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
Liula [17]
1 year ago
14

A bacteria culture starts with 1000 bacteria and the number doubles every 40 minutes. (a) find a formula for the number of bacte

ria at time (b) find the number of bacteria after one hour (c) after how many minutes will there be 50000 bacteria?​
Mathematics
1 answer:
vfiekz [6]1 year ago
5 0

The formula for the number of bacteria at time t is 1000 x (2^t).

The number of bacteria after one hour is 2828

The number of minutes for there to be 50,000 bacteria is 324 minutes.

<h3>What is the number of bacteria after 1 hour?
</h3>

The exponential function that can be used to determine the number of bacteria with the passage of time is:

initial population x (rate of increase)^t

1000 x (2^t).

Population after 1 hour : 1000 x 2^(60/40) = 2828

Time when there would be 50,000 bacteria : In(FV / PV) / r

Where:

  • FV = future bacteria population = 50,000
  • PV = present bacteria population = 1000
  • r = rate of increase = 100%

In (50,000 / 1000)

In 50 / 1  = 3.91 hours x 60 = 324 minutes

To learn more about exponential functions, please check: brainly.com/question/26331578

#SPJ1

You might be interested in
A sample of bacteria is decaying according to a half-life model. If the sample begins with 800 bacteria, and after 13 minutes th
nikklg [1K]

Answer:

56.42 minutes

Step-by-step explanation:

The initial sample= y0 = 800

After 13 minutes , amount = 320

Y= y0e-kt

320 = 800e-k(13)

320/800 = e-k13

0.4 = e-k13

In0.4 = -k13

-0.91629= -k13

0.07048= k

Y = 800e-0.07048t

Minutes when the bacterial present will be 15

15 = 800e-0.07048t

15/800= e-0.07048t

0.01875 = e-0.07048t

In 0.01875 = -0.07048t

-3.97656 = -0.07048t

-3.97656/-0.07048= t

56.42 = t

56.42 minutes

3 0
3 years ago
Eliza falls asleep at 9:35 pm and wakes up 8 hours and 45 miunets later, what time does she wake uo
alexdok [17]

Answer: Eliza wakes up at 6:25 A.M.

Step-by-step explanation:

What I did is first used the 45 minutes to make the time 10:00 P.M. which leaves you with 8 hours and 25 minutes, then i added the 8 hours onto 10:00 P.M. which leaves you at 6:00 A.M. with 25 minutes left, then you add the 25 minutes onto 6:00 A.M. which puts it at 6:25 A.M.

6 0
3 years ago
What is the average rate of change between (3,2) and (1,9)
hjlf

Answer:

-0.25

Step-by-step explanation:

1-3= -2

9-2= 8

-2/8= -0.25

7 0
2 years ago
There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the
liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0
3 years ago
Find the product. (n + 7)2
nlexa [21]
<span>(x-7)^2 = (x-7)(x-7) = x^2 -7x -7x +49 = x^2-14x+49</span>
answer is 'x^2+14x+49'
4 0
3 years ago
Other questions:
  • R=8.4mi find the Circumference to the nearest 10th with pi being 3.14
    9·1 answer
  • Please help me with this radical expression​
    15·1 answer
  • I was having a hard time with this one as well. ASAP​
    15·2 answers
  • Hi guys what is 6 divided by 2(1+2 )
    12·1 answer
  • NEED THIS ASAP PLZZ
    15·1 answer
  • How to do this question plz answer me ​
    5·2 answers
  • If $5000 is deposited at the beginning of every six months into an account that earns 8% compounded semiannually find the amount
    14·1 answer
  • Find the value of x and round to the nearest tenth
    8·1 answer
  • If f(x)...............
    15·2 answers
  • Cos 90 - 2sin45 + 2tan180
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!