A scientist creates a colony of bacteria in a dish. This type of
bacteria duplicates itself per minute.
If at 9am the experiment started with a single cell and at 9:13
the dish was half-full, at what time will the dish be full?

Answers

Answer 1

Answer: 9:14

Step-by-step explanation: So if he started if 1 bacteria, it becomes 2 bacteria at 9:01, etc. So at 9:13, it is 2^13 and if that is half, that means 2^14 is when it is full so 9:14.

Answer 2

The dish will be full at  9:14 am.

Given, the bacteria duplicates itself per minute.

The experiment started with a single cell at 9 am and at 9:13 am the dish was half full.

So it is clear that after 13 minutes of experiment started the dish was half full.

Now, let here is only 1 bacteria in the dish which is duplicating per minute,so after 1 minute it becomes 2 after that it becomes 4 and after that it becomes 8. Hence it is clear from the example the bacteria doubles itself in powers of her minute. ([tex]2^x[/tex])  here x is the number of minute.

Since after 13 minutes the dish was half full, it means there are [tex]2^{13}[/tex] bacteria in the dish. hence the full dish is [tex]2^{14}[/tex] bacteria. so the bacteria will take 1 more minute for the dish to be full.

Hence at 9:14 am the dish was full.

For more details follow the link:

https://brainly.com/question/11897796


Related Questions

A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you chose tiles with the letters A,B,C?

Answers

Answer:

1/26

Step-by-step explanation:

Total no. of tiles = 26

In each tile , a different alphabet is written.

And we need 3 tiles (in which A , B & C are written in it) in one try.

So the probability of choosing tiles with letters A , B & C ( in one try ) = 1/26

During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?

Answers

Answer:

Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

. $0.30 is your answer.

How do you write.09 in words?

Answers

Answer:

zero point 9

0 and nine tenths

Step-by-step explanation:

Given the vectors shown, find the sum (P+Q+R).

Answers

128 because it rly easy

The segment with endpoints (-1,4) & (2,8) has a distance of

Answers

Answer:

5

Step-by-step explanation:

(X1,Y1) = (-1,4)

(X2,Y2) = (2,8)

108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)

Answers

Answer:

-44

Step-by-step explanation:

108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)

= 108 ÷ 9 x (-12) ÷ 6 - (20)

= 12 x (-12) ÷ 6 - (20)

= -144÷ 6 - (20)

= -24 - (20)

= -44

What is the domain in interval notation. do not include any spaces in your answers! Type in the word infinity if needed

Answers

Answer:

(-6,5]

Step-by-step explanation:

Domain includes all of the x-values a function contains. In this case, it goes from -6 to 5. The open dot on the left indicates that this number is not included in the answer, and in interval notation you would use a parentheses. The filled in dot on the right coordinate indicates that this number is included, so you would use a bracket.

(-6,5] and step but step

the sum of two numbers is 58. The larger number is 22 more than the smaller number. What are the numbers?

Answers

the two numbers are 40 and 18

c(a + b)- d = f, for a

Answers

Hopes this helps you out

Answer:

Step-by-step explanation:

C(a + b) = f + d

a + b = (f + d)/C

a = (f + d)/C - b

PLEASEEE HELPPP

Solve for x:

Answers

Second option, just do Pemdas backwards.

34+987=what please help

Answers

Answer:

1021

Step-by-step explanation:

i added 34 +987 and got 1021

1021 because 34+987= 1021

If f (x) = 3x − 4, Find f (−1) Helpp

Answers

Answer:

f(x) = 3x-4

f(-1)= 3(-1) -4

f(-1) = -3-4

= -7

hope this helps uh!

Answer:

f(-1)= -7

Step-by-step explanation:

We are given the function:

f(x)=3x-4

We want to find f(-1). We must plug -1 in for x and solve.

f(-1)= 3(-1)-4

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Multiply 3 and -1.

f(-1)= -3 -4

Subtract 4 from -3.

f(-1)= -7

f(-1) is equal to -7.

Solve the following equation: 3x - 7 = 9 + 2x.
A)12
B)16
c)20
d)24

Answers

answer:
B

the equation:
3x-7=9+2x

step 1: subtract 2x from both sides
x-7=9

step 2: add 7 to both sides
x=16

Answer:

Option B

Step-by-step explanation:

[tex]3x - 7 = 9 + 2x\\\\3x-7+7=9+2x+7\\\\3x = 9 + 7 + 2x\\\\3x=16+2x\\\\3x-2x=16+2x-2x\\\\\boxed{x=16}[/tex]

Hope this helps!

