A computer password is made up of four characters. Each character can be a capital letter (A through Z), a lowercase letter (a through z) or a digit (0 through 9).How many different such computer passwords are there?

A. 462
B. 2 × 264 + 104
C. 62 × 4
D. 624
E. none of these


Answer: D

Mathematics

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Find the first four terms of the binomial series for the given function.(1 - 8x)1/2

A. 1 - 4x - 8x2 - 16x3 B. 1 - 4x + 8x2 - 32x3 C. 1 - 4x - 8x2 - 32x3 D. 1 + 4x + 8x2 - 16x3

Mathematics

Solve the problem.The "equilibrium constant" for a chemical reaction is often used to calculate the amounts of chemical substances that are present in a system. For a particular reaction, the equilibrium constant K is given by the formula  where A, B, and C are the amounts (in arbitrary units) of chemicals a, b, and c. Calculate the equilibrium constant if A = 3, B = 4, and C = 2. Round your answer to three decimal places when necessary.

A. 18 B. 4.5 C. 9 D. 288

Mathematics

Graph. +  = 1

A.

B.

C.

D.

Mathematics

Find the slope of the line containing the two points.(5, -3) and (6, -5)

A. - 2
B.
C.
D. 2

Mathematics