Express the vector in the form v = v1i + v2j + v3k.
if A is the point (-5, -3, -6) and B is the point (0, -10, -3)
A. v = 5i - 7j + 3k
B. v = 5i - 7j - 3k
C. v = 5i + 7j - 3k
D. v = 5i + 7j + 3k
Answer: A
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Write a system of two inequalities that describe the constraints in the problem.An office manager needs to buy new filing cabinets. Cabinet A costs $6, takes up 5 square feet of floor space, and holds 7 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 14 cubic feet. He has only $66 to spend and the office has room for no more than 59 square feet of cabinets. Let x equal the number of cabinet A's bought and y equal the number of cabinet B's bought.
A. 6y + 8x ? 66, 5y + 8x ? 59 B. 7x + 14y ? 59, 59x + 66y ? 8 C. 6x + 8y ? 66, 5x + 8y ? 59 D. 7y + 14x ? 59, 59y + 66x ? 8
Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = - 4 and x = 4. The cross sections perpendicular to the x-axis are circular disks whose diameters run from the parabola y = x2 to the parabola y = 32 - x2.
A. 
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B. 
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C. 
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D. 
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Solve the problem.Volatility refers to:
A. the amount of uncertainty or risk about changes in a security's value B. the likelihood that a security's value will only decrease in value C. a security's value as compared to an industry benchmark D. the likelihood that a security's value will only increase in value
Use a proportion to solve the problem. Round to the nearest tenth as needed.A building casts a shadow 18 m long. At the same time, the shadow cast by a 44-cm tall pole is 95 cm long. Find the height of the building.
A. 37.4 m B. 6.8 m C. 8.3 m D. 38.9 m