The local museum had 20,000 visitors in 1990. The number of visitors has decreased by 3% each year since 1990. Enter a function m(x) to represent the number of visitors to the museum x year after 1990.

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)

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a, b and c integers and a> 1

The longer leg of a 30-60-90 trangle is 18