A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began
with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth
function f(t) = ger and give your answer to the nearest whole number. Show your work.

Need the answer ASAP

Answers

Answer 1

Answer: 2430 bacteria.

Step-by-step explanation:

When we have a quantity A, and we have an increase of the X%, the new quantity can be written as:

A + (X%/100%)*A

In this case, we have A = 10 bacteria.

And X% = 200%.

Then if we start with 10 bacteria.

After one day, we will have:

10 bacteria  + (200%/100%)*10 bacteria

= 10 bacteria + 2*10 bacteria = 3*10 bacteria.

After another day, we will have:

3*10 bacteria + (200%/100%)*(3*10 bacteria)

3*10 bacteria  + 2*(3*10 bacteria)

3*(3*10 bacteria)

10 bacteria*(3)^2

We already can see the pattern here.

After t days, we will have:

10 bacteria*(3)^t.

This is the equation f(t) we wanted:

f(t) =10 bacteria*(3)^t

after 5 days, we will have:

f(5) = 10 bacteria*(3)^5 = 2430 bacteria.


Related Questions

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

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sry u can’t help anything with you i just got off work i is right

Nathan's family took a road trip to Mount Rushmore. Nathan fell asleep 9% of the
way through the trip. If Nathan fell asleep after they had travelled 54 miles, what was
the total length of the trip?

Answers

Answer:

600

Step-by-step explanation:

10x-3Y=-150

how do you solve and graph?

Answers

add 3y to both sides

10x = -150 +3y

subtract -150 from both both sides

10x + 150 = 3y

then divide both sides by 3 (and going to switch the two sides cuz i prefer it that way)

y = (10/3)x + 50

so for graphing you take the y intercept

which is 50 and put a point there

slope (10/3) is rise/over run

so going down and to the left from your y intercept (cuz the slope is positive) count 10 then go over 3

put a point

do it again

then for the other way go up 10 and over 3

that’s graphing

i’ll graph it too but it’ll be sloppy so i figured i’d explain it too

(-4 + 3i)(-12 + 6i)
Simplify expression

Answers

Answer:

=30−60i

Step-by-step explanation:

30-60i is the answer I put it through Photomath it’s right

Which expression represents the phrase " the difference of 18 and 12"?

Answers

Given:

The statement is "the difference of 18 and 12".

To find:

The expression for the given statement.

Solution:

We have,

Given statement = The difference of 18 and 12.

We use subtraction, to find the different between two numbers and subtraction is represented by negative sign. So, we need to subtract second number form the first number.

The difference of 18 and 12 = 18 - 12

Therefore, the required expression for the given statement is 18-12.

A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60

Answers

Answer:

C. The number of multiple-choice questions plus the number of

short-answer questions is 15.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of multiple-choice questions

y is the number of short-answer questions.

Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.

This means that:

[tex]2x + 5y = 60[/tex]

The test has 15 questions.

This means that:

[tex]x + y = 15[/tex].

Which means that option C is the correct answer.

Answer:

C. The number of multiple-choice questions plus the number of short-answer questions is 15.

Step-by-step explanation:

x + y = 15

On a hot day, a football team drank an entire 50-gallon cooler of water and half as much again. How much water did they drink?


Jada has 12 library books checked out and Han has one third less than that. How many books does Han have checked out?

Answers

Hi there :)

So since they initially drank 50 gallons, half of that is 25 gallons. 50+25= 75, therefore they drank 75 gallons.

Jada has 12 library books and 1/3 of that is 4, because 12 divided by 3 is 4, so 12-4=8. That means Han checked out only 8 books.

Good luck with the rest of your assignment, have a good day/night!!

What’s the decimal as a persent

Answers

Answer:

37/50

Step-by-step explanation:

74/100

37/50

Answer:

37/50

Step-by-step explanation:

37 ÷ 50 = 0.74

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 for lunch and snacks each week (5 school days). What is the cost of each snack? Write and solve an equation to model the situation. SHOW EVERY STEP.

