Solve the problem.A plane takes off from an airport on the bearing S29°W. It continues for 20 minutes then changes to bearing  and flies for 2 hours 20 minutes on this course then lands at a second airport. If the plane' s speed is 420 mph, how far from the first airport is the second airport? Round your answer correct to the nearest mile.

A. 1110 mi
B. 1011 mi
C. 1111 mi
D. 1010 mi


Answer: A

Mathematics

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Find the limit, if it exists. 

A. 0 B. Does not exist C. 5 D. -1

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Write an equivalent expression in exponential form.log10 0.000001 = -6

A. -610 = 0.000001 B. 0.000001-6 = 10 C. 100.000001 = -6 D. 10-6 = 0.000001

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What number should be added to complete the square of the expression?x2 + 16x

A. 64 B. 8 C. 32 D. 128

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State the dual problem. Use y1, y2,  y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0,  y3 ? 0, and y4Minimizew = 2x1 + 3x2 + x3subject to:x1 + 3x2 + 2x3 ? 35 2x1 + 4x2 + 3x3 ? 50 x1 ? 0, x2 ? 0, x3 ? 0

A. Maximize z = 50y1 + 35y2

subject to:2y1 + y2 ? 2
 4y1 + 3y2 ? 3
 3y1 + 2y2 ? 1
B.
Maximizez = 35y1 + 50y2
subject to:y1 + 2y2 ? 2
 3y1 + 4y2 ? 3
 2y1 + 3y2 ? 1
C. Maximize z = 50y1 + 35y2
subject to:2y1 + y2 ? 2
 4y1 + 3y2 ? 3
 3y1 + 2y2 ? 1
D.
Maximizez = 35y1 + 50y2
subject to:y1 + 2y2 ? 2
 3y1 + 4y2 ? 3
 2y1 + 3y2 ? 1

Mathematics