Write (2 × 5)³ as a power with a single base.

What is the y-intercept of the line given by the equation

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)

Triangles abd and ace are similar right triangles. witch ratio best explains why the slope of ab is the same as the slope of ac?