Rational Exponents Answers

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Mercury and Venus are ✔ closer tofarther from the sun than Earth is.

So, their orbital periods are longer✔ shorterthe same as than Earth's orbit.

The further a planet is from the sun, the ✔ longershorterless predictable its orbit is.

A power regression equation for this data is: T = A^

The equation T = A3/2 is great if you know A and want to find T.Now, identify the correct inverse equation, which can be used to find A when you are given T.

You used a telescope and other mathematics to discover that Jupiter is 5.20 au from the sun. Use the equation to find its orbital period. Round to the nearest tenth of a year.Jupiter’s Orbit: years

Suppose that your data shows that Saturn orbits every 29.5 years. To the nearest hundredth of an au, how far is Saturn from the Sun?Saturn’s Distance from the Sun: au

Convert the equation you found, T = A3/2, into a form without any rational exponents.

Translate the answer, T2 = A3, into words: The ✔ squaresquare rootcube of the orbital period, T, of a

planet is equal to the squaresquare root✔ cube of the average distance, A, of the planet from the Sun.