document.write( "Question 200908: The half life of cobalt-60 is 5.3 years.
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document.write( "a.) find its decay rate
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document.write( "b.) If you initially have 15 grams of this material, how long until only 10 grams remain?\r
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document.write( "I am having trouble can someone help \n" );
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Algebra.Com's Answer #151226 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Remember, x = x(0) * 2^(-t/h),,,,where x(0) is initial amount at t=0,,t=time(yrs), and h = half life (yrs) \n" ); document.write( ". \n" ); document.write( "x = x(0) *2^(-t/5.3),,,,,,,(a) \n" ); document.write( ". \n" ); document.write( "subst in given values \n" ); document.write( ". \n" ); document.write( "10 = 15 *2^( - t/5.3) \n" ); document.write( ". \n" ); document.write( "10/15 =2/3 = 2^(-t/5.3) \n" ); document.write( ". \n" ); document.write( "take log both sides,,,,,remember log (a^b) = b(loga) \n" ); document.write( ". \n" ); document.write( "log (2/3) = log (2^(-t/5.3) ) = (-t/5.3)log2 \n" ); document.write( ". \n" ); document.write( "log(2/3) / log2 = (-t/5.3) \n" ); document.write( ". \n" ); document.write( "-.585 = - t/5.3 \n" ); document.write( ". \n" ); document.write( "3.10 = t,,,,,,,,,,(b) \n" ); document.write( ". \n" ); document.write( "check \n" ); document.write( ". \n" ); document.write( "10 = 15 *2^(-3.1/5.3) =10,,,,,,ok \n" ); document.write( ". \n" ); document.write( " |