A colony of E. coli bacteria initially has 2 million bacteria and is increasing at a constant rate of 3.5% every minute. Write a formula for the number of bacteria in the colony after tt minutes.

Answers

Answer 1

The formula for the number of bacteria in the colony after t minutes is [tex]y=2000000(1.035)^t[/tex]

An exponential growth is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b > 1

Let y represent the bacteria population after t minutes

Given that initially has 2 million bacteria, hence:

a = 2 million = 2000000

It increases at a rate of 3.5% every minute, hence:

b = 100% + 3.5% = 1.035

The equation is:

[tex]y=2000000(1.035)^t[/tex]

Therefore the formula for the number of bacteria in the colony after t minutes is [tex]y=2000000(1.035)^t[/tex]

Find out more at: https://brainly.com/question/12490064


Related Questions

Find the difference (10j-7)-(-9j+2)

Answers

Answer:

19j-9

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

10+9=19j

-7-2=9

simplify 3 wholes 6/8 + 2 wholes 2/8

Answers

Answer:

5/1

Step-by-step explanation:

3.75 + 2.25 = 5

5 = 5/1

Find the value of y for the given value of I.
y=x/2 + 9;x = -12

Answers

9514 1404 393

Answer:

  y = 3

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  [tex]y=\dfrac{x}{2}+9\\\\y=\dfrac{-12}{2}+9=-6+9\\\\\boxed{y=3}[/tex]

Can someone tell me what the evaluated answer is?

Answers

Answer:

16)  7⁻²

17) -1⁻²

Step-by-step explanation:

plug in the x=, y=, and n= into the equation.

Mr. Solomon, the art teacher, has 49.6 pounds of clay. If he gives every student 1.6 pounds of clay and has none left, how many students are in his class?​

Answers

Answer:

He has 31 students

Step-by-step explanation:

You know this because 49.6 ÷ 1.6 = 31

If you spent 24 weeks working on a project for your job and are rewarded with 3 days of vacation write the ratio of time on vacation to time working as a fraction in lowest terms

Answers

time on vacation/time working

= 3/(24*7)

= 3/(8*3*7)

=1/(8*7)

= 1/56

Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks s and ties t on sale for $4 and $11, respectively. Which equation models this situation?

Answers

Answer:

4s + 11t = 75

Step-by-step explanation:

Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.

s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).

t is the number of ties that are bought.

4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+

11t represents the total cost of the ties that are bought

HELPPP PLZ PLZ PLZ 15 BRANULASR When x is decreased by 129 and then that number is multiplied by 129 , the result is 129. What is the value of x?

Answers

Answer:

130

Step-by-step explanation:

(x - 129) * 129 = 129

x - 129 = 129/129

x - 129 = 1

x = 129 + 1

x = 130

Answer:

x could equal 130 but I'm not sure about this one

Step-by-step explanation:

you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though

four and three sevents plus six and one fith.

Answers

372/35 or 10.62857143
You could find a common denominator or use a calculator


Write a function that has the following characteristics:

-Exponential decay

-Asymptote is y = -2

-Shifted left 3 units from the parent function

Answers

9514 1404 393

Answer:

  y = 0.4^(x+3) -2

Step-by-step explanation:

I have chosen the decay function y=0.4^x as the parent function.

Shifting any function f(x) left 3 and down 2 will transform it to ...

  y = f(x+3) -2

So, the shifted parent function is ...

  y = 0.4^(x+3) -2

What is the other 0 of the quadratic function

Answers

Answer: Unknown

Step-by-step explanation:

-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez

Line ℓ has equation y=5. Find the distance between ℓ and the point Q(0,1).

Answers

Answer:

Distance = 4

Step-by-step explanation:

Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.

In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).

Let  (x₁, y₁) = (0, 1)  

      (x₂, y₂) = (0, 5)  

Substitute these values into the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]  

[tex]d = \sqrt{(4)^{2}}[/tex]

[tex]d = \sqrt{16}[/tex]

d = 4  

Therefore, the distance of line ℓ from point Q is 4.

