Find the average value of the function over the given interval.f(x) = 2x + 12 on [-6, 6]

A. 144
B. 12
C. 24
D. 6


Answer: B

Mathematics

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In the indicated voting system, the weights represent, in order, voters A, B, C, and so on. Write out all of the winning coalitions.[23 : 3, 5, 6, 8, 9]

A. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {A, B, D, E}, {A, B, C, E}, {C, D, E}, {C, D}, {D, E} B. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {A, B, D, E}, {A, B, C, E}, {C, D, E} C. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {A, B, D, E} D. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {C, D, E}

Mathematics

IT = 90 mA, I1 = 40 mA, and I2 = 50 mA. Find I3.


a. 0
b. 10 mA
c. 40 mA
d. 50 mA
e. 90 mA

Mathematics

If a triangle has vertices of   and  then the area of the triangle is given by    Find the area of the triangle with vertices at the given points.(-4, -4) (1, 4) (4, 2)

A. 34 B. 52 C. 26 D. 17

Mathematics

Convert the length as indicated. feet to inches

A. 36 in. B. 10.5 in. C. 42 in. D. 43.5 in.

Mathematics