math 1111

find the next term of the sequence: 4, 8, 12, 16, 20,

24

(a+3)(a-2)(a+1)

a^3+2a^2-5a-6

Rewrite 3^3=27 as a log

log3(27)=3

Last year, Pinwheel industries introduced a new toy. It costs $7400 to develop the new toy and $35 to manufacture each toy. Fill in the blanks below as appropriate. Determine the total cost to produce n = 1850 toys

$72,150

13x+10 <= -3+8x

(-oo, -13/5]

Write in interval notation 9x^2-4>=0

(-oo, -2/3] U [2/3, oo)

Express the set W= {q | q <= -7 or q >= -5} using interval notation

(-oo, -7] U [-5, oo)

answer in interval notation 5x+6 < 11 OR -1x+3 <= -5

(-oo, 1) U [8, oo)

x^2-9x+20>=0

(-oo, 4] U [5, oo)

Factor -2x^2-6x+20

(a+6)(a+3)

Factor the given expression p^2+15p+56

(p+8)(p+7)

x+3/x^2-9x+2 * x-5/x-3

(x+3)(x-5)/x^3-12x^2+29x-6

solve 4^(7b+2)=5^(5b-10). round to 4 decimal places

-11.3871

((sqrt) 5 -12)((sqrt) 5+12)

-139

Factor the quadratic equation a^2+9a+18

-2(x-2)(x+5)

(4+1)-(7-2i)

-3+3i

evaluate f(x)=8x-9 f(-3)

-33

4 (sqrt) 10 - 14 (sqrt) 90

-38(sqrt)10

Subtract. (-10p^2+6px-3x^2)-(5p^2-6px)

-3x^2+12px-15p^2

Is the sequence arithmetic, geometric or neither? 0.125, -0.5, 2, -8, 32... Common ratio?

-4

4w^2=-13w+12

-4, 3/4

(3(sqrt)-6)(7(sqrt)-2)

-42(sqrt)3

find slope and y-intercept of f(x)=3x-5 Y-intercept?

-5

Simplify -35z^11+56z^9-70z^5/35z^9

-5z^6+8z^4-10/5z^4

Factor completely: 36z^11-6z^8

-6z^8(-6z^3+1)

evaluate f(x)=8x-9 f(0)

-9

Solve for x: 9/4log5(x)

0.000782468

(m^3n^2/-m^-2n^-6)^0

1

f(x)=2x-1 evaluate f(1)

1

Find how long it takes a $1,500.00 investment to earn $210.00 in interest if it is invited at 8% compounded annually. Round to 3 decimals

1.703

2m^2-m+4=3

1/4+ i(sqrt)7/4, 1/4- i(sqrt)7/4

x+3/x+1 divided by x^2+5x+6/x+2

1/x+1

A student in a Pre-Calculus class has test scores of 70, 73, 66, and 60. The final exam is worth 2 test grades. what grade is needed on the final exam to earn a B (average score of 80%)

105.5%

Rewrite log0.0001=-4 as exponential

10^-4=0.0001

simplify (sqrt)1331

11(sqrt)11

Last year, Pinwheel industries introduced a new toy. It costs $7400 to develop the new toy and $35 to manufacture each toy. Fill in the blanks below as appropriate. With $45900, how many toys can be produced?

1100 toys

A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above the ground t seconds after it is fired is given by h(t)=-16t^2+176t+672. What is the rockets maximum height?

1156

Simplify (2a^2b)^48a^4b^3

128a^12b^7

Ciara takes 750 mg of Tylenol. the amount, a, of Tylenol remaining in her body after n hours is given by the formula A=750(0.78)^n. how much of the Tylenol remains in her body after 7 hours? Round to nearest hundredth

131.74

A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above the ground t seconds after it is fired is given by h(t)=-16t^2+176t+672. How much time will pass between the rocket's launch and the moment it reaches the ground?

14 seconds

You have 400 grams of a radioactive substance that decays according to D(t)=400e^-0.0001403*t where t is in years. How long until 240 grams remain?

184.2413985

Evaluate the logarithm log8(64)

2

4-3i/1-2i

2+i

Find the solution of 2e^x-19=18 in terms of logarithms, or to 4 decimals

2.9178

(4+3i)(4-3i)

25

Factor 4z^5+14z^4+10z^3

2z^3(z+1)(2z+5)

find slope and y-intercept of f(x)=3x-5 Slope?

3

f(x)=5^x-1 calculate f(6)

3125

A chemist has 10% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 90 liters of 14% acid solution?

40=12 10=78

simplify (sqrt)5 * (sqrt)10

5(sqrt)2

A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above the ground t seconds after it is fired is given by h(t)=-16t^2+176t+672. After how many seconds will the rocket reach its maximum height?

5.5

We have a jar of coins, all pennies and dimes. All together, we have 142 coins, and the total value of all coins in the jar is $9.07. How many pennies are there in the jar?

57

Simplify (5a^2b^6)^2/5ab^6

5a^7b^6

Let U = {1, 2, 3, ..., 10}, A = {1, 3, 5, 7}, B = {1, 2, 3, 4}, and C = {3, 4, 6, 7, 9}. Let A^c ∩ B^c

6, 8, 9, 10

simplify (sqrt)147

7(sqrt)3

We have a jar of coins, all nickels and dimes. All together, we have 225 coins, and the total value of all the coins in the jar is $18.95. How many nickels are there in the jar?

