Solve the problem.How many 5-card poker hands consisting of 3 aces and 2 kings are possible with an ordinary 52-card deck?

A. 24
B. 6
C. 12
D. 288


Answer: A

Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = xyi + xj; C is the triangle with vertices at (0, 0), (7, 0), and (0, 8)

A.
B. - 
C. 0
D.

Mathematics

Solve using Cramer's rule.-2x - 2y = -16 3x + 2y = 18

A. (-2, -6) B. (2, 6) C. (-6, 2) D. (6, 2)

Mathematics

Solve the problem.The velocity of water ft/s at the point of discharge is given by  where P is the pressure  of the water at the point of discharge. Estimate the rate of change of the velocity with respect to pressure if the pressure is  (Round to two decimals.)

A. 48.97 ft/s per lb/in.2 B. 0.07 ft/s per lb/in.2 C. 0.61 ft/s per lb/in.2 D. 1.22 ft/s per lb/in.2

Mathematics

State the dual problem. Use y1, y2,  y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0,  y3 ? 0, and y4Maximizez = 3x1 + 2x2subject to:x1 + x2 ? 23 2x1 + x2 ? 12 x1 ? 0, x2 ? 0

A.

Minimizew = 23y1 + 12y2
subject to:y1 + 2y2 ? 3
 y1 + y2 ? 2
B.
Minimizew = 23y1 + 12y2
subject to:y1 + 2y2 ? 3
 y1 + y2 ? 2
C.
Minimizew = 12y1 + 23y2
subject to:2y1+ y2 ? 3
 y1 + y2 ? 2
D.
Minimizew = 12y1 + 23y2
subject to:2y1 + y2 ? 3
 y1 + y2 ? 2

Mathematics