3x 7 y now substitute this into the second equation 2

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Unformatted text preview: There are many different ways of computing this based on a variety of different quantities. We are going to take a quick look at the formula that uses the energy released during an earthquake. If E is the energy released, measured in joules, during an earthquake then the magnitude of the earthquake is given by, æEö 2 M = log ç ÷ 3 è E0 ø where E0 = 104.4 joules. Example 5 If 8 ´ 1014 joules of energy is released during an earthquake what was the magnitude of the earthquake? Solution There really isn’t much to do here other than to plug into the formula. æ 8 ´ 1014 ö 2 2 2 M = log ç = log ( 8 ´ 109.6 ) = (10.50308999 ) = 7.002 4.4 ÷ 3 3 è 10 ø3 So, it looks like we’ll have a magnitude of about 7. © 2007 Paul Dawkins 313 http://tutorial.math.lamar.edu/terms.aspx College Algebra Example 6 How much energy will be released in an earthquake with a magnitude of 5.9? Solution In this case we will need to solve the following equation. 2 æEö 5.9 = log ç 4.4 ÷ 3 è 10 ø We saw how...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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