The total surface area of a cylinder with height 5 in. is given by the function g(x) = 2πx2 + 10πx, where x is the radius, and the function f(x) = 10πx gives the surface area of the side of the cylinder. Which combined function gives the total surface area of the two bases of the cylinder? A. f + g B. f – g C. g – f D. f · g

Answers

Answer 1

Answer:

C. g - f

Step-by-step explanation:

Total surface area of a cylinder with height 5 is:

A = 2πrh + 2πr² = 10πr + 2πr²

If we substitute r with x, we get:

g(x) - full surface areaf(x) - surface area

Total surface area of two bases:

g - f = 2πx² + 10πx - 10πx = 2πx²

Correct choice is C


Related Questions

yes or no? help me out thank you so much whoever does:))

Answers

yes. i’m not for sure.

Answer:

Yes

Step-by-step explanation:

The bottom left corner is a right angle

0.45 divided 36
how would I divide this?

Answers

Answer:

16.2 is your answer..

Step-by-step explanation:

36/0.45

=36*45/100

=1620/100

=162/10

=16.2

Hope it will helps you to understand

Use Photo Math it should help you step-by-step it no video or anything all you have to do is take a picture and it show you how it got it-

Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?

Answers

Answer:

60%

Step-by-step explanation:

Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.

They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:

6/10 = 0.60, or 60%

Tina has a 60% chance of drawing a nickel from her pocket.

~

the graph below is the solution for which set of inequalities

Answers

you didn’t attach a picture of the graph

F(x)=-x^2+8x-2 what is the range of the function?

Answers

Answer:

Range:   ( − ∞ , 14 ]

Step-by-step explanation:

PLEASE HELP

4. Is this a right triangle? Side lengths of 4 in., 6 in., and 9 inches.
O Yes
Ο Νο

Answers

Answer:

yes

Step-by-step explanation:

:)

Answer:

  no

Step-by-step explanation:

The sides of the given lengths will form a right triangle if they satisfy the Pythagorean theorem.

  c² = a² + b²

  9² = 4² +6²

  81 = 16 +36 . . . . . not true

These side lengths do not form a right triangle. (They form an obtuse triangle.)

What is the volume of the prism, in cubic centimeters?
please help me

Answers

Answer:

4cm ×cmohx9ufochohcohcohc

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis

Answers

The question is incomplete. The complete question is :

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:

(Choice A) A 6x+3y6x+3y6, x, plus, 3, y

(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis

(Choice C) C 3xy3xy

Solution :

The equation is given as follows :

3x + 3(x+y)

We can simplify the equation in order to determine the equivalent expression.

Now applying the distributive property,

[tex]$3x+(3)(x)+(y)(3)$[/tex]

[tex]$=3x+3x+3y$[/tex]

When we add the like terms we get :

3x+3x+3y = 6x + 3y

When we factor out the term 3, we get :

3x + 3x + 3y = 3(x + x + y)

So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is :

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:

(Choice A) A 6x+3y6x+3y6, x, plus, 3, y

(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis

(Choice C) C 3xy3xy

Solution :

The equation is given as follows :

3x + 3(x+y)

We can simplify the equation in order to determine the equivalent expression.

Now applying the distributive property,

When we add the like terms we get :

3x+3x+3y = 6x + 3y

When we factor out the term 3, we get :

3x + 3x + 3y = 3(x + x + y)

So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).

What is the slope of the line that passes through the points (5, 6) and (5,9)

Answers

Answer:

undefined or no solution

Step-by-step explanation:

it repeats the same x-value

Answer:3

Step-by-step explanation:

9-6

over

6-5

=3/1

simplify

m=3

A video game that normally sells for $80 is on sale for $68. What is the percent of discount for the sale price?
A) 18%
B) 17%
C) 15%
D)12%

Answers

Answer:

C

Step-by-step explanation:

68 - 80 / 80

= - 12 / 80

= - 3 / 20

= - 15%

help i mark brain thing

Answers

Answer:

It is D

Step-by-step explanation:

Within each coordinate it represents (x,y)

The x moves along the horizontal line and the Y moves along the vertical line.

For example: For (-5,5) move to the left 5 times, then move up 5 times.

