the population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001. using the function find the number of fish is the pond in 2014

[tex]p(t)=\frac{1125}{1+12e^{-0.17t} }[/tex]

Answers

Answer 1

Given :

The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex]    ...1)

To Find :

Find the number of fish is the pond in 2014.

Solution :

Number of years, t = 2014 - 2001 = 13.

Putting value of t in equation 1), we get :

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]

p(t) ≈ 486

Therefore, number of fish in the pond in 2014 is 486.

Hence, this is the required solution.


Related Questions

If the total surface area of a solid hemisphere is 462 cm2, find its volume.

Answers

Answer:

Step-by-step explanation:

here

total surface area(TSA)= 462 cm²

TSA=3πr²

462 = 3*22/7*r²

462*7=66r²

3,234=66r²

3,234/66=r²

49=r²

√(49=r

r=7

therefore the radia of the hemisphere is 7

now,

volume of hemisphere(V) = (2/3)πr²

V=(2/3)*(22/7)*7²

V=44*7

V=308

Answer:

radius is 7cmStep-by-step explanation:

v=2/3piercube

=2/3×22/7×7×7×7

=2156/3

=718.67cmcube

isolate the variable on the following problem. show your work.

-2=-4+x​

Answers

Answer:

x=2

Step-by-step explanation:

Add 4 to both sides:

-2=-4+x​

-2+4=-4+4+x​

2=x

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

First we must add 4 to both sides.

[tex]-2 = -4 + x[/tex]

+4      +4

-4 + 4 = 0

-2 +4 = 2

Isolating a variable means that it is alone on its side of the eqation.

[tex]2 = x[/tex]

x is now isolated and we also have the solution for it.

[tex]x = 2[/tex]

Explain how to find the GCF of 12 and 18.

Answers

Answer:

6

Step-by-step explanation:

To find the greatest common factor of two numbers you find the largest number that can evenly go into both numbers

For example, the greatest number that can even;y go into 12 and 18 is 6

6 x 2 = 12

6 x 3 = 18

There is no number greater than six that can evenly go into both of those numbers therefore it must be the GCF

Answer:

The GCF of 12 and 18 is 6 and here's how you get it...

Step-by-step explanation:

First, you need to compare the factors of 12 and 18.

12: 1, 2, 3, 4, 6, 12

18: 1, 2, 3, 6, 9, 18

To get the factors of the number, look for want numbers can be divided by that number and still get a whole number. Ex. (12 / 3 = 4) 3 is a factor of 12.

The GREATEST common factor you see they have in common is the GCF.

If this helps, please give me brainliest.

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4640 seats. The students filled 85% of the seats in the theater. How many 6th graders went on the trip?

Answers

Answer

3944

explaination:

multiply 4640 by 85%, you get 394400. next add n with one hundred. now divide 394400 by 100 and you get 3944. enjoy :)

The measure of ZBCD is 120°. The measure of ABC is 85°
What is measure of ZBAC? Enter your answer in the box.​

Answers

Answer: the answer is 35. Are you in k12?

Factor the expression.
18a + 16

Answers

Answer: 2(9a + 8)

Step-by-step explanation:

2 is the only common factor of both 18 and 16. You put the common factor outside of the parenthesis. You divide 2 by both numbers and put the equation in the parenthesis.

2(9a+8)
Step by step explanation

I need help solving and checking the answer before my test tomorrow. ‍♀️im gonna fail so if you know anything please solve it and show how to check the answer ​

Answers

Step-by-step explanation:

-3+5=-10

−3x+5−5=−10−5

−3x=−15

−3x÷−3=−15÷-3

x=5

(-2 4/5)(1 4/5)

=-14/5×19/5

=-14×9/5×5

=-126/25

=-5 1/25

Answer:

3. x = 5

4. -5  1/25

Step-by-step explanation:

Question 3 Solving:

your equation is -3x + 5 = -10

subtract 5 from both sides to get the term with x alone: -3x = -15

divide both sides by -3 to isolate x (remember that a minus divided by minus is plus): x = 5

To check:

plug in 5 to x and see if you get -10 on both sides

-3(5) + 5 = -10

first multiply -3 and 5:

