b. Maria is watching cell growth in a lab. The cells double every 30 minutes. If there were 3 cells
initially, how many cells are there in 5 hours

Answers

Answer 1

Answer:

  3072

Step-by-step explanation:

The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...

  y = (initial value) × (growth factor)^(t/(growth period)

  y = 3 × (2^(t/(1/2)) = 3×2^(2t)

After 5 hours, the number of cells will be ...

  y = 3×2^(2·5) = 3×2^10 = 3×1024

  y = 3072

There are 3072 cells in 5 hours.

_____

Additional comment

The function could be simplified to ...

  y = 3×4^t


Related Questions

How do you solve the Goldbach's Conjecture?

Answers

Answer:

Every integer greater than 5 can be written as the sum of three primes.

Step-by-step explanation:

Every integer greater than 5 can be written as the sum of three primes.

The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.

Answers

Price after 9% increased 1800
Price before increase 1800-9%*1800
=1638

the students in mr reed's english class are reading the same 760 page novel. Three friends alice, bob and chandra, are in the class. Alice reads a page in 20 seconds, bob reads a page in 45 seconds and chandra reads a page in 30 seconds. Before chandra and bob start reading. Alice says she wants to team read with them. If they divide the book into three sections so that each reads fore the same amount of time, how many seconds will each have to read?

Answers

Answer:

please rate and mark as brainlest.

Step-by-step explanation:

alice will have 5067 seconds,

bob will have 11400 seconds

chandra will have 7600 seconds.

first, divide 760 by 3 to get 253.33, then just multiply each value of seconds for each person to get their value, and round.

please rate and mark as brainlest.

PLEASE HELP
Which is the graph of f(x) = 1/4 (4)x?
No links

Answers

Answer:

3rd

Step-by-step explanation:

Answer: graph 3

Step-by-step explanation:

What time is it on the clock?

Answers

Answer:

About 2:18

The minute hand points toward the [tex]\frac{1}{4}[/tex] marker, meaning that is 15 minutes.Count the other ticks, and that's 18.Since the hand is not exactly on the 3, that means it is 2:00

With this information, we can make a hypothesis or come to a conclusion that the clock says 2:18

Use the information given to answer the question.
which two inequalities represent the constraints for the art studio classes
per week?
an art studio offers classes for painting and pottery. each painting class is 1
2+ y = 40
hour long. each pottery class is 1.5 hours long. the art studio is only open
0 2 +1.5y = 40
for classes a maximum of 40 hours per week, and only one class is offered at
o +1.5y > 40
35(2 + y) < 1,000
a time. each class costs $35,and the art studio earns a minimum of $1,000
35(x + y) > 1,000
per week from all classes. let be the number of painting classes offered per
calculator
week, and let y be the number of pottery classes offered per week.

Answers

The two inequalities that represents the constraints for the art studio classes per week are:

x + 1.5y = 40

35(x + y)  > 1,000

What two inequalities represent the constraints?

Here are inequalities signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

= means equal to

The inequality that represents the total hoursthe art studio is open would be an equal to sign. This is because the store is open for a maximum of 40 hours.

The inequality that represents the total earnings would be represented with a greater than sign because the studio earns more than $1000 weekly.

To learn more about inequality, please check: https://brainly.com/question/5031619

A vase is in the shape of a rectangular prism. It has a base area of 40
square inches and a height of 10 inches. The vase is filled to the top with
water and emptied into a fish tank. The fish tank is also shaped like a
rectangular prism. How much more water would be needed to fill the fish
tank to the top?

Answers

Answer:

40/10

Step-by-step explanation:

The amount of water needed to fill the fish tank to the top is 400 inch³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the fish tank be = V

Let the base area of the rectangle be A = 40 inch²

Let the height h of the rectangle be h = 10 inches

Now , the volume of the vase = volume of fish tank

So , the volume of fish tank is calculated from the formula,

Volume of fish tank = base area of the rectangle x height h of the rectangle

Substituting the values in the equation , we get

Volume of fish tank = 40 x 10 inch³

On simplifying the equation , we get

Volume of fish tank = 400 inch³

Therefore , the value of V is 400 inch³

Hence ,

The amount of water needed to fill the fish tank to the top is 400 inch³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ2

What is the relationship between the ratios? 10/24 and 5/12 Proportional Not proportional (the numbers are fractions)

Answers

Answer:

Proportional

Step-by-step explanation:

[tex]\frac{10}{24}= \frac{5}{12}[/tex] the ratio is 2:1

5 x 2 = 10

12 x 2=24

The ratios are proportional.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

Answer:

The given ratios are proportional

Step-by-step explanation:

To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;

[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]

When using cross multiplication, we get;

[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]

[tex]\implies 10 \times 12 = 24 \times 5[/tex]

When simplified, we get;

[tex]\implies 10 \times 12 = 24 \times 5[/tex]

[tex]\implies 120 = 120 \ \checkmark[/tex]

Therefore, the relationship is proportional.

How can we write the domain and range for a function that is not piece-wise such as y=x?​

Answers

Answer:

(−∞,∞)

Step-by-step explanation:

For every x value there is, there is an equivalent y value, thus there are infinite x and y values that satisfy this equation.

