Let R be the region enclosed by f ( x ) = x 2 + 4 , g ( x ) = ( x − 4 ) 2 and the axes x = 0 and y = 0 . Compute the volume V obtained by rotating R about the x - axis. Hint: Express V as a sum of two integrals.

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:

You are a clerk at convenience store. a customer owes 11.69 for a bag of potatoes chips. she gives you a five dollar bill. how much change should the customer receive?

Tom had a total of $220 and he spent $35 on a basketball ticket . what percent of his money did he have left?