Determine if the argument is valid or invalid. Give a reason to justify answer.If you wear a tie, then you look natty.You do not look natty.  ? You are not wearing a tie.

A. Invalid by fallacy of the converse
B. Valid by the law of contraposition
C. Valid by disjunctive syllogism
D. Invalid by fallacy of the inverse


Answer: B

Mathematics

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Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = ; R = {(x, y): 0 ? x ? 1, 1 ? y ? e}

A.
B.
C.
D.

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Find the derivative.s = t2 - cos t + 2et

A.  = t + sin t + 2et
B.  = 2t + sin t + 2et
C.  = 2t - sin t + 2et
D.  = 2t + sin t - 2et

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Determine the coordinates of the vertex by completing the square.f(x) = x2 + 8x

A. (-4, -16) B. (16, -4) C. (-16, 4) D. (4, -16)

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Find a quadratic equation whose solution set is given.{0, 7}

A. x2 + 7x = 0 B. x - 7 = 0 C. x + 7 = 0 D. x2 - 7x = 0

Mathematics