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Concept explainers
Richter Scale The Richter scale is used to measure the intensity of earthquakes. The Richter scale rating of an earthquake is given by the formula
a. The San Francisco earthquake of 1906 is estimated to have registered
b. The Japan earthquake of 2011 registered 9.0 on the Richter scale. Compare the two: The energy released in the 1906 earthquake was what percentage of the energy released in the 2011 quake?
c. Solve the equation given above for E in terms of R.
d. Use the result of part (c) to show that if two earthquakes registering
e. Fill in the blank: If one earthquake registers 2 points more on the Richter scale than another, then it releases __________times the amount of energy.
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Chapter 2 Solutions
Bundle: Applied Calculus, Loose-leaf Version, 7th + Webassign Printed Access Card For Waner/costenoble's Applied Calculus, 7th Edition, Single-term
- In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter scale. In 1989, the Loma Prieta earthquake also affected the San Francisco area, and measured 6.9 on the Richter scale. Compare the intensities of the two earthquakes.arrow_forwardWhat type (s) of translation(s), if any, affect the range of a logarithmic function?arrow_forwardRichter Scale The Richter scale provides a measure of the magnitude of an earthquake. In fact, the largest Richter number M ever recorded for an earthquake was 8.9 from the 1933 earthquake in Japan. The following formula shows a relationship between the amount of energy released and the Richter number. M=23logE0.007, Where E is measured in kilowatt-hours. Source: Mathematics Teacher. a. For the 1933 earthquake in Japan, what value of E gives a Richter number M=8.9?. b. If the average household uses 247 kWh per month, how many months would the energy released by an earthquake of this magnitude power 10 million household? c. Find the rate of change of the Richter number M with respect to energy when E=70,000 kWh. d. What happens to dM/dE as E increases?arrow_forward
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