Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series. Sum from n=1 to infinity of (((-1)^(n+1)((0.1)^n))/(n))A.) 2.00 x 10^-6B.) 1.67 x 10^-7C.) 2.50 x 10^-5D.) 1.00 x 10^-5

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

If the value of cos330°is√3/2 then find cos 165°.

Joe has a rectangular chicken coop. the length of the coop is 4 feet less than twice the width. the area of the chicken coop is 510 square feet. what is the length of the chicken coup?