Solve the problem.When sitting atop a tree and looking down at his pal Joey, the angle of depression of Mack's line of sight is  If Joey is known to be standing 32 feet from the base of the tree, how tall is the tree (to the nearest foot)?

A. 44 ft
B. 40 ft
C. 42 ft
D. 46 ft


Answer: B

Mathematics

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Rewrite the series using summation notation. Use 1 as the lower limit of summation.-  +  -  + . . . - 

A.
B.
C.
D.

Mathematics

Write the number in scientific notation.520

A. 5.2 x 103 B. 5.2 x 102 C. 5.2 x 10-2 D. 5.2 x 10-3

Mathematics

Answer the question regarding the probability mass function described. A spinner marked off in five equal-sized regions, numbered 1, 2, 3, 4, and 5, is spun twice. Let the random variable X be the sum of the numbers of the regions where the pointer stops, and define a probability mass function (a) Find f(3).(b) Find ?.

A. (a) f(3) = P(X = 3) = 
(b) ? = 3
B. (a) f(3) = P(X = 3) = 
(b) ? = 3
C. (a) f(3) = P(X = 3) = 
(b) ? = 6
D. (a) f(3) = P(X = 3) = 
(b) ? = 6

Mathematics

For the given functions f and g, find (f ? g)(x).f(x) = 3x + 4, g(x) = 9x + 7

A. 27x2 + 57x + 28 B. 27x2 + 28 C. 27x2 + 43x + 28 D. 12x2 + 57x + 11

Mathematics