Mathematics, 07.12.2021 15:10 NeverEndingCycle
The volume of air in a balloon is represented by the function V (r) = four-thirds pi r cubed, where r is the radius of the balloon, in inches. The radius of the balloon increases with time, in seconds, by the function r (t) = one-fourth t squared. Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the two true statements. When V is composed with r, the composite function is StartFraction 1 Over 48 EndFraction pi t Superscript 6. When V is composed with r, the composite function is StartFraction 4 Over 9 EndFraction pi squared t Superscript 6. V(r(6)) shows that the volume is 972π in.3 after 6 seconds. V(r(8)) shows that the volume is StartFraction 16384 Over 3 EndFraction pi inches cubed when the radius increases to 8 inches. The domain of V(t) is all real numbers.
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The volume of air in a balloon is represented by the function V (r) = four-thirds pi r cubed, where...
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