Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.

A.  
B. 616
C. 62
D.


Answer: A

Mathematics

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Construct a truth table for the statement.(r ? q) ? (~r ? ~q)

A.

TFF
F T F
B.
TTT
T F T
F T T
F F F
C.
TTF
T F F
F T T
F F T
D.
TTT
T F F
F T F
F F T

Mathematics

Provide an appropriate response.Let P be a 3 × 3 matrix that has a multiplicative inverse. Which of the following statements are false? (Let 0 represent the 3 × 3 zero matrix.)(i) 0 ? P = 0(ii) PP-1 = 0(iii) P-1P = I3(iv) PP-1 = P

A. (ii) B. (i), (iii) C. (iv) D. (ii), (iv)

Mathematics

Solve the system analytically.  x - y + 4z = -33x + z = 0  x + 5y + z = 15

A. {(0, 3, 0)} B. ? C. {(0, 3, -3)} D. {(0, 0, 3)}

Mathematics

Use the graph to complete the identity. = ? 

A. cos x B. sec x C. csc x D. sin x

Mathematics