If P(t) is the size of a population at time t, which of the following differential equations describes linear growth in the size of the population?

dPdt=200
Answer A: d cap p over d t is equal to 200
A

dPdt=200t
Answer B: d cap p over d t is equal to 200 t
B

dPdt=100t2
Answer C: d cap p over d t is equal to 100 t squared
C

dPdt=200P
Answer D: d cap p over d t is equal to 200 cap p
D

dPdt=100P2

Answers

Answer 1

Answer:

A. dP/dt = 200

Answer 2

The degree of the variable must be one for linear growth. Then the correct option is B.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

If P(t) is the size of a population at time t.

The differential equations have a linear growth in the size of the population. That means the degree of the variable must be one. And the equation of the population will be quadratic. That is given as

[tex]\rm \dfrac{dP}{dt} = 200t[/tex]

In this equation, the degree of the time (t) is one.

Thus, the correct option is B.

More about the differentiation link is given below.

https://brainly.com/question/24062595


Related Questions

Rationalize the denominator and simplify the following expression:

fraction numerator 4 plus square root of 2 over denominator 2 space minus square root of 2 end fraction

Answers

let's recall that the conjugate of say a + b is simply the same thing with a different sign in between, namely a - b, so let's use the conjugate of the denominator and multiply top and bottom by it.

[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{4+\sqrt{2}}{2-\sqrt{2}}\cdot \cfrac{2+\sqrt{2}}{2+\sqrt{2}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{\underset{\textit{difference of squares}}{(2-\sqrt{2})(2+\sqrt{2})}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{2^2-(\sqrt{2})^2}[/tex]

[tex]\cfrac{8+4\sqrt{2}+2\sqrt{2}+(\sqrt{2})^2}{4-2}\implies \cfrac{8+4\sqrt{2}+2\sqrt{2}+2}{2}\implies \cfrac{10+6\sqrt{2}}{2} \\\\\\ \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(5+3\sqrt{2})}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{5+3\sqrt{2}}[/tex]

Find the length of PQ.

Answers

PQ LENGTH 12 msg back if wrong

Add 1, multiply by 2. 2 First

Answers

Answer:

2+1×2=6

6+1×2=14

14+1×2=30

And so on

A washer and dryer cost 809. The washer is 59 dollars more than the dryer how much does the dryer cost

Answers

Answer:

The dryer cost $350.

Step-by-step explanation:

Answer:

$375

Step-by-step explanation:

809 - 59 = 750

750 / 2 = 375

HELP ASAP DUE IN 5 MIN I WILL GIVE 15 POINTS QND MARK BRAINLIEST DO NOT SPAM As a kitten, Mittens weighed 2 3/4 pounds. At his 6-month check-up with the vet, Mittens weighed 6.5 pounds. How much weight did Mittens gain between the time he was a kitten and his 6-month check-up? Enter your answer as a decimal or simplified mixed number in the box.​​

Answers

Answer:

3.75

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

Hope this helps

Have a great and blessed day :)

help pls ill give brainly

Answers

Answer:

Find the Diameter!

To find the diameter, get the cirumference, divide it by 2, and multiply it by Pi (3.14)

For this certain equation, it appears the circumference is 13. 13/2 is 6.5. 6.5 times 3.14 is 20.41.

Answer:

I think the other guy is correct I'm just putting this here so you can give him/her brainliest

Step-by-step explanation:

The regular price of a refrigerator is $877. At a discount store, the price is $523. How much money can
Lena save by buying the refrigerator at the discount store?

Answers

Answer:

$345 is how much Lena can save

Step-by-step explanation:

Convert the improper fraction below to a mixed number. 13/4

Answers

Answer:

3 1/4

Step-by-step explanation:

Describe how the point-slope formula is useful when writing the equation of a trend line

Answers

Step-by-step explanation:

if you observe the graph the y values increase as the x value increase.

so it has a possitive association.

if the value of y increase as the value of the x increase then data has positive association.

Solve −3x2 + 30x − 90 = 0

Answers

Step-by-step explanation:

so, it is a quadratic equation :

-3x² + 30x - 90 = 0

the first thing we can do is divide by 3

-x² + 10x - 30 = 0

remember, the formula to solve and find the 2 solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here

a = -1

b = 10

c = -30

x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =

= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =

= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =

= 5 ± -sqrt(5)i

x1 = 5 - sqrt(5)i

x2 = 5 + sqrt(5)i

remember, i = sqrt(-1), a complex number.

