The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log 
, where xo = 10-3.Find the magnitude (to one decimal place) of an earthquake whose seismographic reading is 2000 millimeters at a distance of 100 kilometers from its epicenter.
What will be an ideal response?
The magnitude of the earthquake measures 6.3 on the Richter scale.
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Solve the problem.Find the foci and asymptotes of the following hyperbola:
- 
= 1
A. Foci: (-5, 0), (5, 0); Asymptotes: y = 
x, y = - 
x
B. Foci: (0, -5), (0, 5); Asymptotes: y = 
x, y = - 
x
C. Foci: (0, -3), (0, 3); Asymptotes: y = 
x, y = - 
x
D. Foci: (-5, 0), (5, 0); Asymptotes: y = 
x, y = - 
x
Solve the problem."If there is a choice that in a head-to-head comparison is preferred by the voters over every other choice, then that choice should be the winner of the election." This fairness criterion is called the
A. mononocity criterion. B. majority criterion. C. independence of irrelevant alternatives criterion. D. Condorcet criterion. E. none of these
Use the properties of parallel lines to solve the problem.If m 
n and m?6 = 128°, what are the measures of the other angles?
A. m?2 = m?4 = m?8 = 128° , m?1 = m?3 = m?5 = m?7 = 52° B. m?5 = m?7 = m?8 = 128° , m?1 = m?2 = m?3 = m?4 = 52° C. m?2 = m?4 = m?8 = 128° , m?1 = m?3 = m?5 = m?7 = 38° D. m?2 = m?4 = m?8 = 128° , m?1 = m?3 = m?5 = m?7 = 62°
Solve graphically. Round solutions to three decimal places, where appropriate.2x2 + 4x = 5
A. -8.612, 2.612 B. -2.871, 0.871 C. -3.445, 1.045 D. -15.158, 4.598