An equilateral triangle has a perimeter of 12x+ 18 units. Which expression can be used to show the length of one side of the triangle?
6(2x+3): Each side length is 2x+ 3 units.
3(4x+6). Each side length is 4x+6 units.
2(6x+9). Each side length is 6x+9 units.
x(12+ 18). Each side length is 12+ 18 units.

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)

Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing  (type an integer or a decimal.)

If a runner who runs at a constant speed of p miles per hour runs a mile in exactly p minutes what is the integer closest to the value p