Question 436523: Someone PLEASE help me!!!
In some other universe, K. Pack believes he has discovered a relationship between a planet’s distance D from its sun and the time T it takes to orbit its sun. This formula ∜(D⁹), where T is in earth years and D=1 corresponds to the distance between earth and our sun, or 93,000,000 miles.
(a) Planet Eta is 28 times farther from its sun than earth is to our sun. Estimate the number of earth years required for Eta to orbit its sun according to K. Pack’s formula.
(b) Write this formula with rational exponents.
I can not get this Thank you for your help.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In some other universe, K. Pack believes he has discovered a relationship between a planet’s distance D from its sun and the time T it takes to orbit its sun. This formula T = ∜(D⁹), where T is in earth years and D=1 corresponds to the distance between earth and our sun, or 93,000,000 miles.
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(a) Planet Eta is 28 times farther from its sun than earth is to our sun. Estimate the number of earth years required for Eta to orbit its sun according to K. Pack’s formula.
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T = 4th root of 28^9 = 28^(9/4) = 1803.46 years
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(b) Write this formula with rational exponents.
T = D^(9/4)
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Cheers,
Stan H.
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