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

The measure of ZPQS is 180°. The measure of ZRQS is 30°.
R
30°
P
S
What is the measure of ZPQR?
A. 60°
B. 120°
C, 150°
D. 210°

Answers

the measure of ZPQR is C. 150°

A part is being machined. The starting thickness
of the part is 6.18 inches. Three cuts are
taken. Each cut is three-tenths of an inch.how many were removed ?

Answers

im mot sure of the answer

A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 40 % and the third contains 70 % . They want to use all three solutions to obtain a mixture of 56 liters containing 50 % acid, using 2 times as much of the 70 % solution as the 40 % solution. How many liters of each solution should be used?

Answers

Answer:

The volume of the first acid solution (containing 20% acid) in the mixture is 14 liters

The volume of the second acid solution (containing 40% acid) in the mixture is 14 liters

The volume of the third acid solution (containing 70% acid) in the mixture is 28 liters

Step-by-step explanation:

The percentage of acid in the first acid solution = 20%

The percentage of acid in the second acid solution = 40%

The percentage of acid in the third acid solution = 70%

The volume they want to use the three solutions to obtain a mixture of = 56 liters

The concentration of the mixture they want to obtain = 50%

The amount of the 70% solution to be used = 2 × The volume of the 40% solution to be included

Let 'x', 'y', and 'z', represent the volumes of the first second and third acid solutions in the mixture

Therefore, from the question parameters, we get;

x + y + z = 56...(1)

z = 2·y...(2)

0.2·x + 0.4·y + 0.7·z = 0.5 × 56...(3)

Multiplying equation (3) by 10 and then subtracting equation (1) multiplied by 2 from the result gives;

10 × (0.2·x + 0.4·y + 0.7·z = 0.5 × 56) = 2·x + 4·y + 7·z = 5 × 56 = 280

2·x - 2·x + 4·y - 2·y + 7·z - 2·y = 280 - 2 × 56 = 168

2·y + 5·z = 168

From equation (2) and (4), we get;

2·y + 5·z = 2·y + 5×(2·y) = 168

12·y = 168

y = 168/12 = 14

The volume of the second acid solution in the mixture, y = 14 liters

From equation (2), we have;

z = 2·y

∴ z = 2 × 14 = 28

The volume of the third acid solution in the mixture, z = 28 liters

From equation (1), we get;

x + y + z = 56

x = 56 - (y + z)

∴ x = 56 - (14 + 28) = 14

The volume of the first acid solution in the mixture, x = 14 liters.

The roots of the equation x² + 2x + 4 = 0 are
A) rational and equal
B) rational and unequal
C) imaginary and unequal
D) real, rational, and unequal

Answers

Answer:

Option C

Step-by-step explanation:

Given :-

A equation x² + 2x + 4 = 0 .

And we need to find out the nature of the roots . The nature of the roots is determined by the Discriminant of the equation , and the Discriminant of a quadratic equation is ,

[tex]:\implies[/tex] Discriminant = - 4ac

[tex]:\implies[/tex] Discriminant = 2² - 4(1)(4)

[tex]:\implies[/tex] Discriminant = 4 -16

[tex]:\implies[/tex] Discriminant = (-12)

Now here the value of D is less than 0 .So the roots will be imaginary .

Hence the roots are imaginary and unequal.

The circumference of a circle is 7π m. What is the area, in square meters? Express your answer in terms of \piπ.​

Answers

Answer:

A ≈ 3.9

Step-by-step explanation:

How to solve

Using the formulas

A=πr2

C=2πr

Solving for A

A=C2

4π=72

4·π ≈ 3.8993

Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9

Please answer this for 15 points!!! Stuck on this forever

The model shows a rectangular prism made up of cubes with an edge length of 1/2meter.

Part A

Kate finds the volume of the prism by counting the unit cubes. She counts the number of cubes in the bottom layer. She says since there are 3 layers, there are 144 unit cubes, and the volume of the prism is 144 cubic meters. Is Kate correct?

Fill in the blanks to explain your answer.

The bottom layer has _______ unit cubes. The prism is made up of a total of _______unit cubes. The volume of a single unit cube is________cubic meter, so the volume of the prism is_______cubic meters. Kate________correct.

Answers

Answer:

no

Step-by-step explanation:

no

Which of the following is a degenerate circle?
O A. x++y2 = -1
O B. x+y=2
O c. x² + y2 = 1
O D. (x – 4)+ (x - 2)2 = 0

Answers

C. X2+y2=1 and there is your answer thins could be wrong and I am sorry if it is have a great day!

a runner ran 2/3 of 5 km race in 21 minutes how long does it take to run the entire race

Answers

Answer:

31.5 min

Step-by-step explanation:

you divide 21 in hald to get 10.5 which is 1/3 to multiply by 3 for a whole race getting 31.5

can someone please help me with my math, im wasting alot of points and im getting either no answers, links, or ppl just wanting points. please help, ill give etrax points, but only if you help with ALL of them​

Answers

Answer:

Sure what are the questions?

Step-by-step explanation:

Trusted helper Ace Carlos

Answer:

you didnt put any questions.

Step-by-step explanation:

The price of a train season ticket increased by 4%.
The price of the ticket increased by £ 152.20
Work out the price of the train ticket before the increase.

Answers

The original price of the train ticket will be £3805.

What is the percentage?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The price of a train season ticket increased by 4%.The price of the ticket increased by £152.20

The original price will be calculated as:-

4 %  =  152.20

1 % =  152.20 / 4

1 %  = 38.05

So 100 percent will be calculated by multiplying by 100 on both sides.

