Use the definition or identities to find the exact value of the indicated trigonometric function of the acute angle ?.tan ? = 3 Find cos ?.

A.
B.
C.
D.


Answer: C

Mathematics

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Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 3(1 - ex), x > 0; relative to f(x) = ex

A. Stretched vert; reflected across x-axis;
moved up 3 unit(s)

B. Stretched horiz; reflected across y-axis;
moved down 1 unit(s)

C. Stretched horiz; reflected across x-axis;
moved down 3 unit(s)

D. Stretched vert; reflected across y-axis;
moved up 1 unit(s)

Mathematics

Express as a single logarithm.4 log3 2 +  log3 (x - 4) -  log3 x

A. log3 
B. log3 
C. log3 
D. log3 

Mathematics

Krinkles potato chips is having a "Lucky Seven Sweepstakes." The one grand prize is $70,000; 7 second prizes each pay $7,000; 77 third prizes each pay $700; and 777 fourth prizes each pay $70. What is the expectation of this contest, if there are 6 million entries? Please round your answer to the nearest cent. ? $__________

Fill in the blank(s) with the appropriate word(s).

Mathematics

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.

A. y = 0.5x - 2 B. y = x - 8 C. y = 0.17x + 2.11 D. y = 0.11x + 2.49

Mathematics