A negative X goes to the left and a negative Y goes down.

A positive X moves to the right and a positive Y moves up.

What is the answer for, A metal bar 8.15 ounces 93% of the bar is sliver. How many ounces of silver are in the bar? ( round to the nearest thousandth)?

Answers

Answer:

7.580 ounces

Step-by-step explanation:

The question is asking how many ounces of silver are in the bar. We know that 93% of the bar is silver. The bar is 8.15 ounces. This means we need to find 93% of 8.15. Let's set up an equation.

93% of 8.15

93/100 • 8.15

0.93 • 8.15

= 7.5795

Round to the nearest thousandth.

7.580 ounces

Hope this helps!

1 pts The function f(x) = 12,900(0.40)x models the population of ants in a house x days after their discovery. Which statement describes the population of ants?

Answers

Answer:

f(x) = 500 • 1.1x

Step-by-step explanation:

To solve the question, we need to understand that:

- The population of ants is going to increase with time as they mate and have a population positive growth rate.

- The initial number of ants is 500.

- The rate at which it increases will be multiplied with x months

We will work our way out by removing the wrong answers first

Since,

The population cannot be decreased so we can neglect the last two options involving 0.9 as it will result in a decrease in the population.

Now we are left with two options:

a)  f(x) = 500 • 1.1x

b) f(x) = 1.1 • 500x

Since in the option (b) , 500 is multiplied with x , it is not possible as 500 is a constant initial amount and not a factor of growth of population. The growth factor is supposed to be multiple of x months.

So, the correct answer is f(x) = 500 • 1.1x

Find the distance between the points (-2,-10) and (-9,-5) on a coordinate plane.

Answers

-5/7
Just use the formula

If the width of a pool is 60 feet and the perimeter is 200 feet, how long is the pool?
A. 140 feet
B. 120 feet
C. 40 feet
D. 50 feet

Answers

Answer:

140

Step-by-step explanation:

200-60 = 140

Answer:

c

Step-by-step explanation:

Substitute the values in the problem to get, (200) = 2(60) + 2W. Solve for W to get 200 = 120 + 2W. Subtract 120 on both sides to get 80 = 2W. Divide by 2 on both sides to get 40 = W or a width of 40 feet.

hope that helped you.

The ratio of the number of games won to the number of games lost (no ties) by the Middle School Middies is
11/4. To the nearest whole percent, what percent of its games did the team lose?

Answers

Answer:

27%

Step-by-step explanation:

The ratio means that for every 11 games won, 4 are lost, so the team has won 11x games, lost 4x games, and played 15x games for some positive integer x. The percentage of games lost is

4x / 15x * 100 = 4/15 * 100 = 26.6666 = 27%

A percentage is a way to describe a part of a whole. To the nearest whole percentage, the percentage of games lost by the team is 27%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the ratio of the number of games won to the number of games lost is 11/4, therefore, the total number of games played by the team is 15(11+4).

Now, the percentage of games lost by the team is,

4/15 × 100% = 26.6667% ≈27%

Hence, To the nearest whole percentage, the percentage of games lost by the team is 27%.

Learn more about Percentages:

https://brainly.com/question/6972121

#SPJ2

A student is evaluating the expression below for n=3.7.12.8+6(n-0.5) in what order should the student do the steps?

Answers

Answer:

32

Step-by-step explanation:

The given expression is :

12.8+6(n-0.5)

We need to evaluate the expression for n = 3.7

Put n = 3.7 in the above expression.

12.8+6(3.7-0.5)

= 12.8+6(3.2)

= 12.8 + 19.2

= 32

So, the value of the given expression is equal to 32.

Please help and dont just do a random answer for points

Answers

Answer:

125

Step-by-step explanation:

5*5*5 = 15*5 = 125

Answer:

125

Step-by-step explanation:

Times 5 three times by itself

The solution shown for the equation is
incorrect. What is the correct solution? What is the error?
-3(6-r) = 9
- 18 - 3r = 9
- 3r = 27
9
The solution is
(Type the value of r.)



