Solve the problem.An aircraft going from Atlanta to Savannah on a heading of 105° (from north) is travelling at a speed of 530 miles per hour. The wind is out of the north at a speed of 23 miles per hour. Find the actual speed and direction of the aircraft.

A. 528 miles per hour; 107° from north
B. 525 miles per hour; 107° from north
C. 746 miles per hour; 107° from north
D. 536 miles per hour; 107° from north


Answer: D

Mathematics

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Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y) = xy2 - yx2, P0(-1, -1)

A.  i -  j
B.  i +  j
C.  i +  j
D.  i -  j

Mathematics

Find the Cartesian product or cardinal number as requested.A = {0}B = {11, 21, 31}Find B × A.

A. {0} B. {0, 0, 0} C. {(11, 0), (21, 0), (31, 0)} D. {(0, 11), (0, 21), (0, 31)}

Mathematics

Experiments conducted by A. J. Clark suggest that the response R(x) of a frog's heart muscle to the injection of x units of acetylcholine (as a percent of the maximum possible effect of the drug) may be approximated by the rational function ?  ?  where b is a positive constant that depends on the particular frog. If a concentration of 50 units of acetylcholine produces a response of 40% for a certain frog, find the "response function" for this frog. ? 

A.
B.
C.
D.
E.

Mathematics

Solve the problem. Express the answer in scientific notation to two decimals.A computer can do one calculation in 1.4 × 10-7 seconds. How long would it take the computer to do a trillion (1012) calculations?

A. 1.4 × 1012 sec B. 1.4 × 106 sec C. 1.4 × 105 sec D. 1.4 × 10-7 sec

Mathematics