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3 years ago

What is the function equation for the input/output table?

Mathematics

1 answer:

klio [65]3 years ago

8 0

Answer:

Step-by-step explanation

Your problem statement tells you

f(x) passes through point (3, negative 1)

g(x) passes through point (3, negative 1)

This tells you the input value that produces the same output value for the two functions is 3, and that output value is -1.

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If the volume of the crystal ball is about 113.14 cm3, the radius of the ball is approximately

stellarik [79]

Answer:

r ≅ 3.00

Step-by-step explanation:

First we need to get the formula for finding the volume of sphere. The formula is:

$V=\frac{4}{3}\pi r^{3}$

Now to find for the radius, we need to input the value that we know into the formula.

$113.14=\frac{4}{3}\pi r^{3}$

Now we multiply both sides by 3/4.

$\frac{3}{4}x113.14=\frac{4}{3}\pi r^{3}$

$84.86=\pi r^{3}$

Now divide both sides by π.

$\frac{84.86}{\pi}=\frac{\pi r^{3}}{\pi}$

$27.01=r^{3}$

To find r, we finally get the cube root of both sides.

$\sqrt[3]{r^{3} }= \sqrt[3]{27.01}$

r ≅ 3.00

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