(18x^5+6x^4-12x^3)÷6x^2

Answers

Answer 1

Answer: $(3x^3 + x^2 - 2x)$
when dividing exponents, subtract the exponents.
ex. $x = x^6 / x^2 6-2 = 4 x = x^4$

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The monthly payment for a car lease is $300 for 24 months. The down payment is $1,000. The residual value is $9,000. What is the total cost of the lease? A. 17,200. B. 40,700. C. 8,200

Which values represent the first two terms of the sequence: a1=2 and an = -2(an-1)^2?2, -8
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Answers

Hello,

a(1)=2

a(2)=-2*(2)²=-2*4=-8

Answer A

7) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 36^1/2 = ____

Answers

Answer:

Step-by-step explanation:

Given: $36^(1/2)$

Here we can write 36 = 6 * 6 = $6^(2)$

[Using the product rule: $a^(m) *a^(n) = a^(m+n)$

$36^(1/2) = (6^(2) )$ ^1/2

Now we have to use power rule: $(a^(m) )^n = a^(mn)$

Applying the above rule, we get

= $6^((2*1/2))$

= $6^(2/2)$

= 6

Therefore, the answer is 6.

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?A. A cube with a volume of 3 cubic feet has side lengths of 27 feet.
B. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
C. 3 sides of the cube have a total length of 27 feet.
D. 3 of these cubes will have a total volume of 27 cubic feet.

Answers

we know that

The volume of a cube is equal to

$V(s)=s^(3)$

where

s is the length side of the cube

In this problem we have

$s= 3\ ft$

The volume is equal to

$V(3)=3^(3)=27\ ft^(3)$

therefore

the answer is the option B

A cube with side lengths of 3 feet has a volume of 27 cubic feet

I think the correct answer from the choices listed above is option B. The best interpretation of the function given as v(3) = 27 would be a cube with side lengths of 3 feet has a volume of 27 cubic feet. Hope this answers the question. Have a nice day.

Solve i=Prt for t, if i=105, P=700, and r=0.05

Answers

plug i=105, P=700, r=0.05 in the equation i=Prt
105 = 700*0.05*t
105 = 35*t
divide both sides by 35
105/35 = 35*t/35
3 = t
t = 3

A gallon of paint costs $32.50 and its label says it covers about 350 square feet. What is the cost of the paint per square foot?

Answers

It costs about 0.09 per square foot

First step would be to put this into perspective of an equation,$32.50...

Five years ago, Charlie was twice older than Priya. What are their ages now if in 3 years the sum of their ages will be 76?I need both ages thx

Answers

present age of charlie is 45 years

present age of priya is 25 years

Step-by-step explanation:

Let start from five years ago

Let at that age of Priya was x years

given that

Charlie was twice older than Priya

age of Charlie = 2x

_____________________________________________

present age of charlie = age 5 years ago + 5 years = 2x + 5

present age of priya = age of priya 5 years ago + 5 years x + 5 = x + 5

_________________________________________________

age of charlie 3 years from now = present age of charlie + 3 years

age of charlie 3 years from now =2x + 5 + 3 = 2x + 8

age of priya 3 years from now = present age of priya + 3 years

age of priya 3 years from now =x + 5 + 3 = x + 8

Given that

in 3 years the sum of their ages will be 76

thus

sum of their ages in 3 years from now = x + 8 + 2x + 8 = 76

=> 3x + 16 = 76

=> 3x = 76-16 = 60

=> x = 60/3 = 20

Thus,

present age of charlie = 2x + 5 = 2*20 + 5 = 45 years

present age of priya = x + 5 = 20 + 5 = 25 years

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PLEASE HELP!!! 20 POINTS! FAKE RESPONSES REPORTED