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simplify the expression (x)^2(2xy^3)^5

a. 10x^3y^8
b. 32x^7^15
c. 32x^7y^8
d. 2x^3y^15

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)