Imagine a spherical cell with a radius of 10 pm. What is the cells surface area in pm2? Its volume, in pm3? What is the ratio of surface area to volume for this cell? Now do the same calculations for a second cell, this one with a radius of 20 pm. Compare the surface-to-volume ratios of the two cells. How is this comparison significant to the functioning of cells? (Note. For a sphere of radius r, surface area = 4rcr2 and volume = rrr3. Remember that the value of it is 3.14.)

Answers

Answer 1

Answer:

comparing the two cells, we can see that the surface area to volume ratio gets smaller as the cell gets bigger, making it harder for optimum amount of material that is needed to sustain the cell to cross the cell membrane. If a cell should grow beyond a certain limit, enough material will not be able to cross the membrane to nourish the cellular volume.

Step-by-step explanation:

For the cell with radius r = 10 pm

The surface area is from the area of a sphere

Area A = [tex]4\pi r^{2}[/tex]

A= 4 x 3.14 x [tex]10^{2}[/tex] = 1256 pm^2

volume is calculated from the volume of a sphere

Volume V = [tex]\frac{4}{3}\pi r^3[/tex]

V = [tex]\frac{4}{3}[/tex] x 3.14 x [tex]10^{3}[/tex] = 4186.67 pm^3

Ratio of surface area to volume = 1256/4186.67 = 0.29

For the second cell with radius r = 20 pm

The surface area of the cell is

A =  [tex]4\pi r^{2}[/tex] = 4 x 3.14 x [tex]20^2[/tex] = 5024 pm^2

Volume =  [tex]\frac{4}{3}\pi r^3[/tex] =  [tex]\frac{4}{3}[/tex] x 3.14 x [tex]20^{3}[/tex] = 33493.3 pm^3

Ratio of surface area to volume = 5024/33493.3 = 0.15

comparing the two cells, we can see that the surface area to volume ratio gets smaller as the cell gets bigger, making it harder for optimum amount of material that is needed to sustain the cell to cross the cell membrane. If a cell should grow beyond a certain limit, enough material will not be able to cross the membrane to nourish the cellular volume.


Related Questions

Can you simplify this algebraic expression? Type your answer below!
(2x-4) - (6x +6)

Answers

Answer:

-4x -10

Step-by-step explanation:

remove paranthese: 2x−4−6x−6

collect like terms: (2x−6x)+(−4−6)

−4x−10

The simplified Algebraic Expression of (2x-4) - (6x +6) is -4x - 10.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

(2x-4) - (6x +6)

Now, solving the above expression

= (2x-4) - (6x +6)

= 2x - 4 - 6x - 6

Combining the like terms

= (2x- 6x) + (-4-6)

= -4x - 10

Hence, the simplified expression is -4x-10.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ3

How are natural and whole numbers different ?

Answers

Answer:

Whole numbers include 0 while natural numbers do not.

Step-by-step explanation:

Natural numbers are 1, 2, 3, 4, etc.

Whole numbers are 0, 1, 2, 3, 4, etc.

You randomly draw twice from this deck of
cards
HCF F||0||D
What is the probability of drawing a D, then
drawing an F, without replacing the first
card?

Answers

answer=my buttttttttttttttttttttttttttttttttttttttttttttttttt

Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.

Answers

Answer:

-the set of people with Social Security cards and the set of Social Security numbers

Explanation:

There's literally no relation between the height of a tree and the number of trees in a forest that can be clearly seen. Same goes to models and people in a certain town. Birthdays and Students in Class definitely have no correlation as isolated pieces of information. The number of people with social security numbers and the amount of numbers in a SS Card, though, have a direct relation, since the number has to be large so the amount of people that need such a number can have unique numeric representations of their Social Security.

greatest 2 factors of 90

Answers

Answer:

45 & 30

Explanation:

30 x 3 = 90.

45 x 2 = 90.

So the two of these are the answers. Hope it helps!

Answer:

45 and 30

Step-by-step explanation:

what is the answer to -5( 8g + -4 )​

Answers

Answer:

-40g+20

Step-by-step explanation:

-5(8g-4)

-40g+20

!SUBSTITUTION METHOD!

