Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![Back to earthquakes.
earthquake, and suppose Ao is the seismic wave amplitude of the smallest
measureable quake. Then the magnitude of the quake in question (as measured
on the Richter scale) is defined logarithmically in terms of the ratio of these
amplitudes:
Suppose
Richter (1900-1985) of
a developed his scale in
a mathematical device
re earthquakes.
Magnitude of an Earthquake
M = log A/Ao
Find the magnitude of the 1989 Loma Prieta (San Francisco area) quake, whose
seismic wave amplitude ratio was A/Ao = 12,590,000.
EXAMPLE 2
M = log 12,590,000 = 7.1
Use log button
Solution
Do problems 21-30.
Each one unit increase in the magnitude of a quake produces a ten-fold
increase in its intensity (ground shaking). Thus, an earthquake of magnitude 8
has 10 times the intensity of a magnitude 7 earthquake, 100 times the intensity of
magnitude 6 quake, and 1000 times the intensity of a magnitude 5 quake. Shown
below is a list of notable earthquakes.
Year Place
Magnitude Comments
2004 Indian Ocean near Sumatra
9.3
Caused great tsunami
1556 China
8.5
830,000 people killed
1964 Alaska
8.5
Strongest U.S. quake
1906 San Francisco
8.2
City burned down
1985 Mexico City
8.1
7200 people killed
1995 Kobe, Japan
7.2
1989
Loma Prieta (S.F. area)
7.1
"World Series" quake
1988 Armenia
6.9
1994 Northridge, California
6.7
1971 Sylmar, California
6.5
Logarithms are used in chemistry to measure the pH of a solution, which
tells how acidic it is. The acidity is determined by the hydrogen ion H+. The
concentration of this ion in solution is written [H+] and is measured in moles per
liter. (You need not know what a mole is to determine pH.) The pH is defined
logarithmically as follows:
n potential.
pH =
-log [H*]
Pure water has pH = 7 and is called neutral. Any pH less than 7 is called acidic
and any pH more than 7 is called basic (or alkaline).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e776a1d-b114-4eaf-9ad8-7d46fc21218c%2F3e81116c-db15-4caa-81fa-7e516f608fa4%2F5kb1js_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Back to earthquakes.
earthquake, and suppose Ao is the seismic wave amplitude of the smallest
measureable quake. Then the magnitude of the quake in question (as measured
on the Richter scale) is defined logarithmically in terms of the ratio of these
amplitudes:
Suppose
Richter (1900-1985) of
a developed his scale in
a mathematical device
re earthquakes.
Magnitude of an Earthquake
M = log A/Ao
Find the magnitude of the 1989 Loma Prieta (San Francisco area) quake, whose
seismic wave amplitude ratio was A/Ao = 12,590,000.
EXAMPLE 2
M = log 12,590,000 = 7.1
Use log button
Solution
Do problems 21-30.
Each one unit increase in the magnitude of a quake produces a ten-fold
increase in its intensity (ground shaking). Thus, an earthquake of magnitude 8
has 10 times the intensity of a magnitude 7 earthquake, 100 times the intensity of
magnitude 6 quake, and 1000 times the intensity of a magnitude 5 quake. Shown
below is a list of notable earthquakes.
Year Place
Magnitude Comments
2004 Indian Ocean near Sumatra
9.3
Caused great tsunami
1556 China
8.5
830,000 people killed
1964 Alaska
8.5
Strongest U.S. quake
1906 San Francisco
8.2
City burned down
1985 Mexico City
8.1
7200 people killed
1995 Kobe, Japan
7.2
1989
Loma Prieta (S.F. area)
7.1
"World Series" quake
1988 Armenia
6.9
1994 Northridge, California
6.7
1971 Sylmar, California
6.5
Logarithms are used in chemistry to measure the pH of a solution, which
tells how acidic it is. The acidity is determined by the hydrogen ion H+. The
concentration of this ion in solution is written [H+] and is measured in moles per
liter. (You need not know what a mole is to determine pH.) The pH is defined
logarithmically as follows:
n potential.
pH =
-log [H*]
Pure water has pH = 7 and is called neutral. Any pH less than 7 is called acidic
and any pH more than 7 is called basic (or alkaline).
Transcribed Image Text:21. 1933 Long Beach, CA, A/Ao = 2,510,000
%3D
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