A file that is 249 megabytes is being downloaded. If the download is 15.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth ?

Answers

Answer:

39.1 megabytes

Step-by-step explanation:

Percentages are out of a hundred, so 15.7% is 15.7 out of 100, aka 15.7/100, which is 0.157.

Now, you just need to multiple this number by 249 megabytes to get 0.157 * 249 = 39.093 which rounds to 39.1

39.1 megabytes just multiply buy 249

72 boxes sold out of 90 boxes what percent sold

Answers

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

90 boxes = 100%

72 boxes = ?

=> (72 * 100)/ 90 = 80%

PLEASE HELP

What is the value of the expression 12+23b when b=−5 ?

−176

−16

236

I don't know.

Answers

Answer: -103

Step-by-step explanation:

substitute in the value of B

12+23(-5)

multiply 23 and -5 together

12-115

solve

-103 is the answer

Answer:

-103

Step-by-step explanation:

What is the equation of the line that passes through the point (-3,4)(−3,4) and has a slope of 11?

Answers

Answer:

y=5x-11 is the equation of the required line

Please answer the question in the picture

Answers

(2x+8)(x-3)
2x + x = 3x
8 - 3 = 5
3x + 5 is expressed form.

Answer:

2x² + 2x - 24

Step-by-step explanation:

We can use the FOIL method to multiply the terms together and then find the values in our trinomial. First, the F in FOIL. It stands for first, and we need to multiply the first terms in the two expressions. These terms are 2x and x. Multiplying 2x by x gives us 2x², so that's our first term.

Next, the O in FOIL. It stands for outside, and we need to multiply the terms on the very left and the very right. These are 2x and -3, and multiplying 2x by -3 gives us -6x. That's our second term.

Now, the I in FOIL. It stands for inside, so we need to multiply the terms in the middle of the expressions. Those are 8 and x, and we multiply those together to get 8x. That's our third term.

Finally, the L in FOIL. This stands for last; we need to multiply the last terms of each expression. Those are 8 and -3, and we can multiply those to get -24. Now we can get all our terms added together and simplify as needed.

2x² - 6x + 8x - 24

We can simplify -6x and 8x since they are like terms.

2x² + 2x - 24

And there is our trinomial. Hopefully that's helpful! :)

2/3x−1/6y=1/2

2x – 4y = 3

Answers

Answer:

30

Step-by-step explanation:

3x+6y=9

multiply by 2

6x+12y=18   ....(1)

-2x+-4y=4

multiply by 3

-6x-12y=12   ...(2)

add (1) and (2)

0+0=30

George has four boards that are each 43 feet long and two that are 5.75 feet long.
What is the total length of all the boards together? Give your answer as a decimal.

Answers

Answer:

183.50 feet

Step-by-step explanation:

43*4=172

5.75*2=11.50

172+11.50=183.50

183.50 feet

Evaluate. 10/1·(−4) Enter your answer in the box.

I’ll give brainliest if its correct on the test! (And if i can figure out how)

Answers

Step-by-step explanation:

10/1(-4)

10(-4)

=-2.5 or 5/-2

If a course starts September 2022,and last for three years, what year would it end. ​

Answers

Answer:

im pretty sure its 2025

Answer:

2025

Step-by-step explanation:


URGENT!!! Will MARK BRAINLIEST!!!
Select the correct answer.
What is the next step in solving this augmented matrix using the Gauss-Jordan elimination method?

OA.
Convert the matrix to the linear system form.
OB.
Divide R2 by 2 and R3 by 3.
OC.
The matrix is solved.
D.
This is an inconsistent matrix that cannot be solved.
O E.
Divide R1 by 2 and R3 by 3.

Answers

Answer:

B is the correct answer. I just took the test :))

Step-by-step explanation:

Option B is correct, Divide R₂ by 2 and R₃  by 3 is the  next step in solving this augmented matrix using the Gauss-Jordan elimination method.

