What is the simplified form of 72x^16/50x^36? assume x ≠ 0.

a: 6/5x^10

b: 6/5x^2

c: 6/5 x^10

d: 6/5 x^2

(pretend it's in fraction form, also for the last two the x^10, and x^2, goes in between the 6 and 5)

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)