1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
juin [17]
3 years ago
10

Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacter

ium and triples in number every 20 minutes. How many bacteria will the colony contain at the end of 24 ​hours?
Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.

Step-by-step explanation:

Since we have given that

Number of bacteria initially = 1

It triples in number every 20 minutes.

So, \dfrac{20}{60}=\dfrac{1}{3}

So, our equation becomes

y=y_0e^{\frac{1}{3}k}\\\\3=1e^{\frac{1}{3}k}\\\\\ln 3=\dfrac{1}{3}k\\\\k=\dfrac{1.099}{0.333}=3.3

We need to find the number of bacteria that it will contain at the end of 24 hours.

So, it becomes,

y=1e^{24\times 3.3}\\\\y=e^{79.1}\\\\y=2.25\times 10^{34}

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.

You might be interested in
2=5x+4-3+5-1 what is the answer for this question
klio [65]
The answer will be x= -3/5
3 0
3 years ago
Factor.<br> 22 – 7x - 30
polet [3.4K]

-8 - 7x is the factored version.

7 0
3 years ago
Read 2 more answers
The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Use the y-intercept, (0, 62), a
kotegsom [21]

Answer:

y = 3x + 62

Step-by-step explanation:

Trend line equation in the form :

y = mx + b

m = slope

b = intercept

Using the points :

(0, 62) ; (6, 80)

Slope, m = Rise / Run = (y2-y1) / (x2 - x1)

y2 = 80 ; y1= 62 ; x2 = 6 ; x1 = 0

m = (80 - 62) / (6 - 0)

m = 18 / 6

m = 3

Intercept, b = value of y when x = 0

(0, 62) ; hence, b = 62

y = 3x + b

y = 3x + 62

3 0
3 years ago
Find the common difference of the arithmetic sequence - 11,-16, -21, ...<br> ?<br> Answer.
saveliy_v [14]

Answer:-26 is the next number

Step-by-step explanation:you just -5

6 0
2 years ago
You decide to market your own custom computer software. You must invest $3255 for computer hardware, and spend $2.90 to buy and
rodikova [14]
You need to sell 363 if i did my math right 
7 0
3 years ago
Other questions:
  • How to solve 12x=-24
    5·2 answers
  • Which relationship between x and y in the equation shows a proportional relationship?
    6·2 answers
  • Can you reduce 7 over 28
    5·2 answers
  • For 5th grade which equation provides the best estimate of the product of 1.7 and 3.2
    7·1 answer
  • HDW calculate distance on the coordinate grid?
    13·1 answer
  • What fractions are equivalent to 25/45
    11·2 answers
  • Use the law of sines to find the length of side c.
    6·1 answer
  • Decide if the following biconditional statement
    11·2 answers
  • Solve for x. Please help quick, it’s my last question for my test
    14·1 answer
  • HELP PLEASE!!!! <br> WILL GIVE BRAINLIEST <br> ANY LINKS OR WRONG ANSWERS WILL BE REPORTED!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!