A bacteria culture is grown with a population of 15 million cells and kept under observation. The bell population is found to double every hour. How can we use geometric sequences and series to find the total population after six hours? Show all work.

Answers

Answer 1

Answer:

Population after 6 hours is 2.44 *10^12

Step-by-step explanation:

The geometric population growth formula is

[tex]P = P_0 * e^{kt}[/tex]

Substituting the given values in above equation we get

[tex]P = 15 *10^6 * e^{2 * 6}\\P = 15 *10^6 * 162754.791\\P = 2.44 *10^{12}[/tex]

Population after 6 hours is 2.44 *10^12


Related Questions

The dot plot below shows the amount of time it takes Mrs. Brown 1st period class to eat breakfast. How many students need 8 or more minutes to eat
breakfast?

Answers

Answer:

I believe its 17.

Step-by-step explanation:

If you count the dots above 8, 9, 10, 11 and 12 you will get your answer.

A picture of Carol's soccer field and its dimensions is shown. Carol ran the boundary of the field three times.
. 120 m-
85 m
How far did Carol run in total?

Answers

205 to the total of the run

estimate the perimeter of the figure

Answers

Answer:

around 18 units

Step-by-step explanation:

Ethan spent 12.5% of the money in his pocket on dinner. His dinner cost $15.25. How much did he have in his pocket? Group of answer choices $102.00 $172.36 $190.63 $122.00

Answers

Answer:

$122

Step-by-step explanation:

Let total money in his pocket = $ x

12.5% of x = $ 15.25

[tex]\frac{12.5}{100}*x= 15.25[/tex]

Multiply both sides by 100

12.5 *x = 15.25*100

125.5 *x = 1525

Divide both sides by 125.5

[tex]x = \frac{1525}{12.5}\\\\[/tex]

x = $ 122

When do you first start to see a moderate amount
of overlap in these two graphs?
when the difference in
means is around 40
when the difference in
means is around 20
when the difference in
means is around 5

Answers

Answer:

When the difference in the mean is about 20

Step-by-step explanation:

I did the test

Answer: around 20

Step-by-step explanation:

Solve this system of linear equations. Separate
the x- and y-values with a comma.
16x - 2y = -8
4x + 5y = -24
Enter the correct answer

Answers

Answer:

the answer is 396 beacsue i followed yiur instucton on the note answer.

Step-by-step explanation:

Since 8 is 1/3 of 24 we can multiply 16x-2y to get 48x-6y, now we can see the two equations equal to each other. So 48x-6y= 4x+5y and you combine like variables by doing the inverse operation so you’ll get 44x= 11y. Simplified, this is 4x= y. So, now you plug in 4x for the y variable in the first equation, so you’ll get 16x- 2(4x)= -8. Then you solve for x...
16x- 8x= -8
8x= -8
x= -1

Then you plug the -1 in for the x variable and then solve... so
16(-1)- 2y= -8
-16- 2y= -8
-2y= 8
y= -4

So, overall your answer will be x= -1, y= -4

Brad swims 4 laps every 6min how long does it take him to swim 14 laps?

Answers

I don’t know the answer

The mean age of the members of a baseball team is 28, the median age is 24, and the ages range from 20 to 45. Which of the following statements is best supported by the data?

Answers

Answer:

half are 28 or older

Step-by-step explanation:

also, im taking a math test i have the same question on my jupiter and the same amount of questions. could u send me the answers to all the questions if thats possible :) thx sm

The required statement by the details is an option (D) that half of the players are 24 or younger.

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
We are given that the mean age of the members of a baseball team is 28 and the median age is 24. We can use this information to eliminate some answer choices.

Option (A) states that more than half of the players are older than 28. Since the median age is 24 and the ages range from 20 to 45, this option is not supported by the data.

Option (B) states that half of the players are 28 or older. Since the median age is 24 and the ages range from 20 to 45, this option is not supported by the data.

Option (C) states that the mode of the data is less than 28. We do not have enough information to determine the mode, so this option could be true or false.

