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3 years ago

CAN SOMEONE HELP ME PLS?

Mathematics

1 answer:

Dmitrij [34]3 years ago

8 0

I think the answer is D it’s a map test right? so your grade doesn’t matter

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One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the populatio

kenny6666 [7]

Answer:

Therefore , $y= \frac{Ae^{kt}}{1+Ae^{kt} }$

Step-by-step explanation:

The fraction of population who have heard rumor = y

The fraction of population who haven't heard rumor = 1-y

The rate of of spread (y'(t)) is proportional to the product of the fraction of population who have heard rumor the fraction of population who have heard rumor.

Therefore

y'(t) ∝ y (1-y)

⇒ y'(t) =k y (1-y) [ k = constant of proportional]

$\Rightarrow \frac{dy}{dt}=ky(1-y)$

$\Rightarrow \frac{dy}{y(1-y)}=k \ dt$

Integrating both sides

$\Rightarrow \int\frac{dy}{y(1-y)}=\int k \ dt$

$\Rightarrow \int \frac{dy}{y}+\int\frac{dy}{1-y}=\int k \ dt$ $[\because \frac{1}{y(1-y}=\frac{1}{y}+\frac{1}{1-y} ]$

$\Rightarrow ln \ y- ln \ |1-y| = kt +c$ [ c = arbitrary constant]

$\Rightarrow ln|\frac{y}{1-y}|=kt +c$

$\Rightarrow \frac{y}{1-y}= e^{kt+c}$

$\Rightarrow \frac{y}{1-y}= Ae^{kt}$ [ Here $e^c=A$ ]

$\Rightarrow y = Ae^{kt}(1-y)$

$\Rightarrow y = Ae^{kt}-y Ae^{kt}$

$\Rightarrow y+y Ae^{kt} = Ae^{kt}$

$\Rightarrow y(1+Ae^{kt} )= Ae^{kt}$

$\Rightarrow y= \frac{Ae^{kt}}{1+Ae^{kt} }$

Therefore , $y= \frac{Ae^{kt}}{1+Ae^{kt} }$

5 0

3 years ago

What would be the probability for two even numbers.?

frozen [14]

Sorry, I didn't read the question fully. I don't know how to do this. Please disregard my previous answer.

6 0

4 years ago

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Is 7900 100 times as much as 79

Cloud [144]

Answer:

Yes

Step-by-step explanation:

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3 years ago

Help, please!! Simplify the equation:

BaLLatris [955]

Answer:

-6 + 12x

Explanation:

Good luck. Have a great day.

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2 years ago

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A bus has 15 passengers. At the first stop, 5 passengers board the bus and 2 passengers get off the bus. At the second stop, 3 p

andrezito [222]

Stop 1 : -

15 + 5 = 20

20 - 2 = 18

So, on the first stop 18 passengers were left on the bus going to the next stop.

Stop 2 : -

18 + 3 = 21

21 - 15 = 6

So, 6 passengers get off at the 2nd stop.

Hope I helped ya!!

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3 years ago