Kepler’s third law can be used to derive the relation between the orbital period, p (measured in days), and the semimajor axis, a (measured in au), of an orbiting body. the relation is given by the equation p2 = ka3, where k is a constant value for all bodies orbiting that star. the semimajor axis of mars is 1.52 au, and its orbital period is about 687 days. what is the value of the constant k?
a.
4.52 × 102
b.
7.44 × 10-6
c.
1.34 × 105
d.
2.21 × 10-3

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)

Helll ! 1,400 tons of wheat of two different varieties was delivered to the silo. when processing one variety, there was 2% of waste and 3% during the processing of the second variety of wheat. after the processing, the amount of remaining wheat was 1,364 tons. how many tons of each variety of wheat was delivered to the silo?

Acyclist bike x distance at 10 miles per hour .and returns over the same path at 8 miles per hour. what is the cyclist average rate for the round trip in miles per hour ?