A cylinder has a radius of 5x + 4 and a height of 2x + 5. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula v=πr²h for the volume of a cylinder

Answers

Answer 1

Answer:

Step-by-step explanation:

Volume = pi·(r^2)*h

r = radius = (5x+4)

h = height = (2x+5)

 

Volume = pi·(r^2)

Volume = pi·(5x+4)^2*(2x+8)

Volume = pi·(25x^2+40x+16)*(2x+8)

Volume = pi·(50x^2+80x+32+200x^2+32x+128)

Volume = pi·(250x^2+112x+160)


Related Questions

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?

Answers

Answer:

3/16

Step-by-step explanation:

The total number of students = no. of students passed + number of students who failed.

i.e, 13+3=16

probability = 3/16 = 0.1875

Hope u understand

Please mark as the brainliest

Thank You

2 third times 4 fifths

Answers

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

2 x 4 = 8

3 x 5 = 15

8/15

2/3 x 4/5 would equal 8/15

What is the sum of the interior
angles of the polygon shown below?

Answers

900 let me know if it works!

What are all possible values of x? (This is not a right triangle!)

Answers

Answer:

solution set for x = { 4,5,6}

Answer:

2<x<12

Step-by-step explanation:

Firstly, look at this formula-

a-b<x<a+b

If we make 7, A, and 5, B, then the formula would be 7-5<x<7+5

So after you do the math it would be 2<x<12

Hence, the answer is 2<x<12

BTW if the answer is correct then can you please mark me brainlyest?

I'm only 9 years old

Thanks!

For the drawing, provide the missing lengths. x= hypotenuse y= leg

Answers

Answer:

Step-by-step explanation:

for hypotenuse

take 30 degree as reference angle

using sin rule

sin 30=opposite /hypotenuse

1/2=5/hypotenuse

10=hypotenuse

for base

using pythagors theorem

H^2=P^2+B^2

10^2=P^2+5^2

100-25=P^2

[tex]\sqrt{75}[/tex]=P

5[tex]\sqrt{3}[/tex]=P

For 11 days straight, Mike drove the same distance every day going to and coming from work. On the 12th day, he drove an extra 7 miles. If Mike drives 91 miles in total in those 12 days, write an expression to find the distance he travels each day going to and from work.

Answers

Answer:

A) The algebraic expression

= 12x + 7 = 91

B) He drives 7 miles per day

Step-by-step explanation:

For 11 days straight, Mike drove the same distance every day going to and coming from work.

Step 1

We are told : Mike drives 91 miles in total in those 12 days,

On the 12th day, he drove an extra 7 miles.

Hence:

91 miles - 7 extra miles

= 84 miles

Step 2

The number of miles he drives per day:

84 miles/12

= 7 miles per day

Step 3

The expression we can use to find the distance he travels each day going to and from work is written as:

Let the number of miles he travels be day = x

12x + 7 = 91 miles

12x + 7 = 91

12x = 91 - 7

12x = 84

x = 84/12

x = 7 miles per day

Using the figure, find the missing values. Round each value to the nearest whole number.

Answers

Answer:

44

14

19

47

Step-by-step explanation:

using trig functions

What is the greatest common factor that can be factored out of the polynomial 64x5 – 16x3 + 80x

Answers

Answer:

GCF = 16

Step-by-step explanation:

All 3 coefficients are divisible by 16, and 16 is the greatest factor that can divisible.

Answer:

GCF = 16

Step-by-step explanation:

64/16 = 4

16/16 = 1

80/16 = 5

All of the terms in the polynomial are able to be divided by 16 the GCF.

what number lies in between 18 and 24

Answers

Answer:

21

Step-by-step explanation:

24 - 18 = 6

6/2 = 3

18 + 3 = 21

Answer: 21

Step-by-step explanation:

18, 19, 20, 21, 22, 23, 24

1     2    3         3     2    1

21 is in the middle

express (3-i)^2 in standard form

Answers

Step-by-step explanation:

=3^2- 2×3×i + i^2

=9- 6i + i^2

See the picture below

Which number is the closest approximation of 39?​

Answers

Answer:

Because 39 is significantly closer to 36 than it is 49, the approximation of the square root of 39 to the nearest whole number would be 6

Step-by-step explanation:

Using the diagram below, determine which
statement is NOT true.

Answers

Answer: C

Step-by-step explanation:

HELP PLZ I LOVE YOU GUY LET GOOOOO

Answers

Answer:

9 no answer 10

10 no answer 630

11 no answer 12.56 ft^3

12 no answer 268.1 km^3

Step-by-step explanation:

What is the measure of A in the given figure?

Answers

The answer is 77 because 39+x=116
-39. -39
. ---------------

X= 77

If P= (2, 7) and Q= (2, -3), which could be the coordinates of R if triangle PQR is isosceles?

Answers

Answer: c

Step-by-step explanation:

Photos-To-Go printed 2,102 copies of a brochure for a travel agency. The brochure included 5 photos of popular vacation destinations. How many times will all 5 photos appear in all of the printed brochures? How do you know your answer is reasonable?