6y - 5z = -8
3z = -6
4x - 3y - 2z= 21​

Answers

Answer:

x = 2 y = - 3z = - 2

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

First solve for z in Equation 2

That's

3z = - 6

Divide both sides by 3

z = - 2

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

y = - 3

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

x = 2

So the solutions are

x = 2 y = - 3z = - 2

Hope this helps you

So uh max points is 100 well whats 2-1 equal im really confused

Answers

Answer:I'm confused to

Step-by-step explanation:

Answer:

Can you explain more 2-1 as in a ratio

Step-by-step explanation:

Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)​

Answers

Answer:

[tex]=\left(-5,\:-\frac{5}{2}\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)[/tex]

How do I solve this problem

Answers

Answer:

2.9309

Step-by-step explanation:

2.9309 is the answer

3
Liz makes footprints in the snow with her boots that are
foot long. Liz's feet are only
2
3
foot long.
What expression can be used to find out how much longer Liz's boot prints are than her feet?​

Answers

Answer:

See Explanation

Step-by-step explanation:

The question has missing details; However, the following explanation will guide.

Represent the boots print with y and the Liz's feet with x

To calculate how much the boot is longer than her feet, we simply get the difference between the length of the boot's print and her feet;

i.e.

[tex]Difference = y - x[/tex]

Note that her boot print (y) will always be greater than her feet (x)

Take for instance;

[tex]y = 3\ ft[/tex]

[tex]x = 2\ ft[/tex]

The difference will be

[tex]Difference = 3ft - 2ft[/tex]

[tex]Difference = 1ft[/tex]

Keena's shirt is $13. She gets a 20% off. What is the price?

Answers

Answer:

$10.40

Step-by-step explanation:

Just like any other percent problem, subtract 20%.

$13 - 30% = $10.40

Your answer is $10.40. Hope this helps!

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i. What is the student's mistake? Select the two correct answers. A. They multiplied the second number by the real part of the first number. B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts. D. The student has added the real parts and multiplied the imaginary parts. E. The student has multiplied the second number by the imaginary part of the first number.

Answers

Answer:

B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts.

Step-by-step explanation:

Before we figure out the student mistake, let us find the product of the complex numbers ourselves first.

(4+5i) (3-2i)

open the parenthesis

= 4(3)-4(2i)+3(5i)+5i(-2i)

= 12-8i+15i-10i²

Note that in complex number, i² = -1, hence the expression will become;

= 12-8i+15i-10(-1)

= 12-8i+15i+10

collect like terms by separating the real from imaginary part

= 12+10-8i+15i

= 22+7i

From the students answer i.e 12-10i, it can be concluded that;

In the multiplication of the imaginary parts, the student forgot to square the i and the student has only multiplied the real parts and the imaginary parts 4 and 3 to get 12

The scatter plot shows association between the age of a motorcycle and the sale price of the motorcycle because as the age of a motorcycle increases, the sale price of the motorcycle

Answers

Answer:

C

Step-by-step explanation:

The answer is C

Linear equation

4X-12+3x+9

Answers

Steps to solve:

4x - 12 + 3x + 9

~Combine like terms

(4x + 3x) + (-12 + 9)

~Simplify

7x - 3

Best of Luck!

Answer:

X = 3/7

Step-by-step explanation:

4X - 12 + 3X + 9 = 0 (separate them)

4X + 3X = 12 - 9 (add)

7X = 3 (divide 7 on both sides)

X = 3/7

Four water tanks can hold a total of 432.4 gallons of water. On average, how much water can one tank hold? How much water is in a tank that is half-full? One tank can hold an average of gallons of water. A half-full tank will hold gallons of water.

Answers

Answer:

one tank can hold 108.1 gallons. half full is 54.05

Step-by-step explanation:

Answer:

54.05 gallons

Step-by-step explanation:

432.4÷4= 108.1108.1÷2= 54.05

A hot air balloon ascended to a height of 25 meters 2 minutes after launch. After some time, the balloon's altitude began to change by -2⅕ meters every minute for 7 minutes. To avoid a tree, the balloon flew up by 8½ meters. What is the new altitude of the balloon? expression for problem?

