Abiologist studying ants started on day 1 with a population of 1,500 ants. on day 2, there were 3,000 ants, and on day 3, there were 6,000 ants. the increase in an ant population can be represented using a geometric sequence. what is the ant population on day 5?

Point a is located at (0, 4), and point c is located at (−3, 5). find the x value for the point b that is located one fourth the distance from point a to point c. −0.25 −0.5 −0.75 −1

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)

Solve the triangle. a = 21°, c = 105°, c = 5