document.write( "Question 1199030: The half life of a certain isotope is 8.5 hours. If we have a sample of 20 ounces of that isotope, how much of it will remain after one full day?\r
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document.write( "The correct answer is one of the following. Which one is correct?\r
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document.write( "A) 0.28 ounces \r
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document.write( "B) 0.14 ounces \r
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document.write( "C) 1.41 ounces \r
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document.write( "D) 2.82 ounces \n" );
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Algebra.Com's Answer #832931 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Half-life Formula \n" ); document.write( "y = a*(0.5)^(x/H)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have: \n" ); document.write( "a = 20 = starting amount in ounces \n" ); document.write( "H = 8.5 = half-life in hours \n" ); document.write( "x = 24 = number of hours \n" ); document.write( "y = number of ounces left after x hours\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, \n" ); document.write( "y = a*(0.5)^(x/H) \n" ); document.write( "y = 20*(0.5)^(24/8.5) \n" ); document.write( "y = 2.82528945857332 \n" ); document.write( "y = 2.83 \n" ); document.write( "After a full 24 hours, there should be about 2.83 ounces of material remaining.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It appears there might be some rounding error either on my part, or perhaps your teacher made a typo somewhere. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The closest value to this is D) 2.82 ounces which is likely the final answer. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |