Solve the problem.Suppose a projectile is launched from the origin into the first quadrant with an initial velocity v0 feet per second at an angle ? with the horizontal. If the only force acting on the projectile is the force of gravity (with acceleration, g = 32 ft/sec2), then the maximum height, H, attained by the projectile is given by  A golf ball is hit with an initial velocity of 44 ft/sec with an angle  Find the maximum height, H, attained by the ball. Round to the nearest foot.

A. 14 ft
B. 21 ft
C. 16 ft
D. 15 ft


Answer: D

Mathematics

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Use reduction formulas to evaluate the integral.

A. -  sin4 5x cos 5-  sin2 5x cos 5-  sin 10+  + C
B. -  sin4 5x cos 5-  sin2 5x cos 5-  cos 5+ C
C. -  sin4 5x cos 5-  sin2 5x cos 5-  cos 5+ C
D. -  cos4 5x sin 5-  cos2 5x sin 5-  cos 5+ C

Mathematics

Perform the indicated operations.  

A. -5 B. 4 C. 5 D. 35

Mathematics

Find the weighted mean of the numbers in the table. Round to the nearest tenth.A telephone company kept track of the calls for the correct time during a  period for two weeks. The results are shown in the table.

A. 59.6 calls B. 62.0 calls C. 61.6 calls D. 61.8 calls

Mathematics

Solve the problem.Formulate the following problem as a linear programming problem (DO NOT SOLVE):A veterinarian wants to set up a special diet that will contain at least 500 units of vitamin B1 at least 800 units of vitamin B2 and at least 700 units of vitamin B6. She also wants to limit the diet to at most 300 total grams. There are three feed mixes available, mix P, mix Q, and mix R. A gram of mix P contains 3 units of vitamin B1, 5 units of vitamin B2, and 8 units of vitamin B6. A gram of mix Q contains 9 units of vitamin B1, 8 units of vitamin B2, and 6 units of vitamin B6. A gram of mix R contains 7 units of vitamin B1, 6 units of vitamin B2, and 9 units of vitamin B6. Mix P costs $0.10 per gram, mix Q costs $0.12 per gram, and mix R costs $0.21 per gram. How many grams of each mix

should the veterinarian use to satisfy the requirements of the diet at minimal costs? (Let x1 equal the number of grams of mix P, x2 equal the number of grams of mix Q, and x3 equal the number of grams of mix R that are used in the diet).

A.

MinimizeC = -0.10x1- 0.12x2 - 0.21x3
subject to 
 
B.
MinimizeC = 0.10x1- 0.12x2 + 0.21x3
subject to 
 
C.
MinimizeC = 0.10x1 + 0.12x2 + 0.21x3
subject to 
 
D.
MinimizeC = 0.10x1- 0.12x2 - 0.21x3
subject to 
 

Mathematics