-15 + 5 = -10

then add 5 to -15:

-10 = -10

if the number are equal then you solved the equation correctly

Question 4:

multiply the whole number by the denominator, then add the numerator to the product, and that number will be your new numerator ( make sure to leave the negative sign out of this computation)

so multiply 2 and 5 to get 10, then add 4 to get 14

your new fraction is -14/5

practice doing the same thing to the other mixed fraction

you should get a new fraction of 9/5

multiply the numerators and denominators

so multiply -14 and 9, and multiply 5 and 5

you now have -126/25

divide 126 by 25 to get your whole number of the mixed fraction

you should have -5  ?/25

to find the numerator, multiply your whole number by your denominator (25 x 5 = 125), then subtract this from your numerator of the improper fraction

126-125 = 1

now you have an answer of -5  1/25

Would $3.99$ million flies or $47,000,000$ ants have a greater mass? Approximately how much greater, in grams, would the greater mass be?

Answers

Answer:

Ants and by roughly 118,615,000mg greater.

Step-by-step explanation:

According to a quick online search, a regular house fly weighs on average 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.

Flies: 3,990,000 * 11.5mg = 45,885,000mg

Ants: 47,000,000 * 3.5mg = 164,500,000mg

Therefore, based on this calculation we can clearly see that the 47 million ants will have a greater mass and this mass would be approximately

164,500,000 - 45,885,000= 118,615,000mg greater

The ants and by roughly 118,615,000mg greater.

We have given that,$3.99$ million flies or $47,000,000$ ants have a greater mass

What is the approximate total weight?

A regular house fly weighs on average weighs on 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.

Therfore we can write it as,

Flies: 3,990,000 × 11.5mg = 45,885,000mg

Therefore we get the files mass 45885000mg

For Ants,

47,000,000 * 3.5mg = 164,500,000mg

Therefore, based on this calculation we  clear that the 47 million ants will have a greater mass and this mass would be approximately

164,500,000 - 45,885,000= 118,615,000mg greater

To learn more about the mass visit:

https://brainly.com/question/19385703

If x° is the exterior angle and 50°and 60° are its opposite interior angle of a triangle, find x°.​

Answers

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles:

  x° = 50° + 60°

  x° = 110°

Answer:

x = 90

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then

x = ∠ A + ∠ B = 30 + 60 = 90

The expression below can be written in simplest form as
4(2x-5)+7(x+2)

Answers

4(2x-5)+7(x+2)

bracket means multiplying

do 4(2x+5) first

4*2x=8x

4*-5=-20

7*x=7x

7*2=14

8x-20+7x+14

do the x first

8x+7x=15x

-20+14=-6

answers: 15x-6 or -6+15x

>
X
1. Explain why the slope of line a is
6
13
12
11

Answers

Step-by-step explanation:

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!

Each fall, a horse ranch gives wagon rides. Tickets for adults are $10 each, and tickets for children are $6 each. No more than 25 people can fit on the wagon, and the ranch owners have a goal earning a minimum of $200 on each ride.

The system of inequalities that represents this situation is graphed below, where x represents the number of adults and y represents the number of children on the wagon ride.
X+y<_ 25
20x+ 6y_> 200

A. (19,6)
B. (17.5,5)
C. (10,15)
D. (30,-10)

Answers

Answer:

the equations are off

Step-by-step explanation:

x represents adults cost 10 not 20

y childen at g

x+y  less than 25 people

10(x) + 6(y) greater than 200 dollars

Answer:

19,6

Step-by-step explanation:

5x-3(x-2)=4

This is for Algebra 1

Answers

Answer:

5x-3(x-2)=4

5x-3x+6=4

2x+6=4

2x= 4-6

2x= -2

x = -1

I think of a number, multiply it by 5 and subtract 3 from the result

Answers

Answer:

Do you need the result of the end?

Step-by-step explanation:

5*3=15

15-3=12

5*3=15
15-3=12. I believe this is the answer

find the HCF of the following by
Pime factorisation.
a) 72,54,27
b) 24, 16, 36​

Answers

Answer:

a) 9

b) 4

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

a.9

b.4

Step-by-step explanation:

Hope it helps u....

