Write one or more inequalities that describe the set of points.The exterior of the sphere of radius 2 centered at the point (4, -5, 5)
A. (x + 4)2 + (x - 5)2 + (x + 5)2 ? 4
B. (x + 4)2 + (x - 5)2 + (x + 5)2 < 4
C. (x - 4)2 + (x + 5)2 + (x - 5)2 > 4
D. (x - 4)2 + (x + 5)2 + (x - 5)2 < 4
Answer: C
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Solve the problem.The production level P of a factory during one time period is modeled by P(x, y) = Kx1/2y1/2 where K is a positive integer, x is the number of units of labor scheduled and y is the number of units of capital invested. If labor costs $1800/unit, capital costs $600/unit and the owner has $1,800,000 available for one time period, what amount of labor and capital would maximize production?
A. 473.7 units of labor and 1285.7 units of capital B. 500.0 units of labor and 1500.0 units of capital C. 1000.0 units of labor and 3000.0 units of capital D. 1500.0 units of labor and 500.0 units of capital
Give the amplitude or period as requested.Amplitude of y = -4 sin x
A. 4
B. 2?
C. -4?
D. 
Evaluate the expression using order of operations.(6 + (-5))[6 + (8 + 3)]
A. 17 B. 77 C. 18 D. 14
Graph the linear inequality by shading the points not satisfying it.x ? 2y
What will be an ideal response?