K(h-j)+10’ if h= 7, j=-8, and k=5

Answers

Answer:

49

Step-by-step explanation:

5(7-8)+10

49

it's equals 49

Each day Tania decides to do something nice
for 2 strangers. What is the relationship
between the number people helped and days.

Write a Recursive and Explicit equation.

Answers

Answer:

Recursive:

[tex] a_1 = 2; a_n = a_{n-1} [/tex]

Explicit:

[tex] a_n = 2 [/tex]

Step-by-step explanation:

She helps the same number of people every day, 2.

Recursive:

[tex] a_1 = 2; a_n = a_{n-1} [/tex]

Explicit:

[tex] a_n = 2 [/tex]

Please help. I don’t understand this math problem.

Answers

Answer:

(7) The value of -j is 9.

(8) The value of -(-j) is -9.

(9) The value of (-j)(-j) is 81.

Step-by-step explanation :

Part 7:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j).

-j = - (-9) = 9

The value of -j is 9.

Part 8:

Given algebraic expression is:

j = -9

Now we have to determine the value of -(-j).

- (-j) = - [-(-9)] = -9

The value of -(-j) is -9.

Part 9:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j)(-j).

(-j)(-j) = [- (-9)] ×  [- (-9)] = 9 × 9 = 81

The value of (-j)(-j) is 81.

The data below were obtained from an experiment were participants were given drinks with or without caffeine and then asked to tap their fingers. The data for 20 participants are below. Assume the number of taps per minute is normally distributed. The variance is unknown. Find a 95% CI for μ number of taps. Identify the pivot function used. 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242

Answers

Answer:

The  95% confidence interval is  [tex]244.26 < \mu < 246.95[/tex]  

The pivot function used is  

           [tex]t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }[/tex]

Step-by-step explanation:

From the question we are told that

  The  data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242

  The  sample  size is  [tex]n= 20[/tex]

   

Given that the confidence level is 95% then the level of significance is

      [tex]\alpha = (100 - 95)\%[/tex]

      [tex]\alpha = 0.05[/tex]

The  degree of freedom is mathematically represented as

    [tex]df = 20 -1[/tex]

    [tex]df = 19[/tex]

From the student t-distribution table  the critical value of  [tex]\frac{\alpha }{2}[/tex]  is  

          [tex]t_{\frac{\alpha }{2} , 19 } = 2.093[/tex]

The mean is mathematically represented as

          [tex]\= x = \frac{\sum x_i}{ n}[/tex]

         [tex]\= x = \frac{246+ 242 +248+245+ 250+ 244+252+ 248 +248 +247+ 250+ 248+ 246+ 242 +248 +244 +245 +246+ 250+ 242}{20}[/tex][tex]\= x = 246.6[/tex]

The standard deviation is mathematically represented as

            [tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2)}{n} }[/tex]

           [tex]\sigma = \sqrt{\frac{(246- 246.6)^2 +(242- 246.6)^2 +(248- 246.6)^2 + (248- 245)^2+}{20} } \ ..[/tex]

             [tex]\ ...\sqrt{\frac{(250-246.6 )^2+ (244- 246.6)^2+(252- 246.6)^2+ (248- 246.6)^2+ (248- 246.6)^2+}{20} } \ ...[/tex]

              [tex]\ ..\sqrt{\frac{(247- 246.6)^2+ (250- 246.6)^2+ (248-246.6)^2+ (246-246.6)^2+ (242-246.6)^2+ (248-246.6)^2+ (244-246.6)^2+}{20} } \ ...[/tex]       [tex]\sqrt{\frac{ (245-246.6)^2+ (246-246.6)^2+ ( 246-246.6)^2 + ( 250-246.6)^2+ ( 242-246.6)^2 +( 246-246.6)^2+ ( 242-246.6)^2 }{20} }[/tex][tex]\sigma = 2.87411[/tex]

The margin of error is mathematically represented as

       [tex]E = t_{\frac{\alpha }{2} , 19} * \frac{\sigma }{\sqrt{n} }[/tex]

      [tex]E = 2.093 * \frac{2.87411 }{\sqrt{20} }[/tex]

      [tex]E = 1.345[/tex]

The 95% confidence interval is mathematically represented as

       [tex]\= x - E < \mu < \= x + E[/tex]

