Solve.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 10 ft and the vertical clearance must be 5 ft at a point 24 ft from the center. Find an equation for the ellipse.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Answer: A
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New telephone lines must be installed to connect 9 cities (A, B, C, D, E, F, G, H and J). Due to government regulations, the only possible connections that are allowed are shown by the edges on the network below. The numbers on the edges indicate the cost (in millions of dollars) of each possible connection. The telephone company wishes to connect the cities in the cheapest possible way.
The total cost of the optimal solution to this problem is
A. 21 million. B. 19 million. C. 20 million. D. 18 million. E. none of these
Use the accompanying graph of a particle moving on a coordinate line with velocity v = f(t) in ft/sec at time t seconds. The axes are marked off at one-unit intervals. Use these terms to describe the motion state: moving forward/backward, increasing/decreasing speed, and resting. Recall that speed = 
. 
Give the interval(s) when the speed of the particle is increasing.
A. (0, 2), (5, 6), and (11, 13) B. (0, 2), (5, 6), (11, 13), and (21, 23) C. (0, 2), (5, 6), and (21, 23) D. (0, 6), (11, 15), and (19, 23)
Graph the linear inequality.y ? 3
A. 
B. 
C. 
D. 
Evaluate the logarithm log1/3 0.603 using the change of base formula. Round to 3 decimal places.
A. 2.172 B. 0.556 C. -0.506 D. -0.22 E. 0.46