plz help me, thank you

A bacteria culture starts with 40 bacteria and the number doubles every 20 mins.
write an equation of an exponential function that models the described situation.

plz show me the working.

Answers

Answer 1

Answer:

[tex]P=40(1.03526)^{t}[/tex]

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P=P_o(1+r)^{t}[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:

[tex]2P_o=P_o(1+r)^{20}[/tex]

Simplifying:

[tex](1+r)^{20}=2[/tex]

Solving for 1+r:

[tex]1+r=\sqrt[20]{2}[/tex]

[tex]1+r=1.03526[/tex]

The exponential function that models the situation is:

[tex]\mathbf{P=40(1.03526)^{t}}[/tex]


Related Questions

In rhombus ABCD , m∠EAB=27∘ .

What is m∠EBC ?

Answers

Answer:

27 degrees

Step-by-step explanation:

is the answer

What is the area of a rectangle with the length of 15.2 inches and a width of 5.05 in. SHOW YOUR WORK and line them up​

Answers

Final Answer: [tex]A[/tex] = [tex]76.76[/tex] [tex]in^2[/tex]

Steps/Reasons/Explanation:

We will be trying to find the area of the rectangle. The formula tells us to multiply width times length. This means that we will multiply our length of 15.2 inches by a width of 5.05 inches to find the area of a rectangle.

The final answer would include [tex]in^2[/tex] because we are multiplying both inches of the length and width to find the area.

Question: What is the area of a rectangle with the length of 15.2 inches and a width of 5.05 in?

Rectangle Area Formula: [tex]Area[/tex] = [tex]width[/tex] × [tex]length[/tex]

[tex]A[/tex] = [tex]15.2[/tex] inches × [tex]5.05[/tex] inches

[tex]A[/tex] = [tex]76.76[/tex] [tex]in^2[/tex]

~I hope I helped you :)~

It’s 76.76 inches squared. I hope this helps.

what is the biggest slime bubble idk why but yeah and pls answer

Answers

Answer:

there is alot of them

Step-by-step explanation:

please answers this​

Answers

Answer:

shusidvxxosbsbzbz

Step-by-step explanation:

usjzkdofjfbf

Answer:

50 degree for X look at pic attached

PLEASE HELP ASAP!!!!!!!!

Answers

Yeah what that guy said above me

SIMPLE CORDINATES. BRAINLIEST, 5 STAR, AND A LIKE IN RETURN. SHOW SOME WORK PLEASE THIS IS DUE SOON.

Answers

Answer:

i think point A ( -3 , 4)

(-3,4)

Select the best estimate of the product of 71 x 28 = ____ 1,300 2,100 3,200 4,500

Answers

Answer:

2100

Step-by-step explanation:

71 ->70

28 ->30

70 * 30 = 2100

HELP ME WITH THIS LINK PLS!!!!!!!

Answers

Answer:

B (x+7=19)

Step-by-step explanation:

We don't know Steve's age, so make his age=x. If his parrot is 19 years old and he's 7 years older than Steve, you would be adding 7 years onto Steve's age. So, to do that it would be x+7=19 or B!

The answer is B ( x+7=19)

1. John Smith has a past due balance of $80 on his account. He called today to pay off his balance in full. You receive 25% commission of his payment to go toward your budget. What is your total commission received from John's payment?

Answers

Answer: $20

Step-by-step explanation:

From the question, we are informed that John Smith has a past due balance of $80 on his account and out of the $80 paid, 25% will be given as commission.

Therefore, the total commission received from John's payment will be:

= 25% × $80

= 25/100 × $80

= 0.25 × $80

= $20

The commission is $20

34+35
yeah baby you gon need a seatbelt when I ride it
imma leave it open like a door come inside it
even tho imma wifey you can hit it like a sidechick
don't need no side **** no

Answers

you know dam well what 34+35 is...

70-1...

68+1....

aaaaaaaaand im gone bye

Answer:

69

Step-by-step explanation:

Got the neighbors yelling it's an earthquake,

4.5 when I make the bed shake

Put it down heavy even though it's lightweight

What happens to the graph of f(x) when it is multiplied
by a negative number less than -1?

Answers

Answer: Your going to multiply what ever it is but it needs to have a “-“ before it as a negative .

I need help with that.​

Answers

Answer:

x=6

Step-by-step explanation:

work is shown in picture

How many solutions does the system have?
2x+3y=−6
3x−4y=−12

Answers

9514 1404 393

Answer:

  1 solution

Step-by-step explanation:

The ratios of x- and y-coefficients are different, so the lines have different slopes. Lines with different slopes intersect at exactly one point. That point is the solution to the system of equations.

There is exactly one solution.

PLZ HELP I TRIED LIKE 20 TIMES AND GOT IT WRONG

Answers

Answer:

(5نغنفنفتغن6نغنص7

76ق3332

54ىكللعغص3تةوعخو

The value would be 57
Hope this helps

i need help with this, anyone wanna help?

Answers

Answer:

C

Step-by-step explanation:

Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

) and B=(3,−2)≡(x  

2

,y  

2

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

+x  

2

 

) and  y=(  

2

y  

1

+y  

2

 

)

Then, x=  

2

1+3

and y=  

2

2−2

 

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Step-by-step explanation:

please help thanks in advance oh and also best answer gets brainliest

Answers

Answer:

third option

Step-by-step explanation:

The triangles have 2 pairs of congruent sides and 2 congruent included angles between the sides.

