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krok68 [10]
3 years ago
13

PLEASE HELP ME.......

Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Put the first coordinate to the equation of a function.

f(x)=3^x\\\\\left(-2,\ \dfrac{1}{9}\right)\to f(-2)=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\qquad\text{On the graph}\\\\\left(-1,\ -\dfrac{1}{3}\right)\to f(-1)=3^{-1}=\dfrac{1}{3}\qquad\text{Not on the graph}\\\\(0,\ 3)\to f(0)=3^0=1\qquad\text{Not on the graph}\\\\(1,\ 3)\to f(1)=3^1=3\qquad\text{On the graph}\\\\(2,\ 6)\to f(2)=3^2=9\qquad\text{Not on the graph}\\\\(3,\ 27)\to f(3)=3^3=27\qquad\text{On the graph}

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Answer:

  1816.7 in³ ≈ 29,769.6 cm³

Step-by-step explanation:

The surface area of a sphere is given by the formula ...

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Using the above value of r, we find the volume to be ...

  V = (4/3)π(1/2)³(A/π)^(3/2) = 1/6√(A³/π) ≈ 1816.7 in³

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The answer is requested in cm³. The conversion factor is (2.54 cm/(1 in))³, so this volume is ...

  (1816.7 in³)·(2.54 cm/(1 in))³ = 29,769.6 cm³

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<em>Additional comment</em>

We suspect an error in the problem statement, as the given units are square inches and the requested volume is in cubic centimeters. Usually, there would be an explicit statement regarding the necessity for units conversion.

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