Write the interval as an inequality involving x, and illustrate the inequality using the real number line.[-7, 9]
A. -7 ? x ? 9
B. -7 ? x < 9
C. -7 < x ? 9
D. -7 < x < 9
Answer: A
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Refer to the weighted voting system and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)The weight of the coalition {P1, P3, P4} is
A. 41. B. 43. C. 32. D. 25. E. none of these
Find the domain of the composite function (f ? g)(x). Write the domain in interval notation.f(x) = , g(x) =
A. (-?, -10) ? (-10, -9) ? (-9, 0) ? (0, ?) B. (-?, -10) ? (-10, 0) ? (0, ?) C. (-?, -9) ? (-9, 0) ? (0, ?) D. (-?, ?)
Experiments conducted by A. J. Clark suggest that the response R(x) of a frog's heart muscle to the injection of x units of acetylcholine (as a percent of the maximum possible effect of the drug) may be approximated by the rational function
?
?
where b is a positive constant that depends on the particular frog. If a concentration of 20 units of acetylcholine produces a response of 40% for a certain frog, find the "response function" for this frog.
What will be an ideal response?
Divide.
A. 4.4 B. 0.44 C. 5.4 D. 44