Decide whether the rational number yields a repeating or a terminating decimal.
A. Repeating
B. Terminating
Answer: A
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Use Newton's method to approximate all the intersection points of the pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. Round to six decimal places.y = x3 - 2x2 and y = x2 - 1
A. x ? -0.683589, 0.854704, 2.878275 B. x ? -0.532089, 0.652704, 2.879385 C. x ? -0.279589, 0.651594, 2.679385 D. x ? -0.533199, 0.905204, 3.079385
Solve the problem.A cylindrical container has a diameter of 8 in. and a volume of 401.92 in. What is the height of the container?
A. 8 in. B. 16 in. C. 2 in. D. 4 in.
Provide an appropriate response.Are the graphs of y = 6x + 8 and y = 6x - 1 parallel? Explain how you know.
A. The graphs are parallel. The slope of y = 6x + 8 is 6 and the slope of y = 6x - 1 is also 6. Since the slopes of the two lines are equal, their graphs are parallel. B. The graphs are parallel. The slope of y = 6x + 8 is 8 and the slope of y = 6x - 1 is -1. Since the slopes of the two lines are not equal, their graphs are parallel. C. The graphs are not parallel. The slope of y = 6x + 8 is 6 and the slope of y = 6x - 1 is also 6. Since the slopes of the two lines are equal, their graphs are not parallel. D. The graphs are not parallel. The slope of y = 6x + 8 is 8 and the slope of y = 6x - 1 is -1. Since the slopes of the two lines are not equal, their graphs are not parallel.
Solve the problem.Formulate the following problem as a linear programming problem (DO NOT SOLVE):A veterinarian wants to set up a special diet that will contain at least 500 units of vitamin B1 at least 800 units of vitamin B2 and at least 700 units of vitamin B6. She also wants to limit the diet to at most 300 total grams. There are three feed mixes available, mix P, mix Q, and mix R. A gram of mix P contains 3 units of vitamin B1, 5 units of vitamin B2, and 8 units of vitamin B6. A gram of mix Q contains 9 units of vitamin B1, 8 units of vitamin B2, and 6 units of vitamin B6. A gram of mix R contains 7 units of vitamin B1, 6 units of vitamin B2, and 9 units of vitamin B6. Mix P costs $0.10 per gram, mix Q costs $0.12 per gram, and mix R costs $0.21 per gram. How many grams of each mix
should the veterinarian use to satisfy the requirements of the diet at minimal costs? (Let x1 equal the number of grams of mix P, x2 equal the number of grams of mix Q, and x3 equal the number of grams of mix R that are used in the diet).
A.
| Minimize | C = -0.10x1- 0.12x2 - 0.21x3 |
B.
| Minimize | C = 0.10x1- 0.12x2 + 0.21x3 |
C.
| Minimize | C = 0.10x1 + 0.12x2 + 0.21x3 |
D.
| Minimize | C = 0.10x1- 0.12x2 - 0.21x3 |
