The number of bacteria in a refrigerated yogurt is given by N(T) = 29T2 – 106T + 93, when 3 < T < 33 and where T is the temperature of the yogurt. When the yogurt is removed from the refrigerator, the temperature is given by the equation T(t) = 9t + 1.2 , where t is the time (in hours) it's been outside of the refrigerator. a.) Write a formula for the composite function N(T(t)): N(T(t)) = | 2349t2 – 327.6t + 7.56 Part 2 of 2 b.) Find the number of bacteria after 3 hours. Round your answer to the nearest whole number. bacteria
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![The number of bacteria in a refrigerated yogurt is given by N(T) = 29T2 – 106T + 93, when 3 <T < 33
, and where T is the temperature of the yogurt.
When the yogurt is removed from the refrigerator, the temperature is given by the equation T(t) = 9t + 1.2
where t is the time (in hours) it's been outside of the refrigerator.
a.) Write a formula for the composite function N(T(t)):
N(T(t)) =
2349t2 – 327.6t + 7.56
Part 2 of 2
b.) Find the number of bacteria after 3 hours. Round your answer to the nearest whole number.
bacteria](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1a9591e-5abe-44ae-920a-861eaddd4e50%2Ff8725020-2668-4f4f-b2f5-29dcaad348af%2Fllvaq3b_processed.png&w=3840&q=75)
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