In the Gauss-Jordan elimination method, the goal is to transform the augmented matrix into row-echelon form and then into reduced row-echelon form to solve the system of linear equations.

To achieve this, we perform row operations on the matrix.

In the given augmented matrix:

[tex]\left[\begin{array}{ccc}1&0&0\\0&2&0\\0&0&3\end{array}\right] .\left[\begin{array}{c}5&8&9\end{array}\right][/tex]

We can divide R₂ (Row 2) by 2 and R₃ (Row 3) by 3 to simplify the matrix further we do this to make the leading coefficient (the number at the leftmost position in each row) of each row equal to 1, which is a requirement for row-echelon form.

After dividing R₂ by 2 and R₃ by 3, the augmented matrix becomes:

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .\left[\begin{array}{c}5&4&3\end{array}\right][/tex]

To learn more on Matrices click:

https://brainly.com/question/28180105

#SPJ2

your family have decided to paint your room. It took 1/2 hour to paint 1/8 of your room. How long will it take to paint your whole room?

Answers

Answer:

4 hours

Step-by-step explanation:

In  6  hours,  J  paints  1  room

So, in  1  hour,  J  paints  1/6 th of the room

Using similar logic, in  1  hour,  T  paints  1/12 th of the room.

Working together in one hour, they paint  (1/6+1/12) th =1/4  of the room.

1/4  of the room is painted in  1  hour

So,  1  room is painted in  1 1/4=4  hours

Answer:

Step-by-step explanation:           1/7

In science class, a student is measuring the temperature of a solution in science experiment. The solution
started at -3.4 degrees. After two minutes the temperature had increased 12.4 degrees. After a few more
minutes, the temperature decreased 20.4 degrees. After one more minute the temperature increased by
3.2 degrees. What is the final temperature?

Answers

Answer:

-11.8

Step-by-step explanation:

Given:

-3.4 to 12.4        increased  (difference = 15.8)

12.4 to 20.4      decreased (difference = 8)

20.4 to 3.2        increased  (difference = 17.2)

To find:

Final temperature.

Solution:

As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?

Use the difference of the starting result to find the ending result.

3.2 - 15

= -11.8

Therefore, the final temperature is -11.8.

Solve all of them please u get 30 points​

Answers

Step-by-step explanation:

from which text book please

PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!

Answers

Answer:

In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.

Step-by-step explanation:

I hope this helps!

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answers

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

express 1 000 000 in standard form

Answers

Answer:

10^6.

Step-by-step explanation:

There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.

(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?


Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.


Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.


Explain what the solution means in the context of the word problem.

Answers

Answer:

(20 points!!!)

Alanna is going shopping for Goggles and food.

The cost of Goggles is $15 and the cost of each food item is $5.

If Alanna can spend at most $55, how many food items can be purchased?

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Explain what the solution means in the context of the word problem.

Which is a property of an angle?

A-has two sides that each extend forever in both directions
B-has two endpoints
C-has two center points
D-has two rays that share a common endpoint

