document.write( "Question 195269This question is from textbook
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document.write( ": A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours? Here is the answer, I was told I have a typo in it, cannot find it.\r
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document.write( " Growth Formula
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document.write( "A(t)=Ao(2)^(t4) where t is the number of minutes after t=0\r
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document.write( "A(300)= 1*2^(300/4)
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document.write( "A(300)=2^(75)
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document.write( "A(300)= 3.77x10^22 cells\r
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document.write( "Thanks \n" );
document.write( "
Algebra.Com's Answer #146459 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours? Here is the answer, I was told I have a typo in it, cannot find it.\r \n" ); document.write( "\n" ); document.write( " Growth Formula \n" ); document.write( "A(t)=Ao(2)^(t4) where t is the number of minutes after t=0\r \n" ); document.write( "\n" ); document.write( "A(300)= 1*2^(300/4) \n" ); document.write( "A(300)=2^(75) \n" ); document.write( "A(300)= 3.77x10^22 cells\r \n" ); document.write( "\n" ); document.write( "Thanks\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "At the beginning there is 1, or 2^0 cells. \n" ); document.write( "At the instant the 1st four minutes is up, there will be 2, or 2^1 cells. \n" ); document.write( "At the instant the 2nd four minutes is up, there will be 4, or 2^2 cells. \n" ); document.write( "At the instant the 3rd four minutes is up, there will be 8, or 2^3 cells. \n" ); document.write( "At the instant the 4th four minutes is up, there will be 16, or 2^4 cells. \n" ); document.write( "At the instant the 5th four minutes is up, there will be 8, or 2^5 cells. \r \n" ); document.write( "\n" ); document.write( "Every hour consists of 15 four-minute periods, since 60 divided by 4 is 15.\r \n" ); document.write( "\n" ); document.write( "So 5 hours consiste of 5x15 or 75 four-minute periods, therefore\r \n" ); document.write( "\n" ); document.write( "At the instant the 5th four minutes is up, there will be 8, or 2^75 cells.\r \n" ); document.write( "\n" ); document.write( "So the answer is 2^75 which is a 23-digit number.\r \n" ); document.write( "\n" ); document.write( "So A(300)=2^(75)\r \n" ); document.write( "\n" ); document.write( "would be the correct choice. The 300 is because there are 300 minutes \n" ); document.write( "in 5 hours.\r \n" ); document.write( "\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |