A chef planning for a large banquet thanks two out of every five dinner guests will order his soup appetizer he expects 800 guests at the banquet use equivalent ratios to estimate how many cups of soup he should prepare

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)

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x

Look at triangle wxy what is the length (in centimeters) of the side wy of the triangle?