100 % = 38.05 x 100

100% = 3805

Therefore the original price of the train ticket will be £3805.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ1

find the slope and y intercept form equation from the table ​

Answers

Answer:

y=x+5 or y=1x+5

Step-by-step explanation:

i hope this helps :)

Identify all integers greater than -12.

Answers

Answer:

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ect

Step-by-step explanation:

an integer is a whole number that is not a fraction, it can be positive or negative

the difference between the exterior and the corresponding interior angle of the triangle is 81 °. determine those angles.​ (type all the steps for it)

Answers

I have no clue what the difference is

(-6,4) (4,-6) simplified into radical form

Answers

Answer:

radical of 6 and radical of 2, radical of 2

Step-by-step explanation:

A flower shop sells two types of Iris flowers: versicolor and virginica. Often, people who buy the flowers want to know about the
petal length. The summary statistics are shown in the table.
Flower Petal Length (in mm)
Versicolor Virginica
Min
45
30
Q1
51
40
44
Median
Q3
55.5
59
47
Max
69
56
If customers want to buy the flower that has the greatest variety of petal length, which Iris should they buy?
O A. versicolor, because the minimum is greater
OB. versicolor, because the maximum is greater
OC versicolor, because the difference between the minimum and Q1 is greater
O D. virginica, because the range is greater
O E virginica, because the difference between Q3 and the maximum is greater
Hi

Answers

Answer:Hey I go to ohva the answer is c

Step-by-step explanation:I took the test

The option (C) versi-colour, because the difference between the minimum and Q1 is greater, is the correct choice.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have:

A flower shop sells two types of Iris flowers: first flower and second flower.

The data is shown in the picture.

As we know, the median is the mid-value.

The min value for the first flower = 45

The min value for the second flower = 30

Q1 value for first flower = 51

Q1 value for second flower = 40

Difference between min and Q1 for first flower = 6

Difference between min and Q1 for second flower = 10

6 < 10

Thus, the option (C) versi-color, because the difference between the minimum and Q1 is greater, is the correct choice.

Learn more about the median here:

brainly.com/question/21396105

#SPJ2

Which of the following terms correctly describe the object below? Check all that apply.

A. Cube B. Polyhedron C. Prism D. Solid E. Pyramid F. Polygon

Answers

Answer:

solid shape

Step-by-step explanation:

Write all the factors for 64?

Answers

Answer:

1, 2, 4, 8, 16, 32, 64

Step-by-step explanation:

1, 2, 4, 8, 16, 32, 64

what would this be please?

Answers

Answer:

I know the drawing is not cool :), But it is right

Step-by-step explanation:

I hope that is useful for you :)

Which expression will give the closest approximation to the square root of 156?

Answers

Answer:

C

Step-by-step explanation:

Took the assignment before

Lions and cheetahs prey on wildebeests that graze in the grasslands of the African savanna. What likely effect would increased rainfall over
several rainy seasons have on the populations of wildebeests, lions, and cheetahs?
Fjcjcjcjvjvjvnv. Vmvjcjcjvjvjfjfkfkfjfjfjjfjfjfn

Answers

Answer:

..

........................

Answer:

Step-by-step explanation:

All three populations would increase. The wildebeest population would decrease, and the lion and cheetah populations would increase.

who knows the answer to this ?

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If you divide each answer choice and then you divide the equation then you would know that both D and the normal problem equals 3.5.

PLEASE HELP I DONT UNDERSTAND

Answers

Answer:

I am pretty sure its 5

Step-by-step explanation:

Hey can you help me fast!!!

Answers

Answer:

32 squared ft

Step-by-step explanation:

Can someone please help me

Answers

Answer:

Point Form:

(-3, -5)

Equation Form:

x = -3, y = -5

Step-by-step explanation:

Hope This Helps! : )

Ashley plans to run a total of 24 miles this week. If Ashley has already run 25% of the total distance, how many more miles does she plan to run this week?
A. 6 miles

B. 20 miles

C. 4 miles

D. 18 miles

Answers

Answer:

D.18 millas

Step-by-step explanation:

dividimos  el 24 en cuatro partes que terminaria en 6 restamos 6-24 = 18 millas que seria el 75%

The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Function f is increasing, and function g is decreasing. B. Both functions are increasing, but function f is increasing faster. C. Both functions are increasing, but function g is increasing faster. D. Both functions are increasing at the same rate.

Answers

Answer:

Both functions are increasing, but function g is increasing faster

Step-by-step explanation:

Correct on a plato test. Have a great day!

Answer:

B. fashoooooooo

Step-by-step explanation:

Both functions are increasing, but function f is increasing faster.

Suppose your SAT score is 1180. You look up the average SAT scores for

students admitted to your preferred colleges and find the list of scores below.

Based on your SAT score of 1180, which average score below represents the

college that would be your best option?

Answers

Do you have the options for this?

Justin found that his text-messages contain 5 emoji for every 15 regular characters. How many emoji will Justin use if his text message contains 100 total characters ?

Answers

Answer:

Justin will use 300 emojis.

Step-by-step explanation:

15/5=3

So, 3 emoji for one regular character.

3*100= 300.

Answer:

33 emojis

Step-by-step explanation:

5 emojis = 15 characters

1 emoji = 15 ÷ 5 = 3 characters

100 ÷ 3 = 33.3

33.3 estimated to nearest whole number = 33

What is the midpoint of the segment shown below?

Answers

Answer:

option c is the correct answer

The correct answer is C

HELP!!!! i’m really confused and it’s due today

Answers

Answer:

I think H because it is the only one going vertical

Step-by-step explanation:

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