Find the product.(5x - 5y)(5x - 2y + 1)
A. 25x2 - 25xy + 5x + 10y2 - 5y
B. 25x2 - 35xy - 35y2
C. 25x2 - 35xy + 5x + 10y2 - 5y
D. 25x2 - 10xy + 5x + 10y2
Answer: C
Mathematics
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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 4 - x2 and the x-axis, with density ?(x) = 2x2
A. 
= 0, 
= 
B. 
= 0, 
= 
C. 
= 
, 
= 0
D. 
= 0, 
= 
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Simplify the expression. Assume all variables represent nonzero real numbers.(-2x)3
A. -6x B. -8x3 C. 8x D. 6x3
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Convert the fraction to a decimal.2
A. 2.9
B. 2.95
C. 2.
D. 2.
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Find the volume of the solid. When necessary, use 3.14 as the approximate value of ?, and round as instructed.A sphere with diameter 4 m. Round to the nearest tenth.
A. 33.5 m3 B. 267.9 m3 C. 16.7 m3 D. 18.8 m3
Mathematics