Evaluate the spherical coordinate integral.

A. ?(15? - 16)
B. ?(15? - 16)
C. ?(15? - 8)
D. ?(15? - 8)


Answer: B

Mathematics

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Solve.Tickets to a ballet cost $13 if bought in advance. If bought on the date of the ballet, they cost $25. For the ballet to make a profit, the total money collected from ticket sales must be at least $380. Write an inequality to represent this situation, using x for the number of tickets bought in advance and y for the number of tickets bought on the date of the ballet. Do not solve the inequality.

A. 13x - 25y ? 380 B. 13x - 25y ? 380 C. 13x + 25y ? 380 D. 13x + 25y ? 380

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Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?

A. 11 P1 planes and 7 P2 planes
B.

9 P1 planes and 13 P2 planes

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Mathematics

Graph the parabola.y = 4x2 + 2x - 5

A.

B.

C.

D.

Mathematics