Cranberry juice is made with a 16:3:1 ratio of water:sugar:cranberries. How much water, in gallons, how much water is needed in order to make three gallons of cranberry juice? Express your answer as a

common fraction.

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)

Consider the following function. which of the following graphs corresponds to the given function? w. x. y. z. a. z b. y c. x d.

Paper plates cost $8 per package and plastic utensils cost $5 per package. your supplier delivers 15 packages for a total cost of $90.