Translate the sentence to an inequality.A number is less than or equal to -2.

A. x ? -2
B. x ? -2
C. x < -2
D. x > -2


Answer: B

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 = 81 - x2 and the x-axis, with density ?(x) = 9x2

A.  = 0,  = 
B.  = 0,  = 
C.  = 0,  = 
D.  =  = 0

Mathematics

Solve the problem.The inequality |T - 8| ? 13 describes the range of monthly average temperatures T in degrees Fahrenheit at a City X. (i) Solve the inequality. (ii) If the high and low monthly average temperatures satisfy equality, interpret the inequality.

A. -20 ? T ? 36; The monthly averages are always within 
B. -5 ? T ? 21; The monthly averages are always within 
C. 21 ? T ? 34; The monthly averages are always within 
D. 36 ? T ? 64; The monthly averages are always within 

Mathematics

Perform the indicated operation. Give answers in rectangular form expressing real and imaginary parts to four decimal places.[5(cos 20° + i sin 20°)][4(cos 10° + i sin 10°)]

A. 17.3205 + 10.0000i B. 0.5000 + 0.8660i C. 0.8660 + 0.5000i D. 10.0000 + 17.3205i

Mathematics

Solve the equation.10 + m = 20

A. m = -10 B. m = 10 C. m = 30 D. m = -30

Mathematics