Divide and simplify.
÷ 3
A. 8
B.
C.
D.
Answer: B
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Solve the problem.In a complete graph with 16 vertices (A through P), the total number of Hamilton paths that start at vertex A and end at vertex P is
A. 17!. B. 15!. C. 14!. D. 16!. E. none of these
Find the indicated rate.The city where Lu Na lives has a population of 2,265,900 people and an area of 108.6 square miles. What is the rate of number of people per square mile (the population density)?
A. 246,076,740 people/sq mi B. 0.0000479 people/sq mi C. 21,908 people/sq mi D. 20,865 people/sq mi
Provide an appropriate response.When any nonzero number is divided by 0, the result is .
A. impossible to compute B. 0 C. the nonzero number D. 1
Solve the problem.In one study, a type of fish was exposed to a toxin. The table lists toxin concentrations in the fish after a certain number of hours. The concentration C of the toxin in the fishes' bloodstream was measured in micrograms of toxin per gram of fish after x hours of exposure. (i) Describe the relationship between x and C; (ii) Use regression to find a cubic polynomial function f(x) that models the data; (iii) graph C and the data; (iv) Concentrations above 30 are lethal to the fish. Determine how many hours of exposure it takes for this to occur.
A. (i) As x increases, C increases;
(ii) f(x) ? 0.38x3 - 4.35x2 + 22.97x - 33.40
(iii)
(iv) x ? 6.0 (approximately)
B. (i) As x increases, C increases;
(ii) f(x) ? 0.28x3 - 4.35x2 + 24.97x - 33.40
(iii)
(iv) x ? 7.9 (approximately)
C. (i) As x increases, C increases;
(ii) f(x) ? 0.28x3 - 5.35x2 + 22.97x - 33.40
(iii)
(iv) x ? 6.2 (approximately)
D. (i) As x increases, C increases;
(ii) f(x) ? 0.38x3 - 5.35x2 + 24.97x - 33.40
(iii)
(iv) x ? 9.1 (approximately)