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
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Simplify the expression. Assume that variables represent nonzero numbers.(-5a)3
A. -15a3 B. -15a C. -125a3 D. -125a
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
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
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