Use the power rule for exponents to simplify the expression. Write the answer in exponential form.(-24)3

A. (-2)12
B. 124
C. -64
D. (-2)7


Answer: A

Mathematics

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Find the product, if possible. 

A.

B.

C.

D. Not defined

Mathematics

Find the unit tangent vector T and the principal unit normal vector N. r(t) = (cosh t)i + (sinh t)j + tk 

A. T = (tanh t)i  + j  + (sech t)k; N = (sech t)i  - (tanh t)k 
B. T = -  (tanh t sech t)i  + j  + (sech t)k; N = (-sech t)i  - (tanh t)k 
C. T = (tanh t sech t)i  + j  + (sech t)k; N = (sech2 t)i  - (sinh t)k 
D. T = - (tanh t)i  + j  + (sech t)k; N = (-sech t)i  - (sinh t)k 

Mathematics

Find the present value for the given future amount. Round to the nearest cent.A = $38,000, 12 yearsr = 5% compounded semiannually

A. $21,159.82 B. $21,009.26 C. $16,990.74 D. $68,731.59

Mathematics

Solve the problem.If a fair coin is tossed twice, the probability that both tosses will come up heads is

A. .
B. .
C. .
D. .
E. none of these

Mathematics