The surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell. Express S as a function of r.

Answers

Answer 1

Answer:

[tex]S(r)=4\pi r^2[/tex].

Step-by-step explanation:

It is given that, the surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell.  

We need to express S as a function of r.

Let r be the radius of the cell and S(r) be the surface area of single-celled organism when radius is r.

According to the question,

[tex]S(r)=4\pi \times r^2[/tex]

[tex]S(r)=4\pi r^2[/tex]

Therefore, the required function is [tex]S(r)=4\pi r^2[/tex].


Related Questions

Answer to this PLEASE GOD BLESS YOU

Answers

Answer:

the answer to this question is b

During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?

Answers

Answer:

Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

. $0.30 is your answer.

108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)

Answers

Answer:

-44

Step-by-step explanation:

108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)

= 108 ÷ 9 x (-12) ÷ 6 - (20)

= 12 x (-12) ÷ 6 - (20)

= -144÷ 6 - (20)

= -24 - (20)

= -44

the sum of two numbers is 58. The larger number is 22 more than the smaller number. What are the numbers?

Answers

the two numbers are 40 and 18

G(n) = n^2 +4n find g(2)

Answers

Answer:

12

Step-by-step explanation:

G(2)= 2^2 +4(2)

Solve via order of operations

G(2)=4 +8

G(2)=12

is 1 1/2 a rational number?

Answers

yes. It would be an irrational number if it didn't repeat in a pattern.

hope it helps comment if u have any questions

Answer:

Yes.

Step-by-step explanation:

Yes 1 [tex]\frac{1}{2}[/tex] is a rational number because because it can be converted to a decimal, which is 1.5

Solve the following equation: 3x - 7 = 9 + 2x.
A)12
B)16
c)20
d)24

Answers

answer:
B

the equation:
3x-7=9+2x

step 1: subtract 2x from both sides
x-7=9

step 2: add 7 to both sides
x=16

Answer:

Option B

Step-by-step explanation:

[tex]3x - 7 = 9 + 2x\\\\3x-7+7=9+2x+7\\\\3x = 9 + 7 + 2x\\\\3x=16+2x\\\\3x-2x=16+2x-2x\\\\\boxed{x=16}[/tex]

Hope this helps!

solve this equation
3x+6=-2-2x

Answers

Answer:

x = -8/5

x = -1.6

Step-by-step explanation:

3x+6=-2-2x

Add 2x to each side

3x+2x+6=-2-2x+2x

5x+6 = -2x

Subtract 6 from each side

5x+6-6 = -2-6

5x= -8

Divide each side by 5

5x/5 = -8/5

x = -8/5

x = -1.6

5. Solve the following equations for the indicated variable.
a. 5(3x + 7)=20-2(x +1) for x
b. 2x - y= 24 for y
c. m(3 – 4m)= 7+4(8 – m2) for m
d. 5x(x + 3) =(x)(5x – 3) + 36 for x

Answers

Answer:a) x =−1

B) x=1/2y+12

C) m=13

D) x=2

Step-by-step explanation:a) Let's solve your equation step-by-step.

5(3x+7)=20−2(x+1)

Step 1: Simplify both sides of the equation.

5(3x+7)=20−2(x+1)

(5)(3x)+(5)(7)=20+(−2)(x)+(−2)(1)(Distribute)

15x+35=20+−2x+−2

15x+35=(−2x)+(20+−2)(Combine Like Terms)

15x+35=−2x+18

15x+35=−2x+18

Step 2: Add 2x to both sides.

15x+35+2x=−2x+18+2x

17x+35=18

Step 3: Subtract 35 from both sides.

17x+35−35=18−35

17x=−17

Step 4: Divide both sides by 17.

17x/17=−17/17

x=−1

B) Let's solve for x.

2x−y=24

Step 1: Add y to both sides.

2x−y+y=24+y

2x=y+24

Step 2: Divide both sides by 2.

2x/2=y+24/2

x=1/2y+12

C) Let's solve your equation step-by-step.

m(3−4m)=7+4(8−m2)

Step 1: Simplify both sides of the equation.

−4m2+3m=−4m2+39

Step 2: Add 4m^2 to both sides.

−4m2+3m+4m2=−4m2+39+4m2

3m=39

Step 3: Divide both sides by 3.

3m/3=39/3

m=13

D) Let's solve your equation step-by-step.

5x(x+3)=x(5x−3)+36

Step 1: Simplify both sides of the equation.

5x2+15x=5x2−3x+36

Step 2: Subtract 5x^2 from both sides.

5x2+15x−5x2=5x2−3x+36−5x2

15x=−3x+36

Step 3: Add 3x to both sides.

15x+3x=−3x+36+3x

18x=36

Step 4: Divide both sides by 18.

