Math

The number N of bacteria in a refrigerated food is given by
N(T) = 10T2 − 20T + 700, 1 ¡Ü T ¡Ü 20where 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) = 5t + 2, 0 ¡Ü t ¡Ü 6 where t is the time in hours.
(a) Find the composition N(T(t)).
N(T(t)) = 1
, 0 ¡Ü t ¡Ü 6

asked by Kristi
  1. N(t) = 10t^2 - 20t + 700
    N(T(t)) = 10T^2 - 20T + 700
    = 10(5t+2)^2 - 20(5t+2) + 700
    = 250t^2 + 100t + 700

    posted by Steve
  2. rff

    posted by tj

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math (Quadractic function)

    Hi can you help me find the solution for this one? I have the answers at the end but I want to study how did it end with that. Thanks :) The number N of bacteria in a refrigerated food is given by N(T) = 10T^2 - 20T + 600, 1
  2. Childhood ed

    Pasteurization of food. A. means keeping food refrigerated. B. destroys all bacteria,viruses and mold. C. destroys most disease-producing bacteria. D. keeps it looking and tasting good.
  3. Math Word Problem

    At 6am a few bacteria fall into a can of syrup in a broken garbage bag. The conditions of warmth, moisture, and food are perfect for growth and the population doubles every 20 minutes. By 6pm the bacteria are overcrowded and dry
  4. AP Environmental Science

    I have a word problem about exponential growth. The problem is... "At 6am a few bacteria fall into a can of syrup in a broken garbage bag. The conditions of warmth, moisture, and food are perfect for growth and the population
  5. College Algebra

    The number of bacteria in a certain culture increased from 500 to 1000 between 7:00 A.M. and 9:00 A.M. Assuming growth is exponential, the number f(t) of bacteria t hours after 7:00 A.M. is given by f(t) = 500(2)^t/2. (a) Estimate
  6. precalculus

    A bacteria culture initially contains 1500 bacteria and doubles every half hour. a) Find an expression for the number of bacteria after t hours. Q(t)= b) The number of bacteria after 20 minutes is (the answer must be an integer)
  7. math

    The number of bacteria in a culture is modeled by: n(t) = 1330e^(0.42t) (a) The initial number of bacteria is: (b) The relative rate of growth of this bacterium population is: (c) The number of bacteria after 3 hours is: (d) After
  8. Math

    he number of bacteria in a culture is modeled by n(t)=1710e071t (a) The initial number of bacteria is (b) The relative rate of growth of this bacterium population is (c) The number of bacteria after 3 hours is (d) After how many
  9. math

    The number of bacteria in a culture is modeled by n(t)=1710e071t (a) The initial number of bacteria is (b) The relative rate of growth of this bacterium population is (c) The number of bacteria after 3 hours is (d) After how many
  10. Algebra

    (I skipped the lengthy work problem background as it is irrelevant) The number of bacteria needed to break down an oil spill is 1000000 per millitre of oil. The bacteria double in number every two days.The starting concentration

More Similar Questions