Refer to the weighted voting system
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The number of losing coalitions is
A. 1.
B. 4.
C. 14.
D. 11.
E. none of these
Answer: D
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The function f is one-to-one. Find its inverse.f(x) = 5x2 - 7, x ? 0
A. f-1(x) =
B. f-1(x) =
C. f-1(x) =
D. f-1(x) = -
Give the domain and range of the function.f(x) = x2 + 2
A. Domain: all real numbers; Range: [2, ?) B. Domain: [0, ?); Range: [0, ?) C. Domain: all real numbers; Range: [5, ?) D. Domain: [2, ?); Range: all real numbers
Solve the problem. Express your answer in scientific notation, and round to one decimal place. If the distance from the earth to the sun were 92,900,000 miles, how long would it take a rocket, traveling at 3.8 × 103 miles per hour, to reach the sun? Round to three decimal places.
A. 2.4 × 103 hours B. 2.4 hours C. 2.4 × 104 hours D. 2.4 × 102 hours
The displacement d (in meters) of an object at time t (in seconds) is given. Describe the motion of the object. What is the maximum displacement from its resting position, the time required for one oscillation, and the frequency?d = 2 cos (5t)
A. simple harmonic; 2 m; sec;
? oscillations/sec
B. simple harmonic; 2 m; ? sec;
oscillations/sec
C. simple harmonic; -2 m; ? sec;
oscillations/sec
D. simple harmonic; 2 m; 5 ? sec; oscillations/sec