=>   [tex]245.6 - 1.345 < \mu <245.6 + 1.345[/tex]

=>    [tex]244.26 < \mu < 246.95[/tex]  

The pivot function used is  

           [tex]t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }[/tex]

     

Nathan is stocking bathrooms at the hotel where he works. he has 18 rolls of toilet paper and 9 bars of soap. if he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock

Answers

I would say 3 because 18/3 is 6, and 9/3 is 3. So you could put 6 rolls of toilet paper in each bathroom and three bars of soap. I probably just got this wrong but hope I helped out :)

Determine if the following relations represent y as a function of x. x=y^4

Answers

Answer:

x = y⁴ does not represent y as a function of x

Step-by-step explanation:

Let's first isolate this equation for the 'y' value :

[tex]\mathrm{Switch\:sides} : y^4=x,\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)} : y=\sqrt[4]{x},\:y=-\sqrt[4]{x}[/tex]

So as you can tell, we have two functions. However, they can be rewritten as one function, y = ± ⁴√x. As we have two values of x that correspond to one value of y, this relation is not a function.

Solution: x = y⁴ does not represent y as a function of x

Perform row operations: The three elementary row operations can be performed in MATLAB using the following commands Type I: A([i,j], :)=([j,i],:) interchanges row i and row j Type II: A(i,:)=2*A(i,:) multiplies row i by a Type III: A(i, :)=A(i, :)+ q*A(j,:) multiplies row j by a and adds it to row i Enter the following matrix: [ 3 5 4 -12 -23 -14 6 4 14] Perform row operations in MATLAB that reduce the matrix A to Row Echelon Form. Use format rat.

Answers

Answer:

The solution and the calculation is shown on the first uploaded image

Step-by-step explanation:

solve this equation
3x+6=-2-2x

Answers

Answer:

x = -8/5

x = -1.6

Step-by-step explanation:

3x+6=-2-2x

Add 2x to each side

3x+2x+6=-2-2x+2x

5x+6 = -2x

Subtract 6 from each side

5x+6-6 = -2-6

5x= -8

Divide each side by 5

5x/5 = -8/5

x = -8/5

x = -1.6

is 1 1/2 a rational number?

Answers

yes. It would be an irrational number if it didn't repeat in a pattern.

hope it helps comment if u have any questions

Answer:

Yes.

Step-by-step explanation:

Yes 1 [tex]\frac{1}{2}[/tex] is a rational number because because it can be converted to a decimal, which is 1.5

Answer to this PLEASE GOD BLESS YOU

Answers

Answer:

the answer to this question is b

Write the next 4 digits in the repeating decimal 4.715

Answers

Answer:

4.7157157

Step-by-step explanation:

because it is a repeating decimal, it will repeat the terms that come first such as 715.


What is the value of the expression below when y = 5?
4y2 – 7y - 6

Answers

Answer: 371

Step-by-step explanation:

Answer:59

Step-by-step explanation:

The area can be found by multiplying the side lengths that are 6 units & 4 units

Answers

Answer:squares area is. 24

Step-by-step explanation:

6×4 = 24

The height off the ground, in feet, of a certain baseball that travels through the air is given by the equation h = 3.5 + 68t - 16t^2, where t is measured in seconds. Find the height off the baseball, to the nearest foot, when t = 4 seconds.

Answers

Answer:

20 feet

Step-by-step explanation:

Plug in 4 as t in the equation:

h = 3.5 + 68t - 16t^2

h = 3.5 + 68(4) - 16(4²)

h = 3.5 + 272 - 256

h = 19.5

So, the height of the basketball is 20 feet

Help please TYSM IF YOU DO!

Answers

Answer:

I think it is mean

Step-by-step explanation:

because mean would be the average of the scores

Answer: The mean

Step-by-step explanation:

The mean will show the average of the teams scores.

Round 10.999244792948 to the nearest whole number

Answers

Answer:

11

Step-by-step explanation:

1. Listing Information

The number is 10.999244792948.

Simply put, numbers below 5 are rounded down and numbers that are greater than or equal to five are rounded up.

The tenths place value in 10.999244792948 is 9.

2. Solving the Problem

With the previous information in mind, 9 is greater than 5. Because of this, 10.999244792948 should be rounded to 11.

What is the sum?

−1.5+1.9

Enter your answer, as a decimal, in the box.

Answers

Answer:

0.4

Step-by-step explanation:

Answer: it's 0.4 as a decimal

Step-by-step explanation:

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