Elijah bought 334 pounds of ground hamburger meat for $11.00. Enter the price per pound of the ground hamburger meat. Round your answer to the nearest cent, if necessary. $

Answers

Answer:

Step-by-step explanation:

11/334 pounds= roughly 0.329 a pound or 0.33

Answer would be 0.33

i need help with 2-51. PLEASEE AND TYYY

Answers

Answer:

R-{-5}

Step-by-step explanation:

you get the vertex by making the denominator =0

ex.z+5=0 ,z=-5

then we see if the rational function has a constant beside it ex. 3÷z+5-3 ,but in this you Don't have one so its 0

so the vertex would be (-5,0)

the domain =R-{-5} , range=R-{0}

⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️

THIS IS MY LAST ONE HELP

Answers

Answer:

15

Step-by-step explanation:

15 is half of 30, the output values are the input values divided by 2 :)

⚠️WILL GIVE BRAINLIEST⚠️​

Answers

Answer:

The answer is D

Step-by-step explanation:

I solved this with graphing and got d trust me

pls mark brainliest

A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours

starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 8x = 2700


(Type an integer or a simplified fraction)

Answers

Answer:

337.5 mg

Step-by-step explanation:

A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours

Hence: the number of doses or times the antibiotic would be administered =

48 hours/6 hours = 8 doses(times)

The amount of antibiotic that should be given in each dose is:

48 hours = 2700 mg

6 hours = x mg

Cross Multiply

48x = 2700 mg × 6 hours

x = 2700mg × 6/48

x = 2700/8

x = 337.5 mg

(Riddle #1 ) BRAINLIEST! I hope you are all having a wonderful day and Happy Thanksgiving (if you celebrate thanksgiving)! I will be asking some riddles, if your answer if correct I will mark your answer as brainsliest :D Please don't Google or search up any of the riddles, I want everyone to have a fair chance to win the brainliest, thank you.

Riddle #1
What will happen if an unstopable force meets an immovable object?

Answers

Answer:

The "paradox" is flawed because if there exists an unstoppable force, it follows logically that there cannot be any such thing as an immovable object and vice versa.

Step-by-step explanation:

:>

Answer:

nothing happens

Step-by-step explanation:

probably incorrect :0

I need someone to check my work..

Answers

Answer:

2x-8y=24
8y=24-2x
Change the signs
8y-24+2x
Divide both sides by 8
y=-3+1/4x
Reorder
y=1/4x-3

Yep your correct.

5 Which process is necessary for the formation of igneous rock?
A. Erosion
B. Deposition
C. Solicitation
D. Metamorphism

Answers

Answer:

ANSWER IS ........... C

Step-by-step explanation:

HELP ME ASAP PLEASSSSE?!?!
What is the measure of A?

Answers

Answer:

D. 50

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

180-130=50

What is the slope? 3 or 1/3 or -1/3 or -3

Answers

I think it is 1/3 because rise over run and so you go up 1 and over 3
it should be the answer is 1/3 because looking at the graph it shows that every 1/3 is on a line on the graph

Is this labeled right?? If not, please help me on what has to be changed. Ty! This is timed! I’ll give brainliest to whoever answers first :)

Answers

No, short leg should be the shortest.
Hypotenuse is the one slanted, and long leg is bottom

Simplify each of the following expressions.
*Remember: The minus sign between the brackets means the sign inside the brackets changes to the
opposite of what is was, + to — or — to +
a) (5x + 4) – (x – 2) b) (6 – 3x) + (x – 5x)

c) (4x + 5) – (3x – 2) – 6 d) 9x + 5 – 7x

Answers

Answer:

a) [tex]-5x^{2}[/tex] + 6x + 8

b) 6 - 7x

c) [tex]-12x^{2}[/tex] - 7x +4

d) 2x + 5

Step-by-step explanation:

a) (5x + 4) – (x – 2)

(5x + 4) (-x + 2)

[tex]-5x^{2}[/tex] + 10x - 4x + 8

[tex]-5x^{2}[/tex] + 6x + 8

b) (6 – 3x) + (x – 5x)

6 – 3x + x – 5x

6 - 7x

c) (4x + 5) – (3x – 2) – 6

(4x + 5)  (–3x + 2) – 6

[tex]-12x^{2}[/tex] + 8x -15x + 10 -6

[tex]-12x^{2}[/tex] - 7x +4

d) 9x + 5 – 7x

2x + 5

hope this helps!

