Let p represent a true statement, and let q and r represent false statements. Find the truth value of the given compound statement.(p ? ~q) ? r

A. False
B. True


Answer: A

Mathematics

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Simplify the expression. Assume that variables represent nonzero numbers.(-5a)3

A. -15a3 B. -15a C. -125a3 D. -125a

Mathematics

Add or subtract, if possible. Assume that all variables represent non-negative values and be sure to simplify your answer. - 

A. -25
B. -5
C. 9
D. -5

Mathematics

Let P = , X = , and T = , where all the elements are real numbers. Use these matrices to determine whether the statement is true or false for 2 × 2 matrices.PX is a 4 × 4 matrix.

A. True B. False

Mathematics

Rewrite in terms of two or more logarithms using the quotient and product rules for logarithms. Assume all variables represent positive real numbers.log3 

A. (log3 x)( log3 y) ÷ log3 3 B. log3 x + log3 y - log3 3 C. (log3 x)2 + (log3 y)2 - log3 3 D. log3 x + log3 y + log3 3

Mathematics