18x/18=36/18

x=2

What is the average density of a laptop?

Answers

Throughout all laptops and desktops what is the standard pixels per inch (PPI) used? Does it vary throughout screen ratio? I found mine to be 100ppi



Hope that helps

Please answerrr I need help with hw and I still can't solve this!!!

Answers

The answer would be 16 all you have to do is multiply the length by the width which is 2 and 8.

Round 10.999244792948 to the nearest whole number

Answers

Answer:

11

Step-by-step explanation:

1. Listing Information

The number is 10.999244792948.

Simply put, numbers below 5 are rounded down and numbers that are greater than or equal to five are rounded up.

The tenths place value in 10.999244792948 is 9.

2. Solving the Problem

With the previous information in mind, 9 is greater than 5. Because of this, 10.999244792948 should be rounded to 11.

Seven is part of all of the following sets of numbers except
O irrational numbers
O integers
O rational numbers
natural numbers

Answers

Answer:

Seven isn't part of the set of irrational numbers.

Step-by-step explanation:

Seven and the Set of all Natural Numbers

Start with the smallest set among the choices. The set of all natural numbers, [tex]\mathbb{N}[/tex], starts with [tex]0[/tex] (or [tex]1[/tex], for some people.) A number [tex]n[/tex] is in [tex]\mathbb{N}\!\!\![/tex] (write [tex]n \in \mathbb{N}[/tex]) if and only if [tex](n - 1)[/tex] is in [tex]\mathbb{N}\![/tex]. Conversely, if [tex]n\![/tex] is indeed in [tex]\mathbb{N}\!\!\!\!\![/tex], then [tex](n + 1)[/tex] would also be in [tex]\mathbb{N}\!\!\!\!\!\!\![/tex]. For [tex]7[/tex]:

[tex]1 \in \mathbb{N} \implies 2 \in \mathbb{N}[/tex].

[tex]\vdots[/tex].

[tex]6 \in \mathbb{N} \implies 7 \in \mathbb{N}[/tex].

Therefore, [tex]7[/tex] is indeed in the set of all natural numbers.

Seven and the Set of all Integers

Similarly, a number [tex]n[/tex] is in the set of integers, [tex]\mathbb{Z}[/tex], if and only if either [tex](n - 1)[/tex] or [tex](n + 1)[/tex] is (or both are) in [tex]\mathbb{Z}\!\![/tex].

Conversely, if a number [tex]n[/tex] is in [tex]\mathbb{Z}[/tex], then both [tex](n - 1)[/tex] and [tex](n + 1)[/tex] will be in [tex]\mathbb{Z}\![/tex].

It can be shown in a similar iterative way that [tex]7 \in \mathbb{Z}[/tex].

Alternatively, consider the fact that the set of all natural numbers, [tex]\mathbb{N}[/tex], is a subset of the set of all integers, [tex]\mathbb{Z}[/tex]. Therefore, [tex]7 \in \mathbb{N}[/tex] implies that [tex]7 \in \mathbb{Z}[/tex].

Seven and the Set of all Rational Numbers

A number [tex]m[/tex] is a member of the set of all rational numbers [tex]\mathbb{Q}[/tex] if and only if there exists two integers [tex]p[/tex] and [tex]q[/tex] such that:

[tex]\displaystyle m = \frac{p}{q}[/tex].

[tex]1[/tex] and [tex]7[/tex] are both integers. If [tex]p = 7[/tex] and [tex]q = 1[/tex], then [tex]\displaystyle 7 = \frac{7}{1} = \frac{p}{q}[/tex]. Hence,

Alternatively, note that the set of all integers, [tex]\mathbb{Z}[/tex], is a subset of the set of all rational numbers, [tex]\mathbb{Q}[/tex]. Therefore, the fact that [tex]7 \in \mathbb{Z}[/tex] would imply that [tex]7 \in \mathbb{Q}[/tex].

Seven and the Set of all Irrational Numbers

A number is in the set of all irrational numbers if and only if:

this number is in the set of all real numbers, andthis number is not in the set of all rational numbers. (Hence "irrational.")

Therefore, the fact that [tex]7[/tex] is a rational number implies that it is not an irrational number.

Answer:

irrational numbers

Step-by-step explanation:

Nathan is stocking bathrooms at the hotel where he works. he has 18 rolls of toilet paper and 9 bars of soap. if he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock

Answers

I would say 3 because 18/3 is 6, and 9/3 is 3. So you could put 6 rolls of toilet paper in each bathroom and three bars of soap. I probably just got this wrong but hope I helped out :)

34+987=what please help

Answers

Answer:

1021

Step-by-step explanation:

i added 34 +987 and got 1021

1021 because 34+987= 1021

How do you write.09 in words?

