Solve the problem.Kara is making a box by cutting out 3-in.-by-3-in. squares from a square piece of cardboard and folding the edges to make a 3-inch-high box. What size of cardboard does Kara need to make a 3-inch-high box with a volume of 75 cubic inches?

A. 23 in. by 23 in.
B. 5 in. by 5 in.
C. 8 in. by 8 in.
D. 11 in. by 11 in.


Answer: D

Mathematics

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Solve.Given that loga2 = 0.3010 and loga3 = 0.4771, find loga

A. 2.0333 B. 0.0512 C. 0.8293 D. 0.1992

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Use Bayes' rule to find the indicated probability.Two stores sell a certain MP3 players. Store A has 34% of the sales, 5% of which are of defective items, and store B has 66% of the sales, 1% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B?

A. 0.275 B. 0.22 C. 0.5667 D. 0.7083

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Factor.512x3 - 1

A. (8x - 1)(64x2 + 1) B. (8x - 1)(64x2 + 8x + 1) C. (512x - 1)(x2 + 8x + 1) D. (8x + 1)(64x2 - 8x + 1)

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Write an equation for the parabola with vertex at the origin.Focus (5, 0)

A. x2 = 5y B. y2 = 5x C. y2 = 20x D. x2 = 20y

Mathematics