Hope this helps!!!

154-54(79-1554)+12x24

Answers

Answer:

80092

Step-by-step explanation:

Answer:

80092.

Step-by-step explanation:

Given equation:

154 - 54 * (79 - 1554) + 12 * 24

Step-By-Step:

Step 1

Subtract the numbers:

154 - 54 * (79 - 1554) + 12 * 24= 154 - 54 * (-1475) + 12 * 24

Step 2

Multiply the numbers:

154 - 54 * (-1475) + 12 * 24= 154 + 79650 + 288

Step 3

Add the numbers:

154 + 79650 + 288= 80092.

Answer is 80092.

choose the name of highlighted part​

Answers

Face is the correct answer

Please help me with this please and thank you

Answers

answer:
(-2,1)
-1,2
0,4
1,8
2,16

HELP ASAPPP
Inga, Kai, and Jason volunteer in the school library. They want to find the average number of pages of a library book. It would be unreasonable to calculate the number of pages in every book to find the average. They decide they need to find a valid sample.
Inga suggests choosing 100 books from the history section to get a sample.
Kai suggests randomly selecting 100 books from the library’s entire catalog.
Jason suggests using 100 books from the teen fiction section to get a sample.
Who suggested the best way to produce a random sample that is not biased?

Answers

Answer:

Kai suggested the best way to produce a random sample that is not biased

Step-by-step explanation:

Answer:

The answer is Kai suggested the best way to produce a random sample that is not biased

Step-by-step explanation:

A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Answer:

4021.76

Step-by-step explanation:

v= πr^2h

3.142x8×8×20

Write a function rule for the relationship between the amount of plant food remaining, f), and the number of days that have passed, Type the correct answer in the box 0 B 2 ve CSC Eco 109 f(x) =​

Answers

Answer: f(x) = 72-12x

Step-by-step explanation: Hope it helps

On your way to a tournament, you meet six knights, each accomplished by six squires. Each squire leads two horses by reins, and on each horse are seated two young children. How many people and animals are going to the tournament?

Answers

Answer:

72

Step-by-step explanation:

Answer: 12 animals 36 people , in total 48 its so easy just adding and multiplying :)

Step-by-step explanation:6 knights 6 squires =12,  then animals human people 6 time animals 2 is 12 animals then more humans 2 times 12 the horses is 24 in total add up humans 24+12=36 and animals is 12 so 36 people, and 12 animals in total 36+12 is 48

-4x - 8 = -(5x + 3) pleasee

Answers

hopefully it's correct!!

Answer:

x = 5

Step-by-step explanation:

-(5x + 3) --> -5x - 3

-4x - 8 = -5x - 3

-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)

-4x = -5x + 5

-4x + 5x = -5x + 5 + 5x (add 5 to both sides)

x = 5

I need help on this problem, i checked some that I think might be right, could I get some help on it?

Answers

I don’t know what the answer is

Answer:

You are right

Step-by-step explanation:

A giraffe runs at a rate of 32 miles per hour. Which equation models the situation?

h = time spent running, in hours
d = distance run in miles
32h = d
32d = h
h = 32 + d
h = 32 – d

Answers

*Whenever a questions asks about “rate”, time should always be the denominator*
Think also about the speed = distance / time equation
In this case rate basically means speed
Answer: 32h = d because when you rearrange you will get d/h = 32 where distance over hours = speed which in this case is 32 mph

Answer:

32h=d

Step-by-step explanation:

yea, this is big brain time lol

also edge lol

a customer wants you to enlarge a photo to 2 3/4 its current height. the photos current height is 3 1/4 inches. what should its enlarged height be in inches?

Answers

this a a joke...

haha goodbye

Answer:6 inches

Step-by-step explanation:

A 5.2 pound package of chicken costs $11.90. What is the cost per pound?

Answers

Answer:

$2.29

Step-by-step explanation:

1. Divide $11.90 by 5.2

2. 11.90➗5.2 = 2.88 but you round the number so it will be 2.29

Hope this helps :)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]

Let's solve ~

Surface area of Cylinder :

[tex]\qquad \sf  \dashrightarrow \:2\pi r(r + h)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \pi \times 5(5 + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 \pi(9)[/tex]

[tex]\qquad \sf  \dashrightarrow \:90 \pi[/tex]

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

Answer: x>38

Step-by-step explanation:

By the exterior angle theorem, x=39+38=77.

find the hcf by prime factorization method of 18 and 24​

Answers

Answer:

6

Step-by-step explanation:

Prime factorization of 18 = 2 × 3 × 3

Prime factorization of 24 = 2 × 2 × 2 × 3

Common factors of 18 and 24 = 2 × 3 = 6

HCF (18,24) = 6

Write the equation of a line that passes through the point (-4,-5) and is perpendicular to the line y= -1/2x+5

Answers

Answer:

Step-by-step explanation:

First let us determine the perpendicular line by remembering that a perpendicular line that intersects with the current line must have the opposite reciprocal slope as it. Meaning... the current slope is -1/2 and the opposite reciprocal is +2 or 2.

