An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul.In how many ways can the first award be presented to Karen and the last to Lyle?

A. 24
B. 360
C. 120
D. 840


Answer: C

Mathematics

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Solve the problem.A projectile is fired from a height of 9.7 feet with an initial velocity of 124 ft/sec at an angle of 54° with the horizontal. The parametric equations for the path of the projectile are x = (124 cos 54°)t, and y = 9.7 + (124 sin 54°)t - 16t2,where x and y are in feet and t is in seconds. How long does it take the projectile to hit the ground? Round your answer to the nearest tenth of a second.

A. 12.7 seconds B. 6.3 seconds C. 6.4 seconds D. 8.1 seconds

Mathematics

Provide an appropriate response.The domain of f(q) =  is

A. all real numbers except 1 and -1 B. all real numbers except -1, 1, and -2 C. all real numbers except -4 D. all real numbers except -2 and 2 E. all real numbers

Mathematics

Solve the problem.The position of an object moving in a straight line is given by s = 2t2 - 3t, where s is in meters and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 8 meters?

A. 2.9 sec B. 9.0 sec C. 10.4 sec D. 2.7 sec

Mathematics

Graph the ellipse described.Foci at (±3, 0); length of the major axis is 14

A.

B.

C.

D.

Mathematics