The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours

Answers

Answer 1

Answer:

240

Step-by-step explanation:

According to law of exponential growth,

[tex]y=y_0e^{kt}[/tex]

Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.

Now, the initial population is 240 bacteria.

Put [tex]y_0=240[/tex]

So,

[tex]y=240e^{kt}[/tex]

The population after 12 hours is double the population after 1 hour.

[tex]y(12)=2y(1)[/tex]

[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]

(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])

So,

[tex]y=240e^{0}=240\\y=240[/tex]

Therefore,

Number of bacteria after 3 hours = 240


Related Questions

Easy question right here!

Answers

12 glad I could help!

Answer: z=-9.5

Step-by-step explanation: -9.5/2=-4.75

I WILL MARK BRAINLIST
Question 9

Answers

Answer:

True

Step-by-step explanation:

True because I did that one too

what is 2+2 my brain has been in circles about this

Answers

Answer:

hey  welcome to Brainly, and 2 + 2 = 4

Step-by-step explanation:

2+2=4

3+3=6

4+4=8

5+5=10

and so on just keep adding 2

p – 22 < 40 . could you give me the answer and the steps thank you!

Answers

Answer:

the answer is 62

Step-by-step explanation:

ok so all you do is add 22 instead of subtracting 22

The expression factors as: (n4 + 3)(n4 + 3)
(n4 - 3)(n4 + 3)
(n4 – 3)(n4 – 3)

Answers

Answer:

(n 4)

Step-by-step explanation:

Answer:

B - the second one (on EDGE)

Step-by-step  :

Is line / parallel to line m? Explain.
Note: Not drawn to scale

Answers

Parallel lines are defined to be two lines that will never intersect even when they go on infinitely. Think of it like railroad tracks. The rails must always be parallel, or the train will gets stuck. By observing lines L and M, you'll notice both lines make perfect railroad tracks, and they will never intersect. These lines are parallel.

Two forces are acting on an object, one at 58 Newton's and the other at 83 Newton's.
The resulting force is 105 Newton's. What is the angle between the resulting force and
the larger of the two original forces?

Answers

I’m trolling in this bih ;) u finna see me everywhere now :)

8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew

Answers

Answer:

$17.80

Step-by-step explanation:

This is a fairly simple question. All we need to do is find the difference between the two amounts.

$94.30 - $76.50 = $17.80

a family rents a cottage for $79.95 a day for 7 days. about how much does the family pay for the cottage?

Answers

They will pay $559.65,rounded will be $560.00.


Hope this helped <3

Answer:

$560

Step-by-step explanation:

Since the family rents a cottage for 7 days, 79.95 dollars each day, we multiply 79.95 by 7 and get 559.65. Since the question asks about how much does the family pay, we round 559.65 to get $560.

What is the solution to this equation?
3x-9 = 12
O A. x = 1
B. x = 7
O c. x = 9
O D. x = 63

Answers

the answer would be x = 7

The chart below contains the results of a survey in which students were asked about their cell phone plan.

Cell Phones Plans
Plan
Students
No cell phone
20
Voice only
14
Voice and texting
12
Voice, texting, and data
4

What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
If you get it right you get the crown brain thing

Answers

Answer:

It is option C.

Step-by-step explanation:

I did the test.

Answer:

it c

Step-by-step explanation:

i did the unit test hope this helps :)

Which two numbers below have a least common multiple of 48?

Answers

Answer:

its 3 and 16 just trust me

The least common multiple is divisible by both a and b. The two numbers below have a least common multiple of 48 is 3 and 16.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The two numbers below have a least common multiple of 48 are,

3 and 16 ⇒ 3×16=48

Hence, the two numbers below have a least common multiple of 48 is 3 and 16.

Learn more about LCM:

https://brainly.com/question/20739723

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A new hard drive costs $225, plus $40 per hour for labor. The linear equation y = 40x + 225 gives the cost y in dollars for x hours of labor. If Jane has $385 to spend on computer repairs, using plug and chug strategy for x hours of labor, what is the maximum number of hours the computer technician can work?