Option (D) states that half of the players are 24 or younger. Since the median age is 24, this option is supported by the data.

Therefore, the best-supported statement by the facts is option (D) that half of the players are 24 or younger.

Learn more about mean here:

https://brainly.com/question/15397049

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Jacey has 40 pizzas to sell in the concession stand at a basketball game . Each pizza has been cut into 8 slices of equivalent size. In the first hour, Jacey sold 16 3/8 pizzas . In the second hour , she sold 18 3/4 pizzas . How many pizzas does Jacey have left to sell?

Answers

40 pies * 8 slices = 320 total slices.

In 1 hour = 16 3/8 slices sold.
In 2nd hour = 18 3/4 slices

16 3/8 + 18 3/4

Find Lowest Common Denominator:

3/4 -> 4/8

16 3/8 + 18 4/8 = 32 7/8

320(total slices) -32 7/8(slices Janey sold)= 188 1/8 slices (leftover slices)

Answer: 188 1/8 slices left to sell.

If it takes four men three hours to dig two holes, how long does it take one man to dig three holes?

Answers

Answer:

it will take one man 18 hours to dig the three holes

Step-by-step explanation:

To solve this problem, we can set up a simple relation as follows:

4 men dig two holes in 3hours

4 men will dig 1 hole in x hours.

2 holes => 3 hours

1 hole => x hours

x = (1 X 3)/2 = 1.5 hours

Therefore, 4 men will dig 1 hole in 1.5 hours.

From this, we can find how long it will take 1 man to dig 1 hole

if 4men dig a hole in 1.5 hours

1 man will dig 1 hole in x hours

4 X 1.5 = 6 hours

1 man will dig 1 hole in 6 hours

finally, if 1 man digs a hole in 6 hours, it will take the man 6 hours X 3 to dig 3 holes = 18hours

it will take one man 18 hours to dig the three holes

what is the inequality shown below

Answers

Answer:

-4 ≤ x < 2

Step-by-step explanation:

J,K and L are collinear, and K is between J and L. Which of the following is true?

A.L is between J & K
B.JK + KL = JL
C.JK= KL
D.K is the midpoint of π​

Answers

Answer:

B. JK + KL = JL is the answer.

9 in. 14 in. Find the area of the triangle shown above. [?] square inches​

Answers

Answer:

63

Step-by-step explanation:

9 x 14 = 126/2 = 63

Evaluate whether the value makes a true or false statement.
-16 A
True
B
False

Answers

Answer:

true

Step-by-step explanation:

which angle is vertical to < 3





Answers

Answer:

angle 1

Step-by-step explanation:

Answer:

Angle 1

Step-by-step explanation:

Vertical usually means across so 1 is across 3 and if I'm wrong then oh well

Please help with math

Answers

Answer:

Step-by-step explanation:

you know the angle of P to be 180-60 = 120  so convert 120° to radians

120 * [tex]\pi[/tex]/180 = 2[tex]\pi[/tex]/3  I don't see that as a choice for the answers.. maybe it's off the screen?

Rayyan shares Rs 2000 between his two friends Anas and Ahsan. The ratio of Anas’s share to Ahsan’s share is 6:4
How much money do they each receive?

Answers

Answer:

Anas= RS 1200

Ahsan= RS 800

Step-by-step explanation:

Given data

Amount=  Rs 2000

Ration=  6:4

Combined ratio = 6+4= 10

Let us apply the part to all method to solve for the individual amount

For Anas

2000/10= x/6

cross multiply

10x= 2000*6

10x=  12000

x= 12000/10

x= 1200

For Ahsan

2000/10= x/4

cross multiply

10x= 2000*4

10x=  8000

x= 8000/10

x= 800

Please answer correctly! I will Mark you as Brainliest!

Answers

Answer:

Im pretty sure its 7 but wait for someone else to awnser id.k if i did my math correctly or not lol

Step-by-step explanation:

What is the area of the trapezoid below?

