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Question 446646: Could someone please help me with this? I do not understand it at all, thank you so much.
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= √D³ 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 33 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.
a.) Planet Eta takes ? (how many) Earth years to orbit its sun. (round to the nearest tenth as needed)
(b) Write this formula with rational exponents.
√(D³= ?)
(Simplify your answer. Use integers or fractions for any numbers in the expression)
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.
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This formula T= √D³ = D^(3/2) 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 33 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 = D^(3/2)
T = 33^(3/2) = 189.57 years
a.) Planet Eta takes 189.6 Earth years to orbit its sun. (round to the nearest tenth as needed)
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Cheers,
Stan H.
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(b) Write this formula with rational exponents.
√(D³= ?)
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