Answers

Answer:

Step-by-step explanation:

225+40h=y

225 + 40x = 385

-225 -225

------- -------

40x = 160

x= 4

E
Learning Task 2. Give the reciprocal of the given fractions below.
Write your answer in your notebook.
6
1.
6.
2
8.
7
2. 7
7.
1
2
8
3.
8.
4
4
33-
5
als -|- ||-|-
5
4. 41
9.
5
6
5.
1
10. 1
54
5
5
A
Reciprocals represent two numbers whose product is one. Multi-6/8​

Answers

The correct format of the options are

(1) 6/8                    (6) 2/7

(2) 7/2                    (7) 1/8  

(3) 33[tex]\frac{4}{5}[/tex]                    (8) 4/5

(4) 41                      (9) 5/6

(5) 54[tex]\frac{1}{5}[/tex]                    (10) 1/5

Answer:

Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg [tex]\frac{6}{8}[/tex] reciprocal is [tex]\frac{8}{6}[/tex], on multiplication [tex]\frac{6}{8}[/tex]*[tex]\frac{8}{6}[/tex] =1

Reciprocal of the following are as follows

(1) [tex]\frac{8}{6}[/tex]  

(2) [tex]\frac{2}{7}[/tex]

(3) 33[tex]\frac{4}{5}[/tex]  =[tex]\frac{ 33*5 + 4}{5}[/tex] = 169/5 =>  reciprocal = 5/169

(4) 1/41

(5)  54[tex]\frac{1}{5}[/tex] => [tex]\frac{54*5 +1}{5}[/tex] = 271/5 => 5/271

(6) 7/2

(7) 8

(8) 5/4

(9) 6/5

(10) 5

A 6-kilogram bag of cat food costs $21.54. What is the unit price?

Answers

Answer:0.27855153

A

0.04642525

kilograms per dollar

Step-by-step explanation:

9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6

Answers

Answer:

x=3.2

Step-by-step explanation:

4(6 – x) + 4 = 2 (3x + 1) – 6

24 - 4x + 4 = 6x + 2 - 6

28 - 4x = 6x -4

-4x - 6x = - 4 - 28

-10x = - 32

divide both sides

x = 16/5 or x = 3.2

hope this helps :)

point A is located in which quadrant 1 2 3 or 4​

Answers

Answer:

I THINK 2

Step-by-step explanation:

Answer: (-3, 5) :  Quadrant 2

Which expression is equivalent to y^3-2y^2+y

Answers

Answer:

the first one i did it yesterday

Help

Brainliest in reward

Please name both angles

Answers

1st is obtuse, 2nd is acute

is 0.75 repeating irrational or rational

Answers

Answer:

This is a rational decimal and is not a repeating decimal.

Step-by-step explanation:

A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same as the column space of A.

Answers

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

                       

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

                   = b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

                   = b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

If the simple interest on ​$3000 for 3 years is ​$720 ​, then what is the interest​ rate?

Answers

Answer:

8%

Step-by-step explanation:

Starting Principal: $  

3,000.00

Years:    

3

Annual Interest Rate:    

8

%

 

Results

Future Value, using...

 Simple Interest: $  

3,720.00

 Annually Compounded Interest: $  

3,779.14

A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft

Answers

Answer:9 ft

Step-by-step explanation:

The requried measure of the AB is given as 7ft. Option B is correct.

What are Pythagorean triplets?  

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9

Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft

Thus, the requried measure of the AB is given as 7ft. Option B is correct.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

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find the original price of a pair of shoes if the sale price is $40 after a 60% discount

Answers

Answer:

Thus, the original price of the pair of shoes was $100.

Step-by-step explanation:

Percentages

After a 60% discount, the sale price is now valued at 100-60=40% of its original price.

If the sale price is $40, then the original price is calculated as

$40 / 40 * 100 = $100

Thus, the original price of the pair of shoes was $100.

Verify applying 60% discount:

$100 - 60*$100/100 =  $40

1) The membership fee of Math Club is P25. What is the total amount
paid by 1,252 members?
A. P 31,250
B. P 31,252
C. P 31,230

Answers

Answer:

it's actually none of those the answer I have is p 31,300

How do break down what is the percentage of change in cost of the pizza

Answers

Annsjsnsns sjjejskwnw isjejejej siiejekwknwjes

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.

How many milliliters are in 3 gallons?

Answers

Answer:11,356

Step-by-step explanation: that is the answer! I’m sure

Answer:11.355

Step-by-step explanation:

IF UR GOOD AT PRECALC PLEASE HELP

Answers

Answer:

Answer is C, u can find this just by looking at domain

The answer is C hope this helps

What is 82,199 rounded to the thousands

Answers

Answer:

82.20

Step-by-step explanation:

Find the solutions to the equation below.
Check all that apply.
6x2 + 7x -5 = 0
A. x = 1/3
B. x = 5
c. x = -5/3
D. x = -1/3
E. x = 1/2
F. x = -2

Answers

Answer:

A and C

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero

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