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
blagie [28]
3 years ago
12

A research student is working with a culture of bacteria that doubles in size every

Mathematics
2 answers:
ser-zykov [4K]3 years ago
5 0

Answer:

2^{24}*1000 bacteria

Step-by-step explanation:

The generic form of an exponential function is: f(n)=ar^n , where a is the initial amount, r is the rate, and n is the time.

In this case, the initial amount is 1000, so a = 1000. Also, the rate is 2 because the culture doubles in size every 5 minutes. However, our n is not just n; it's actually n/5 because the rate is doubling per 5 minutes, not per 1 minute. If it was per 1 minute, then the time would simply be n. Unfortunately, that's not the case here, so the exponent of r should be n/5, where n is the number of minutes that have passed.

Now, we have: f(n)=1000(2)^{n/5}

Since n is the number of minutes, we need to convert 2 hours to minutes:

2 hours * 60 min/hour = 120 minutes.

f(120)=1000(2)^{120/5}=1000(2)^{24}=2^{24}*1000f(120)=1000(2)^{120/5}=1000(2)^{24}=2^{24}*1000

Thus, the answer is 2^{24}*1000 bacteria.

Hope this helps!

Feliz [49]3 years ago
4 0

Exponential formula:

Total = start value x 2 ^ time/time it takes to double:

Total = 1000 x 2 ^ 120/5

Total = 1000 x 2^24 Bacteria

Total = 1.67 x 10^10 bacteria

You might be interested in
Please help i don’t understand this
sergij07 [2.7K]

yes it does have enough to cover the cube

8 0
3 years ago
Find the product of 8341 and 235
Fudgin [204]

Answer:

1,960,135

Step-by-step explanation:

Product = ×

Mutiply your 2 numbers: 8341 × 235

Giving you: 1,960,135

6 0
3 years ago
Please help!<br> 5x^2 - 3x - 2 = 0<br> Solve using the zero-factor property.
Alex

Answer:

x = -2/5

x = 1

Step-by-step explanation:

5x² - 3x - 2 = 0

(5x + 2)(x - 1) = 0

⇒ 5x + 2 = 0

⇒ 5x = -2

⇒ x = -2/5

⇒ x - 1 = 0

⇒ x = 1

7 0
3 years ago
Who here watches haikyuu im bo.red and wanna talk about something
gtnhenbr [62]

Answer:

we can talk if you want, and i watch haikyuu too lol (and more animes)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Jamal has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some Sour Straws for $1.50
Simora [160]

Answer: Variable: <u>y= Number of sour straws.</u>

Inequality: <u>7.50+1.50y ≤ 15</u>

Solution<u>: </u><u>y ≤ 5</u>

Step-by-step explanation:

Let  y= Number of sour straws.

Cost for nachos = $7.50

Cost per sour straw = $1.50

Total cost = 7.50+1.50y

Money he has $15

Total cost must be less than orequal to the money he has.

So required inequality: 7.50+1.50y ≤ 15

Subtract 7.50 from both sides

1.5y\leq 7.5\\\\\Rightarrow\ y\leq\dfrac{7.5}{1.5}\\\\\Rightarrow\ y\leq 5

He can buy at most 5 sour straws.

8 0
2 years ago
Other questions:
  • What is the value of x?
    10·1 answer
  • Antwan determines the distance between the points -7 and 2 on a number line
    12·2 answers
  • What are the domain and range of f(x)=-37
    11·1 answer
  • 1)Which of these systems of linear equations has an infinite number of solutions?
    6·1 answer
  • An industrial factory make 2 ¾ yards of chain every minute. The cost of each yard of chain is $4.56. What is the total cost for
    8·2 answers
  • PLEASE ANSWER FAST!<br> you dont have to explain but im trusting on u have a good day
    15·1 answer
  • I = [(x + cos2x = )<br>dx​
    5·1 answer
  • if 33 laptops cost 30,000 dollars, which proportion could be used to determine the cost of 11 laptops?
    6·1 answer
  • A scientist counted 3,921 total eggs in
    9·1 answer
  • What is the sum of the ten thousand digit and the million's digit of 1,234,567,890
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!