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2 years ago

Can anyone help me with this problem? It's a review.

Mathematics

1 answer:

kifflom [539]2 years ago

8 0

Answer:

The point (0,-2) is the solution to the problem. Substitue 0 into x, the answer is -2 which matches f(x), or y value.

Step-by-step explanation:

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Find the volume of a sphere with a circumference of 48 pi ft. Write your answer in terms of pi .

meriva

Answer:

18,432 pi cubic ft

Step-by-step explanation:

This problem can be solved using formula to find circumference and volume of sphere

for any sphere with radius r

circumference of sphere is 2* pi * r

volume of sphere is found by using formula 4/3*(pi*r^2)

Given circumference of sphere is 48 pi ft

therefore

2* pi * r = 48 pi ft

r = 48 pi ft/ 2* pi = 24 ft

substituting the value of r is formula of volume of sphere we have

volume of sphere is = 4/3*(pi*24^3) = 18,432 pi cubic ft

7 0

3 years ago

The price of a computer component is decreasing at a rate of 15% per year. State whether this decrease is linear or exponential

Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

$P(t) = P(0)(1-r)^{t}$

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15% per year.

This means that $r = 0.15$

Component costs $60 today

So P(0) = 60. Then

$P(t) = P(0)(1-r)^{t}$

$P(t) = 60(1-0.15)^{t}$

$P(t) = 60(0.85)^{t}$

What will it cost in three years?

This is P(3).

$P(t) = 60(0.85)^{t}$

$P(3) = 60(0.85)^{3} = 36.8475$

The component will cost $36.8475 in three years.

6 0

3 years ago

Which expression is the equivalent

Gwar [14]

I think you are correct

7 0

3 years ago

What is the multiplication inverse of 1/4 A. 1.8<br> B. 1/2<br> C. 4 <br>D 8/1

Arada [10]

The inverse of 1/4 is 4.

Choice C

5 0

3 years ago

The weight W of an aluminum flatboat varies directly with the length L of the boat. If a 6-foot boat weighs 102 pounds, then w

AnnZ [28]

Answer:

The 11 foot boat ways 187 pounds

Step-by-step explanation:

102 / 6 = 17

17 * 11 = 187

3 0

3 years ago