Solve the problem.An artist is creating a mosaic that cannot be larger than the space allotted which is 4 feet tall and 6 feet wide. The mosaic must be at least 3 feet tall and 5 feet wide. The tiles in the mosaic have words written on them and the artist wants the words to all be horizontal in the final mosaic. The word tiles come in two sizes: The smaller tiles are 4 inches tall and 4 inches wide, while the large tiles are 6 inches tall and 12 inches wide. If the small tiles cost $3.50 each and the larger tiles cost $4.50 each, how many of each should be used to minimize the cost? What is the minimum cost?
What will be an ideal response?
0 small tile, 6 large tiles; minimum cost $27
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At what points is the given function continuous?f(x, y, z) =
A. All (x, y, z) such that x - y - z ? 0 B. All (x, y, z) C. All (x, y, z) such that x ? 0 and y + z ? 0 D. All (x, y, z) in the first octant
Prove the identity.
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What will be an ideal response?
Solve the problem.A formula relating an athlete's vertical leap V, in inches, to hang time t, in seconds, is V(t)= 48t2. A professional basketball player has a vertical leap of 35 inches. What is his hang time? Round your answer to the nearest tenth of a second.
A. 0.9 sec B. 0.6 sec C. 0.7 sec D. 1 sec
Solve.A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $59 under this promotional deal, how many minutes of phone calls did he make? Round to the nearest integer, if necessary.
A. 880 B. 9 C. 2 D. 1480