Evaluate the exponential expression. Write the answer as an improper fraction where appropriate.
2
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Answer: C
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Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM.In producing three types of bricks: face bricks, common bricks, and refractory bricks, a factory incurs labor, material, and utility costs. To produce one pallet of face bricks, the labor, material, and utility costs are $50, $75, and $35, respectively. To produce one pallet of common bricks, the labor, material, and utility costs are $50, $60, and $30, respectively, while the corresponding costs for refractory bricks are $75, $100, and $45. In a certain month the company has allocated $12,000 for labor costs, $14,500 for material costs and $6,000 for utility costs. How many pallets of each type of brick should be produced in that month to exactly utilize these allocations? Set up a system of linear equations,
letting x, y, and z be the number of pallets of face, common, and refractory bricks, respectively, that must be produced in that month. What will be an ideal response?
Rationalize the denominator.
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Solve the problem.A football team gained 36 yards on one play, lost 38 yards on another, and gained 21 yards on the last play of the first half. They had already gained 353 yards during the half. What was the total yardage gain for the first half?
A. 448 yards B. 372 yards C. 410 yards D. 334 yards
Factor out the greatest common factor.80x8y9 + 32x2y6 + 64x6y2
A. 16x2(5x6y9 + 2y6 + 4x4y2) B. no common factor C. 16(5x8y9 + 2x2y6 + 4x6y2) D. 16x2y2(5x6y7 + 2y4 + 4x4)