Solve the problem.When a person bends at the waist with a straight back, the force, F, exerted by the person's lower back muscles can be estimated with the formula
where w is the person's weight, and ? is the angle made by the person's torso relative to the horizontal. Suppose that a
person bends at an angle of 30°. Determine the force exerted by the person's back muscles, and estimate the angle that requires the back muscles to exert a force of 381 pounds. Round the force to the nearest pound, and the angle to the nearest tenth, if necessary.
A. 318 pounds; 47.3°
B. 26 pounds; 53.2°
C. 551 pounds; 53.2°
D. 551 pounds; 30°
Answer: C
Mathematics
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Express the number in standard notation.2.0433 × 10-7
A. 0.00000020433 B. 0.000000020433 C. 0.0000020433 D. -204,330,000
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Solve the problem.In the metropolitan area, car dealers have 6639 foreign sports cars for sale and 3900 domestic sports cars for sale. How many sports cars are for sale?
A. 10,539 cars B. 3658 cars C. 2739 cars D. 10,041 cars
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Solve the system by using the inverse of the coefficient matrix. 5x + 4y = 84x - 2y = 22
A. {(4, -3)} B. {(3, -4)} C. {(-4, 3)} D. {(-3, 4)}
Mathematics
Solve the formula for the indicated variable. +
= c for b
A. b =
B. b = ac -
C. b =
D. b = - a
Mathematics