Molly is making peanut butter cookies. To make a batch of cookies she needs 34 cups of peanut butter, 1.5 cups of sugar, and 1 egg. If Molly has 3 cups of peanut butter, 9 cups of sugar, and 5 eggs, how many batches of cookies can she make?

What are the coordinates of the midpoint of ab? ,1/2) /2,-1) ,-3/2) /2,-2)

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)

Prove that 16^4-2^13-4^5 is divisible by 11.