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Elodia [21]
3 years ago
14

Hi I need help lol Find the measure of eg

Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:

12

Step-by-step explanation:

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Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t
WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.  

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}

Seperate the differential equation and solve for the constant C.

\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2}  }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}

You have 100 rodents when:

100=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{100} \\\\2t=98\\\\t=49\ months

You have 1000 rodents when:

1000=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{1000} \\\\2t=99.8\\\\t=49.9\ months

7 0
3 years ago
Whats is 1+1 <br><br> *i cant figure it out *
seropon [69]

Answer:

2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Hey can anyone help me with this question please and thank you !
Inessa [10]

Answer:

(6x-12)+(8x-4)=180

14x-16=180

14x=196

x=14

Step-by-step explanation:

3 0
3 years ago
Sadie started reading at 3:31 and finishes at 6:10. How long did Sadie read?
Valentin [98]

Answer:

2h and 39mins

Step-by-step explanation:

If you are unsure of these times questions. I suggest you draw a timeline! it helps! Trust me!!

6 0
2 years ago
What is the y-intercept of y=-3x-2
andrey2020 [161]

Answer:

the answer is 2.

Step-by-step explanation:

the basic form of this equation is y=mx+c where c is the y intercept and m is the gradient. c=2 so 2 is the y intercept

5 0
3 years ago
Read 2 more answers
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