Thus

Δ ABC ~ Δ DEF by the SAS postulate

There are 130 people in a sport centre.

61 people use the gym.

68 people use the swimming pool.

60 people use the track.

25 people use the gym and the pool.

30 people use the pool and the track.

19 people use the gym and the track.

6 people use all three facilities.

Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

, Natasha worked 7 hours at a diner for $10 per hour last week. She also makes $8 per hour when she babysits. She wants $206 for a prom dress. Create an inequality to show how many hours she must babysit.

Answers

Answer: x ≥ 17

Step-by-step explanation:

We know that she worked 7 hours at a dinner, for $10 per hour last week.

Then in the last week, she did make:

7*$10 = $70

Now she babysits, she wins $8 per hour, then if she works x hours, she will win:

w(x) = $8*x

if we add the $70 that she already had, we have:

$70 + $8*x

And we know that she wants to have, at least, $206, then we can write the inequality.

$70 + $8*x ≥ $206.

Now let's solve this for x.

first, we can subtract $70 in both sides:

($70 + $8*x) - $70 ≥ $206 - $70

$8*x ≥ $136

now we can divide by $8 in both sides:

($8*x)/$8 ≥ $136/$8

x ≥ 17

This means that she must babysit for at least 17 hours if she wants to buy the dress.

What is 25% of 16.4?

Answers

25 percent of 16.4 is 4.1

Answer:

25/ 100 × 16.4 (25 and 100 is cancelled by 5)

5/20 × 16.4 ( 5 and 20 are cancelled by 5)

4 ÷ 1 6.4

The answer will be 4.1...

I hope this helped you..

Can I please get some real help on this question?

Answers

Yeas ofcourse just sign up form brainly premium

GEOMETRY) Please solve for X! plspls​

Answers

Step-by-step explanation:

so the answer is would be X = 15

Correct !!!!!!!!!! Please give me thanks

In figure below alb, m<1 = 78°, and m<2 = 47°.
Find measure of each angle.

Answers

Answer:

m∠3 =  102°

m∠4 =  102°

m∠5 =  78°

m∠6 =  133°

m∠7 =  47°

m∠8 =  47°

m∠9 =  133°

m∠10 =  102°

Step-by-step explanation:

Lines a and b are parallel and

m∠1 = 78° and

m∠2 = 47°

m∠3 = 180 - m∠1 = 180 - 78 = 102°

m∠4 = m∠3 = 102°

m∠5 = m∠1 = 78°

m∠6 = 180 - m∠7 = 180 - m∠2 = 133°

m∠7 = m∠2 = 47°

m∠8 = m∠2 = 47°

m∠9 = 180 - m∠8 = 180 - 47 = 133°

m∠10 = 180 - m∠1 = 102°

A scuba diver is 20 feet below the surface of the water 14 seconds after he entered the water and 100 feet below the surface after 30 seconds.  What is the scuba divers rate of change?

Answers

Answer:

1 foot = 0.7 secs

Step-by-step explanation:

14 seconds divided by 20 feet = 0.7 seconds per foot descended.

Hope this helps and good luck :)

(x+5)(x-2) Expand and simpliy

Answers

Step-by-step explanation:

x(x-2) +5(x-2)

x² -2x + 5x -10

x² + 3x - 10

Answer:

the answer is x^2 + 3x - 10 I guess!

Step-by-step explanation:

This is an algebraic equation so-

If V= 12.8 when P= 500, determine the constant of variation

Answers

Answer: 12.8 × 500 =k

6400=k

Step-by-step explanation:

Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?

On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, negative 2) and (2, 0). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above and to the right of the line is shaded.

On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (2, 0). Everything above the line is shaded.

On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (3, 0). Everything above the line is shaded.

On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.

Answers

Answer:

D, or the last graph.

Step-by-step explanation:

I got it right when I was doing the assignment :)

From the information given regarding the graph, it should be noted that correct option about the graph of the system is D. On a coordinate plane, 2 dashed lines are shown.

What is a graph?

It should be noted that a graph is a mathematical diagram which shows the relationship between two or more sets of numbers.

In this case, on a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.

Learn more about graphs on:

https://brainly.com/question/24372553

Help me please!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

that symbol means <= which means x is less than OR equal to  5/2

I NEED HELP ,PLAESE AYUDAAAAA POR FAVOR

Answers

Answer:

Step-by-step explanation:

First off, if side BC and side EC are congruent, then this is an isosceles triangle. It then goes to follow by the Isosceles Triangle Theorem that angle EBC is also 67 degrees. By the Triangle Angle-Sum Theorem then, angle BCE is 180 - 67 - 67 which is 46 degrees. Angle BCE is supplementary to angle FCA which means they add up to equal 180, so angle FCA is 180 - 46 = 134.

Angle FCA = 134

Pls solve... will give brainliest... linear inequality

Answers

This is what I got for #3 and have attached for you!

Please helppppp!!!!!!!!

Answers

Answer: I think it's B

Step-by-step explanation: You can use the answer if you want.

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