In some other universe K. Pack believes he has discovered a relationship between
ID: 3105599 • Letter: I
Question
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 it's sun. This formula is T=4v D5 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 29 miles farther from it's sun than Earth is from our sun. Estimate the # of Earth years required for Eta to orbit it's sun according to K. Packs formula.
B) Write this formula with rational exponents.
Explanation / Answer
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 = ?(D?), 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 29 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. --- T = 4th root of 29^9 = 29^(9/4) = 1951.621 years b) Write this formula with rational exponents. T = D^(9/4)
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