Using the symbols ? (for negation) and ? (for implication), write the contrapositive ofthe implication P ? Q.

What will be an ideal response?


? Q ? ?P

Mathematics

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Solve the given differential equation. + 49y = cos 7x

A. y = c1 sin 7x + c2 cos 7x + x cos 7x
B. y = c1 sin 7x + c2 cos 7x - x sin 7x
C. y = c1 sin 7x + c2 cos 7x + x sin 7x
D. y = c1 sin 7x + c2 cos 7x + x sin 7x + x cos 7x

Mathematics

Use the multiplication property of equality to solve the equation. -k = 21

A. -20 B. 20 C. -21 D. 21

Mathematics

Solve.The cost C of double-dipped chocolate pretzel O's varies directly with the number of pounds of pretzels purchased, P. If the cost is  when 7.9 pounds are purchased, find a linear function that relates the cost C to the number of pounds of pretzels purchased P. Then find the cost C when 4.7 pounds are purchased.

A. C(P) = ; $136.18
B. C(P) = 0.098P; $0.46
C. C(P) = 17.238P; $136.18
D. C(P) = 10.256P; $48.20

Mathematics

Express the polynomial in descending order. If the polynomial is already in descending order, so state.2y2 - 6y4 + 3

A. 6y4 + 2y + 3 B. -6y4 + 2y2 + 3 C. -4y6 + 3 D. already in descending order

Mathematics