Answers

Answer: 1.25

Step-by-step explanation: 28.75 ÷ (5 school days) so for one day the cost is $5.75 then subtract $4.50 and you get 1.25

i have a feeling this is it

Find the area of the following shape:

Answers

Answer:

52 m²

Step-by-step explanation:

A(trap) = 1/2h · (sum of bases)

A = 1/2(8)·(3 + 10)

A = 4(13)

A = 52


This cuboid is made from 6 small cubes,
Write how many small cubes there are in this cuboid

Answers

Answer:

6 small cubes

Step-by-step explanation:

given in cuboid made from 6 small cubes

Answer:

in a cuboid, there is a total of 36 cubes

Step-by-step explanation:

because, There are 3 layers in total, so three layers of 12 cubes. 12 x 3 = 36 so there are 36 cubes inside the cuboid.

have a wonderful day

(the answer is for this cuboid)

100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amount she should pay?
Answer the question or don't type at all.

Answers

Answer:

$78 i think

Step-by-step explanation:

20%=20/100

20/100x65=13

13+65=78

$78


A line that includes the points (-9,-5) and (-10, j) has a slope of -10. What is the value of J

Answers

Answer:

j = -15

Step-by-step explanation:

Given that,

A line that includes the points (-9,-5) and (-10, j) has a slope of -10.

The slope of a line for which two points are given is :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\-10=\dfrac{j-(-5)}{-10-(-9)}\\\\10=\dfrac{j+5}{-10+9}\\\\10=\dfrac{j+5}{-1}\\\\-10=j+5\\\\j=-10-5\\\\j=-15[/tex]

So, the value of j is equal to -15.

PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)
- 16t2 + 50t + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t= 0 and t = 2?

A.36 Seconds per second
seconds per second
B.-36 feet per second
C.-18 seconds per second
D.18 feet per second

Answers

I think it’s B hope it’s right

Need this turned in by tonight. Solving for x. My brain is fried, I have been doing math for the last 4 hour.Help!!!!!

Answers

Answer:

18. x = 24.519. x = 421. x = 10

Step-by-step explanation:

Corresponding sides have same ratio

Q18

7/6 = x / (27- 6)6x = 7*21x = 147/6x = 24.5

Q19

(x + 5)/15 = (5x + 1)/35(x + 5)/3 = (5x + 1)/77(x + 5) = 3(5x + 1)7x + 35 = 15x + 315x - 7x = 35 - 38x = 32x = 4

Q21

(x + 6)/24 = (2x - 2)/27(x + 6)/8 = (2x - 2)/98(2x - 2) = 9(x + 6)16x - 16 = 9x + 5416x - 9x = 54 + 167x = 70x = 10

over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.

the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

Answers

Answer:

D

Step-by-step explanation:

-2.25 x 3 = 6.75

the temperature decreased by 6.75 after 3 hours

Answer:

The temperature decreased by 6.75 degrees Fahrenheit.

Step-by-step explanation:

This is answer choice D because the Start of Temperature is:

70F

Start Time: 9AM

(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)

What is the slope of a line with the cords (-3,2) (-1,-1)

Answers

Answer:

X2 = 1.0792

Y2 = 2.0594

ΔX = 4.0792

ΔY = 3.0594

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

OR

X2 = -7.0792

Y2 = -4.0594

ΔX = -4.0792

ΔY = -3.0594

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

What is the approximate area of the circle shown below?
A. 11.0 cm2
B. 220 cm2
C. 154 cm2
D.38.5 cm2

Answers

I think C is the answer
the answer to the question is c

I can't simplify

5-2(-4x+10)-5x​

Answers

Answer:

5-2(-4x+10)-5x----open brackets and multiply

5+8x-20-5x----combine like terms

8x-5x+5-20

3x-15

3(x-5)

Answer:

Simplified : 3x - 15

Step-by-step explanation:

5 - 2(-4x + 10) - 5x

5 + 8x - 20 - 5x

5 + 3x - 20

3x - 15

What is the value of the expression (2)^6?
pls help ​

Answers

Answer:

64

Step-by-step explanation:

2^6, or 2⁶, is two to the power of six.

