Identify the standard form of the argument.p ? q
? q
A. Law of Contraposition
B. Fallacy of the Converse
C. Fallacy of the Inverse
D. Law of Detachment
Answer: D
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Find the x-intercepts and y-intercept of the graph of the given quadratic equation.y = -x2 + 15x - 56
A. x-intercepts (-7, 0) and (-8, 0); y-intercept (0, -56) B. x-intercepts (7, 0) and (-8, 0); y-intercept (0, -56) C. x-intercepts (7, 0) and (8, 0); y-intercept (0, -56) D. x-intercepts (-7, 0) and (8, 0); y-intercept (0, 56)
Solve the problem.To find the height of this tree, Juanita marked the tree at eye level, 1.8 meters above the ground. She measured 39 m from the base of the tree and then held a 5-cm ruler vertically in front of her eye until the ruler just obscured the tree above the mark. Using a string tied through a hole in one end of the ruler, Juanita found that the distance from her eye to the ruler was 5.7 centimeters. What was the height of the tree? Round to the nearest unit.
A. 34 m B. 36 m C. 40 m D. 30 m
Find the derivative of the function.
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A.
B.
C.
D.
E.
Solve the problem.A school library has $27,000 to spend on new books among the four categories of biology, chemistry, physics, and mathematics. If the amount spent on biology books is to be the same as the amount spent on chemistry books and if the amount spent on mathematics books is to be the same as the total spent on chemistry and physics books, how can the money be distributed among the four types of books? (Let x denote the amount spent on biology books, y the amount spent on chemistry books, z the amount spent on physics books, and w the amount spent on mathematics books. Let all amounts be in dollars, and let w be the parameter.)
A. x = 27,000 + w, y = 27,000 + w, z = w - 27,000,
B. x = 27,000 - 3w, y = 27,000 - 3w, z = 4w - 27,000,
C. x = 27,000 - w, y = 27,000 - w, z = 2w - 27,000,
D. x = 27,000 - 2w, y = 27,000 - 2w, z = 3w - 27,000,