Pleaseeee help ASAP
Will mark brainliest

Answers

Answer:

-3(6-r) = 9

- 18 - 3r = 9   incorrect: should be -18 +3r = 9

- 3r = 27       incorrect: should be 3r = 27

9                   actually correct: r = 9

Create 2 equivalent expressions

4(2x1.5x)+10​

Answers

ANS: 2 (12e^2inx^3prs^3 o + 10

Step-by-step explanation:

A phone company offers a mobile phone plan for a monthly fee of $19.95 plus $0.05 for each minute used during the month. Which equation below BEST represents the cost, y, for one month when x minutes are used?

Answers

Answer:

y = 19.95 + .05x  or  y = .05x + 19.95

Step-by-step explanation:

HELP!!!PLS!!!NOW!!!FAST!!!ASAP!!!

Answers

Answer:

lol what

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

Gina is building a rectangular prism out of sugar cubes for her art class project. She started by drawing a diagram of the rectangular prism that is 4 cubes high, 4 cubes long and 2 cubes wide. How many cubes does she use to make the prism?

Answers

The rectangular prism is made up of the dimensions

Lenght = 4 cubes

Width = 2 cubes

Height = 4 cubes

The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:

[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]

Therefore, She need 32 cubes to make the prism.

Please help solve correctly. NO links or files. Correct answers only if not report. I will even give an additional 10 if correct.

Answers

Answer: 228 cm

hope this helped :)

what is the least common denominator 2 and 7?

Answers

Answer:

14

Step-by-step explanation:

14 7x2=14 please give Brain

pls help me I have no idea what I'm doing​

Answers

Answer:

3.2mm ^3

Step-by-step explanation:

First find the scale factor to get the height of the smaller figure

SF= 1/5 or 0.2

Then use the Volume equation for triangular pyramid 1/3*(base area)*(height)

Your equation should look like this:

1/3 (4)(2.4)

9.6/3

Volume= 3.2 mm ^3

find the product

(n+8)(m-2)

Answers

Answer:

nm - 2n + 8m - 16

Step-by-step explanation:

(n + 8) (m - 2)

nm - 2n + 8m - 16

Use foil method

Answer: nm - 2n + 8m - 16

Which function equation is represented by the graph

Answers

Answer:

you need to put a picture

Step-by-step explanation:

:)

in 37.2 the ones place and the tenths place is separ
ated by a what?​

Answers

Answer:

Decimal

Step-by-step explanation:

The 37 and the 2 is separated by that little dot called a decimal.

Answer:

37+2/10

Step-by-step explanation:

The price of a microwave is $85. The sale tax is 7%. What is the total cost of the microwave?

Answers

Answer:

the answer will be 30...................

Answer:

$90.95

Hope this helps you! Also, here is a story to go along with my answer!

Once Upon A time there was a noble Knight, he wasn’t like any other Knight, he had powers, something much more than a sword and shield. He was part of a fairytail, which in this world is a association of wizards, or people who can use magic. As the noble night was walking around town, he noticed a figure far in the distance, of course he was a young, curious knight, so he decided to go explore the figure in the distance. As he walked upon the figure that wasn’t so far anymore he relized somethin, something so astonishing that he thought would never Be real, a castle full of treasures full of coins and gems. As he walked in to the castle, he wasnt aware f what would happen if he where to take the treasure, he made the best choice, not to satisfy his greed, and left the castle as it was when he found it before, promising himself not to tell anyone about what he witnessed that day.

Yours Truly, TheAnimeCatUwU

Other Questions
For which of the following sample sizes is the sample median most likely to be above $250,000?A. n = 10B. n = 50C n = 100D. n = 1000E Impossible to determine without more information Several teenagers went camping one clear night in the middle of the summer is this a sentence or fragment Based on the section "Violence in Alabama," which answer choice BEST explains why CORE had a difficult time finding bus drivers after the first Freedom Ride bus stopped in Alabama? A The drivers did not think it was right to drive buses that carried black riders. B The drivers were not used to driving buses to a lot of different cities. C The drivers were afraid to drive buses that carried both black and white riders. D The drivers refused to drive the buses as an act of protest of segregation. Find the perimeter of the figure. Round your answer to the nearest hundredth. in. 4. PART B: Which detail from the text best supports the answer toPart A?O A That word 'guys' might earn smiles and nods ofunderstanding in that world, but it brought the ultimateinsult in my neighborhood." ( Paragraph 5)OB "With one boy in particular, my mother had to sit me downand explain: 'Son, perhaps there's another reason why hisparents keep making excuses for why we can't get together."(Paragraph 18)O c "Painful as some of these experiences were, I was grateful tohave them in middle school and high school, so that when thetime came to head for college, I already had some fluencynavigating between different cultures" ( Paragkaph 12)OD "I watched as too many others from my hometown and otherpredominantly black cities struggled in a university settingwhere suddenly they really were a minority." (Paragraph 20 HELP PLS HELP Why is this excerpt an example of situational irony?Portia died from her wounds the same night she cutherself to prove her strength to her husband.Brutus does not believe that Portia is dead.Even though Brutus lied to protect her, he could notsave her life.Octavius and Mark Antony killed Portia. Naomi's bill for breakfast at a restaurant was $82.She left a15% tip.What was the amount of the tip? Which of the following best characterizes the Age of Oil in Texas? A .The rapid growth of petroleum exploration and speculation began in Texas. B .The migration from urban to rural was a result of the industry. C .The population of Texas decreased since there were few jobs. D .Agrarian society grew rapidly and contributed to the economy. How were the actions taken by Presidents Gerald R. Ford and Jimmy Carter to address the countries' economic turndown similar? How is it different? Graph the line with slope - 2 passing through the point (1, -5). A factory store has two types of machines.The factory has 6 cutting machines and 4 stamping machines.Each cutting machine cuts 105 parts every 3 minutes.Each stamping machine stamps 24 parts every 20 seconds.One of the cutting machine is shut down for repairs How many parts can the remaining machines cut in 412 hours?788 parts2,363 parts28,350 parts47,250 parts PLS HELP!! WILL GIVE BRAINLIEST IF IT IS CORRECT !!!!Terrace farming helped early South American farmers with which challenge?A. Finding the right crops to plantB. Planting crops on steep mountainsidesC. Hunting mammoths and ground slothsD. Getting water from rivers to farms What is the energy of an electron in a Li+ ion when an electron moves from n = 2 to n =3? 63/4 divided by 41/2 Pheobe had 6 keys. She paid with a $10.00 bill and received $3.28 change. How much did it cost to have EACH key made Why is inflation considered an economic problem? please refrain from irrelevant answers. Malia owns 1 out of 3 gas stations in Jasper. In Webster, Abby owns 6/25 of the gas stations. Who owns a greater fraction of gas stations in her area?Malia or Abby? solve: 4(n-7) -2 (n+3)-15n The measure of ZPQS is 180. The measure of ZRQS is 30.R30PSWhat is the measure of ZPQR?A. 60B. 120C, 150D. 210 Three Methods for Choosing JudgesAt the federal level, judges are nominated by the President and then those nominees have to be approved by the Senate. The U.S. Constitution does not specify how states can choose their judges so different states use different methods. The three most common methods used by states are listed below:Method 1: Direct elections - Candidates raise money and campaign to be a judge. The voters then elect one of the candidates.Method 2: Appointment - In this method, state judges are appointed by the Governor. There is often no legislative approval required. A couple of states have the state legislature appoint judges, but usually it is the Governor.Method 3: The Missouri Plan - This is a compromise between methods 1 and 2. In the Missouri Plan, the governor appoints judges, but the governor must make each appointment from a list of three candidates recommended by a judicial nominating commission. The commission is made up of a sitting judge, several legal experts, and some private citizens. Each judge named by the governor serves until the next election. The judge's name then appears on the ballot without opposition. The voters decide, in a yes-no vote, whether or not that judge should be kept in office. Should the voters reject a sitting judge, the process begins again.Read the information above about the three methods most commonly used to select judges at the state level. Pick the method that you believe is the best. Write a paragraph persuading your fellow Ohioans that Ohio should start using this method. If you agree with how Ohio already chooses its judges, then persuade a different state to use our current method. Your essay needs to provide three (3) arguments supporting your method of choice, and you need to back these arguments up with supporting details. For example, you could use constitutional principles to back up your arguments.plz help