Solve the problem.A choreographer of a musical wants to hire enough dancers so that he can arrange them in groups of exactly 9, 12, and 18 with no dancers left out. What is the least number of dancers he can hire?
A. 216
B. 36
C. 72
D. 18
Answer: B
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Identify the conic that the polar equation represents. Also, give the position of the directrix.r =
A. ellipse, directrix parallel to the polar axis 1 below the pole B. ellipse, directrix perpendicular to the polar axis 1 left of the pole C. ellipse, directrix parallel to the polar axis 1 above the pole D. ellipse, directrix perpendicular to the polar axis 1 right of the pole
Perform the requested operation on the given function.f(x) = 2x2 - 7, g(x) = x + 5Find (f - g)(1).
A. -1 B. -11 C. -9 D. 4
Solve the equation in the complex number system.x3 = -64i
A. 4(cos 90° + i sin 90°), 4(cos 210° + i sin 210°), 4(cos 330° + i sin 330°) B. 4(cos 30° + i sin 30°), 4(cos 60° + i sin 60°), 4(cos 90° + i sin 90°) C. 4(cos 210° + i sin 210°), 4(cos 270° + i sin 270°), 4(cos 330° + i sin 330°) D. 4(cos90° + i sin 90°), 4(cos 180° + i sin180°), 4(cos 270° + i sin 270°)
Use the graph to determine the value of the function.f(0)
A. -2 B. 0 C. 5 D. 3