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2 years ago

GIVING OUT BRAINLIEST / 70 POINTS TO ANSWER

Mathematics

2 answers:

daser333 [38]2 years ago

8 0

Answer:

7a+b-9c+17d

Step-by-step explanation:

-5 ( a-2b+3c -4d) - (-3) (4a -3b+2c-d)

Distribute

-5a+10b-15c+20d+12a-9b+6c-3d

Combine like terms

7a+b-9c+17d

dalvyx [7]2 years ago

5 0

7a + b - 9c + 17d

step-by-step explanation

(- 5)( a - 2b +3c - 4d ) - (-3)( 4a - 3b+2c - d )

- 5( a - 2b + 3c - 4d ) - (-3)( 4a - 3b + 2c - d)

Using Distributive property

- 5a + 10b - 15c + 20d + 12 a - 9b + 6c - 3d

Arranging like terms together

- 5a + 12a + 10b - 9b -15c + 6c + 20d -3d

7a + b - 9c + 17d

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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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Answer:

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This will give you .0825.

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Step-by-step explanation:

0.8889 is the 8/9 as a decimal rounded to 3 decimal places

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