Evaluate.-4x3 - 2x2 + 47 for x = 2
A. -3
B. -5
C. 11
D. 7
Answer: D
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Solve the problem.A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 2 feet longer than the length of a shelf. If 22 feet of lumber is available for the entire unit (including the shelves, but NOT the back of the bookcase), find the length and height of the unit.
A. length = 4.5 ft; height = 6.5 ft B. length = 3 ft; height = 5 ft C. length = 3 ft; height = 6 ft D. length = 10.0 ft; height = 13.5 ft
Find an equation of a parabola satisfying the given conditions.Focus (-3, 0), directrix x = 3
A. x2 = 12y B. y2 = 12x C. x2 = -12y D. y2 = -12x
Solve the problem.A fully cooked turkey is taken out of an oven set at 200°C (Celsius) and placed in a sink of chilled water of temperature 4°C. After 3 minutes, the temperature of the turkey is measured to be 50°C. How long (to the nearest minute) will it take for the temperature of the turkey to reach 15°C? Assume the cooling follows Newton's Law of Cooling: U = T + (Uo - T)ekt.(Round your answer to the nearest minute.)
Fill in the blank(s) with the appropriate word(s).
Use the simplex method to solve the linear programming problem.A furniture company makes two different types of lamp stand. Each lamp stand A requires 16 minutes for sanding, 48 minutes for assembly, and 6 minutes for packaging. Each lamp stand B requires 8 minutes for sanding, 32 minutes for assembly, and 8 minutes for packaging. The total number of minutes available each day in each department are as follows: for sanding 3360 minutes, for assembly 9600 minutes, and for packaging 2000 minutes. The profit on each lamp stand A is $30 and the profit on each lamp stand B is $22. How many of each type of lamp stand should the company make per day to maximize their profit? What is the maximum profit?
A. Maximum profit is $7336 when they make 136 of lamp stand A and 148 of lamp stand B B. Maximum profit is $6000 when they make 200 of lamp stand A and 0 of lamp stand B C. Maximum profit is $6380 when they make 66 of lamp stand A and 200 of lamp stand B D. Maximum profit is $6164 when they make 138 of lamp stand A and 92 of lamp stand B