71

Radioactive iodine is used to determine the health of the thyroid gland. The radioactive iodine decays according to the equation y=n(e^-0.0856t), where t is in days. Find the half-life of this substance. Round to nearest day

8 days

A certain electronics manufacturer found that the average cost C to produce x DVD/Blu-ray players can be found using the equation C=0.04x^2-7x+600. What is the minimum average cost per machine?

88

A student in a pre-calculus class has test scores of 70, 75, 78, and 60. The final exam is worth 4 test grades. What grade is needed on the final exam to earn a B?

89.25

evaluate f(x)=8x-9 f(a-3)

8a-33

solve for x: x=9^log9(10)+log9(9)

90

Find the next term of the sequence: 3, 15, 75, 375, 1875

9375

A certain electronics manufacturer found that the average cost C to produce x DVD/Blu-ray players can be found using the equation C=0.04x^2-7x+600. How many DVD/Blu-ray players should be built in order to achieve that minimum?

?

Simplify a^5b^-3/b^7

a^5/b^10

The nut hut sells cashews for $6.40 a pound and almonds for $4.60 per pound. How much of each should be used to make a 29 pound mixture that sells for $5.41 per pound?

almonds=16 cashews=13

Consider the following sequence 13, 65, 325, 1625, 8125... Write an explicit formula for the sequence

an=13(5)^n-1

Write a rule for the nth term of the geometric sequence that has the terms a1=4 a3=4

an=13(5)^n-1

Write a rule for the nth term of the geometric sequence if r=1/2 and a3=4

an=16(1/2)^n-1

Solve 5(3b-2)+4(-b+6)=7b+14

b=0

Last year, Pinwheel industries introduced a new toy. It costs $7400 to develop the new toy and $35 to manufacture each toy. Fill in the blanks below as appropriate. Give a linear equation in the form C=mn+b that gives the total costs, C, to produce n of these toys.

c=35n+7400

Is the sequence arithmetic, geometric or neither? 0.125, -0.5, 2, -8, 32...

geometric

k^6-25k^4=0

k=5 k=-5 k=0

Expand log(3b/7) as a sum/difference of logs without exponents

log3+logb-log7

write log4(5)-log4(8) as a single log

log4(5/8)

Write the following as a single log. Assume all variables are positive. log5(6)+3log5(y)

log5(6y^3)

Use the like bases property to solve the equation 5^(n-10)=5^(7n+5)

n=-2.5

Find the domain and range of the relation below, and determine if its a function X: -8, 16, -1, 3, -8, 11 Y: 14, 1, 7, 11, -6, 24 Function?

no

The hypotenuse of right triangle is 146 centimeters long. The difference between the other two sides is 14 centimeters. Find the missing sides

shorter leg= 96 longer leg= 110

Solve -5w=30

w=-6

Find the domain of y=log3(3-6x)

x<1/2

Find all zeros of x^4-6x^2-7=0

x=(sqrt)7 x=-(sqrt)7 x=i x=-i

1/3(x)+4/5(x)-2/3(x)=-14/15

x=-2

Use the like bases property to solve the equation (1/3)^(x+10)=3^(5x+8)

x=-3

x+1/x -1/6 = 3/x

x=12/5

solve system of linear equations 1/7x+1/5y=1 1/3x-1/3y=1

x=14/3 y=5/3

Solve the linear equations 1/2x+1/4y=1 1/6x-1/3y=1

x=14/5 y=-8/5

7+ (sqrt) x-5= 11

x=21

Solve x/7=5

x=35

f(x)=2x-1 solve f(x)=7

x=4

(x^2/-16)-(15/4)=-x

x=6 x=10

(x-6)(x^2+5x+4)

x^3-x^2-26x-24

2/y+8 - 3/y-10

y-44/(y+8)(y-10)

A student in a Pre-Calculus class has test scores of 70, 73, 66, and 60. The final exam is worth 2 test grades. Write a linear equation that models this problem, where x is the grade on the final exam and y is the student's grade in the course.

y= 60+66+70+73+x+x/6

Consider the line with the following: y=-2/5x-13 Give the equation of a line that passes through (3, -4)

y=-2/5x-14/5

Consider the line with the following: y=-2/5x-13 Give the equation of the line perpendicular to Line 1 which passes through (3, -4):

y=5/2x-23/2

A student in a pre-calculus class has test scores of 70, 75, 78, and 60. The final exam is worth 4 test grades. Write a linear equation that models this problem, where x is the grade on the final exam and y is the student's grade in the course.

y=70+75+78+60+x+x+x+x/8

Simplify z^19*z^4

z^23

Find the domain and range of the relation below, and determine if its a function X: -8, 16, -1, 3, -8, 11 Y: 14, 1, 7, 11, -6, 24 Range?

{-6, 1, 7, 11, 14, 24}

Find the domain and range of the relation below, and determine if its a function X: -8, 16, -1, 3, -8, 11 Y: 14, 1, 7, 11, -6, 24 Domain?

{-8, -1, 3, 11, 16}

Suppose A and B are sets, defined as follows. Find the intersection and union of A and B. Enter the elements of the sets in increasing order, separated by commas. A = {3, 4, 6, 8, 10} B = {2, 6, 8, 9, 10}

{6, 8, 10} {2, 3, 4, 6, 8, 9, 10}