State whether the graph is or is not that of a function.

A. Not a function
B. Function


Answer: A

Mathematics

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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?

Mathematics

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.

Minimize44y1?+ 22y2+ 20y3
subject to2y1?+ 4y2? 5
3y1?+2y3?? 6
??y2?+ y3? 6
and y1 ? 0, y2 ? 0, y3 ? 0
B.
Minimize44y1?+ 22y2+ 20y3
subject to2y1?+ 3y2? 5
4y1?+2y3?? 6
??y2?+ y3? 6
and y1 ? 0, y2 ? 0, y3 ? 0
C.
Minimize5y1?+ 6y2+ 6y3
subject to2y1?+ 4y2? 44
3y1?+2y3?? 22
??y2?+ y3? 20
and y1 ? 0, y2 ? 0, y3 ? 0
D.
Minimize44y1?+ 22y2+ 20y3
subject to2y1?+ 4y2? 5
3y1?+2y3?? 6
??y2?+ y3? 6
and y1 ? 0, y2 ? 0, y3 ? 0

Mathematics

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.

Mathematics

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

Mathematics