Determine the scalar c so that the vectors v and w are orthogonal or parallel as indicated.v =
, w =
; orthogonal
A. c = -20
B. c =
C. c = -10
D. c = 10
Answer: D
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Determine whether the given function is one-to-one. If so, find a formula for the inverse.f(x) = 5x3 - 7
A. Not a one-to-one function
B. f-1(x) =
C. f-1(x) =
D. f-1(x) = + 7
Compute r, the linear coefficient of correlation, for the given data.Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results.
A. 0.115 B. 0.471 C. 0.986 D. -0.280
Give the equation of the vertical asymptote(s) of the rational function.g(x) =
A. y = 3 B. y = 6 C. x = 6 D. x = -6
A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is ?b? = 63°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ?a? = 42°. Find the height of the antenna to the nearest foot. (Hint: Find x first.)
?
?
__________ ft
Fill in the blank(s) with the appropriate word(s).