document.write( "Question 1189653: Hi, any chance someone could help me out with this problem? \r
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document.write( "https://drive.google.com/file/d/1VjNtgtaZvxc99w-Ig2_eRBl6guaa_qrw/view?usp=sharing \n" );
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Algebra.Com's Answer #821070 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the formula is e(m) = (10^1.5)^m. \n" ); document.write( "e(m) is the energy in kilowatt hours. \n" ); document.write( "m is the magnitude.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8a) \n" ); document.write( "formula is e(9) = (10^1.5)^9 = 10^(1.5*9) = 3.16227766 * 10^13. \n" ); document.write( "round to 3.2 * 10^13.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8b) \n" ); document.write( "formula is e(6.9) = (10^1.5)^6.9 = 10^(1.5*6.9) = 2.238721139 * 10^10. \n" ); document.write( "round to 2.2 * 10^10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8c) \n" ); document.write( "(3.16227766 * 10^13) / (2.238721139 * 10^10) = 1412.537545. \n" ); document.write( "round to 1413.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8d) \n" ); document.write( "earthquake released 3,981,000 kilowatts of energy. \n" ); document.write( "formula of e(m) = (10^1.5)^m becomes: \n" ); document.write( "3,981,000 = (10^1.5)^m = 10^(1.5*m) \n" ); document.write( "take the log of both sides of the equation to get: \n" ); document.write( "log(3,981,000) = log(10^(1.5*m)) \n" ); document.write( "this becomes: \n" ); document.write( "log(3,981,000) = 1.5 * m * log(10) which becomes: \n" ); document.write( "log(3,981,000) = 1.5 * m \n" ); document.write( "solve for m to get: \n" ); document.write( "m = log(3,981,000) / 1.5 = 4.399994785. \n" ); document.write( "round to 4.4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let me know if you have any questions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "theo\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |