-02-08-00-00_files/i0040002.jpg 649-02-08-00-00_files/i0040003.jpg a. unbounded c. one optimal solution b. infeasible d. alternate optimal solutions

C

Which type of conic section has an eccentricity greater than one? a. an ellipse c. a hyperbola b. a parabola d. a circle

C

Woodland Bicycles makes two models of off-road bicycles: the Explorer, which sells for $250, and the Grande Expedition, which sells for $350. Both models use the same frame, but the painting and assembly time required for the Explorer is 2 hours, while the time is 3 hours for the Grande Expedition. There are 375 frames and 450 hours of labor available for production. How many of each model should be produced to maximize revenue? a. 200 Explorers 50 Grande Expeditions c. 225 Explorers 0 Grande Expeditions b. 150 Explorers 10 Grande Expeditions d. 325 Explorers 50 Grande Expeditions

C

Write a vector equation of the line that passes through 649-11-06-00-00_files/i0020000.jpg and is parallel to 649-11-06-00-00_files/i0020001.jpg.

C

Write parametric equations of the line 649-11-06-00-00_files/i0190000.jpg.

C

Cameron flips two coins and then spins the spinner below. mc021-1.jpg What is the probability of having two different outcomes on the coins and spinning an odd number?

C 1/4

649-11-01-00-00_files/i0030000.jpg and 649-11-01-00-00_files/i0030001.jpg have opposite directions, and they both have a magnitude of 7. What must be true about 649-11-01-00-00_files/i0030002.jpg and 649-11-01-00-00_files/i0030003.jpg? a. They are equal and parallel. c. They are opposites, but not parallel. b. They are equal, but not parallel. d. They are opposites and parallel.

D

A six-sided number cube is labeled with the numbers 1-6, one number on each face. Each number is used exactly once. How many possible outcomes exist when the cube is rolled two times? 6 8 12 36

D

A six-sided number cube is rolled twice. Which expression can be used to find P(5, then3)?

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

Express the complex number 8(cos30649-11-09-00-00_files/i0070000.jpg + i sin30649-11-09-00-00_files/i0070001.jpg) in standard a + bi form. a. 649-11-09-00-00_files/i0070002.jpg c. 649-11-09-00-00_files/i0070003.jpg b. 649-11-09-00-00_files/i0070004.jpg d. 649-11-09-00-00_files/i0070005.jpg

D

Find an equation equivalent to r = 649-11-07-00-00_files/i0160000.jpg in rectangular coordinates.

D

Find an equation equivalent to x2 - y2 = 4 in polar coordinates. a. cos2 649-11-07-00-00_files/i0200000.jpg - sin2 649-11-07-00-00_files/i0200001.jpg = 4r c. r cos2649-11-07-00-00_files/i0200002.jpg = 4 b. cos2 649-11-07-00-00_files/i0200003.jpg - sin2 649-11-07-00-00_files/i0200004.jpg = 4 d. r2 cos2649-11-07-00-00_files/i0200005.jpg = 4

D

Find an ordered triple to represent 649-11-04-00-00_files/i0200000.jpg in 649-11-04-00-00_files/i0200001.jpg if 649-11-04-00-00_files/i0200002.jpg, 649-11-04-00-00_files/i0200003.jpg, and 649-11-04-00-00_files/i0200004.jpg.

D

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

D

Find the work done lifting a 290-pound weight 28 feet in the air. a. 4,582 foot-pounds c. No work is done b. 6,132 foot-pounds d. 8,120 foot-pounds

D

Given P(3,2,-7) and Q(4,3,-6), find the midpoint of the segment PQ.

D

Given that A = (4,3,-4), B = (2,8,-5) and C = (-5,5,-8), find the vector from A to the midpoint of BC.

D

Identify the graph of 649-12-04-00-00_files/i0140000.jpg for 649-12-04-00-00_files/i0140001.jpg and write an equation of the translated or rotated graph in general form. a. parabola; 649-12-04-00-00_files/i0140002.jpg c. parabola; 649-12-04-00-00_files/i0140003.jpg b. ellipse; 649-12-04-00-00_files/i0140004.jpg d. ellipse; 649-12-04-00-00_files/i0140005.jpg

D

If 649-02-04-00-00_files/i0100000.jpg and 649-02-04-00-00_files/i0100001.jpg find 649-02-04-00-00_files/i0100002.jpg

D

If 649-02-04-00-00_files/i0150000.jpg and 649-02-04-00-00_files/i0150001.jpg, find BA.

D

If 649-02-04-00-00_files/i0170000.jpg and 649-02-04-00-00_files/i0170001.jpg, find AB.