Answers

Answer:

zero point 9

0 and nine tenths

Step-by-step explanation:


The amount of money invested in a retirement fund is an example of which of the following?
a. investment asset
b. liquid asset
c. long term asset
d. use asset

answer: investment asset e2020

Answers

Answer:

A.

Step-by-step explanation:

Retirement funds are not liquid assets. You fund them with investment assets.  However, Roth IRA's and 401 (k) are not assets in the traditional sense. It may be confusing, but the way they grow is by investments. The answer is A.

The amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)

What is an Investment?

An Investment is defined as an asset or object purchased with the intention of generating income or appreciation is referred to as an investment. The term "appreciation" describes a rise in an asset's worth over time. When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.

An investment always entails the expenditure of some capital today—time, effort, money, or an asset in the anticipation of receiving a larger return than what was first invested.

Investment portfolios are not movable property. They are financed by investments. One type of investing asset is the amount of money invested into a retirement fund.

Hence, the amount of money invested in a retirement fund is an example of an investment asset. which is the correct answer would be an option (A)

Learn more about an Investment asset here:

https://brainly.com/question/23611837

#SPJ2

A coin flipped 10 times and the results is recorded. What is the probability of getting exactly 5 tails?

Answers

Answer:

50%

Ste50p-by-step explan%ation:

Simplify: 5m (5m* +5m -4)
A 10m +10m² + m
B 10m + 10m + m
25m + 25m-20m
D 25m + 25m-20m

Answers

C I think because if you multiply 5 to everything you would get c

K(h-j)+10’ if h= 7, j=-8, and k=5

Answers

Answer:

49

Step-by-step explanation:

5(7-8)+10

49

it's equals 49

Solve for x 9x - 1 = -11

Answers

Answer:

x=[tex]-\frac{10}{9}[/tex]

Step-by-step explanation:

We start by moving the constant to the right. In this case -1 (it becomes positive 1).

9x=-11 +1

9x= - 10

divide 9 by both sides.

x=- [tex]\frac{10}{9}[/tex]

If 4 times a number is 156, then 1/3 of the number is

Answers

4 divided by 156 is 39. 39 divided by 1/3 is 13

Answer:

[tex]\huge\boxed{\sf \frac{x}{3} = 12}[/tex]

Step-by-step explanation:

Let the number be x

4x = 156

Dividing both sides by 4

x = 36

Dividing both sides by 3

[tex]\frac{x}{3}= \frac{36}{3}[/tex]

[tex]\frac{x}{3} = 12[/tex]

Evaluate f (x) = 2x – 13 for f (x) = 9, x =

Answers

Answer:

11

Step-by-step explanation:

f(x) = 2x - 13

9 = 2x - 13                   Add 13 to both sides

9 + 13 = 2x                  Add the left

22 = 2x                       Divide by 2

22/2 = x

x = 11

The segment with endpoints (-1,4) & (2,8) has a distance of

Answers

Answer:

5

Step-by-step explanation:

(X1,Y1) = (-1,4)

(X2,Y2) = (2,8)

if x and 3x are linear pair then find the value of x.

Answers

Answer:

x = 45°

Step-by-step explanation:

x + 3x = 180°

--> 4x = 180°

--> x = 180 / 4 = 45°

Step-by-step explanation:

x+3x=180 (sum of linear pair=180)

or, 4x =180

or, x = 180/4

therefore x =45

Which question relates to setting a​ long-term financial​ goal?   
Choose the correct answer below.
A.
When would I like to buy a new​ car?
B.
How much does it cost to buy a movie ticket and snacks at the​ theater?
C.
On which day of the month is my credit card bill sent​ out?
D.
What is the late payment fee on my car​ loan?

Answers

A. When would I like to buy a new car
a when would i like to buy a car

2/5 divided 1/2 as a unit rate

Answers

Answer:

2/5 divided 1/2 as a unit rate .what do you mean

2/5 divided 1/2 is 3/7 as a unit rate

-5/6 + 1/4 = is what???
Please help th points is 100...

Answers

Answer:

-7/12

Step-by-step explanation:

Find common denominators. Note that what you do to the denominator, you do to the numerator.

Set the common denominator to 12:

(-5/6)(2/2) = -10/12

(1/4)(3/3) = 3/12

Combine the terms:

-10/12 + 3/12 = 3/12 - 10/12 = -7/12

-7/12 is your answer.

~

Solve the equation for y

Answers

the answer is C). y= 1/4x + 2

Help please TYSM IF YOU DO!

Answers

Answer:

I think it is mean

Step-by-step explanation:

because mean would be the average of the scores

Answer: The mean

Step-by-step explanation:

The mean will show the average of the teams scores.