Solve for x.
9(x + 1) = 25 + x
O x= 2
O x = 3
0 x = 4
O x = 5

Answers

Answer:

Step-by-step explanation:

9(x+1)=25+x

9x+9=25+x  subtract x both sides

8x+9=25    subtract 9 both sides

8x=16  divide by 8

x=2

Enter the number of terms in the expression 7h - 3​

Answers

Answer:

There are 2 terms in the given expression.

Step-by-step explanation:

A term is a simple math expression.

In the expression given, there are two terms: '7h' and '3'.

'7h' - '3​'

Hope this helps.

Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. Estimate the amount of change the cashier should give Allie.

Answers

Answer:

It would be about $9

Step-by-step explanation:

you would round $10.80 to $11 because it says to estimate and then you do 20-11 which is 9 so the answer is $9

The required amount that the cashier returned to Allie is 7.20.

Given that,

Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. To estimate the amount of change the cashier should give Allie.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Paid amount = $20
Cost of the project = $10.80
Returned amount = 20 - 10.80
Returned amount = $7.20

Thus, the required amount that the cashier returned to Allie is 7.20.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Other Questions
The diagram compares the ratio of girls in the chorus to boys in the chorus . What is the ratio of girls to boys ? If there are 40 students in the chorus, how many are girls and how many are boys. What color are the stars on the diagram with the highest surface temperatures? 1. Multiply using distributive property.(4x - 2)(x - 3)Please help me answer. Please help pleaseee Do the land areas around North and South Poles appear smaller or larger in size than they really are? Brainliest...dont need an explanation Which of these elements can form a double bond in a molecule?A. oxygen (0)B. chlorine (CI)C. hydrogen (H)D. neon (Ne) Which decimal makes the comparison true? 7.68 > ______ a. 8.81 b. 8.68 c. 7.86 d. 7.56 What word has a similar denotation, but opposite connotation, of the word nosy? Select one:O gossipy O curious O prying O secretive Based on your observations how are the top left and bottom left numbers of an atom symbol different?ExplainAnswer as fast as you can I need it right now please whoever hears this I want u to know that I am here for I will always be be and so will God. Things well get better I promise!! YOU have to go through the storm to get to the rainbow. TURN TO GOD he will always help u and he loves you and I do to and so does Jesus u got this. DONT GIVE UP and keep on pushing at the end it will all be worth it I promise AND GIVE YOUR LIFE TO JESUS he will help you When the Battle of San Jacinto began, what advantages did the Texan troops have? I need HELPPPPP!!!!!! if kevin took 1/10 of an hour to use 1/2 of package of napkins. how many hours would it take to use 2 packages? Write the LCD (Least Common Denominator I think) for each pair of fractions.1/3, 1/5 | 2/7, 1/4 | 3/4, 3/5 | 2/9, 5/12 | 1/3, 3/7 | 1/6, 4/9Please help. ASAP Note about Mahabir Pun fast please have due after 3 hrs Natures first green is gold ( rewrite of Zukasama's poem )Her hardest hue to hold is that of what the sun hasnt sold. her leafs sprout a flower but it was only so an hour but life begun the leaf dies as dose a part of Eden, as dawn goes to day nothing gold able to stay the sun sucking life from green gardens the waters churning as it tares the lands beauty away the storm makes the land baron the beauty no longer there to stay for the sun is jealous of his power being taken away and in anger strips it away, until the cycle turns again, until natures first green is gold once again one new day Which words or terms would best be added to a brainstorm list of the positive effects of volunteering in a local community? Select 4 options. satisfaction achievement physical health conflict resentment new friends What was the official language of the Persian Empire?O AramaicO HebrewO HindiO Turkish How is height related to puberty? Explain your answer using complete sentences.I