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

Write 3.1415×106 in standard notation

Answers

Answer:

332.999

Step-by-step explanation:

juice wrld

20 points for correct answer

Answers

Answer:

0.167 is rational

2/6 is rational and the other two is irrational

:)

Step-by-step explanation:

A population of 6000 bacteria is growing at a rate of 6% each day. Write 2 an equation that expresses the number of bacteria at time x.

A. y = 6000(.06)×
B. y = 6000(1.06)×
C. y = 6000(.94)×​

Answers

Answer: B. y = 6000(1.06)×

Step-by-step explanation: If it is growing at six percent (0.06) each day then you must also account for the amount that is already there (1).

Part of the population of 5,500 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 6 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.​

Answers

Answer:

5444

Step-by-step explanation:

5,500-50=5,450

5,450-6=5,444

Answer:

x = 660

Step-by-step explanation:

Solve

Write the proportion where x is the number of infected elk

6/50 = x/5,500

Cross multiply

5500 ÷ 50 = 1100 x 6

x = 660

4. MN has an equation of 2x - y = 3. Which of the following is the equation of a line
perpendicular to MN and passes through the point (4,3)?
A.
1
y = --X-5
2
C, y = -x-
2
B.
y = -2x-5
D. y = -x + 5
2

Answers

I think the answer is C

I need help solve this problem please

Answers

Answer:

X=5

15x=75

Step-by-step explanation:

2) 24, 12, 10, 15, 10, 22, 12 mean: _________ median: _________ mode: ________ range: ________

Answers

Mean:15
Median:12
Mode:12,10
Range:14

-3×4y = (4+5y)-72 answer fast with steps plz

Answers

Answer:

-12y=5y-68     true for all X

Step-by-step explanation:

-3x4y=(4+5y)-72

simplify:

-3x4y=12y

simplify:

(4+5y)-72

remove parentheses:

4+5y-72

subtract the numbers:

4-72= -68

=5y-68

-12y=5y-68

Answer:

the answer would be 4

Step-by-step explanation:

−3(4y)=4+5y−72

−12y=4+5y+−72

−12y=(5y)+(4+−72)(Combine Like Terms)

−12y=5y+−68

−12y=5y−68

Step 2: Subtract 5y from both sides.

−12y−5y = 5y−68−5y

−17y= −68

Step 3: Divide both sides by -17.

−17y                    -68

------------       =   -----------

-17                        -17

y = 4

HELPPPPP ASAP 10 POINTS

Answers

Answer:

area = 38.47 cm²

Step-by-step explanation:

area = 1/4(3.14)(7²) = 38.47 cm²

Some parents will drive 17 children to summer camp. Each parent can fit 4 children in a car.
What is the fewest number of parents needed to drive all the children?

Answers

Answer:

5

Step-by-step explanation:

A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas? 36 meters 3,600 meters 360 meters 36,000 meters​

Answers

Answer:

36,000 meters. 12km= 12,000m multiply by 3l of gas.

Step-by-step explanation:

The car will travel 36000 meters using 3 liters of gas as per linear equation.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".

Given, a car uses 1 liter of gas every 12 kilometers.

Therefore, using 3 liters of gas, the car will go

= 3 × 36 kilometers

= 36 kilometers

= 36000 meters

With 3 liters of gas, the car will travel 36000 meters.

Learn more about a linear equation here: https://brainly.com/question/18840245

#SPJ2

A) are un număr de 6 vârfuri, 9 muchii, 5 feţe. b) bazele prismei sunt ......................................................................... c) muchiile laterale sunt .......................................... Pe planele bazelor. 2) Pentru o prismă triunghiulară regulată cu latura bazei de 6 cm şi înălţimea de 43cm: a) suma lungimilor tuturor muchiilor este de .................. Cm; b) aria bazei este de ......... Cm2; c) aria laterală este de ......... Cm2; d) aria totală este de ......... Cm2; e) volumul este de ......... Cm3.

Answers

Answer:

A

Step-by-step explanation:

Based on the data given in the table,
which is a reasonable estimate of
the download time of a 600-kilobyte
A 10 seconds
B 12 seconds
C 15 seconds
D 17 seconds

Answers

Answer:

C. 15 seconds

Step-by-step explanation:

It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.

PLEASE HELP ON THIS TOO! I need major help! Please explain it the best you can bc I rlly need help :(

Answers

Step-by-step explanation:

Use the rotation rule,

90 degree clockwise rule is

[tex](xy) = ( y)( - x)[/tex]

Plot the points of the pre image

[tex]( - 3)(0)[/tex]

[tex]( - 2)( - 4)[/tex]

[tex]( - 1)( - 2)[/tex]

Use the rule that turns into,

[tex](0)(3)[/tex]

[tex]( - 4)(2)[/tex]

[tex]( - 2)(1)[/tex]

Plot the new points. in the coordinates above.

What is a correct name for the angle shown? R S T O LE O ZS O LEITE O LEFT​

Answers

Answer:

RTS.

Step-by-step explanation:

This is an obtuse angle.

Mhanifa please help! Look at the picture attached!!!

Answers

Answer:

(17)

Sum of interior angles of a quadrilateral is 360°

110° + 130° + x + x - 3° = 360°2x = 360° - 237°2x = 123°x = 61.5°

(18)

Sum of interior angles of a hexagon is 180°*(6 - 2) = 720°

2*90° + 2x + 2(x + 22°) = 720°90° + x + x + 22° = 360°2x = 360° - 112°2x = 248°x = 124°

(19)

Interior angles of a given pentagon are all marked as congruent, so the exterior angles are congruent too.