Basically you multiply the bottom number (in this case 2) by itself as many times as the the number in the top right (in this case six)

2^6=2*2*2*2*2*2=64

Answer: 64

Step-by-step explanation:

2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 = 64

2 ⋅ 2 ⋅ 2 = 8

2 ⋅ 2 ⋅ 2 = 8

8 x 8 = 64

An atom of which element is represented by this model Answer(ps if you dont have ther awnser dont say anything at all got it)​

Answers

Answer:

Im back XD

Step-by-step explanation:

In the figure below, angle X is 35 degrees. What is the measure of angle Z?

Answers

Answer:

Z = 45 degrees

Step-by-step explanation:

the angle is still an acute angle but it is not a right angle so it must be 45 according to my calculations. plz mark brainliest

What’s the answer pls

Answers

Answer:

25%

Step-by-step explanation:

What is the value of 16 • 2-2?

Answers

Answer:

= 30

Step-by-step explanation:

Compute 292,000 divide 100

Answers

Answer:

Step-by-step explanation:

is pretty simple

292,000/100=2,920

BONJOUR asker

Answer:

2920

Step-by-step explanation:

292000 divided by 100 is 2920

#CarryOnLearning

heyoitzmeh from Philippines

you can foIlow me in my brainly in Philippines

Here is a rectangle with some right triangles inside it. Which triangles are similar to triangle AED?

Answers

The triangle that is similar to this triangle from the given rectangle is triangle FED

Similar shapes

Similar shapes are shaped with similar sides and angles. From the given diagram, we are to determine with the triangle is similar to the triangle AED.

This means we need to determine which of the triangles has similar sides as triangle AED

The triangle that is similar to this triangle from the given rectangle is triangle FED

Learn more on similar shapes here; https://brainly.com/question/2644832

What is the measure of angle M?

Answers

Answer:

35°

Step-by-step explanation:

4x+11 = 5x-24

5x-4x=x

x=24+11

x=35


It is a collection or set of units or
entities from whom we got the data.
universe
variable
population
sample​

Answers

Answer:

Population.

Step-by-step explanation:

Population can be defined as a collection or set of units or entities from whom we got the data.

This ultimately implies that, a population is the larger set from which other units can be picked from.

Hence, a population is an entire collection of outcomes or objects from which we can obtain or collect data. For example, the number of new born babies in a hospital, a country and the total number of football players in a soccer league.

Population = Movies.

Subset (sample) = comedy movies, horror movies, romance movies, and action movies.

You complete two events of a triathlon. Your goal is to finish with an overall time of less than 100 minutes. a. Select an inequality that represents how many minutes x you can take to finish the running event and still meet your goal. Then solve the inequality. swimming-18.2 biking-45.5

Answers

Umm I honestly don’t know but I can try and help you

4(x+4) + 2x = 52 need answer

Answers

Answer:

x=6

Step-by-step explanation:

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Rectangle FGHJ has diagonals FH and JG that intersect at M. If FJ=3x+5y, FM=3x+y, GH=11, and GM=13, find the values of x and y. Explain your answer. The breasts are on the anterior (ventral) surface of the body. What was the initial issue that created a division for the Muslims? Which of the following is an example of chemical energy being used? 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Emma has been asked to write and reflect on the theme of law maintaining order in society. She is using this passage from The Jungle Book."Open those eyes, Little Brother! Shere Khan dares not kill thee in the jungle for fear of those that love thee; but remember, Akela is very old, and soon the day comes when he cannot kill his buck, and then he will be leader no more. Many of the wolves that looked thee over when thou wast brought to the Council first are old too, and the young wolves believe, as Shere Khan has taught them, that a man-cub has no place with the Pack. In a little time thou wilt be a man.""And what is a man that he should not run with his brothers?" said Mowgli. "I was born in the jungle; I have obeyed the Law of the Jungle; and there is no wolf of ours from whose paws I have not pulled a thorn. Surely they are my brothers!"Which writing sample is the best reflection of this important theme?Good friends are an important part of life. 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