Simplify the given expression.5 - 3(5w - 5) + w
A. 
w - 20
B. 14w + 20
C. 
w + 20
D. 14w - 20
Answer: C
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Provide an appropriate response.Solve the word problem using a system of equations with two unknowns:The length of a rectangle is 3 cm more than twice its width. If the perimeter of the rectangle is 54 cm., what are the dimensions?
Fill in the blank(s) with the appropriate word(s).
An auxiliary electric power station will serve three communities, A, B, and C, whose relative locations are shown in the accompanying figure. Determine where the power station should be located if the sum of the squares of the distances from each community to the site is minimized. Please round the answer to the nearest hundredth.
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Find three cube roots for the complex number. Leave your answers in trigonometric form.
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Solve the problem.Find (i) the exact volume, and (ii) the approximate volume, using 3.14 for ?, of the circular cone with base radius 9 meters and height 600 centimeters. Express the answers in cubic meters. Round the approximate answer to the nearest tenth.
A. (i) 162? m3; (ii) 508.7 m3 B. (i) 1620? m3; (ii) 5086.8 m3 C. (i) 243? m3; (ii) 763.0 m3 D. (i) 16? m3; (ii) 50.2 m3