Use the RTSC Approach to solve the application.Three times the sum of some number plus 2 is equal to 5 times the number minus 8.

A. -7
B. -14
C. 14
D. 7


Answer: D

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 between the x-axis and the curve y = , 1 ? x ? 2, with density ?(x) = 

A.  =  = 1
B.  =  = 3
C.  =  = 1
D.  =  = 2

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.5x2 - 6xy + 5y2 - 8 = 0

A. ? = 45°
 - y'2 = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±2, 0)
B. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-1, 0)
C. ? = 45°
 + y'2 = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
D. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -1)

Mathematics

Determine the row operation that was used on the first matrix to obtain the second matrix.

What will be an ideal response?

Mathematics

Determine which number/s in the set is/are natural number/s.

{2.65, 0.669..., –2, 0.019937247..., 35, –20}

Mathematics