1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Contact [7]
3 years ago
14

How do you do the last two questions?

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

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.

You might be interested in
Drag each expression to the correct location in the equation. Not all expressions will be used.
miskamm [114]

Gotta add a picture to show us what you want us to do.

7 0
3 years ago
Read 2 more answers
Please solve for all three parts of the question.
neonofarm [45]

Answer:

f(-5) = 25

f(0) = -2

f(5) = 16

Step-by-step explanation:

Given the functions;

To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero

at where x < 0, f(x) = x^2

f(-5) = (-5)^2

f(-5) = 25

b) For f(0), where the point where x = 0, f(x)= -2

Hence the value of f(o) = -2

c) For f(5), the function where x > 5 is f(x) = 2x+6

f(x) = 2x+6

f(5) = 2(5)+6

f(5) = 16

5 0
3 years ago
For the function of F defined by f (x) = x + 8. what is the value of x when f (x) = 10
melomori [17]

Answer:

x = 2

Step-by-step explanation:

f(x) = x + 8

f(x) = 10

10 = x + 8

minus 8 from the both sides

10 - 8 = x

2 = x

x = 2

7 0
3 years ago
What is 12 1/2 as an improper fraction??
Olegator [25]
<span>To convert 12.5 to a fraction, consider the decimal portion of the number, .5. Since .5 is in the tenth spot of the decimal, it may be read as five-tenths, or 5/10. To reduce it to lowest terms, find the lowest common denominator, 5, and divide each by that number to get 1/2, or one-half. Thus, the number is now 12 1/2. To convert this mixed number into an entirely rational fraction, multiply the whole number, 12, by the denominator, 2, to get 24, then add the numerator, to end up with 25. This is the new numerator, so the rational number is 25/2. To check the work, divide 25 by 2 on a calculator or as a decimal equation, yielding 12.5.</span>
5 0
3 years ago
May somebody help me please
11Alexandr11 [23.1K]

Answer:

c  is less than or equal to ( - 14/17)

Step-by-step explanation:

the negative is the whole fraction

Im not 100% sure if this is the answer you were looking for or not

6 0
3 years ago
Other questions:
  • Rewrite the expression with rational exponents as a radical expression by extending the properties of Internet exponents
    11·1 answer
  • 11 times 12 equals 10 plus 1 times 10 + 2 what property does this demonstrates
    10·1 answer
  • A pillow that usually costs $20 is marked down 45%.
    13·2 answers
  • Your friend says the value of the 7 in the hundredths place of 0.877 is 10 times as great as the 7 in the thousandths
    12·1 answer
  • What is 20% of $2,500 how much money has it rased
    15·1 answer
  • PLEASE HELP!! ILL MARK BRAINLYEST!!!
    12·1 answer
  • Plesse help me:) ive been stuck on this for a while
    12·1 answer
  • What is the solution set represented by this number line graph?
    13·1 answer
  • Prove the circle centered at A la congruent to the circle centered at C. ​
    9·1 answer
  • Simplify 4^2+6(.5)-2^
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!