Solve the linear programming 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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Find the first four terms of the indicated expansion.(x1/3 - y)9
A. x3 - 9x2y + 36xy2 - 84y3 + . . . B. x3 - 9x8/3y + 36x7/3y2 - 84x2y3 + . . . C. x3 - 9x8/3y + 72x7/3y2 - 504x2y3 + . . . D. x3 + 9x8/3y + 36x7/3y2 + 84x2y3 + . . .
Determine whether the ordered pair is a solution of the given linear equation.y = x + 6; (-2, 4)
A. yes B. no
Solve the problem.A person at the top of a 600 foot tall building drops a yellow ball. The height of the yellow ball is given by the equation where h is measured in feet and t is the number of seconds since the yellow ball was dropped. A second person, in the same building but on a lower floor that is
from the ground, drops a white ball
after the yellow ball was dropped. The height of the white ball is given by the equation
src="https://sciemce.com/media/4/ppg__10616191712__f1q27g4.jpg" alt="" style="vertical-align: -4.0px;" /> where h is measured in feet and t is the number of seconds since the yellow ball was dropped. Find the time that the balls are the same distance above the ground and find this distance. A. 5.5 sec; 116 ft B. 5 sec; 200 ft C. 4.5 sec; 276 ft D. 6 sec; 24 ft
Solve the problem.Add (6a4 - 7a2) and (5a4 - 2a2).
A. 2a6 B. 11a4 - 9a2 C. 2a12 D. 11a8 - 9a4