Before beginning voice lessons, Aubrey already knew how to sing 357 pieces, and she expects to learn 2 new pieces during each week of lessons. After 78 weeks of voice lessons, how many pieces will Aubrey be able to sing, in total? Write and solve an equation to find the answer. pieces

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

Consider the reaction 2x2y2+z2⇌2x2y2z which has a rate law of rate= k[x2y2][z2] select a possible mechanism for the reaction.

What is the ratio of the change in y-values to the change in x-values for this function? a) 1: 13 b) 2: 5 c) 5: 2 d) 13: 1