The gravitational force (in Newtons), exerted on an object by the earth varies inversely with the square of the object's distance from the center of the Earth. The radius of the earth may be estimated to be 3959 miles and an astronaut with a mass of 210 pounds weighs approximately 934.127N on the Earth's surface. Calculate the approximate weight of the astronaut (in Newtons) when he is 12 miles above the earth's surface.

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

The measure of one angle of an octagon is two times smaller that of the other seven angles. what is the measure of each angle?

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5