Refer to the weighted voting system  and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of winning coalitions having exactly two players is

A. 1
B. 5
C. 0
D. 10
E. none of these


Answer: C

Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (x - y)i + (x + y)j; C is the triangle with vertices at (0, 0), (5, 0), and (0, 7)

A. 35 B. 0 C. 70 D. 245

Mathematics

Provide an appropriate response. Solve the following quadratic by factoring, rounding to the nearest hundredth, if necessary: 3x2 + 2 = -6x

A. x = 0.42, 1.58 B. x = 0.29, -2.29 C. x = -0.42, -1.58 D. x = 1.11, -1.79

Mathematics

Graph and write as a single interval, if possible.

[–3, 6) ? [5, 8)

Mathematics

Determine all values of x, (if any), at which the graph of the function has a horizontal tangent. ? ?

A.  and
B.
C.  and
D.
E. The graph has no horizontal tangents.

Mathematics