Solve the problem.For the incline shown below, how many feet in the vertical direction correspond to 3 ft in the horizontal direction?

A. 3 ft
B. 12 ft
C.  ft
D. 4 ft


Answer: C

Mathematics

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Find the standard form of the equation of the ellipse satisfying the given conditions.Center at (0, 0); Focus at (0, 6); Vertex at (0, 7)

A.  +  = 1
B.  +  = 1
C.  +   = 1
D.   +   = 1

Mathematics

Write the equation of the line that has the given slope and passes through the given point. Write the equation in slope-intercept form.m = -4; (-5, 2)

A. y = -4x + 18 B. y - 2 = x + 5 C. y = -4x - 18 D. y - 2 = -4x + 5

Mathematics

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) = 

A. f(x): D is all real numbers, R is all real numbers;
f-1(x): D is all real numbers, R is all real numbers
B. f(x): D = {x|x ? -1}, R = {y ? 0};
f-1(x): D = {x|x ? 0}, R = {y|y ? -1}
C. f(x): D is all real numbers, R = ;
f-1(x): D = , R is all real numbers
D. f(x): D = , R = ;
f-1(x): D = , R = 

Mathematics

A small town has only two dry cleaners, Fast and Speedy. Fast hopes to increase its market share by conducting an extensive advertising campaign. The initial market share for Fast was 40% and 60% for Speedy. Solve the problem.Find the probability that a customer using Fast initially will use Fast for his second batch of clothes. Use the following transition matrix.FastSpeedy  

A. 0.64 B. 0.57 C. 0.43 D. 0.36

Mathematics