document.write( "Question 1176054: I tried to do this problem with the example from the site, yet couldn't find the right answer. Please I need help on this!!\r
\n" );
document.write( "\n" );
document.write( "A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit. Give answers accurate to at least 2 decimal places.\r
\n" );
document.write( "\n" );
document.write( "(a) If the temperature of the turkey is 150 Fahrenheit after half an hour, what is its temperature after 45 minutes?\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "(b) When will the turkey cool to 100 Fahrenheit?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #801972 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! F(t)=Fs+(Fo-Fs)*e^(-kt) \n" ); document.write( "150=75+(185-75)e^(-30k) \n" ); document.write( "75=110e^(-30k) \n" ); document.write( "(75/110)=15/22=e^(-30k) \n" ); document.write( "ln both sides \n" ); document.write( "-0.3830=-30k \n" ); document.write( "0.012767=k, but round at the end \n" ); document.write( "- \n" ); document.write( "F(45)=75+(110)*e^(-40*0.012767) \n" ); document.write( "e^(-0.51067)=0.60001 \n" ); document.write( "110*0.60001=66.00 \n" ); document.write( "add to 75 and temperature is 141.00 degrees \n" ); document.write( "- \n" ); document.write( "100=75+110*e^(-0.012767*t) \n" ); document.write( "25/110=5/22=e^(-0.012767*t) \n" ); document.write( "ln both sides \n" ); document.write( "-1.4816=-0.012767t \n" ); document.write( "t=116.05 minutes\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |