Mathematics High School

A colony of bacteria starts with 50 organisms and quadruples each day. Write an exponential function, P(t), that represents the population of the bacteria after t days. Then find the number of bacteria that will be in the colony after 5 days.​

A Colony Of Bacteria Starts With 50 Organisms And Quadruples Each Day. Write An Exponential Function,

Answers

Answer 1

Answer:

50(4)^t

Step-by-step explanation:

Answer 2

The exponential function is  50 x [tex](4)^t[/tex] and after 5 days the population of bacteria is 12800

What is Exponential Function?

An exponential function is a Mathematical function in the form f (x) = [tex]a^x[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given:

A colony of bacteria starts with 50 organisms and quadruples each day.

let the t be the number of day.

So, After t days the population of the bacteria

= 50 x [tex](4)^t[/tex]

Now, After 5 days the population is

t =5

= 50 x [tex](4)^t[/tex]

= = 50 x [tex](4)^5[/tex]

= 50 x 256

= 12800

Learn more about Exponential Function here:

https://brainly.com/question/14355665

#SPJ2

Related Questions

Plz help.
Will give brainliest answer.

Answers

Step-by-step explanation:

If cats are 10 and dogs are 4 means cats are 6 more than dogs means 4+6 = 10

so 5-6 = -1

32+6= 38

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Plz help if you could I would appreciate it :)

the highlighted ones only​

Answers

Step-by-step explanation:

this is the process to convert to the perfect square.

try to bring convert to (x-a)^2 or (X+a)^2

I've done 2 questions hope it gives u the basic idea .

Using the figure below, find x if Z2 = 14x + 58 & 27 = 10x + 66.
M
9
1/2
43
516
78
b
*Hint: Follow the steps for finding angle measurements by relationships
5
14
6
2

Answers

Oh yeah lol I wowww

How many different states have you visited?

Answers

Answer:

Pfffft only one. I went to California

Step-by-step explanation:

Answer:

i am an alpha male so i have visited all of the states i know i know calm down ladies you all dont need to see me at one. (for legal reasons this is a joke)

Step-by-step explanation:

Clyde made lasagna for dinner last night and 1/3 of it was left over clyde will share the leftover lasagna equally with his brother for lunch what diagram could they use to find the fraction of the whole lasagna that each will have for lunch?

Answers

Answer:

hwlllo

Step-by-step explanation:

A rabbit weighs 2.8 kg.
After being shot its weight
is increased by 1%.
How much does it
weigh now?

Answers

Answer:

The rabbit now weighs 2.828 kg.

Step-by-step explanation:

First we have to do 2.8 ÷ 100 to see how much 1% of the rabbit weighs.

2.8 ÷ 100 = 0.028 kg

1% of 2.8 is 0.028! Now we have to add 0.028 to 2.8 to get our answer!

2.8 + 0.028 = 2.828 kg

The rabbit now weighs 2.828 kg.

2.
Evaluate the following mixed numbers, then simplify.
7 1/2 divide 1 1/8

Answers

When you divide you get 6.666667 then in fraction it is 20/3 so in mix number 6 2/3.
either use a calculator or convert into improper fractions

7 1/2=15/2
1 1/8=9/8

so now do 15/2 divided by 9/8

turn 9/8 into reciprocal
its gonna be 8/9
then multiply

15/2 times 8/9

15*8=120
2*9=18

120/18 is your answer but simplify it or else teachers will be annoying

simplify it by 6 cause its the gcf (greatest common factor)

120/6=20
18/6=3

20/3 is ur answer as improper fraction
6 2/3 is ur answer as whole number
6.6 repeating is ur decimal

hope this helps

Please help ...............

Answers

b
im not so sure tho

Which answer describes the type of sequence?


99, 33, 11, 113, ...



neither arithmetic nor geometric

arithmetic

geometric

Answers

Answer:

Geometric

Step-by-step explanation:

r=1/3

is this a function or not​

Answers

Answer:

No, I don't think so.

Step-by-step explanation:

I don't think this is a function because the triangle is made of multiple points. Some of these points share the same x point, so this concludes that a triangle on a graph is not a function.

Hope it helps!

I will mark you as the brainiest if you get this correct

Answers

Answer:

a is 0.49875 (but round it)

and b is 0.465

so b is a better deal

Step-by-step explanation:

Answer:

3.99$ divided by 8=0.50cents

50 cents per a battery

Step-by-step explanation:

6 batteries for 2.79 is a better buy

2.80 divided by 6 =46 cents per a batter

HELP ME PLEASE ILL MARD U BRAINLY

Answers

Answer:

its 3

Step-by-step explanation:

Answer:

3

with some remaining.

Step-by-step explanation:

5×6=30

30÷8=3.75

The following stem-and-leaf plot represents the scores earned by Mr. Roberts's class on their most recent science test. What is the mode of the scores? 78 81 92 100

Answers

Hey!

