One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in years since 1990, and Pis measured in billions of people. Which of the following statements are true? Check all that apply.

One Model Of Earth's Population Growth Is P(t)= 64/(1+11e^0.8t)where T Ismeasured In Years Since 1990,

Answers

Answer 1

Answer: C and D

Step-by-step explanation:

Answer 2

Using the logistic equation, it is found that options C and D are correct.

The logistic equation for population growth is given by:

[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]

[tex]A = \frac{K - P(0)}{P(0)}[/tex]

In which:  

K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal. The population grows exponentially for a while, but as it gets closer to the carrying capacity, the growth slows down.

For this problem, the equation is:

[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]

Which means that:

The carrying capacity is of 64 billion people, as [tex]K = 64[/tex].The growth rate is of 8% per year, but it is not steady.The initial population, in millions of people, is of [tex]P(0) = \frac{64}{1 + 11} = 5.3[/tex].

Hence, options C and D are correct.

To learn more about the logistic equation, you can check https://brainly.com/question/25697660


Related Questions

true or false 3 x 10^4 is 5 times as much as 6 x 10^3

Answers

Answer:

True

Step-by-step explanation:

1. To find if this statement is true or false, we first have to evaluate the value of these numbers.

[tex]3 * 10^4 = 3 * 10 * 10 * 10 * 10 = 30 * 10 * 10 * 10 = 300 * 10 * 10 = 3000 * 10 = 30000[/tex] [tex]6 * 10^3 = 6 * 10 * 10 * 10 = 60 * 10 * 10 = 600 * 10 = 6000[/tex]

2. Next, we divide 30,000 by 6,000. If our quotient is 5, then this is true.

[tex]30,000/6,000[/tex] [tex]5[/tex]

Therefore, this is true.

Help me

22 + 33 - 44 = ?​

Answers

Answer:

22 + 33 = 55

55 - 44 = 11

hence 11 is the answer

Answer:

11 luv:)

Step-by-step explanation:

can i please have help with this question branliest for the correct answer

Answers

Answer:

y = -4x+2

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

ok how do i show work for this tho lolololoololololollloooooool

Answers

Answer:

y=[tex]\frac{1}{5}[/tex]x is linear

Step-by-step explanation:

4x-3y=7y+2x

collect like terms

4x-3y-7y-2x=0

2x-10y=0

simplify

x-5y=0

rewrite it in slope intercept form

y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line

I NEED BOTH OF THESE


60 POINTS

asap

Answers

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5

Find the 9th term of geometric sequence whose first term is 2 and common ratio is 2
520
512
506
256

Answers

5-12 is the answer for 520 5-06

Last week bakery marvels baked 5 of the power of ten 5 muffins. How many muffins Do bakery marvels make?

Answers

Answer:3125 muffins

Step-by-step explanation:

I DONT KNOW AHHHHHH
[tex]0.399 + w = 0.4[/tex]

Answers

Answer:

[tex] \sf \: w = 0.001[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of w.

The equation is,

→ 0.399 + w = 0.4

Then the value of w will be,

→ 0.399 + w = 0.4

→ w = 0.4 - 0.399

→ [ w = 0.001 ]

Hence, the answer is 0.001.

Calculate the slope of the coordinates (5,10) (10,20)

Answers

Answer:

m=2

Step-by-step explanation:

solve the ratio with solution nonsense=report
1.23:67
2.67:89​

Answers

Step by step explanation:23:67 23÷67--Convert the ratio into a fraction using a÷b=a/b23/67--Calculate the approximate value0.343284--Round the number to the nearest ten thousand0.3443--Write a decimal fraction34.33/100--by definition p/100=p%Answer:1.34.33%

67:89 67÷89--Convert the ratio into a fraction using a÷b=a/b67/89--Calculate the approximate value0.752809--Round the number to the nearest ten thousand 0.7528--Write as decimal fraction75.28/100--by definition p/100=p%Answer:2.75.28%

That's the correct answerLiked my answer Brainliest

Solve for x.
3 + 9x = 11x - 7

Answers

Answer:

3 + 9x = 11x - 7

simplify

9x + 3 = 11x - 7

subtract 11x from both sides

-11x             -11x

-2x + 3 = -7

get rid of constants first by subtracting by 3 from both sides

-3            -3

-2x = -10

divide both sides by -2 since that is the inverse operation of multiplication

/-2    /-2

X = 5

Answer:

x=5

Step-by-step explanation:

Hi, first the thing to do here is simple,

step 1, collecting like terms

3+9x=11x-7

11x-9x=3+7

2x=10

then divide both by 2.

x= 5

Solve for x.

x2 + 4x - 21 = 0

Answers

2x + 4x - 21 = 0
6x - 21 = 0
6x = 21
x=3.5

An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?

Answers

Answer:

$14 discount$56 discounted price

Step-by-step explanation:

The amount of the discount is ...

  20% of $70 = 0.20·$70 = $14 . . . discount

The discounted amount is ...

  $70 -14 = $56 . . . discounted price

[tex]2(a+11)=-3(16-a)\\\\ also this\\2(x+10)=2(3x-8)[/tex]


can ya'll solve this for me please

Answers

Answer:

sorry no

Step-by-step explanation:

what is x?

