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
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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
Graph the function.y = -6 sec
A.
B.
C.
D.
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
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