Solve for x
(x+16) over 3 = 3x



a. X=-7
b. X=-13
c.x= 8
d. X= 2

Answers

Answer:

X=8

Step-by-step explanation:

8+16=24

and 3(8)=24

PLEASE HELP WITH THIS ONE QUESTION

FACTOR THE FOLLOWING COMPLETELY:

Answers

a² - b² = (a+b)(a-b)
Where a = 4x^4 and b=y²
=(4x^4 +y²)(2x²+y)(2x² - y)

The additive inverse of [tex]a-b[/tex] is:

A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]

Answers

Additive inverse refers to any number that when added to the original number gives the result as zero.

[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]

George eat 3/8 a pizza and 1/4 of pizza
What fraction of pizza has George eaten

Answers

Answer: 5/8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

Susie catches 15 butterflies and lets 6 butterflies go for three days in a row

Answers

What is she doing with the butterflies she kept…..

Answer:

Sorry don't report pls I need the points

Step-by-step explanation:

Problem 1
Each scholar in fifth grade participates in one of the three extracurricular activities: sports,
chess, or art.
2/5 of the fifth grade scholars participate in sports
1/4 of the fifth grade scholars participate in chess
What fraction of the fifth grade scholars participate in art?

Answers

Answer:

7/20 participate in art.

Answer:

7/20 hcjauwauhfehhfieafuewaueiwavibiurbviubwibvebaiubj

(7 x 10^-6)(7 x 10^-6) pls help <:D

Answers

we have (7 x 10^-6)(7 x 10^-6) = (7 x 10^-6)^2 = 49 x 10^-3 = 0.049

ok done. Thank to me :>

In △ABC, m∠A = 75° and m∠C = 20°, What is m⁢∠⁡⁣B?

Answers

Answer:

30 degree ok please make me brainliest

Answer:

∠ B = 85°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ A + ∠ B + ∠ C = 180° , substitute values

75° + ∠ B + 20° = 180°

∠ B + 95° = 180° ( subtract 95° from both sides )

∠ B = 85°

AT WHAT X-VALUE DOES A
RELATIVE MINIMUM
OCCUR?

Answers

The graph was too small for me to see so I used the first derivative test to find it:

The answer is 4.24

(Super long explanation, my work is below):

For this test, first you find the derivative of the function, then you set that value to 0 and find the x values. This gives you the critical points, which you can use to test the intervals on the graph. Since this function has an open interval we can use - infinity and infinity as the endpoints of out test. When the value of derivative changes from a negative interval to a positive interval, that is a relative min.

Answer:

  x ≈ 4.239

Step-by-step explanation:

A relative minimum is found at the bottom of any U-shape on the graph. If you expand the graph shown until it has a suitable scale, it can show you the relative minimum occurs at x ≈ 4.239.

__

Additional comment

The relative maximum occurs at the top of any ∩-shape. The graphing calculator can show you that occurs at x ≈ -1.573.

which one of the congruency statements are true?

Answers

Answer:

line segment BC=line segment XY

Step-by-step explanation:

The last choice :)

[tex]5/12 + 11d/12 - 3 = 3d + 7 - 4d.[/tex]

PLEASE HELP!!

Answers

d=5.


Hope this helps!! :)

(I am giving branlest) (plz help only if you understand )


Solve five ninths plus four sixths.

sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths

Answers

Answer:

hey mr. one eyed ghoul

Step-by-step explanation:

Use the table below to answer the following question,
2:
хо 1 2 3 4 5 6
y 100 200 400 800 1,600 3,200 6,400
Which equation BEST fits the data given in the table?
se 3:
Of(x) = { (200)*
Of(x) = 100(2)*
uge 4
f(x) = 200)
age 5
Of(x) = 200(2)*
5
Previous Page
Next Page
Page 2 of 11

Answers

Answer Of(x) = 200(2)

Step-by-step explanation:

Of(x) = 200(2)

Dimensional analysis

Answers

Answer:

On the LHS:

Frequency is measured in rad/s, or [tex]s^-^1[/tex];.

On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.

[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]

can someone help me with this please?




Answers

Answer:

Okay, Please copy paste the question. I cannot see.

