Write the compound statement in words.Let r = "The puppy is trained."   p = "The puppy behaves well."  q = "His owners are happy."~r ? ~q

A. If the puppy is not trained then his owners are not happy.
B. It is not the case that if the puppy is trained then his owners are happy.
C. The puppy is not trained and his owners are not happy.
D. The puppy is trained or his owners are happy.


Answer: A

Mathematics

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Solve the problem.Mrs. White wants to crochet hats and afghans for a church fundraising bazaar. She needs 8 hours to make a hat and 4 hours to make an afghan, and she has no more than 68 hours available. She has material for no more than 13 items and no more than 10 afghans. The bazaar will sell the hats for $22 each and the afghans for $12 each. How many of each should she make to maximize the income for the bazaar? What is the maximum income?

A. 10 hats, 3 afghans; $256 B. 4 hats, 9 afghans; $196 C. 6 hats, 7 afghans; $216 D. 9 hats, 4 afghans; $246

Mathematics

Find the additive inverse and the multiplicative inverse of .

A. additive inverse:
multiplicative inverse:
B. additive inverse:
multiplicative inverse:
C. additive inverse:
multiplicative inverse:
D. additive inverse:
multiplicative inverse:
E. additive inverse:
multiplicative inverse:

Mathematics

For problems 1 and 2 the center of an ellipse is .  The major axis is horizontal, and the distance between vertices on the major axis is 24.  The minor axis is vertical, and the distance between vertices on the minor axis is 8. Write the equation of the ellipse in standard form.

A.
B.
C.
D.
E. None of these

Mathematics

Determine whether the graph is a forest or not.

Mathematics