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4 years ago

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A spherical balloon with radius r inches has volume defined by the function below. find a function that represents the amount of

air required to inflate the balloon from a radius of r inches to a radius of r + 3 inches. (give the answer in terms of π and r.) v(r) = 4/3 pi r^3

1 answer:

Rashid [163]4 years ago

8 0

The function would be v (r+3)=4/3 π(r+3)^3.

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3 years ago

The table below represents the function F. 3 7 F(x) 4 15 5 31 7 127 8 255 The equation that represents this function is?

timurjin [86]

The table is an exponential function, and the equation that represents this function is $f(x) =2^x -1$

<h3>The equation of the table</h3>

The table is given as:

x F(x)

4 15

5 31

7 127

8 255

Rewrite the table as:

x F(x)

4 16 - 1

5 32 - 1

7 128 - 1

8 256 - 1

Express as a base of 2

x F(x)

4 2⁴ - 1

5 2⁵- 1

7 2⁷ - 1

8 2⁸ - 1

Notice that the function is 1 subtracted from 2 raised to the power of the input.

This is represented as:

$f(x) =2^x -1$

Hence, the equation of the table is $f(x) =2^x -1$

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brainly.com/question/9608962

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2 years ago

Mora was preparing for 3 achievement assessments. She spent 3.6 hours of studying over the weekend. If she spent an equal amount

Gre4nikov [31]

1.3 hours
3.6/3 =1.3

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3 years ago

Read 2 more answers

Solve the exponential equation for x. 625 = 5 (7x-3)

posledela

Answer:

<h2>A. x = 1</h2>

Step-by-step explanation:

$5^{7x-3}=625\\\\5^{7x-3}=5^4\iff7x-3=4\qquad\text{add 3 to both sides}\\\\7x=7\qquad\text{divide both sides by 7}\\\\x=1$

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Sladkaya [172]

Answer is provided in the image attached.

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3 years ago