Simplifying Nonperfect Roots Answers

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^

Use the fact that 1.5 is the same as 3/2 to select all of the equations below that are equivalent toT = A1.5.

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

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

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.

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

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.