A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}

Question

A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 2 hours, to the nearest whole number?

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Hồng Cúc 5 months 2021-08-28T10:44:20+00:00 2 Answers 7 views 0

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    0
    2021-08-28T10:45:23+00:00

    Answer:

    10077

    Step-by-step explanation:

    A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P

    t

    =P

    0

    ⋅2

    d

    t

    , where P_tP

    t

     is the population after t hours, P_0P

    0

     is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?

    P_0=5400

    P

    0

    =5400

    The initial population

    t=9

    t=9

    Time elapsed

    d=10

    d=10

    The doubling time

    P_t = P_0\cdot 2^{\frac{t}{d}}

    P

    t

    =P

    0

    ⋅2

    d

    t

    P_t=5400\cdot 2^\frac{9}{10}

    P

    t

    =5400⋅2

    10

    9

    Plug in

    P_t=10076.7563\approx10077

    P

    t

    =10076.7563≈10077

    Use parenthesis in the calculator for the exponent

    0
    2021-08-28T10:45:50+00:00

    Answer:

    45495

    Step-by-step explanation:

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )