Use the properties of logarithms to evaluate the expression.eln x41

A. x
B. ln x41
C. ex41
D. x41


Answer: D

Mathematics

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Solve the problem.Find the outward flux of a constant vector field F = C across any closed surface to which the Divergence Theorem applies.

A. 0
B. 1
C.
D. Not enough information to determine

Mathematics

Solve the problem. Round your answer, if appropriate.Boyle's law states that if the temperature of a gas remains constant, then PV = c, where , and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 15 in. 3/sec, at what rate is P increasing when P = 40 lb/in.2 and V = 50 in.3? (Do not round your answer.)

A.  lb/in.2 per sec
B.  lb/in.2 per sec
C.  lb/in.2 per sec
D. 12 lb/in.2 per sec

Mathematics

Refer to the weighted voting system  and the Shapley-Shubik definition of power. (The three players are P1, P2, and P3.)Which player in the sequential coalition  is pivotal?

A. P2 B. P1 C. P3 D. All three players E. none of these

Mathematics

A small country consists of four states. The population of State A is 44,800, the population of State B is 52,200, the population of State C is 49,200, and the population of State D is 53,800. The total number of seats in the legislature is 100.Using a divisor of D = 1950, the modified quotas (to two decimal places) are

A. State A: 22.40; State B: 26.10; State C: 24.60; State D: 26.90. B. State A: 22.58; State B: 26.67; State C: 24.93; State D: 27.28. C. State A: 22.97; State B: 26.77; State C: 25.23; State D: 27.59. D. State A: 22.74; State B: 26.86; State C: 25.12; State D: 27.43. E. none of these

Mathematics