Answer:
P = 6200 / (1 + 5.2e^(0.0013t))
increases the fastest
Step-by-step explanation:
dP/dt = 0.0013 P (1 − P/6200)
Separate the variables.
dP / [P (1 − P/6200)] = 0.0013 dt
Multiply the left side by 6200 / 6200.
6200 dP / [P (6200 − P)] = 0.0013 dt
Factor P from the denominator.
6200 dP / [P² (6200/P − 1)] = 0.0013 dt
(6200/P²) dP / (6200/P − 1) = 0.0013 dt
Integrate.
ln│6200/P − 1│= 0.0013t + C
Solve for P.
6200/P − 1 = Ce^(0.0013t)
6200/P = 1 + Ce^(0.0013t)
P = 6200 / (1 + Ce^(0.0013t))
At t = 0, P = 1000.
1000 = 6200 / (1 + C)
1 + C = 6.2
C = 5.2
P = 6200 / (1 + 5.2e^(0.0013t))
You need to change the exponent from negative to positive.
The inflection points are where the population increases the fastest.
Answer:
The answer is in step-by-step explanation
Step-by-step explanation:
3 x + y + 3 z = 4
4 x - y + 2 z = 5
x - 2 y - z = 0
Answer:
∠6 > ∠3 is TRUE.
Step-by-step explanation:
We know that acute angle is less than 90 degree while obtuse angle is more than 90 degree. By looking at the given angles, we can easily determine which angle is obtuse or acute. then we can decide which angle is bigger to find the answer.
∠10 > ∠7
FALSE;
Because∠10 is acute while ∠7 is obtuse.
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∠6 > ∠3
TRUE;
Because∠3 is acute while ∠6 is obtuse.
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∠9 > ∠11
FALSE;
Because∠9 is acute while ∠11 is obtuse.
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∠8 > ∠11
FALSE;
Because∠8 is acute while ∠11 is obtuse.
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The answer to the question is 6.5
Answer:
x = 27
Step-by-step explanation:
2/3x -2= 16
+2 +2
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2/3x = 18
multiply by 3 on both sides
2x = 54
divide by two on both sides
x= 27