Richter Scale The Richter scale provides a measure of the

Chapter 4, Problem 67A

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Richter 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. 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 households?________________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?

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