Step by step

A fisherman illegally drops some fish into a pond, and they quickly propagate (reproduce). The population
growth of the new specifies is modeled by P(x) =6(b)^x where x is the time in weeks following the moment
he dropped the fish into the pond and b is a positive unknown base. Suppose that b is 3. Graph this
relationship. How long does it take for there to be at least 100 fish in the pond?

Answers

Answer 1

Answer:

C. About 6 days

Step-by-step explanation:

Here the function that shows the population of fish after x weeks,

Where b is any unknown,

If b = 3,

Then, the function is,

Which is a exponentially increasing function,

That having y-intercept = (0,1)

And, horizontal asymptote,

y = 0

End behavior of the function:

As  ,  

As  ,  

Thus, by the above information we can graph the given relation.

Now, For at least 100 fish in the pound,

By taking log on both sides,

Thus, after 0.8567 weeks (approx) the fish on the pound will be at least 100.

1 week = 7 days,

0.8567 weeks = 5.9969 days ≈  6 days

Hence, after 6 days (approx) the fish on the pound will be at least 100.


Related Questions

NO ONE IS ANSWERING THIS QUESTION! PLEASE HELP! ANSWER BOTH OF THE QUESTIONS,

Answers

Answer:

Statement false.

Statement true.

Step-by-step explanation:

The left hand side of the equation is not equal to the right hand side, the statement is false.

[tex]16\% \: of \: 250 \: = 0.16 \: \times \: 250 = 40[/tex]

[tex]16\% \: of \: 250 \: is \: equal \: to \: 250\% \: of \: 16[/tex]

The result of both statement is the same, the statement is true.

Answer:

The top one is correct because ive done it.

Step-by-step explanation:

Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as Shaq. What is the total saved amount of all three.

Answers

Use soarctic that’s how I get my answers lmk if it works :)

Anybody good in geometry and know the answer? Free Brainliest and point !!

Answers

Answer:

5,8

Step-by-step explanation:

since C is on y coordinate 8 if its a reflection C' will be as well and C is on x coordinate -5 so if its a reflection then C' will be 5 so 5,8

Answer:

(5,8)

Step-by-step explanation:

one way I like to do it is a) count how many squares C is away from the axis, which is 5, and then staring at the Y-axis count five spaces to the right, or b) which might be a little more time consuming, do where the original D is and see how many spaces up and across C is from D, which is up two and right 5. So then go to the new one, and go up two and instead of going right five, count five to the left because it's reflected. Hope that made sense and helped! If not please let me know and i'll try to explain further.

PLZZ help me !funurn

Answers

Answer:

12/25

Step-by-step explanation:

The Harvey family stayed at a hotel for n nights. The cost was $80 per night plus a one-time fee of $20 because they brought their dog. Which expression represent the total cost of their hotel stay.

80n + 20n
80n + 20
80 + 20n
80 + 20 + n

Answers

Answer:

80n + 20

Step-by-step explanation:

20 stays the same because it's a one time fee. Then, for every night the Harvey family stays, it costs them eighty dollars. So, it's 80n + 20

Answer: 80n+20

Step-by-step explanation:

80 is the cost of nights you stayed but you don’t know the number of nights they dated so you place n next to 80 and they payed an additional 20 fee so you add that to 80n

Patrick is x years old . His brother is 9 years older than he is .If his brother is y years old, express y in terms of x

Answers

Answer:

y = x + 9 ( in years)

Step-by-step explanation:

Given that Patrick is x years old and his brother is 9 years older than he is. Then;

His brother's age will be

= x + 9

If his brother is y years old then

y = x + 9

Since y is the subject, y has been expressed in terms of x. Where y is the age of Patrick's brother and x is Patrick's age.

There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the classroom?

Answers

Answer:

15 girls and 10 boys

Step-by-step explanation:

Answer:

students=35

ratio of girls to boys=2:3

2+3=5

girls.

⇒[tex]\frac{2}{5}[/tex]×35

⇒2×7

⇒14

boys

⇒[tex]\frac{3}{5}[/tex] × 35

⇒3×7

⇒21

Step-by-step explanation:

help...............

I'll give brainliest and heart​

Answers

Answer:

-5

Step-by-step explanation:

the opposite of plus 10 is negative so u add negative 10 to positve and do the same to 5

What is the volume of the pyramid?

Answers

Answer:

It’s a blank page sorry

Step-by-step explanation:

what is the value of x? I NEED HELP FAST PLEASEEEEE SOMEONEEE

Answers

Answer:

62

Step-by-step explanation:

Can you help me please!!!!

Answers

Answer:

Step-by-step explanation:

(-10,0)(0,-4)

find slope

m=-2/5

b=-4

y=-2/5x-4

Answer:

y=mx+b

y=-2/5x -4

(-10,0),(-5,-2)

Step-by-step explanation:

An artist spent $75 on supplies to create paintings. Each painting the artist created was sold for $25. Which function can be used to find p, the profit when c paintings are sold?

Answers

Answer:

Step-by-step explanation:

The function can be used to find p, the profit when c paintings are sold is p = 25x - c.

Given that, an artist spent $75 on supplies to create paintings.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Let the x be the number of paintings sold.

