State whether the graph is or is not that of a function.
A. Not a function
B. Function
Answer: A
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Solve the problem.The volume V of a square-based pyramid with base sides s and height h is If the height is half of the length of a base side, express the volume V as a function of s.
What will be an ideal response?
State the dual of the linear programming problem.Maximize5x1?+ 6x2+ 6x3 subject to2x1?+ 3x2? 444x1?+x3?? 22??2x2?+ x3? 20and x1 ? 0, x2 ? 0, x3 ? 0
A.
Minimize | 44y1? | + 22y2 | + 20y3 |
subject to | 2y1? | + 4y2 | ? 5 |
3y1? | + | 2y3? | ? 6 |
? | ? | y2? | + y3? 6 |
B.
Minimize | 44y1? | + 22y2 | + 20y3 |
subject to | 2y1? | + 3y2 | ? 5 |
4y1? | + | 2y3? | ? 6 |
? | ? | y2? | + y3? 6 |
C.
Minimize | 5y1? | + 6y2 | + 6y3 |
subject to | 2y1? | + 4y2 | ? 44 |
3y1? | + | 2y3? | ? 22 |
? | ? | y2? | + y3? 20 |
D.
Minimize | 44y1? | + 22y2 | + 20y3 |
subject to | 2y1? | + 4y2 | ? 5 |
3y1? | + | 2y3? | ? 6 |
? | ? | y2? | + y3? 6 |
Solve the problem.If three cards are drawn without replacement from an ordinary deck, find the probability that the third card is a heart, given that the first two cards were hearts.
A.
B.
C.
D.
Write the standard form of the equation of the circle.
A. (x - 4)2 + (y - 6)2 = 2 B. (x + 4)2 + (y + 6)2 = 2 C. (x - 4)2 + (y - 6)2 = 4 D. (x + 4)2 + (y + 6)2 = 4