Annie, Becca, Carlos, and Dante are exchanging graduation presents. Everyone brings one present and leaves with a different one. If Dante leaves early with Becca's gift, how many possible ways are there to distribute the rest of the gifts?

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)

How long does it take natsumi to clean up after she is done? table: .area time30. 245. 2.7560. 3.5

X/y + 4y/x divided by x/y - 2y/x explain as in depth as you can how you simplfied the fractions. i don't know where to start on this : /