To clarify...

*opposite= the opposite sign ex. the opposite of +3 is -3 and the opposite of -1 is +1

*reciprocal=put simply, the reciprocal is the flipped version of the current number ex. the reciprocal of 1/2 is 2/1 or 2 and the reciprocal of 3 or 3/1 is 1/3

After we determine the slope of the perpendicular line, we are also know the point it must pass through.

Given that, we can find the equation.

Using y=mx+b

Plug in known varibles

y=-5

x=-4

m=2

b=?

-5=2(-4)+b

b=3

So now that we have b, we can put the equation in standard form.

y=2x+3

Hope this helps!!!

Find the area of the trapezoid

Answers

A=a+b
2h=42+36
2·24=936

A bag contains 12 toffees. Kate eats 3 toffees and Josh eats 4 toffees.
What fraction of the toffees are left?

Answers

Answer:

5/12

Step-by-step explanation:

3 + 5 = 7

12/12 - 7/12 = 5/12

Answer:

total toffees=12

remaining toffees=12-(4+3)

=12-7

=5

fraction of toffees left

= 5/12

Omar thinks his pet goldfish, Finn, might be lonely. So, Omar buys another goldfish to keep Finn company. He also buys a large 10-gallon tank so the two fish can swim together. If Finn currently lives in a 2-quart fish bowl, how many times bigger is his new tank than his old bowl?

Answers

Answer:

i think 20 times bigger  

Step-by-step explanation:

Answer:

times 20

Step-by-step explanation:

2 quart to 10 gallon

4 quarts= 1 gallon

So 2quarts x 20 quarts= 40 quarts= 10 gallons

I am so confused. Help.

Answers

[tex]\large\sf\underline{ANSWER:}[/tex]

√3

x is the length of the third side

x²+1² = 2² { Pythagorean Theorem}

x²+1 = 4 {Simplify}

x²=3 {Subtract 1 from each side}

x=√3 {Take the square root of each side}

The Length of the third side is √3

#[tex]\large\sf\underline{CarryOnLearning}[/tex]

Find the product.
(5 – 3z)(5 + 3z) =
(Simplify your answer.)

Answers

Answer:

25 - 9(z)²

Step-by-step explanation:

Hope this helps :)

25-9z (I use follicle Method)
Other Questions
In Romeo and Juliet is juliet obligated to her parents . line d has a slope of 7/3. line e is perpendicular to line d. what is the slope of line e? write fatalistic in a sentence. THIS IS DUE TODAY PLEASE HELP Complete with the correct adjective taking note of the gender of the noun. The raft of the medusa by theodore gericault. a raft crafted from the destroyed ship medusa floats at sea with living and dead bodies. why is the above painting representative of the romantic period? a. it contains a high contrast of light and dark. b. it is highly emotional, idealized, and full of feeling. c. it depicts a scene of love. d. all of the above please select the best answer from the choices provided a b c d If you wanted to melt ice, then heat it up, and get the water to just barely vaporize, how many equations would you need to solve for the energy used in this procedure? According to the article, what is most beneficial about biornetricpalm scanning in school lunch lines?A. fiscal responsibilityB. increased rights of privacyC. increased safetyD. decrease in sharing lunch cardsE. more nutritious lunch foodF. more freedom for students 6- Circle the correct questions.On visit to tell Coast of Florida , Steve will see thea- Atlantic Oceanb- Arctic OceanC- India Oceand- Pacific Ocean what is 12x + 11y - 4x -5y Underline the adjectives, including articles, in each of the following sentences.The number at the end of each line indicates how many adjectives are in each sentence. 1) The Kingdom of Heaven is like a man who traveled to a far country. (4) 2) He called his own servants and delivered unto them his goods.(3) 3) To one he gave five talents, but to another he gave two talents. (2) Select the equivalent expression.-324)(9) 9=?62 Based on this selection, the code of conduct createdby Cheng I was unique in itsAharsh punishments.Bpermissive standards. Sheeccentricity.Dcompleteness. Use the drop-down menus to identify whether each phrase is the subject, central idea, or a key detail in this paragraph.Some people are more susceptible to food poisoning: Food poisoning: Pregnant women, older adults, and persons with chronic illnesses: A lake is 85 feet across using scale 1 inch :4 feet how many inches An architect draws a blueprint of the newly modeled kitchen. The scale used is 1 inch = 4 feet. If the length of the kitchen is 6 inches, and the width of the kitchen is 3 inches, what are the actual dimensions of the kitchen?A. 4 feet by 6 feetB. 6 feet by 3 feetC. 20 feet by 18 feetD. 24 feet by 12 feet the coordinating grid shows points L, M, N, and O. all the coordinates for these points are integers. what is the value of the x-coordinates of point M HELP PLEASE!!!Write what you observe. What do you think it means. Why do you think someone would make street art about this? Is this about a topic? What is the range of this data set? 64, 72, 74, 68, 70, 68, 68, 75, and 44 Which dynasty controlled the North China Plain and the Northern region ofthe Chang Jiang Basin 3. Describe comets and their orbits in the solar system.