Simplify the expression.-4(4m - 3) - 2(2m - 3)

A. -20m - 18
B. -20m - 6
C. 6m + 18
D. -20m + 18


Answer: D

Mathematics

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Evaluate the integral.

A. 225?
B. ?
C. 150?
D. 75?

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Perform the matrix operation.Given A =  and B =  , find AB.

A.

B.

C.

D.

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Solve.If the three lengths of the sides of a triangle are known, Heron's formula can be used to find its area. If a, b, and c are the three lengths of the sides, Heron's formula for area is: A = where s is half the perimeter of the triangle, or s = (a + b + c).Use this formula to find the area of the triangle if a = 8 cm, b = 10 cm and c = 14 cm. 

A. 32 sq cm
B. 96 sq cm
C. 4 sq cm
D. 16 sq cm

Mathematics

Construct the transition diagram and the transition matrix that represents the data.Fifty percent of those who call themselves liberal for the last election will vote as liberals in the next election, 15% will vote as conservatives, and 35% will vote as independents. 70% of those who voted as conservatives in the last election will do so in the next election, while 9% will vote as liberals, and 21% will vote as independents. 88% of those who voted as independents in the last election will do so in the next election, 10% will vote as liberals, and 2% will vote as conservatives.

A.


A = 0.5B = 0.15C = 0.7
D = 0.21 E = 0.88 F = 0.09
G = 0.02 H = 0.35 I = 0.10

     L     C     I
   
B.

A = 0.35B = 0.15C = 0.7
D = 0.09 E = 0.1 F = 0.21
G = 0.02 H = 0.5 I = 0.88

    L     C     I
   

Mathematics