Answers

The answer is D- has two rays that share a common endpoint
Other Questions
Why is Whittaker Chambers significant to US History? Julie has 300ml of juice, She gives of the juice away.How much juice does she give away? The price of a notebook was 3.70 yesterday. Today, the price fell to 3.20. Find the percentage decrease. Round your answer to the nearest tenth of a percent. soemone helpme please Why should a child be among the first to receive protection and relief? Why is heart disease so prevalent in the United States? What are the adverbs in the sentenceBecause the weather was so cold, everyone rushed inside for some hot chocolate The image shows a bar graph.A bar graph shows a series of 4 vertical bars along an x and y axis.In which scenarios would using this graph be best for a presentation? Select three options.showing energy produced by nuclear power plants in a country each yearcomparing the percentages of the types of pets owned in a community comparing the amount of rainfall recorded over the last four years in a statecomparing the number of men and women who earned engineering degrees in a decadeshowing the percentages of the various religions practiced in Indonesia Sarah practices the piano 1/3 hour in the morning, 5/6 hour in the afternoon, and 4/5 hour in the evening. Can i get some one to help end my scary story make sure it ends scary maybe grammar it too thxsSLAM The door behind me shut,the lights go off ,it was dark,it was too dark,I couldn't see my hands,where I was stepping, I didn't have a clue.Surprised enough I didn't trip. Big enough to be thunder a loud BOOM! I raced down the long room,like a hall,I knew what was coming next all my fears coming true. ZAP , FLASHlighting strikesBOOM BOOM thunder pounds.PitterPatter pitter patter RAIN!, pitter patter Just racing down and down the hall,Splash I trip,I keep movinging,Running,or racing it doesn't matterFLASHZAP pitter patter SplashSame thing kept repeating in my head Dont stop running ,Dont stop running,Dont stop runningDont stop running The louder and louder it got,Dont stop runningDont stop running Dont stop runningI cover my ears Yelling stop stop I keepscattering down the long hall I couldn't stop no I couldn't I heard sirens,maybe they had come for me, wouldn't care about anything just get me out of here! The sirens became louder And Louder And Louder Louder BOOM everythings all is colliding it's too much i'm overwhelming ``''ScreechAn awful cry starts still as hearing dont stop What is happening? I don't know,tick tock tick tock Screech Tick tock tick tock,Boom zapflashpitter patter ticktock,ticktock flashscreechSplashBOOM. SPLASH what was that!,My hands are covered in blood.zapflashtick tockBOOM. tick tock Screech Tick tock tick tock,Boom pitter patter ticktock,ticktock flashscreechSplash SPLASh.I trip, splash I cant bare it. I screamSTOP IT I SAY! JUST STOP! STOP IT drip,drip,drip.I curled up into a ball im lying there,soaked in blood.Crying in the corner,scared to be found,touched or carried.Seconds turn into minutes,minutes turn into hours,the hours turn into days, The days into weeks,weeks into months,The months into years.I feel to as i became to death,I couldn't see, nor hear, if the only thing i could hear, is the same,Tick tick tick tick, zap zap zap zap,tick zap tick zap tick BOOM,FLASH,tick zap zap zap tick,BOOM BOOM,FLASH, Scratch! BOOM FLASH ZAP,BOOM,SCREChThe louder and faster it got ZAP ZAP TICK SCHREACH BOOM BOM FLASH,ZAP,BOOM SCHRECH tick tick ,tick,BOOM FLASH, BOOM! ZAP.it just woulndt stop, it adding on new sounds i knew would come, POUND POUND POUND ZAP SPLASH,SCHEECH,BOOM,FLASH SCHREECH,ZAP ZAP,TICK TICK,POUND SPLASH! BOOM,SQUEAK SQUEAK,TIcK TICK POUND!Starting it again it keeps repeating over and over,BAM BAM Then it comes back, that little voice in my head telling me, to keep going 2. French Vanitta K-Cups that originallycost $5.99 are now on sale for $4.75. Which of the following instances of evidence is properly cited? Question 4 options:For example, Source 1 says, "Studies have linked nonstop video gaming to such ills as carpal tunnel syndrome1 and tennis elbow, not to mention the current obesity epidemic plaguing this nation's young" (Source 1).According to Source 1, "Studies have linked nonstop video gaming to such ills as carpal tunnel syndrome1 and tennis elbow, not to mention the current obesity epidemic plaguing this nation's young" (Stein).In fact, "Studies have linked nonstop video gaming to such ills as carpal tunnel syndrome1 and tennis elbow, not to mention the current obesity epidemic plaguing this nation's young" (Source 1).In fact, "Studies have linked nonstop video gaming to such ills as carpal tunnel syndrome1 and tennis elbow, not to mention the current obesity epidemic plaguing this nation's young" (Stein). Which hormone levels are checked using a urine pregnancy kit to confirm a pregnancy?Which part of the female reproductive system produces ova? 4x + 5y = 65x + 4y = 5The lines