Find the flux of the vector field F across the surface S in the indicated direction.F = 3x2j - z3k; S is the portion of the parabolic cylinder y = 6x2 for which 0 ? z ? 5 and -2 ? x ? 2; direction is outward (away from the y-z plane)
A. - 80
B. 240
C. -240
D. 80
Answer: D
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Divide.249 ÷ 6
A. 44 B. 41 R5 C. 41 R3 D. 41
Translate the problem to a system of equations, then solve using Cramer's Rule.Twice the water flow in the hot-water pipe is the same as three times the flow in the cold-water pipe. The combined flow is 1200 liters per hour. What is the flow in each pipe?
A. 600 liters/hr hot, 400 liters/hr cold B. 400 liters/hr hot, 600 liters/hr cold C. 720 liters/hr hot, 480 liters/hr cold D. 480 liters/hr hot, 720 liters/hr cold
Write an algebraic equation and use it to solve the problem.During a road trip, Tonya drove one-third the distance that Lana drove. Mark drove 24 miles more than Lana. The total distance they drove on the trip was 367 miles. How many miles did each person drive?
A. Tonya drove 441 miles, Lana drove 147 miles, and Mark drove 123 miles. B. Tonya drove 147 miles, Lana drove 441 miles, and Mark drove 465 miles. C. Tonya drove 41 miles, Lana drove 123 miles, and Mark drove 147 miles. D. Tonya drove 49 miles, Lana drove 147 miles, and Mark drove 171 miles.
Solve the problem.Bruce is a retired carpenter who builds patio chairs and dog houses, which he sells at his local flea market. It takes him 4 hours to build a dog house and 3 hours to build a patio chair. Bruce can work no more than 35 hours per week, and he must produce more chairs than dog houses. Write a system of inequalities to describe this situation. Use D for the number of dog houses and P for the number of patio chairs produced in a week.
A. 
P ? 0
D ? 0
B. 
P ? 0
D ? 0
C. 
P ? 0
D ? 0
D. 
P ? 0
D ? 0