Determine whether the argument is valid or invalid.The Rams will be in the playoffs if and only if Ozzie is an all-star. Mark loves the Rams or Ozzie is an all-star. Mark does not love the Rams. Therefore, the Rams will not be in the playoffs.

A. Valid
B. Invalid


Answer: B

Mathematics

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Choose the graph which matches the function.f(x) = 4e- x

A.

B.

C.

D.

Mathematics

Find the indicated cross product.v = -4i - 5j, w = -4i + 4j - 6kFind w × v.

A. -30i + 24j + 36k B. -24i - 24j - 36k C. -24i + 30j + 36k D. 36i + 30j - 30k

Mathematics

Consider a line with slope m and y-intercept (0,5). Find the slope that yields the maximum distance between the origin and the line. ?

A. The maximum distance of occurs when the slope m is  and the line through (0,5) is horizontal.
B. The maximum distance of 5 occurs when the slope m is 0 and the line through (0,5) is horizontal.
C. The maximum distance of occurs when the slope m is 0 and the line through (0,5) is horizontal.
D. The maximum distance of 6 occurs when the slope m is 0 and the line through (0,6) is horizontal.
E. The maximum distance of occurs when the slope m is  and the line through (0,5) is horizontal.

Mathematics

Write a fraction to represent the shaded area of the figure.

A.
B.
C.
D.

Mathematics