Sorry for this late response...

I actually had this same question

so the answer is : 81

~hope this helps~

Answer:

The answer is 81

Step-by-step explanation:

The diagram shows three squares, P Q R S , T U V W and W X Y Z . Angles P U V and Q Y X are 62 ∘ and 74 ∘ respectively. What is angle V W X ?

Answers

Answer:

44

Step-by-step explanation:

180 - (62 + 74) = 44

(-5,-3) (5,5)
slope
What is the slope ?

Answers

Answer:

The slope is 10/8

Step-by-step explanation:

You would rise 10 units and you would run 8 units.

What is the probability he will roll a 5?

Answers

Answer:

hurt himself if he is 5 pieces away from jail in monopoly and this is his 9th time

Step-by-step explanation:

PLEASE ANSWER QUICK I NEED HELP

Answers

Answer:

I think c?

Step-by-step explanation:

the answer is c!!!

explanation sindkdksksjdkdjdjej

brailnsliest would help

Write a linear function that relates y to x .


y=

Answers

Answer:

y = x-2

Step-by-step explanation:

find the slope. 0,-2 and 2,0

0- -2 / 2-0 = 1

y-0 = 1(x-2)

y = x - 2

In the diagram, AB = AC and ∠DCE = 75°, BCD and ACE are straight lines. ∠BAC =

Answers

Again, what is the shape?

Nathaniel was given a large box of 24 chocolates for his birthday. If he
eats exactly 2 chocolates each day, how many chocolates would
Nathaniel have remaining 8 days after his birthday?

Answers

24 - (2 x 8)
24 - 16 = 8

find the perimeter or circumference and area of each figure and round to the nearest tenth​

Answers

Answer:D hope this helps :)

The temperature is −18.2 Celsius in South Dakota and -9.7 Celsius Minnesota. Which one of the following inequalities correctly compares the temperatures? Choose 1 answer: Which one of the following descriptions is correct?​

Answers

Answer:

A and A

Step-by-step explanation:

please mark brainliest.

Answer:

A and A

Step-by-step explanation:

The admission fee to the Omnitheatre is $f. The admission fee to the Science Centre is $3 less. Jessica purchases 8 tickets to the Science Center. What is the admission fee to the Science Centre if she pays the cashier $122? *​

Answers

Answer:

98

Step-by-step explanation:

3 times 8=24

122-24=98

plz somebody help me asap i need help

Answers

Answer:

False, True, Falso True

Step-by-step explanation:

Slope is 3/1 or 3

Line hits (0,-5)

answers ASAP plsssssss

Answers

Answer:

Step-by-step explanation:the answer is option A as 1 • 3 =3 and 3+4=7

Solve for x: 4x + 3 = -21

PLS CAN SOMEONE ANSWER THIS FAST‼️‼️

Answers

Answer:

x = -6

Step-by-step explanation:

subtract 3 from -21 which is -24

then divide -24 by 4

Answer:

Add 33 to both sides.

4x=1+3

4x=1+3

2 Simplify  1+31+3  to  44.

4x=4

4x=4

3 Divide both sides by 44.

x=1

x=1

Step-by-step explanation:

I need help with this question

Answers

Answer:

120

Step-by-step explanation:

that is an isosceles triangle so all angles are equal to 60

x is supplementary with the angle that is equal to 60  meaning that the two angles added with equal 180

180-60=120 so x=120

What are the solutions of the equation (x−9)2=64?

Answers

Answer:

17,1

Step-by-step explanation:

I just did this question on the benchmark

Jocelyn was given a box of assorted chocolates for her birthday. Each night, Jocelyn treats herself to some chocolates. The number of chocolates remaining in the box tt days after Jocelyn's birthday can be modeled by the equation C= -3t+30. What is the x-intercept of the equation and what is its interpretation in the context of the problem?

Answers

9514 1404 393

Answer:

"x-intercept": t = 10the chocolates will be gone after 10 nights

Step-by-step explanation:

The "x-intercept" is the value of the independent variable (t, in this case) such that the value of the dependent variable (C) is zero. We can find it by solving the equation ...

  0 = C

  0 = -3t +30

  0 = -t +10  . . . . .  divide by 3

  t = 10 . . . . . . . . . add t

The value of t is the number of days Jocelyn has been eating the chocolates. When t=10, C =0. The number of chocolates remaining in the box will be zero after 10 days.

Answer:

The x-intercept of the function is 10 which represents the number days after Jocelyn's birthday until all of the chocolates are gone.

Step-by-step explanation:

Since there were 0 chocolates remaining after 10 days, the x-intercept of 10 represents the number of days until the box of chocolates was empty.

Have a good day :)

Given the similarities statement HIJ ~ WXY which angle corresponds with

Answers

Answer:

I

Step-by-step explanation:

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