3x-5=10

please help and thank you

Answers

Answer:

5

Step-by-step explanation:

3x - 5 = 10

3x = 15

x = 5

I hope it helps bye, good luck

Answer:

x=5

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.

Add  5 to both sides of the equation.

3x = 10 + 5

Add 10 and 5

3x = 15

Divide each term in  3x = 15  by 3  and simplify.

3x/3 = 15/3

Simplify the left side

Cancel the common factor of  3

x = 15/3

Divide 15 by 3

x = 5

A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?​

Answers

Answer:

a = 8

Step-by-step explanation:

First find the equation of line using

y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1

y-1=7(x-(-6))

y-1=7x+42

y=7x+43

now let x be -5 to find y which is a

y=7(-5)+43

y=-35+43

y=8

so a = 8

A truck is 2000 kg and has a cargo load of 1000 kg. Its speed is 50 km/h. The momentum for the truck and cargo is

Answers

Answer:

The momentum for the truck and cargo is 150000 kg·km/h

Step-by-step explanation:

p = mv

p = (2000 kg + 1000 kg)(50 km/h)

p = (3000 kg)(50 km/h)

p = 150000 kg·km/h

What is the slope of a line that is perpendicular to the line y = 1?
O-1
ОО
O 1
O undefined

Answers

Answer:  D)   Undefined

Explanation:

The equation y = 1 is the same as y = 0x+1

Match that to the form y = mx+b to see that the slope is m = 0

Any horizontal line has a slope of 0.

Notice that we cannot apply the negative reciprocal to this because 0 = 0/1 leads to 1/0 which is undefined

The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0. The rise can be any number you want (it doesn't have to be 1) and we get the same result.

The slope of a line that is perpendicular to the line y = 1 is undefined.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The equation y = 1 is the same as y = 0x+1

Match that to the form y = mx+b to see that the slope is m = 0

Any horizontal line has a slope of 0.

y = 1 is an vertical line.

The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0.

= Undefined

Hence,  the slope of a line that is perpendicular to the line y = 1 is undefined.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

help fast it due at 11pm

Answers

Answer:

multiplying 14/15 by 5 then dividing by 7

The sum of two polynomials is â€"yz2 â€" 3z2 â€" 4y 4. If one of the polynomials is y â€" 4yz2 â€" 3, what is the other polynomial? â€"2yz2 â€" 4y 7 â€"2yz2 â€" 3y 1 â€"5yz2 3z2 â€" 3y 1 3yz2 â€" 3z2 â€" 5y 7.

Answers

The sum of polynomials involves adding the polynomials

The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

The sum of the polynomials is given as:

[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]

One of the polynomials is given as:

[tex]P = 4y^2 - 3[/tex]

Represent the other polynomial with Q.

So, we have:

[tex]P +Q =Sum[/tex]

Substitute the expressions for P and Sum

[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]

Make Q the subject

[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]

Evaluate like terms

[tex]Q =y^3 -y^2+ 4y - 1[/tex]

Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

Read more about polynomials at:

https://brainly.com/question/1487158

HELP PLEASE...........

Answers

Answer:

  B. slope -5, y-intercept (0, 7)

Step-by-step explanation:

The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)

The slope is ...

  change in y / change in x

  (-13 -7) / (4 -0) = -20/4 = -5 . . . slope

This matches choice B.

How many gallons of gas can
you afford with $34.83 if a gallon of gas is $3.87 a gallon?

Answers

Answer:

You would be able to afford 9 gallons of gas.

Step-by-step explanation:

34.83 divided by 3.87 is 9. Have a nice day!

m(arc DE)=105 and M(arc BC)=70 Find M

Answers

Answer:

a. 70

Step-by-step explanation:

What is the slope??
(The bottom one says : (1, 1)

Answers

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.
The slope is: -1/3
Ok done. Thank to me :>

six and seven on this wkst!!!!!

Answers

Answer:

6.) x=5/4

7.) x=-6

Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)

Step-by-step explanation:

Just ask!

Hope this helps. :))

Sorry if I'm wrong.

~Happy Holidays!!~ o(* ̄▽ ̄*)ブ

I need as many digits of pi I can get.

Answers

Answer:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

Step-by-step explanation:

Answer:

3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651 328230664709384460955058223172535940812848111745028410270193 852110555964462294895493038196442881097566593344612847564823 3786783165271201909145648566923460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Step-by-step explanation:

These r the first 1,000 numbers but there are over 200 million numbers in pi.

hope this helps! Plz give brainliest!

Which of the following triangles shows a centroid?

Answers

Answer:

first option

Step-by-step explanation:

What is the value of x?

A. 73°
B. 71°
C. 70°
D. 68°

Answers

We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°

⇒ 2x° = 140° ⇒ x° = 70°

The answer is C. 70°

ok done. Thank to me :>


Please help me solve this problem

Answers

Answer:

15

Step-by-step explanation:

10 + (-3 3/8) = i need the answer

Answers

Answer:6 . 625 or 6 5/8

Step-by-step explanation

10 + (-3 3/8)         (adding a negative is like subtracting a positive)

10 - 3 3/8

6 5/8

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