Write the equation of a function that has the given characteristics.The graph of y = x2, shifted 6 units upward

A. y = x2 - 6
B. y = 6x2
C. y = x2 + 6
D. y = 

Answer: C

Mathematics

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Express the number in standard notation.1.11 × 10-4

A. -111,000 B. 0.00111 C. 0.000111 D. 0.0000111

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Convert the objective function into a maximization function.Minimizew = y1 + 2y2 + 3y3subject to:4y1 + 3y2 + y3 ? 25 y1 + 2y2 + 4y3 ? 39 y1 ? 0, y2 ? 0, y3 ? 0

A. Maximize z = -y1 - 2y2 - 3y3 B. Maximize z = -y1 - 2y2 - 4y3 ? 39 C. Maximize z = -4y1 - 3y2 - y3 ? 25 D. Maximize z = y1 + 2y2 + 3y3 - y4

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Solve the problem.Consider the following absorbing stochastic matrix. After a long period of time, what is the probability of an element moving from state III to state I?

Fill in the blank(s) with the appropriate word(s).

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