Two landscapers, Pete and Moss, are digging dirt to make a hole for a swimming pool. Pete arrives and starts digging at 8:00 am and digs out 1000 pounds per hour. Moss sleeps in and starts digging at 9:00 but he can dig 1250 pounds of dirt per hour. After how many hours of digging will Moss have shoveled the same amount of dirt as Pete?

At which value in the domain does f(x) =0?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)

Which exponential function has an initial value of 2? f(x) = 2(3x) f(x) = 3(2x)