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3 years ago

I need help on this question

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

5 0

Answer:

the first one

Step-by-step explanation:

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A small military base housing 1,000 troops, each of whom is susceptible to a certain virus infection. Assuming that during the c

slava [35]

Answer:

$I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

Step-by-step explanation:

The rate of infection is jointly proportional to the number of infected troopers and the number of non-infected ones. It can be expressed as follows:

$\frac{dI}{dt}=a*I*(1000-I)$

Rearranging and integrating

$\frac{dI}{dt}=a*I*(1000-I)\\\\\frac{dI}{I*(1000-I)}=a*dt\\\\\int\frac{dI}{I*(1000-I)}=\int a*dt\\\\-\frac{ln(1000/I-1)}{1000}+C=a*t$

At the initial breakout (t=0) there was one trooper infected (I=1)

$-\frac{ln(1000/1-1)}{1000}+C=0\\\\-0,006906755+C=0\\\\C=0,006906755$

In two days (t=2) there were 5 troopers infected

$-\frac{ln(1000/5-1)}{1000}+0,006906755=a*2\\\\-0,005293305+0,006906755=2*a\\a = 0,00161345 / 2 = 0,000806725$

Rearranging, we can model the number of infected troops (I) as

$-\frac{ln(1000/I-1)}{1000}+0,006906755=0,000806725*t\\\\-\frac{ln(1000/I-1)}{1000}=0,000806725*t-0,006906755\\-ln(1000/I-1)=0,806725*t-0.6906755\\\\\frac{1000}{I}-1=exp^{0,806725*t-0.6906755} \\\\\frac{1000}{I}=exp^{0,806725*t-0.6906755}+1\\\\I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

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2 years ago

The ideal gas law relates the pressure P , volume V , and temperature T of a fixed number of molecules of a gas in a container v

pochemuha

Answer:

K would be 375.

Step-by-step explanation:

You take the number you already have and divide it by the new number its giving. (0.06)

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3 years ago

Find the mean absolute deviation

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Answer: in statistics deviation is the difference between the value of one number in a series of numbers and the average value of all numbers in the series ( i hope this helped)

Step-by-step explanation:

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2 years ago

What would the answer for this be

Vedmedyk [2.9K]

Answer: 180

Step-by-step explanation: well if there 90 slices of ham than there would be 180 rolls because there a 2 times as much of slices of ham.

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3 years ago

Olivia places her pet frog on a line to observe the frog’s motion. The line is divided into sections that measure 1 centimeter e

zvonat [6]

Answer: 0

Explanation: Displacement is how far something or someone is from the starting point, in this case, the frog, so it moves 18F then 6B then 12B, so 0+18-6-12=0.

Hope this helps! :)

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3 years ago