While traveling to and from a certain destination, you realized increasing your speed by 20 mph saved 2 hours on your return. The total distance of the roundtrip was 700 miles. Construct an equation that relates the speeds of the two legs of the trip. Use x to represent the speed on the second leg of the trip.

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

A(1,1) b(-3,0) c(-4,-1) d(3,-2) drag it to correct position

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min