Decide whether the limit exists. If it exists, find its value. f(x)

A. 0
B. Does not exist
C. -2
D. -1


Answer: D

Mathematics

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Solve the problem.A jet plane traveling at a constant speed goes 1200 miles with the wind, then turns around and travels for 1000 miles against the wind. If the speed of the wind is 50 mph and the total flight took 4 hours, find the speed of the plane.

A. 435 mph B. 525 mph C. 605 mph D. 550 mph

Mathematics

Find the center, foci, and vertices of the ellipse.9x2 + y2 - 162x + 720 = 0

A.  + (y - 9)2 = 1
center: (9, 0); foci: (9, 2), (9, -2); vertices:(9, 3), (9, -3)
B. (x - 9)2 +  = 1
center: (9, 0); foci: (9, 2), (9, -2); vertices:(9, 3), (9, -3)
C.  + (y - 3)2 = 1
center: (3, 0); foci: (3, 4), (3, -2); vertices:(3, 9), 
(3, -9)
D. (x - 3)2 +  = 1
center: (3, 0); foci: (3, 4), (3, -4); vertices:(3, 9), (3, -9)

Mathematics

Decide whether the statement is true or false. If false, correct the statement so it is true. =  ?  

A. True
B. False;  = - ?  

Mathematics

Solve the problem.A rain gutter is made from sheets of aluminum that are 27 inches wide. The edges are turned up to form right angles. Determine the depth of the gutter that will allow a cross-sectional area of 54 square inches. There are two solutions to this problem. Round to the nearest tenth of an inch.

A. 2.4 in. and 11.1 in. B. 2.2 in. and 24.8 in. C. 1.7 in. and 19.9 in. D. 2.9 in. and 13.3 in.

Mathematics