Other Questions
Tor FScience and technologyaremutually beneficial. I asked my neighbor to rake the leaves on his lawn because they are blowing into my yard. He responded that it wouldnt be rational for him to do so. Why would this be the case? A therapist may be required to break client confidentiality if the client _____.A) threatens to hurt himselfB) threatens to hurt othersC) is abusing a child or an elder adultD) all of these options SAS-10 Worksheet.1. Create a graph correspond to the map. Which accomplishments are most associated with the Gupta Empire?defeat of the Chinese Empires and the adoption of Zoroastrianismdevelopments in astronomy and of the concept of zeroestablish of peace with China and the spread of Islamadoption of democracy and the creation of the Silk Road why is water considered to be polar molecule Can anybody help with these two problems for me please this for algebra finding slope what claim is the author making about the importance of stage 2 sleep? Please solve! 50 points En la biblioteca(library), los amigos ____.a.estudianc.comenb.bailand.all of the aboveABCD Each day, track and monitor your workout for a minimum of 30 minutes each day (min 2-3 days per week). Various workouts and exercises include:Mile run/bike ridePushups/SitupsBody Squats/lower body exercises (if you have weights, you may use those)Write a summary detailing and explaining what your workout was and how it helped your overall mental and physical health during these troubling times. You may include, calories burned, distance walked or ran. What lifts and other exercises you may have completed that were not listed above. PLZ HELP ASPP WILL MARK UOU AS BRAINLIST What molecule is produced as a byproduct when two or more monosaccharides are combined together? If ABD and CBD are a linear pair, mABD = (3x+31), mCBD = (2x-6), then find mABD. * Referencing Microsoft Word:1. How can you save a document created using Word 2016 in a PDF format? Explain the process step by step.2. Assuming you are on the home tab, explain which tabs and buttons you would need to select to open a new blank document?3. Assuming you are on the home tab, explain which tabs and buttons you would need to select to add the "Quick Print" icon to the Quick Access Toolbar.4. Assuming you are on the home tab, explain which tabs and buttons you would need to select to add a bibliography to the document.5. Assuming you are on the home tab, explain which tabs and buttons you would need to select to put a picture within your document?6. Assuming you are on the home tab, explain which tabs and buttons you would need to select to change the page orientation to Landscape?7. What is the purpose of the "ribbon"?8. The Help button from previous versions of Office has been replaced by what words and what symbol? describe the following conditions: diuresis, glycosuria and polyuria When Emmett began his science experiment, he has 20 millimeters of an unknown solution. During the experiment, the change in the volume of the solution was -9 milliliters. What was his final volume of the solution. To solve the problem, dakota added 20+( -9 ) and came up with an answer of -11 milliliters. Is Dakota correct? Why or why not ? A : yes, dakota is correctB: No. The answer should have been 11 milliliters, not -11 milliliters, because the volume should not be negative C: No. Dakota should have subtracted 20 - (-9) because the volume decreased The assets and liabilities of Amos Moving Services at March 31, 2011, the end of the current year, and its revenue and expenses for the year are listed below. The capital of the owner was $180,000 at April 1, 2010, the beginning of the current year. Mr. Amos invested an additional $25,000 in the business during the year. Accounts Payable $1,200 Miscellaneous Expense $230 Accounts Receivable $10,340 Office Expense $1,240 Cash $32,320 Supplies $1,670 Fees Earned $84,350 Wages Expense $23,550 Land $47,000 Amos, Drawing $16,570 Building $155,960Prepare an income statement for the current year ended May 31, 2011.Fees Earned credit 84350Expenses: ? ? ?Total Expenses ?net income or net loss ?? Incomplete manufacturing costs, expenses, and selling data for two different cases are as follows.Incomplete manufacturing costs, expenses, and sellIncomplete manufacturing costs, expenses, and sell Collapse question part(a) Indicate the missing amount for each letter.Case 1 2Direct materials used $9,600 $Direct labor 5,000 8,000 Manufacturing overhead 8,000 4,000 Total manufacturing costs 16,000 Beginning work in process 1,000 inventoryEnding work in process inventory 3,000 Sales revenue 24,500 Sales discounts 2,500 1,400 Cost of goods manufactured 17,000 22,000 Beginning finished goods inventory 3,300 Goods available for sale 20,000 Cost of goods sold Ending finished goods inventory 3,400 2,500 Gross profit 7,000 Operating expenses 2,500 Net income 5,000b) Prepare a condensed cost of goods manaufactures schdule ffor Case1c1) Prepare an Income statement for Case 1c2) Prepare the current assets section of the balance sheet for Case1. Assume that in Case 1 the other items in the current assets section are as follows: Cash $4,000, Receivables (net) $15,000, Raw Materials $600 and Prepaid Expenses $400. A car dealership sold 36 cars in April. The dealership wants to increase the number of cars sold by 40% in May. How many cars will the dealership need to sell to reach their goal?