areA. perpendicular.B. parallelC. neither Please, can anyone help a teen with her homework?My question is:What is the literacy rate in Sri Lanka?? I need this ASAP! need to submit very soon 50 points! What should I do while I listen to music? It's more of a lowkey kind of music, love/sad songs and such, the occasional upbeat song. what was the common goal of fusionists 6= 2(y+2) i need help on this Which example of community support allows senior citizens the chance to spend time with others?Parks and recreationMeal deliveryHealth servicesChild care A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1 Plz helppppp Ill give fifty points and brainliest if u do it rtIn this task, you will write a critical essay on Tolstoys The Death of Ivan Ilyich (approximately 900 words). You may have previously drafted a similar, shorter essay in a lesson in this unit. If you have, please expand on the shorter essay that you wrote for that lesson by adding critical research and widening its scope. If you did not write a shorter essay, you can start writing from scratch by following the steps included in this task.Here are a few ideas for you to consider while writing your essay. You can pick any one of these or choose a topic of your own to build your essay.How does Tolstoy employ his characters to draw out the difference between the artificial and authentic life?How does Ivan Ilyich perspective towards death change over the course of the novel?How does Ivans suffering affect his attitude towards both life and death?Make sure you consult at least one source from your school or local library and at least two credible Internet sources, and incorporate the information that you gather into your paper. Use information from respected journals or academic or government institutions when looking at online sources to ensure that youre referring to credible sources. Verify if the author that you are quoting is an expert on your chosen subject. Ensure that the author has published many articles in reputed journals and other sources. Also, ensure that the article you want to reference is well cited and has a bibliography at the end. For more advice, read about finding and evaluating credible resources and citations.Also remember to include relevant information from the primary sourceLeo Tolstoys The Death of Ivan Ilyichin your essay as well. You can access the novella by opening up any of the lessons about the The Death of Ivan Ilyich.Include at least one counterargument in your paper. A counterargument or counterclaim captures an idea that those with a differing viewpoint might raise against your claims in the essay. By anticipating such counterclaims and offering a rebuttal, you make your own argument stronger. Read more about organizing your essay and including counterarguments. Ensure that your arguments flow in logical, well-structured paragraphs that reference and directly address counterclaims.After you have finished your essay, create a works cited page that follows the Modern Language Association (MLA) style. You can use this resource guide to prepare your works cited page. Follow the steps mentioned in the Process section below as you work on your essay to see the steps you should follow.ProcessFollow the steps below to complete your essay, and use the resources provided to assist with your research and writing. When you have finished your essay, use the drop box to submit it to your teacher.Gather sources. Before creating your thesis, begin gathering additional sources to build your argument and support your thesis. For each source, consider the following questions:Who authored the document?What is the purpose of the document?When was the document written?How will this document help your argument?Read and evaluate sources. Next, examine each source and think about how you will use it to support a thesis. Be an active researcher by asking the following questions about each source you reference:What is the credibility of the source?Is there any noticeable bias?How does the argument differ from others you have read?What is the value of the source to the topic you are investigating?Develop your thesis statement. Now that you have analyzed sources to use as evidence, revisit the essay question. Then, develop your thesis statement. If you need additional guidance, many writing resources are available to help you create a strong thesis statement.Form your argument. Once you have a clear, strong thesis statement, develop your argument. Make a particular effort to match the evidence in your sources to the points in your argument.Write your essay. As you write your paper, use quotations from and summaries of your sources to support your argument. Be careful to keep the following ideas in mind:To avoid plagiarism, make sure to cite your sources properly with in-text citations as well as a works cited page.When you finish, reread the essay to check for all of the points above, and then proofread it to be sure your work doesnt contain errors in grammar or spelling.