Now selling price of articles = $25x

Profit (p) = 25x - c

Hence, the function can be used to find p, the profit when c paintings are sold is p = 25x - c.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

A formula used for calculating volume of a cylinder is V=πr2h

Rearrange the formula so that the height, h , of the cylinder can be determined given the volume, V and the radius, r .

h=Vπr2−−−√

B
h=πr2V

C
h=Vπr2

D
h=πr2−−−√V

Answers

Answer:

V=πr2h

h=V/πr2

the answer is h=v/πr2

4x^2-7x=15
Solve by factoring and please please please explain or show the work

Answers

Answer:

x=3 and x=-1.25

Step-by-step explanation:

4x^2-7x=15

subtract 15 from each side:

4x^2-7x-15=0

factor  (trying different numbers that the sum is 7 and the quotient is 15)

(2x-6 )(2x+2.5 )=0

2x-6=0 add 6 to each side

2x=6

x=3

2x+2.5=0   subtract 2.5 from each side

2x=-2.5

x=-1.25

If a three-dimensional figure is a cone with radius r and height h, doubling its height will double its volume.

A. True
B. False
C. Not enough information ​

Answers

It’s true have a nice day

A narrow rectangular banner is 3 inches wide. It is 4 times as long as it is wide.
Find the perimeter of the banner.

Answers

The perimeter is 30 inches.
Width is 3inches
Length is 3•4=12
12+12+3+3=30inches

what is the scale factor?

Answers

Answer:

4

Step-by-step explanation:

Answer:

The ratios would be 5:7 and 20:28.

I believe the scale factor would be 4.

The larger box is 4 times the size of the smaller box.

PLEASE HELP IM ON MY LAST ONE!!!​

Answers

The answer would be C

Answer:

C!!

Step-by-step explanation:

EXPLAIN HOW YOU KNOW AND ILL GIVE YOU BRAINLIESTS
Classify the triangle by its sides.
A. right
B. isosceles
C. equilateral
D. scalene

Answers

Answer:

this is an isosceles triangle

Step-by-step explanation:

two of the sides are equal so that makes it isosceles

if all of the sides are equal than it is an equilateral

and if ill the sides are diffrent then it is scalene

1.16 is what percent of 58

Answers

Answer:

2%

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

:)

Make p the subject of the formula k = root p-3r

Answers

Answer:

p = k ^2 + 3 r

Step-by-step explanation:

The solution of the given equation k = √(p - 3r) for p will be p = k² + 3r.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

k = √(p - 3r)

Square on both sides as,

k² = (√(p - 3r))²

k² = p - 3r

Add 3r on both sides as

k² + 3r = p - 3r + 3r

k² + 3r = p

Hence "The solution of the given equation k = √(p - 3r) for p will be p = k² + 3r. ".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Plz help!!!!!!!!!!!!!!!!!

Answers

I believe It is a maximum :)

Answer:

I believe it is a maximum. So sorry if im wrong

Step-by-step explanation:

What are the first 4 terms of the arithmetic sequence in the graph?


Enter your answers in the boxes.

Answers

4,6,8,&10 is the answer

Answer:

The answer is 4, 6, 8, and 10

Step-by-step explanation:

The graph shows that every time you move 1 right, you move 2 up.

Evaluate using logrithm

© 12:59 x 31540

Answers

Answer:

Step-by-step explanation:12  MJULTIPKLA BY 13

Please Help me. Also if you could show your work thatd be great.

Answers

Answer:

3) [tex]all \: real \: numbers[/tex], [tex]( - \infty , \infty )[/tex], or [tex]- \infty \leqslant x \leqslant \infty[/tex] (same thing)

4) [tex] - \infty < y < 0[/tex] or [tex]( - \infty ,0)[/tex] (same thing)

5) [tex]-2[/tex] or [tex](0, -2)[/tex] (same thing)

Step-by-step explanation:

3) Domain represents the amount of [tex]x[/tex]-values in a function. The image shows that the function's arrows point in both directions (right and left), infinitely, so the domain would be [tex]all \: real \: numbers[/tex], [tex]( - \infty , \infty )[/tex], or [tex]- \infty \leqslant x \leqslant \infty [/tex](same thing).

4) Range represents the amount of [tex]y[/tex]-values in a function. The function goes downward forever ([tex] - \infty < y[/tex]) by the indication of an arrow and halts just under the y-axis ([tex]y < 0[/tex]). After combining these two inequalities, you see that the range is [tex] - \infty < y < 0[/tex] or [tex]( - \infty ,0)[/tex] (same thing).

5) The [tex]y[/tex]-intercept is where the function crosses the [tex]y[/tex]-axis. In this function, the [tex]y[/tex]-intercept is [tex]-2[/tex] or [tex](0, -2)[/tex] (same thing).


Steve drew a coordinate grid on a map of his town, with his house at the origin. His school is located 2 units above his house on the
map, and his bank is located 3 units to the left of his school. What are the coordinates of Steve's bank on the map?
(-3,2)
(-2,3)
(2,-3)
(3, 2)

Answers

the cordinates would be (3,2)

1. What is the side of the square garden that has an area of 100
square feet?
Record your answer and fill in the bubbles on your answer
document. Be sure to use the correct place value.

Answers

Answer:

10.

10*10=100.

What is the value of -12/a if a = -4?

A: -3
B: -1
C: 3
D: 4

Anyone help please?
:(

Answers

Answer:

C

Step-by-step explanation:

-12

---- if a = -4

a

-12

-----

-4

= 3

Help ASAP thanks........

Answers

The answer is 130 degrees is the answer

Does the graph represent a function? Choose the correct descriptor.

Answers

Answer:

-negative acceleration and +positive velocity

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