Find n for the given value of an in the arithmetic sequence.an = -366; 810, 789, 768, . . .
A. n = 53
B. n = 54
C. n = 57
D. n = 56
Answer: C
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Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)Which players have veto power?
A. P1 only B. P1 and P2 only C. None of the players D. All of the players E. none of these
Provide an appropriate response.The mail carrier takes away 3 bills for $268 each. Are you richer or poorer? by how much?
A. Richer by $2010; (-3) ? (-268) = 2010 B. Poorer by $2010; 3 ? (-268) = -2010 C. Poorer by $804; 3 ? (-268) = -804 D. Richer by $804; (-3) ? (-268) = 804
Solve the problem.Dave, Doug, and Cindy want to divide a cake fairly using the lone chooser method. Cindy gets to be the chooser and Dave and Doug are the dividers, with Dave having to make the first division of the cake into two pieces. Suppose that x% represents the value of Dave's share (to Dave), y% represents the value of Doug's share (to Doug), and z% represents the value of Cindy's share (to Cindy). Assuming each player plays the game correctly, which of the following statements is true?
A. x% must be %; y must be bigger than x; z must be bigger than or equal to y.
B. y must be bigger than or equal to x; z must be bigger than or equal to y.
C. x% must be %; y% must be
%; z% must be more than
%.
D. x% + y% + z% = 100%
E. none of these
Determine which law applies. Then solve the triangle, if possible. Round angles to the nearest tenth when necessary, and round side lengths to the nearest hundredth when necessary.a = 6.1b = 14c = 17.6
A. Law of sines; A = 16°, B = 45.2°, C = 118.8° B. Law of cosines; no solution C. Law of cosines; A = 18°, B = 45.2°, C = 116.8° D. Law of cosines; A = 20°, B = 43.2°, C = 116.8°