Solve the problem. Round your answer to the nearest tenth.The roof of a building is in the shape of the top half of the hyperbola y2 - x2 = 21, where x and y are in meters. Refer to the figure and determine the distance, w, between the two outside walls. 
a = 9.0 m b = 9.0 m
A. 15.5 m
B. 10.1 m
C. 7.8 m
D. 60.0 m
Answer: A
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Find the area of the shaded region of the figure. Use 3.14 for ? as necessary.
A. 55.86 cm2 B. 104.86 cm2 C. 52.43 cm2 D. 258.72 cm2
Solve the given equation for x.log327 = x
A. 
B. 
C. 
D. 
Perform the indicated operation. Simplify if possible.
+ 
A. 
B. 
C. 
D. 
Provide an appropriate response.A red urn contains 4 red marbles, 2 blue marbles, and 4 green marbles. A blue urn contains 2 red marbles, 2 blue marbles, and 1 green marble. A green urn contains 3 green marbles. A marble is selected from an urn, the color is noted, and the marble is returned to the urn from which it was drawn. The next marble is drawn from the urn whose color is the same as the marble just drawn. Thus, this is a Markov process with three states: draw from the red urn, draw from the blue urn, or draw from the green urn. Find the limiting matrix 
, if it exists, and describe the long-run behavior of this process.
A. 
= 
B. 
= 
C. 
= 
D. 
= 
