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
What's the equation of a line that passes through points (–1, –5) and (1, 3)?
Dmitry_Shevchenko [17]

Answer:

y=4x-1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Question 8 of 10
gulaghasi [49]

Answer:

yr point is A

Step-by-step explanation:

If a point is on the bisector of an Angle , then it is equidistant from two sides .

The Meaning of Bisector is to divide something or anything into two equal Halves.

The Meaning of Bisector of any Angle means to divide that Angle into two equal Parts.

Option A

equidistant from the two sides of the angle.

i jst taken the quiz

5 0
3 years ago
Read 2 more answers
A triangle has an area of 100 square feet and a height of 5 feet
aleksandrvk [35]
The length would be 40 feet... 100*2=200/5=40
hope this helps!
4 0
3 years ago
Read 2 more answers
If f(x) = 3x^2 – 2 and g(x) = 2x + 4, find (f- g)(x).
Andreas93 [3]

Answer:

(f - g)(x) = 3x² - 2x - 6

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x² - 2

g(x) = 2x + 4

(f - g)(x) is f(x) - g(x)

<u>Step 2: Evaluate</u>

  1. Substitute:                    (f - g)(x) = 3x² - 2 - (2x + 4)
  2. Distribute -1:                 (f - g)(x) = 3x² - 2 - 2x - 4
  3. Combine like terms:    (f - g)(x) = 3x² - 2x - 6
5 0
3 years ago
A 12 cm by 20 cm painting hangs in a museum. The museum curator wants to hang other paintings in the gallery that are proportion
nata0808 [166]

Answer:

A. 1.5 cm by 2.5 cm

B. 27 cm by 45 cm

C. 9 cm by 15 cm

D. 30 cm by 50 cm

Step-by-step explanation:

The dimensions of the original painting = 12 cm by 20 cm painting

Hence, the proportion is:

12/20 = 0.6

Hence, we compare the options given in the question.

A. 1.5 cm by 2.5 cm

= 1.5/2.5 = 0.6 , option A is correct

B. 27 cm by 45 cm

27cm/45 cm = 0.6 Option B is correct

C. 9 cm by 15 cm

9cm/15cm = 0.6 , Option C is correct

D. 30 cm by 50 cm

30 cm /50 cm = 0.6 Option D is correct

E. 6 cm by 14 cm

6cm/14 cm = 0.4285714286

Option E is not correct

Therefore, Options A to D are the correct options

6 0
3 years ago
Other questions:
  • Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay.
    13·2 answers
  • Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find x
    9·1 answer
  • What is the correct order of operations for simplifying the expression (x+3)^2-(x^2+9)/2x^2?
    13·1 answer
  • A square is inscribed in a circle. If the area of the square is 9 in2, what is the ratio of the circumference of the circle to t
    15·1 answer
  • Markus receives dollar bills from his grandfathet for one week.On the first day he received $1; on the second day he received $2
    12·1 answer
  • 4/5 n = 1 - 1/5 n<br> solve for n:<br> please help
    15·2 answers
  • Anyone know how to solve this by Elimination Please and thanks ?
    5·1 answer
  • Johanna is online shopping for a dress she really wants. The original cost of the dress is $50. She saw that is was on sale for
    15·2 answers
  • What is -3x less than 12
    10·2 answers
  • A sports expert reports that there is a 0.49 probability that the wally like wizards will win their next games. interpret this s
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!