El generico public high school got a new flagpole. but they completely forgot to buy a cord and no one knows how tall the flagpole is! to find out, they decided to use similar figures! as the sun was setting, bob the janitor set up a 5-foot stick next to the flagpole and compared shadows. the 5-foot stick cast an 8-foot shadow. the shadow of the flagpole was 32-feet long. use rules of similar polygons to figure out how tall the flagpole is!

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

If the simple annual interest rate on a loan is 6, what is the interest rate in percentage per month?

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =