Condense the expression to the logarithm of a single term.

a.

b.

c.

d.

e.


a.

Mathematics

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Solve the problem.A tank is designed by revolving the parabola y = 4x2, 0 ? x ? 2, about the y-axis. The tank, with dimensions in meters, is filled with water weighing   How much work will it take to empty the tank by pumping the water to the tank's top? Give your answer to the nearest J.

A. 15,763,255 J B. 1,313,605 J C. 5,254,418 J D. 164,201 J

Mathematics

State whether the following involves permutations or combinations. It is not necessary to solve the problem.How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters is allowed?

A. Permutation B. Combination

Mathematics

Solve the problem.Michael's bank contains only nickels, dimes, and quarters. There are 45 coins in all, valued at $4.10. The number of nickels is 7 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank?

A. 5 B. 32 C. 10 D. 8

Mathematics

Pivot once about the circled element in the simplex tableau, and read the solution from the result. 

A. x1 = 3, s1 = -15, z = -7; x2, x3, s1 = 0 B. x1 = 9, x2 = -15, z = -7; x2, x3, s2 = 0 C. x1 = 3, x2 = -15, z = 11; x3, s1, s2 = 0 D. x1 = 3, x2 = 21, z = -7; x3, s1, s2 = 0

Mathematics