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3 years ago

X/10=6/15 what is x?

Mathematics

2 answers:

Ivahew [28]3 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{x}{10} = \frac{6}{15}$

Cross-multiplying will give us the following:

$15x = 60$

Dividing both sides by $15$ will give us our answer:

$x = 4$

Gelneren [198K]3 years ago

5 0

Answer:x=4

Step-by-step explanation:

X/10=6/15

Cross multiply

15x=60

x=4

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a) The implied differential equation is $\frac{dN}{725 - N} = kdt$

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Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, $\frac{dN}{dt} \alpha (725 - N(t))$

$\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt$

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$\int {\frac{1 }{725 - N}} \, dN = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}$

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When t = 3, N = 650

$650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49$

The equation for the population becomes:

$N = 725 - 325 e^{-0.49t}$

At t = 5, the population becomes:

$N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697$

N(5) = 700 ( to the nearest 50)

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