D

Solve by using a matrix. A collection of nickels, dimes and quarters totals $6.00. If there are 52 coins altogether and twice as many dimes as nickels, how many of each kind of coin are there? a. q = 5 d = 60 n = 30 c. q = 15 d = 28 n = 6 b. q = 35 d = 10 n = 5 d. q = 10 d = 28 n = 14

D

Solve the matrix equation. The inverse of the coefficient matrix is given. 649-02-06-00-00_files/i0180000.jpg, if the inverse is 649-02-06-00-00_files/i0180001.jpg.

D

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. 649-02-03-00-00_files/i0110000.jpg 649-02-03-00-00_files/i0110001.jpg 649-02-03-00-00_files/i0110002.jpg

D

Solve the system of inequalities by graphing. 649-02-07-00-00_files/i0020000.jpg

D

Solve the system of inequalities by graphing. 649-02-07-00-00_files/i0030000.jpg

D

Solve the system of inequalities by graphing. 649-02-07-00-00_files/i0050000.jpg

D

Solve the system of inequalities by graphing. 649-02-07-00-00_files/i0080000.jpg

D

The locations, given in polar coordinates, for two planes approaching an airport are (4 mi, 12º) and (3 mi, 73º). Find the distance between the two planes.

D

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. 649-02-03-00-00_files/i0070000.jpg

D

The wind was blowing quite strongly when Jenny was baby-sitting. She was outside with the children, and they were throwing their large plastic ball up into the air. The wind blew the ball so that it landed approximately 3 feet east and 4 feet north of where it was thrown into the air. If 649-02-05-00-00_files/i0170000.jpg represents the original location of the ball, write a matrix that represents the location of the translated ball.

D

Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the same coordinate grid. 649-02-05-00-00_files/i0080000.jpg with vertices 649-02-05-00-00_files/i0080001.jpg reflected over the y-axis.

D

Use matrices to determine the coordinates of the vertices of the rotated figure. Then graph the pre-image and the image of the same coordinate grid. 649-02-05-00-00_files/i0120000.jpgfor 649-02-05-00-00_files/i0120001.jpg with vertices 649-02-05-00-00_files/i0120002.jpg

D

Use scalar multiplication to determine the coordinates of the vertices of the dilated figure. Then graph the pre-image and the image of the same coordinate grid. Quadrilateral ABCD with vertex matrix 649-02-05-00-00_files/i0040000.jpg with scale factor 649-02-05-00-00_files/i0040001.jpg.

D

What is the product of z1 and z2 if z1 = 2(cos70° + i sin70°) and z2 = 4(cos200° + i sin200°)? a. 6(cos270° + i sin270°) c. 8(cos70° + i sin70°) b. 8(cos14,000° + i sin14,000°) d. 8(cos270° + i sin270°)

D

Which is the equation of a hyperbola centered at the origin with y-intercepts 649-12-03-00-00_files/i0070000.jpg, and asymptote 649-12-03-00-00_files/i0070001.jpg?

D

Which is the equation of a parabola with vertex (0, 0), that opens downward and has a focal width of 6? a. 649-12-01-00-00_files/i0190000.jpg c. 649-12-01-00-00_files/i0190001.jpg b. 649-12-01-00-00_files/i0190002.jpg d. 649-12-01-00-00_files/i0190003.jpg

D

Which is the graph of 649-12-03-00-00_files/i0140000.jpg?

D

Which is the graph of the rose curve r = 2 sin 3649-11-08-00-00_files/i0020000.jpg, 0649-11-08-00-00_files/i0020001.jpg?

D

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

It is a favorable game.

649-11-01-00-00_files/i0050000.jpg and 649-11-01-00-00_files/i0050001.jpghave the opposite directions. 649-11-01-00-00_files/i0050002.jpg has a magnitude of 7, and 649-11-01-00-00_files/i0050003.jpg has a magnitude of 6. What must be true about 649-11-01-00-00_files/i0050004.jpg and 649-11-01-00-00_files/i0050005.jpg?

LOOK UP ON GOOGLE

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

NOT A

Find a 649-11-03-00-00_files/i0080000.jpg b if a = 10i + 4j and b = 3i + 4j. a. 649-11-03-00-00_files/i0080001.jpg c. 46 b. -14 d. 649-11-03-00-00_files/i0080002.jpg

NOT A

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

NOT A

Find the inner product for 649-11-05-00-00_files/i0090000.jpg and state whether the vectors are perpendicular.

NOT A

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives. Which expression represents the probability that a student chooses an art elective and a history elective?

NOT A SO C

Given that r = 649-12-06-00-00_files/i0180000.jpg, v = 649-12-06-00-00_files/i0180001.jpg and w = 649-12-06-00-00_files/i0180002.jpg , evaluate (r +v) • w.

NOT B

Identify the graph of 649-12-04-00-00_files/i0170000.jpg for 649-12-04-00-00_files/i0170001.jpg and write an equation of the translated or rotated graph in general form. a. hyperbola; 649-12-04-00-00_files/i0170002.jpg c. hyperbola; 649-12-04-00-00_files/i0170003.jpg b. ellipse; 649-12-04-00-00_files/i0170004.jpg d. ellipse; 649-12-04-00-00_files/i0170005.jpg

NOT B

Find the center and the radius of the circle with the equation: 649-12-01-00-00_files/i0090000.jpg a. center: (4, 12) radius: 31 c. center: (2, 6) radius: 3 b. center: (2, 6) radius: 9 d. center: (-4, -12) radius: 31

NOT C

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

NOT C

Events A and B are independent. The probability of A occurring is . The probability of B occurring is . What is P(A and B)?

NOT D

If the equation of an ellipse is in standard form and the denominators are equal, then the ellipse is a circle. Please select the best answer from the choices provided

TRUE

The graph represents the system of inequalities shown below. Determine whether the statement that follows the graph is true or false. 649-02-08-00-00_files/i0180002.jpg

TRUE

The minimum and maximum distances from a focus to a point on an ellipse occur when that point on the ellipse is an endpoint of the major axis (a vertex). Please select the best answer from the choices provided

TRUE

Solve the system of equations. 649-02-02-00-00_files/i0170000.jpg a. 649-02-02-00-00_files/i0170001.jpg c. 649-02-02-00-00_files/i0170002.jpg b. 649-02-02-00-00_files/i0170003.jpg d. 649-02-02-00-00_files/i0170004.jpg

a

Solve the system of equations. 649-02-02-00-00_files/i0190000.jpg a. 649-02-02-00-00_files/i0190001.jpg c. 649-02-02-00-00_files/i0190002.jpg b. 649-02-02-00-00_files/i0190003.jpg d. 649-02-02-00-00_files/i0190004.jpg

a (x=2,y=-1,z=1)

A restaurant owner has found that 80% of her customers return to the restaurant within two weeks. She wants to create a tool that will simulate the habits of her customers and allow her to predict the probability that three of the next four customers to visit her restaurant will return within two weeks. Which spinner simulation uses an appropriate device and has the correct number of trials?

a spinner divided into 5 congruent sectors, spun 4 times

Solve the system of equations. 649-02-02-00-00_files/i0120000.jpg a. 649-02-02-00-00_files/i0120001.jpg c. 649-02-02-00-00_files/i0120002.jpg b. 649-02-02-00-00_files/i0120003.jpg d. 649-02-02-00-00_files/i0120004.jpg

b

State whether the system is consistent and independent, consistent and dependent or inconsistent. -35x + 40y = 55 7x = 8y - 11 a. consistent and independent c. inconsistent b. consistent and dependent

b

Solve the system of equations. 649-02-02-00-00_files/i0090000.jpg

b (x=-8, y= 10, z=-6)

Solve the system of equations. 649-02-02-00-00_files/i0080000.jpg a. 649-02-02-00-00_files/i0080001.jpg c. 649-02-02-00-00_files/i0080002.jpg b. 649-02-02-00-00_files/i0080003.jpg d. 649-02-02-00-00_files/i0080004.jpg

b(x=3,y=20,z=-14)

Solve the system of equations. 649-02-02-00-00_files/i0130000.jpg a. 649-02-02-00-00_files/i0130001.jpg c. 649-02-02-00-00_files/i0130002.jpg b. 649-02-02-00-00_files/i0130003.jpg d. 649-02-02-00-00_files/i0130004.jpg

c

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. 649-02-03-00-00_files/i0080000.jpg

c

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown. mc014-1.jpg Which best describes the complement of choosing a red marble?

choosing a blue, green, or yellow marble

Which is a pair of independent events?

choosing one card from a deck and then choosing one card from another deck

Solve the system of equations. 649-02-02-00-00_files/i0160000.jpg a. 649-02-02-00-00_files/i0160001.jpg c. 649-02-02-00-00_files/i0160002.jpg b. 649-02-02-00-00_files/i0160003.jpg d. 649-02-02-00-00_files/i0160004.jpg

d

Solve the system of equations algebraically. 649-02-01-00-00_files/i0090000.jpg a. no solution c. 649-02-01-00-00_files/i0090001.jpg b. many solutions d. 649-02-01-00-00_files/i0090002.jpg

d (1,0)

Solve the system of equations algebraically. 649-02-01-00-00_files/i0100000.jpg a. many solutions c. no solution b. 649-02-01-00-00_files/i0100001.jpg d. 649-02-01-00-00_files/i0100002.jpg

d (16,13)

Solve the system of equations. 649-02-02-00-00_files/i0050000.jpg a. 649-02-02-00-00_files/i0050001.jpg c. 649-02-02-00-00_files/i0050002.jpg b. 649-02-02-00-00_files/i0050003.jpg d. 649-02-02-00-00_files/i0050004.jpg

d(x=-1,y=2,z=1)

The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the negative reciprocal of the slope of the first.

false