Write the statement form in symbols using the conditional (?) or the biconditional (?) connective. If the form is conditional, name the hypothesis and the conclusion. Let p be the statement "It is raining" and q be the statement, "There are clouds in the sky."If there are no clouds in the sky, then it is not raining.

What will be an ideal response?


~q ? ~p; hypothesis: ~q, conclusion: ~p

Mathematics

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Calculate the work done by the force F along the path C.F = ti + j + k ; C: r(t) = e4ti + e4tj  + (7t2 + t)k , -1 ? t ? 1

A. W = e4 + e-4 + 16 B. W = 2 C. W = 16 D. W = e4 + e-4 + 2

Mathematics

Combine like terms whenever possible.5y + 8x4y - 8y + 5x4y

A. 13y + 13x4y B. -3y + 13x4y C. -6y + 26x4y D. -3y + 3x4y

Mathematics

Write a quadratic equation in standard form with the given solution set.{-7i, 7i}

A. x2 + 49 = 0 B. x2 - 49 = 0 C. x2 - 14x - 49 = 0 D. x2 + 14x + 49 = 0

Mathematics

Solve the problem.The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which usually sells for $8 per pound. They have a  barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture?

A. 70 lb B. 75 lb C. 80 lb D. 65 lb

Mathematics