Sum of exterior angles is 360°.

x = 360°/5x = 72°

PLEASE HELP!!!

sin 0 = 9/41. Find tan 0.​

Answers

Answer:

B. 9/40

Step-by-step explanation:

just got the answer

The value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric ratio:

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

sinθ = 9/41

sin is the ratio of the side opposite to the hypotenuse.

From the Pythagoras theorem:

Adjacent side² = hypotenuse² - opposite²

Adjacent side² = 41² - 9²

Adjacent side = 40

tan is the ratio of the side opposite to the adjacent

tanθ = 9/40

Thus, the value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

A company used 7.4 x 105 sheets of paper a month, the accounting department used 8.9 x 103 sheets. How many were used by other departments during the month

Answers

Answer:

731,100

7.311 × 10^5

Step-by-step explanation:

The computation of the number of sheet used by other department is given below:

Given  that

The company used 7.4 × 10^5 sheets of paper So it would be 740,000  

And, The accounting department used 8.9 × 10^3 sheets so it would be 8,900  

Now the number of sheet used by other department is

= 740,000 - 8,900

= 731,100

= 7.311 × 10^5

Someone help me pls

Answers

Step-by-step explanation:

that would be the right answer

Where does 8\10 go on a splited number line

Answers

Answer:

image

Step-by-step explanation:

on image, ignore the p, q and r...

solve 15=2y - 5 (for homework)

Answers

y=10

2×10=20-5=15

.......

Answer:

y=10

Step-by-step explanation:

15 = 2y - 5

add 5 to both sides

15 + 5 = 2y - 5 + 5

add the numbers

20 = 5y

divide

y = 10

the stove you have to bake in is an old one and only has the temperature in ° Fahrenheit. You are making rusks and have to dry them overnight at a temperature of 176°.Convert this temperature to ° Celsius​

Answers

Answer:

[tex]80^{\circ} C[/tex]

Step-by-step explanation:

You are making rusks and have to dry them overnight at a temperature of 176° F.

The given temperature is in Fahrenheit. We need to convert it into °C.

The relation between Fahrenheit and  °C is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex]

Put F = 176

So,

[tex]C=\dfrac{5}{9}(176-32)\\\\C=\dfrac{5}{9}\times 144\\\\C=80^{\circ} C[/tex]

So, the temperature is equal to [tex]80^{\circ} C[/tex].

In Phoenix, Arizona, the average temperature is 85 degrees Fahrenheit or higher during 25% of the year. During about how many weeks of the year is the average temperature below 85 degrees Fahrenheit?

Answers

Answer: 39 weeks

Step-by-step explanation:

Given

The average temperature is [tex]85^{\circ}F[/tex] or higher

A year has 52 weeks

It is given 25% of the time-temperature is above [tex]85^{\circ}F[/tex]

So, in the remaining 75% of the weeks, the average temperature is less than [tex]85^{\circ}F[/tex]

No of weeks can be determined by

[tex]\Rightarrow 75\%\ \text{of}\ 52\\\\\Rightarrow \dfrac{75}{100}\times 52=39\ \text{weeks}[/tex]

What is the length of the arc by a central angle of 85 degrees and a radius of 8cm to the nearest tenth of a cm?

Answers

9514 1404 393

Answer:

  11.9 cm

Step-by-step explanation:

Arc length is given by ...

  s = rθ . . . . . . θ is the central angle in radians

Your central angle is 85°, so is (85/180)π radians = 17/36π radians.

Then the arc length is ...

  s = (8 cm)(17/36π) ≈ 11.9 cm

The length of the 85° arc is about 11.9 cm.

1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem

Answers

Answer:

x + y = 35  equation 1

x + 2y = 62  equation 2

He made 8 1 point free throw

He made 27 2 point field goal

Step-by-step explanation:

let x = 1 point free throw

y = 2 point field goal

two equations can be derived from the question

x + y = 35  equation 1

x + 2y = 62  equation 2

Subtract equation 1 from 2

y = 27

Substitute for x in equation 1

x = 35 - 27 = 8

He made 8 1 point free throw

He made 27 2 point field goal

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -2,- 2+i. ​

Answers

Answer:

f(x) = x^3 + 2x^2 + x + 2

Step-by-step explanation:

If -2 + i is a zero, then -2 - i must also be a zero.

These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).

(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.

Multiplying this result by the 3rd and last factor, (x + 2), we get

(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2

Check, using synthetic division.  What are the factors of x^3 + 2x^2 + x + 2?

-2   /   1    2    1    2  

              -2   -2   -2

     -----------------------

         1      0    -1    0                  Since the remainder is zero, we know that

                                                    (x + 2) is a factor and -2 is a root.

loolllllllll i neeeddd helpppp asapppppppp

Answers

The median is 4 and the range is 5 the average should be 4.5

The median is where the middle is so if you count on either side until you get to the middle you have the median. The average is all the numbers added up divided by the number of numbers ( you might want to check me incase I typed it in wrong on my calculator. The range is just the highest- the lowest:)
Hope this helps

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

A

Step-by-step explanation:

the area is approximately ___ square ft.

use 3.14 for pi​

Answers

Answer:

200.96

Step-by-step explanation:

divide the diameter by 2, to get 8. then multiply 8 by 8 to get 64. 64×3.14 is 200.96

A dog walking company charges $90 to walk 6 dogs. They charge the same amount of money to walk each dog. Which table represents the relationship between the number of dogs the company walks and the amount of money they charge?

Answers

Answer:

15

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i did k12

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