There are 35 water balloons in a bucket. if they are split equally among 5 children, how many water balloons will each child get?

Ihave trouble finding the nth term of a linear sequence

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol

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)