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swat32
3 years ago
9

Explain the strategy you used to solve 287 divided into 41

Mathematics
1 answer:
Verdich [7]3 years ago
5 0
The answer is 7. I got this by putting the problem into an equation.287/41 when you do this you can then find how many times 41 go into 287 which is 7.
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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}

6 0
2 years ago
URGENT: Create a linear system whose ONLY SOLUTION is (3,13) . I just need the equations for f(x)=? , G(x)=? To get (3,13). ASAP
Otrada [13]

The solution of (3,13) means you need to create two lines that satisfy x = 3 and y = 13

The two lines can be anything as long as they give this solution

For example, if you wrote x + y = 16 (you know their values already)

Then write another y - x = 10

From here you have your equations, turn them into the f(x) form.

x + y = 16 can be turned into y = 16 - x which is f(x)=16-x

y-x = 10 can be turned into y = 10 + x which is g(x)=10 + x

8 0
2 years ago
H + 3 = -13 <br> please show work
cricket20 [7]

H= -16

Step-by-step explanation:

4 0
2 years ago
Solve vertex form out <br> О=x^2 -4x -12
pochemuha

Answer:  (2,-16)

Step-by-step explanation: you have to rewrite it by using the vertex form (h,k)

3 0
3 years ago
..the cat and the hat to the pat in the rug on the hug
swat32

Answer:

uh get it i guess?

Step-by-step explanation:

yes

8 0
2 years ago
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