Answers

22 centimeters is the answer

What is the area of the triangle?
8
4
units2

Answers

Area= length x width
so 8x4 is 32
Answer is: 32cm2
The answer is 16. Do you need to show you my work?

Please answer correctly! I will mark you as Brainliest!

Answers

Answer: [tex]V=\frac{1}{3}\pi r^{2}h[/tex]

Step-by-step explanation:

This shape is a cone. Since we are looking for the shape's volume, we use it's volume formula.

HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step

Answers

Answer:

x + 6, y - 4

Step-by-step explanation:

The original image would be the blue triangle, so you need to see how many units it takes to get to the red triangle.

Let's focus on R and R'.

You need to move 6 units to the right, and 4 units down to get from R to R'.

It would then be the same for the other two points.

Mr. Brown owns a hardware company and has two trucks that are used to carry supplies. Truck A can carry a total of 3.45 tonnes and truck B 1500kg. What is the combined weight in kg? *​

Answers

Answer:

4950kg

Step-by-step explanation:

If the slope is 3 and one ordered pair on the line is (2,9), what is the equation?

I'll give you brainliest if it's correct!

Answers

Answer:

y = 3x+3

Step-by-step explanation:

we can find the equation of the line with this formula:

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point and m the slope

so we have

y-9 = 3(x-2)

y = 3x-6+9

y = 3x + 3

f(x) = -2
Find f (3)

Answers

Answer:

f= -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

f(3)=−2

Step 1: Simplify both sides of the equation.

3f=−2

Step 2: Divide both sides by 3.

3f

3

=

−2

3

f=

−2

3

Answer:

f=

−2

3

PLZ HELP!!!!! NO LINKS

Answers

Answer:

check the settings if you will see the link

Find the radius of a plate whose circumference is 87.92 cm

Answers

Answer:

radius would be 14. you get the circumference (87.92) and divide it by pi (3.14) you get 28 which is the diameter and divide it by 2 and you get the radius 14.

Step-by-step explanation:

PLEASE HELP!! school is over in a week for me and i have A LOT of work to be done, IM BEGGING!! NO LINKS OR FILES!!!!!

Answers

Answer:

System of equations

160 = 2W + 2L

W = L - 16

Solution to system of equations

W = 32 ft

L = 48 ft

Explanation:

The width is 16 feet less than the length, so the appropriate equation for that is ...

... W = L - 16

Using this expression for W, we can substitute into the equation for perimeter:

... 160 = 2(L - 16) + 2L

... 160 = 4L -32 . . . . . . . collect terms

... 192 = 4L . . . . . . . . . . add 32

... 48 = L . . . . . . . . . . . . divide by 4

... W = 48 -16 = 32 . . . . find W using the relation with L

Length is 48 ft; width is 32 ft.

ive got like 6 more weeks of school left ur so lucky also have a great summer

Danielle can spend up to $10 making a birthday card for her friend. The paper costs $2. The markers cost $3. She also wants to buy a pack of stickers. Sort the costs of different sticker sets as in or out of budget.

Answers

Answer:

sos i need the points thx

Step-by-step explanation:

Answer:

so in a summary she is going to spend 5 dollars on paper and markers.

so she will have 5 dollars to budget on a pack of stickers.

Find the equation for the
following parabola.
Vertex (2, -1)
Focus (2, 3)

Answers

Answer:

(x−2)^2=16(y+1)

Step-by-step explanation:

The equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The vertex of the parabola = (2, -1)

The focus of the parabola = (2, 3)

As we know, the vertex form of the parabola is given by:

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

(x - 2)² = 4a(y - (-1))

(x - 2)² = 4a(y + 1)

The value of a can be found using the formula:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

(c, d) = (2, 3)

a = √[(2-2)² + (3-(-1))²]

a = √ (3+1)²]

a = 4

(x - 2)² = 4(4)(y + 1)

(x - 2)² = 16(y + 1)

Thus, the equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

Learn more about the parabola here:

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