Answers

Answer:

18.1 m

Step-by-step explanation:

For this problem, we will simply use the initial height of 0 meters, the height of 25 meters after 2 minutes, the decline of 2.2 meters every minute for 7 minutes, and a final increase of 8.5 meters to find the final altitude of the ballon.

0m + 25m - 2.2m(7) + 8.5m = ?

25m - 15.4m + 8.5m = ?

9.6m + 8.5m = ?

18.1m = ?

Hence, the final altitude of the ballon is 18.1m.

Cheers.

Please help marking as brainliest ndbi brought 16 packages of blueberries for 48. how many packages can jacob buy if he has $12.

Answers

Answer:

4 packages

Step-by-step explanation:

ndbi bought 16 packages of blueberries for $48, which means he bought 1 package for $3 because 48 / 16 = 3.

jacob has $12, so he can buy 4 packages of blueberries because 12 / 3 = 4.

PLEASE HELP ME I REALLY NEES HELP


Changes of State

Gas

B

Temperature

Solid

Liquid

A

Thermal Energy

4. Suppose the material is being heated.

a. What change of state is represented by line segment A?

b. What is happening to the average kinetic energy of the particles during the

change of state represented by line segment B? Explain.

c. What physical property does the temperature at point B represent? If the

liquid is kept at this temperature what state of matter will be observed?

Explain your answer.

Answers

Answer:

Please find the answer in the explanation

Step-by-step explanation:

Suppose the material is being heated.

a. What change of state is represented by line segment A?

The solid changes to liquid state. The change of state is Melting.

b. What is happening to the average kinetic energy of the particles during the change of state represented by line segment B? The average kinetic energy of the particle increases as the heat is applied but remains constant during the change of state.

c. What physical property does the temperature at point B represent?

Vapourisation.

If the liquid is kept at this temperature what state of matter will be observed?

If the temperature persists, the state of matter that will be observed will be gas. Because the liquid must have turned out to vapour.

5 numbers that create the mean of 9​

Answers

Answer:

9,9,9,9,9

Step-by-step explanation:

Let the five unknown numbers be x

= [tex]\frac{x+x+x+x+x}{5} = 9[/tex]

Simplify

[tex]\frac{5x}{5} = \frac{9}{1}[/tex]

Cross-cancel common factor ; 5

[tex]5x\div 5 = x\\\\x = \frac{9}{1} \\\\x = 9[/tex]

What is the mean of 6,3,2,1,9,9

Answers

5 you add them all up and then divide by how many number you added


(6+3+2+1+9+9) and then divide by 6

Answer:

[tex]\boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]

Step-by-step explanation:

Given data : 6 , 3 , 2 , 1 , 9 , 9

Σfx = 6 + 3 + 2 + 1 + 9 + 9 = 30

N ( total number of observation ) = 6

Finding the mean

[tex] \boxed{ \sf{mean = \frac{Σfx}{N} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = \frac{30}{6} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = 5}}[/tex]

Hope I helped!

Best regards! :D

A single-payment loan of $5,955. Interest rate of 8.75 percent. Days of ordinary
interest: 42. Round to the nearest hundredth. What is the interest owed? What is the maturity value?

Answers

Answer:

interest owned = PTR/100

                          = 5955*(42/365)*8.75/100 =59.96

maturity value = 5955+59.96=6054.96

Step-by-step explanation:

I will give brainliest Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 7,550 pounds of fish?

Answers

(7,550 - 5,000) / 850 = 3 standard deviations.

The percentage could vary depending on the bell curve diagram your professor uses. I was taught that anything more than 3 standard deviations is 0.15%. So, only about 0.15% of blue whales eat more than 7,550lbs of fish.

Answer:

the answer is 0.15 percent, give the person above me brainlyest for helping!