Step-by-step explanation:

9.2 less than 3 times a number is the same as 21 1/4

Answers

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15

Answer:

10.15

Step-by-step explanation:

I took the K12 test

please answer numbers 1-5 i need them soon

Answers

Answer:

Step-by-step explanation:

1) 1. AB ≅ CD                 Given

 2. AD ≅ CB                  Given

 3 . BD ≅ BD                  Reflexive property

 4. ΔABD ≅ ΔCBD         S S S congruent

2) 1. GH // JK                  Given

   2. ∠HGJ ≅∠KJG        Given

   3. GH ≅ JK                 Given

  4 . GJ ≅ GJ                    Reflexive property

   5. ΔHGJ ≅ ΔKJG         S A S congruent

3) ΔJNK ≅ ΔMNL             SSS congruent

  JK = ML                           CPCT

 JK = 160 ft

4) ΔRPS ≅ ΔTQS                A A S congruent

  RS ≅ TS

RS = 85 m

5)ΔDEF ≅ΔGHJ

 GJ  = DE       {CPCT}

6x - 13 = 3x + 2

6x = 3x + 2 + 13

6x = 3x + 15

6x - 3x = 15

3x = 15

 x = 15/3

x = 5

HJ = 5x = 5*5 = 25

Select the correct answer.
Solve the following inequality.

-8 < 3x + 1 < 7

A.

B.

C.

D.

Answers

Answer:

-3 < x < 2

Step-by-step explanation:

-8 < 3x + 1 < 7

-8 < 3x + 1   ....... eqn 1

3x + 1 < 7  ...........eqn 2

-8 < 3x + 1

-8 - 1 < 3x

-9 < 3x

-9/3 < x

-3 < x

3x + 1 < 7  ...........eqn 2

3x < 7 - 1

3x < 6

x < 6/3

x < 2

= -3 < x < 2

The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.

What is the unit rate that compares the length of the bed in the bedroom to the length of the bed in the dollhouse?

Enter your answer, as a mixed number in simplest form, by filling in the boxes.

Answers

Answer: 1 1/2

Step-by-step explanation: I took it on k12

Answer:

The answer is 1 1/2 for K12

In the base ten number 4325 , how many times
greater than the value represented by the digit 2 is the value represented by the digit 4 ?

Answers

Using the concept of place value, the digit 4 is 200 times greater than the digit 2.

Given the number :

4325

The digit 2 is in the tens place = 2 × 10 = 20

The digit 4 is in the thousand place = 4 × 1000 = 4000

The number of times greater can be obtained thus :

4000 / 20 = 200

Hence, the digit 4 is 200 times greater than the digit 2.

Learn more : https://brainly.com/question/14760328

Other Questions
1..... Define society ? The kitchen of a house is of size 15ft x 12ft. Find the cost of tiling the wall at all sides 5 ft from the base at the rate of Rs. 120/sq ft. Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 3%. How much money did Edward earn in interest? I paid $15.48 for 12 songs on iTunes. How much did 1 song cost? How are goods distributed across Canada? Think of two methods. In which country did the original stupa evolve into a pavilion-like watchtower? A. China B. India C. Japan. Circuit connections can either be series or parallel. In a_____connections, there is only one path of electrons, loads that are connected have the same current passing through them. itements are true.Choose all answers that apply:The equation represents a proportional relationship.BThe unit rate of change of y with respect to z is 1.4.o5The slope of the line is750A change of 2 units in I results in a change of 2.8 units in y.-ptsA change of 3 units in a results in a change of 1.2 units in y. what is the name of the process in bacteria that involves dna transfer through a cytoplasmic connection known as a pilus? at what age can you withdraw from 401k without paying taxes how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?ASAP!!! PLS Which expression represents Sushmila's total cost for the supplies 3p-5+2s 3p+2(s-5)3(p-5+2s)3(p-5)+2s Find the solution to the system of equations.You can use the interactive graph below to find the solution- 72 - 2y = 14ALE6x + 6y = 18ASy =JOy7AS65432+21 2 3 4 5 6 7-7-6-5-4-3-2SAProDo noble Body paragraph about julius Caesar's death Fill in the blank with a number to make the expression a perfect square. y^2 + 6y + ? A line contains the points (-3,-9) and (4,5). What is the point-slope form of the line? A. y + 9 = -2 (x + 3) B. y - 5 = 3 (x - 2) C. y - 9 = 2 (x + 3) D. y + 9 = 2 (x + 3) in what forms and where do we find water on Earth? Which of the following numbers is closest to 9? O A. v79 O B. 778 O c. 783 O D. 782 A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-intercept form.A. y = - 2x - 3B.y = - 2x +3C. y=2x-3D. y = 2x + 3 I WILL GIVE BRAINIEST!!!!! help pls-