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The Number N of Bacteria in a Refrigerated Food Is N(T)=10T220T+600,1T20N ( T ) = 10 T ^ { 2 } - 20 T + 600,1 \leq T \leq 20

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The number N of bacteria in a refrigerated food is given by N(T) =10T220T+600,1T20N ( T ) = 10 T ^ { 2 } - 20 T + 600,1 \leq T \leq 20 where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by T(t) =3t+2,0t6T ( t ) = 3 t + 2,0 \leq t \leq 6 where t is the time in hours. Find the bacteria count after 0.5 hour.


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