Step-by-step explanation:

Determine whether the study is an observational study of an experiment. Explain.
In a survey of 1117 adults in a country, 54% said the country's leader should release all medical information that might affect their ability to serve The study is_____because it____a treatment to the adults.

Answers

Answer: Observational ; does not

Step-by-step explanation: The main distinguishing factor between an experimental study and an observational study lies in the administration of treatment to the participant of the study. In experimental study, some or all the participant in the study are subjected or exposed to a certain treatment and their response to such treatment. ON THE OTHER HAND, Observational study is usually employed when there is a need to gather information on a particular subject matter without directly influencing the participants. In the scenario above, participants were not given any TREATMENT as they were only required to gather information and not to measure the effect of a treatment.

Help i dont understand Pls help :(

Answers

Answer:

x = 1?

Step-by-step explanation:

I think functions are basically just variables but extra so they both act the same. I'm not 100% sure but I Think

if f(x) = -5x + 1 when f(x) = 6,

replace f(x) with 6 so,

6 = 5x + 1

1 - 6 = 5x + 1 - 1

(subtract one on both sides to isolate the variable)

5 = 5x

5/5 = 5x/5

(to Actually isolate the variable lol

1 = x or x = 1

I believe is the answer? please comment if I'm wrong

*I WAS TOLD MY THOUGHT PROCESS IS WRONG ANYONE WHO SEES THIS PLEASE DISREGARD

What are the next two terms in this sentence? 5, 10, 20, 40

Answers

Answer:

80, 160

Step-by-step explanation:

It's just multiplying the last term by 2.

Answer:

80 and 160

Step-by-step explanation:

5 × 2 = 10

10 × 2 = 20

20 × 2 = 40

40 × 2 = 80

80 × 2 = 160

Hope it helps!

Which equation describes this line?
(1, 13)
(-2, 4)

Answers

Answer:

y =3x+10

Step-by-step explanation:

[tex]\mathrm{Line\:passing\:through\:}\left(1,\:13\right)\mathrm{,\:}\left(-2,\:4\right)\\\\(1,13)=(x_1,y_1)\\(-2,4) = (x_2,y_2)\\\\\frac{y-13}{x -1} = \frac{4-13}{-2-1}\\ \\\frac{y-13}{x-1} = \frac{-9}{-3}\\\\ -3(y-13)=-9(x-1)\\\\-3y +39 =-9x +9\\\\-3y =-9x+9-39\\\\-3y =-9x -30\\\\\frac{-3y}{-3} = \frac{-9x}{-3} - \frac{30}{-3} \\\\y = 3x+10[/tex]

Answer:

 y - 4 = 3 ( x + 2 )

Step-by-step explanation:

so ,

( 1 , 13 )   and    ( - 2 , 4 )

x1   y1                 x2   y2

formulae of slope m is y2-y1

                                     over

                                     x2-x1

4-13

  /

-2-1

-9/-3

therefore m=3

now to get the equation of line is

y-y1=m(x-x1)

y - 13 = 3 ( x -  1 )

y - 13 = 3 x - 3

y = 3 x - 3 + 13

y = 3 x + 10

y - 4 = 3 x + 6

y - 4 = 3 ( x + 2

How many solutions does the system have?

2x+3y=6
-3x+5y=-15

Answers

Answer:

one solution

Step-by-step explanation:

2x+3y=6      multiply this equation  with 3

-3x+5y=-15    multiply this equation  with 2

so

6x+9y=18

-6x+10y=-15

----------------------

add these equation

so 6x-6x+9y+10y=18-15

     19y=3

y=3/19

so 2x+3*3/19=6      multiply this equation  with 19

2x*19+9=6*19

38x+9=114

-9          -9

38x=105

x=105/38

   

here is the question the whole question is in the image​

Answers

Answer:

The change for the input would be 1, and the change for the output would be 0.35. The rate of change should be 0.35 also.

Step-by-step explanation:

Graph f(x) = 2x2 + 12x + 12

Answers

The answer is 6 my guy

Answer:

Step-by-step explanation:

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