Use the rules for exponents to rewrite the expression and then evaluate the new expression. 42 ? 45

A. 262,144
B. 16,777,216
C. 16,384
D. 1,048,576


Answer: C

Mathematics

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Use the graph of a power function and transformations to sketch the graph of the polynomial function.f(x) = (x - 5)4

A.

B.

C.

D.

Mathematics

Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = 

A. f(x) =  -  + 2
B. f(x) =  -  + 
C. f(x) =  -  + 2
D. f(x) =  -  + 2

Mathematics

Multiply. Write the answer in descending order and combine like terms.(6p - 1)(36p2 + 6p + 1)

A. 216p3 + 1 B. 216p3 - 1 C. 36p3 - 1 D. 216p3 + 42p2 - 1

Mathematics

Solve the problem.In 1990 the number of factory pollution incidents reported in Country X was 7500. This number had decreased roughly at a rate of 440 per year since 1982. (i) Find an equation of a line  that describes this data, where y represents the number of pollution incidents during the year x. (Answers may vary.) (ii) Estimate the year when there were approximately 8250 incidents.

A. y = -440(x - 1988) + 7500; 1986 B. y = -440(x - 1982) + 7500; 1980 C. y = -440(x - 1990) + 7500; 1988 D. y = -7500(x - 1990) + 440; 1983

Mathematics