Let p denote the statement "Jack committed the crime" and let q denote the statement "Jack is friendly." Which of the following denotes the statement "Jack did not commit the crime or he is friendly"?

A. ~p ? q
B. p ? q
C. ~(p ? q)
D. p ? ~q
E. none of these


Answer: A

Mathematics

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The height of a hill (in feet) is given by h(x, y) = 30(14 - 5x² - 2y² + 3xy + 30x - 18y) where x is the distance (in miles) east and y is the distance (in miles) north of your cabin. If you are at a point on the hill 1 mile north and 1 mile east of your cabin, what is the rate of change of the height of the hill (a) in a northerly direction and (b) in an easterly direction?

a. (a) 570 ft/mi, (b) 690 ft/mi b. (a) –570 ft/mi, (b) 690 ft/mi c. (a) 690 ft/mi, (b) 570 ft/mi d. (a) 690 ft/mi, (b) –570 ft/mi

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Graph the function.y = -6 sec 

A.

B.

C.

D.

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Find the number of terms in the sequence or the sum of the sequence as requested.Find the number of terms in the following arithmetic sequence.  3, 9, 15, 21, . . ., 129

A. 16 B. 25 C. 19 D. 22

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Express the English phrase using an algebraic expression.7 less than 8 times a number z

A. 8 - 7z B. 7z - 8 C. 7 - 8z D. 8z - 7

Mathematics