You want to ship a cylindrical container of maximum volume via the U. S. Postal Office. The post office limits the size of your container by insisting that the length of the cylinder, L, plus its girth (the circumference of the circular cross-section having radius R) be limited to a total of 84 inches. Find the length, L, radius, R, and the volume, V, of the cylinder having the maximum positive volume.

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:

I’m which figure is point g an orthocenter

Sum of the interior angles of a pentagon