The doubling period of a bacterial population is 15 minutes. At time t = 100 minutes, the bacterial population was 50000. A.) What was the initial population at time = 0?

B.) Find the size of the bacterial population after 5 hours.

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)

Which ordered pair is a solution of the equation? 2x+3y=10

Solve the system of equations. x=-2y+1 and x+2y=9. show work