Answers

Answer:

All 5 photos will appear once in all the printed brochures

Step-by-step explanation:

Given

[tex]Copies = 2102[/tex]

[tex]Photos =5[/tex]

Required

The number of times the photo will appear

The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.

From the question, we understand that the photos will appear once in a copy.

By extension, the 5 photos will appear once in other copies.

Given the function: f (x) = (3 x + 4) minus (2 minus x) Evaluate for f (5). a. 22 b. 15 c. 16 d. 30 Please select the best answer from the choices provided A B C D

Answers

Answer:

A.22 is the answer

Step-by-step explanation:

When it says "f(5)", it is basically saying that what is the y-value if the x-value is 5. To find the y-value, we need to substitute 5 in for the variables. I have provided you with the steps.

18 * 3 represents one way that some cans are placed in equal groups on shelves

Answers

Answer:okay I think you might have to multiply

Step-by-step explanation:

It says cans are places in equal groups so if you do 18 x 3 you get 54

Milk A small dairy sells milk to local grocery stores. 1.a gallon of milk weighs between 8 and 9 pounds Part A about how much ounces does a gallon of milk way? Explain your answer

Answers

Answer:

between 128 and 144 ounces

Step-by-step explanation:

Recall that 1 pound equals 16 ounces.

8 pounds is 128 oz; 9 pounds is `144 oz.

Therefore, a gallon of milk weighs between 128 and 144 ounces.

If f (x) = 6x – 5,
find x for f (x = 13

Answers

Step-by-step explanation:

f(x)=136x-5=136x=13+5x=18/6x=3

hope it helps stay safe healthy and happy....

Answer:

Solution :-here,

f (x)= 13

or, 6x-5= 13

or, 6x =13+5

or, 6x = 18

or, x = 18/6

or, x = 3

hope it is helpful to you

What is the distance between (7,2) and (-3,2)?
A.8
B.12
C.4
D.10

Answers

Answer:

The answer is D

......(don't mind this it's because it says that it needs to be 20 characters long) but the answer is D

The answer is D (10)

Explanation:

Let (7, 2) be (x1, y1) and (-3, 2) be (x2, y2)

Using the Distance Formula,
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
= sqrt[(- 3 - 7)^2 + (2 - 2)^2]
= sqrt[(-10)^2 + 0]
= sqrt[100]
= 10 units

What is the value of y in the diagram?
х
56°
у
29°

Answers

Answer:

2y+29+29 =360

2y +58 =360

2y. =360-58

2y. =302

y. =151

Someone help please I need this Answer Immediately!!!!!!

Answers

Answer:

y = -1/2x - 4

Step-by-step explanation:

 Jamila earns $14,$11,$20,$15,$20 from babysitting 7 times. Find the interquartile range or IQR

Answers

Answer:

I have not done this math in a while but I think it is -8

Step-by-step explanation:

HELP DUE IN 15 MINS!


x = ?? degrees

Answers

Answer:

VWU and FWT are vertical angles.

Their measure is same and:

VWU = 1/2(mVU + mFT)x = 1/2(174° + 52°)x = 113°

A train travels a distance of 120 km at a constant speed of V kmh 1. If the speed
is reduced by 10kmh), then the time taken to the journey is increased by one
hour. Find the constant speed V of train.


Help me please

Answers

Answer:

V = 40 km/h

Step-by-step explanation:

Total distance = 120 km

Constant speed of train = V km/h

⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]

Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,

[tex]Speed \times Time = Distance[/tex]

[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]

[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]

[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]

[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]

[tex]=> V^2 - 10V - 1200 = 0[/tex]

Factorise the quadratic equation.

[tex]=> V^2 - 40V + 30V - 1200[/tex]

[tex]=> V(V - 40) + 30(V - 40)[/tex]

[tex]=> (V - 40)(V + 30)[/tex]

[tex]=> V = 40 \: (or) \: -30[/tex]

Speed can't be negative. So , V = 40 km/h

don’t understand how to do this

Answers

Answer:

C

Step-by-step explanation:

I don’t either hahahqhqhahahahahqhqhqhqhqh

Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P " ¨ ˝ 0.5 0.4 0.1 0.3 0.4 0.3 0.2 0.3 0.5 ˛ ‚. (a) Compute the stationary distribution π. (b) Is the stationary distribution π also the limiting distribution? Give a reason for your answer.

Answers

Answer:

The responses to the given can be defined as follows:

Step-by-step explanation:

For point a:

fixing probability vector that is [tex]W = [a b c][/tex]

[tex]\therefore[/tex]

relation: [tex]WT =W[/tex]

[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]

solving the value:

[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]

Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]

For point b:

[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]

[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.

HELP PLEASE ASAP PLESDE HELP

Answers

Answer:

16^¼=2

Step-by-step explanation:

16^¼=⁴√16

so, 2⁴=16

so it's 2,

verification

2×2×2×2=16

Answer:

2

Step-by-step explanation:

HELP PLEASE ASAP PLEASE TYSM TYSM WILK+L MARK BRAINLIEST! IF YOU PUT IN A RANDOM ANSWER YOU WILL BE REPORTED TYSM HELP ASAP PLEASE TYSM

Answers

Answer:

6.25

Step-by-step explanation:

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