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
How are the triangles similar????? PLEASE
Diano4ka-milaya [45]

Answer:

The AA similarity postulate???

8 0
2 years ago
Which of the following expressions is true?
adoni [48]
It is B because 52 • 53 is 2756 which is greater than 55
6 0
2 years ago
What is 4m=68 as a equation
Blababa [14]
4 * m = 68
÷ 4     ÷ 4
m = 17
3 0
3 years ago
ASAP!!! Use the pythagorean theorem to prove that the point (√2/2, √2/2) lies on the unit circle. I need setup, explination, ans
docker41 [41]

Answer:

In brief, apply the pythagorean theorem to show that the distance between the point (\sqrt{2}/2,\sqrt{2}/2) and the origin is 1.

Step-by-step explanation:

The pythagorean theorem can give the distance between two points on a plane if their coordinates are known.

A point is on a circle if its distance from the center of the circle is the same as the radius of the circle.

On a cartesian plane, the unit circle is a circle  

  • centered at the origin (0,0)
  • with radius 1.

Therefore, to show that the point (\sqrt{2}/2,\sqrt{2}/2) is on the unit circle, show that the distance between (\sqrt{2}/2,\sqrt{2}/2) and (0,0) equals to 1.

What's the distance between (\sqrt{2}/2,\sqrt{2}/2) and (0,0)?

\displaystyle \sqrt{\left(\frac{\sqrt{2}}{2}-0}\right)^{2} + \left(\frac{\sqrt{2}}{2}-0\right)^{2}} = \sqrt{\frac{1}{2} + \frac{1}{2}}= \sqrt{1}= 1.

By the pythagorean theorem, the distance between (\sqrt{2}/2,\sqrt{2}/2) and the center of the unit circle, (0,0), is the same as the radius of the unit circle, 1. As a result, the point (\sqrt{2}/2,\sqrt{2}/2) is on the unit circle.

3 0
3 years ago
Pls dears TAKE LCM and SOLVE this question pls HELP​
ivanzaharov [21]

Answer:

L.C.M OF

1) 1/2+1/3+1/5 IS THE L.C.M OF THEIR DINOMINATORS=30

THEREFORE,(15+10+6)/30=31/30

2)1/3 ÷1/2+1/4

=1/3×2/1 +1/4 (D.M.A.S)

=2/3+1/4

=L.CM OF DINOMENATORS 12 AS L.C.M OF 3 AND 4.

(8+3)/12

=11/12

Step-by-step explanation:

<em>Q</em><em>U</em><em>E</em><em>S</em><em>T</em><em>I</em><em>O</em><em>N</em><em> </em><em>3</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>4</em><em> </em><em>Q</em><em>U</em><em>E</em><em>D</em><em>T</em><em>I</em><em>O</em><em>N</em><em>S</em><em> </em><em>A</em><em>R</em><em>E</em><em> </em><em>N</em><em>O</em><em>T</em><em> </em><em>F</em><em>U</em><em>L</em><em>L</em><em>Y</em><em> </em><em>S</em><em>E</em><em>E</em><em>N</em><em>.</em><em>.</em>

<em>S</em><em>E</em><em>E</em><em> </em><em>S</em><em>O</em><em>L</em><em>U</em><em>T</em><em>I</em><em>O</em><em>N</em><em> </em><em>O</em><em>F</em><em> </em><em>Q</em><em>.</em><em>1</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>2</em><em>.</em><em>.</em><em>.</em>

<em>H</em><em>O</em><em>P</em><em>E</em><em> </em><em>I</em><em>T</em><em> </em><em>H</em><em>E</em><em>L</em><em>P</em><em>S</em><em> </em><em>Y</em><em>O</em><em>U</em>

6 0
2 years ago
Other questions:
  • What is the value of the expression shown when n = 6?
    11·1 answer
  • Find the inverse of the given function.
    11·2 answers
  • A teacher bought 12 packets of crayons. Seven of the packets had 9 crayons and the other 5 packets had 10 crayons. How many cray
    8·2 answers
  • 8.5x-6.1=-7.1<br><br> round to the nearest tenth
    5·2 answers
  • The number of Blue Jays on a tree is 5 times of Red Robins. Combined there are a total of 48 birds on the tree. How many Blue Ja
    11·1 answer
  • Jada lives in a city that has an area of 344.6 square miles. Her friend lives in a town that is one-tenth, or 0.1, that size. Wh
    13·2 answers
  • 3/4 ÷ 6/7 need help nowww
    5·1 answer
  • I need to answer for the parentheses
    8·1 answer
  • Hello please help i’ll give brainliest
    9·1 answer
  • I need the answer fast pls
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!