(, , . . , . , , .)Use the shell method. Each shell has a height of 3 - 3/4 y , radius y, and thickness y, thus contributing an area of 2 y (3 - 3/4 y ). The total volume of the solid is going to be the sum of infinitely many such shells with 0 y 2, thus given by the integral[tex]\displaystyle 2\pi \int_0^2 y \left(3-\frac34 y^2\right) \,\mathrm dy = 2\pi \left(\frac32 y^2 - \frac3{16} y^4\right)\bigg|_0^2 = 6\pi[/tex]Or use the disk method. (In the attachment, assume the height is very small.) Each disk has a radius of (4/3 x), thus contributing an area of ((4/3 x)) = 4/3 x. The total volume of the solid is the sum of infinitely many such disks with 0 x 3, or by the integral[tex]\displaystyle \pi \int_0^3 \left(\sqrt{\frac43x}\right)^2 \,\mathrm dx = \frac{2\pi}3 x^2\bigg|_0^3 = 6\pi[/tex]Using either method, the volume is 6 18,85. I do not know why your textbook gives a solution of 90,43. Perhaps I've misunderstood what it is you're supposed to calculate? On the other hand, textbooks are known to have typographical errors from time to time...

Mathematics College

ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ ДАЮ 23 ОЧКА!!!

Решите пожалуйста только 3.15 буду благодарен. Остальные не нужны

Answers

Answer 1

(Простите, пожалуйста, мой английский. Русский не мой родной язык. Надеюсь, у вас есть способ перевести это решение. Если нет, возможно, прилагаемое изображение объяснит достаточно.)

Use the shell method. Each shell has a height of 3 - 3/4 y ², radius y, and thickness ∆y, thus contributing an area of 2π y (3 - 3/4 y ²). The total volume of the solid is going to be the sum of infinitely many such shells with 0 ≤ y ≤ 2, thus given by the integral

[tex]\displaystyle 2\pi \int_0^2 y \left(3-\frac34 y^2\right) \,\mathrm dy = 2\pi \left(\frac32 y^2 - \frac3{16} y^4\right)\bigg|_0^2 = 6\pi[/tex]

Or use the disk method. (In the attachment, assume the height is very small.) Each disk has a radius of √(4/3 x), thus contributing an area of π (√(4/3 x))² = 4π/3 x. The total volume of the solid is the sum of infinitely many such disks with 0 ≤ x ≤ 3, or by the integral

[tex]\displaystyle \pi \int_0^3 \left(\sqrt{\frac43x}\right)^2 \,\mathrm dx = \frac{2\pi}3 x^2\bigg|_0^3 = 6\pi[/tex]

Using either method, the volume is 6π ≈ 18,85. I do not know why your textbook gives a solution of 90,43. Perhaps I've misunderstood what it is you're supposed to calculate? On the other hand, textbooks are known to have typographical errors from time to time...

Related Questions

In a class othe ratio of the number of boys to the number of girls is 5:6.if there are 20 boys in the xlass, how any pupils are in the class

Answers

There would be 24 girls in the class.

5:6 is equal to the proportion 20:24. You know that the number of boys is 20, which is 4 times the ratio of boys, so you multiply 6 by 4 to get 24.

Let the number of girls be x.

According to the question,

[tex] \implies \: \dfrac{5}{6} = \dfrac{20}{x} [/tex]

[tex] \implies \: 5x = 20 \times 6[/tex]

[tex] \implies \: 5x = 120[/tex]

[tex] \implies \: x = \cancel\dfrac{120}{5} [/tex]

[tex] \implies \: x = 24[/tex]

[tex] \cal \therefore \: Number \: of \: girls \: are \: 24.[/tex]

Now,

Pupils in the class = Boys + Girls

[tex] \rightarrow20 + 24[/tex]

[tex] \rightarrow44[/tex]

Total number of pupils are 44 .

how many hours are from 2:30pm to 11:00pm?

Answers

Answer:

10 hours and 30 minutes.

Step-by-step explanation:

Hope it helps

Triangle A’B’C’ is a dilation image of triangle ABC. Which is the correct description of the dilation?

A. Center C and scale factor 4

B. Center A and scale factor 4

C. Center A and scale factor 5

D. Center C and scale factor 5

Answers

Answer:

Step-by-step explanation:

Center is the point that does not change and that point is A. To find the scale factor you just divide the translated length by the original, in this case, 8÷2 which gives a scale factor of 4.

225 is what percent on 75 solved in an equation

Answers

Answer:

300%

Step-by-step explanation:

[tex]\frac{225}{75} = \frac{y}{100}[/tex]

225 × 100 = 75 × y

22500 = 75y

75y ÷ 75 = 22500 ÷ 75

y = 300

300%

Here is a formula for most percent problems.

I need help I'll give brainliest

Answers

Answer:

It's a Right angled triangle

HELP ILL GIVE BRAINLIEST PLSSS

Answers

1. 24
2. 40
3. 42
I hope this helps ! I’m so sorry if any of them are incorrect

Find sin X.

1.sinX=4/5
2.sinX=5/4
3.sinX=3/5
4.sinX=3/4

Answers

Answer: 1. Sinx=4/5

Sinx=yz/xy=36/45=4/5 (divided by 9)

Pls help die in 10 mins

Answers

Answer:

Area of sector of a circle = 28.26 meter²

Step-by-step explanation:

Given:

Side of cube = 12 meter

One white section = sector of a circle

Find:

Area of one white section

Computation:

Radius of circle = Side of cube / 2

Radius of circle = 12 / 2

Radius of circle = 6 meter

One white section = sector of a circle

Area of sector of a circle = [θ/360][π][r]²

Area of sector of a circle = [90/360][22/7][6]²

Area of sector of a circle = [0.25][3.14][36]

Area of sector of a circle = 28.26 meter²

In ΔRST, r = 59 cm, s = 10 cm and t=68 cm. Find the area of ΔRST to the nearest 10th of a square centimeter.

Answers

Answer:

Area≈137.965≈138

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in Hays County were selected in 2014. The average square footage was 2,031 with a standard deviation of 373 square feet. Does this sample provide enough evidence to conclude that the average house size has increased in the Hays County since 2010? Test at an alpha level of 0.05. Find the test statistic.

Answers

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

[tex]H_0: \mu = 1872[/tex]

And the alternate hypothesis is:

[tex]H_a: \mu > 1872[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

1872 is tested at the null hypothesis:

This means that [tex]\mu = 1872[/tex]

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that [tex]n = 40, X = 2031, \sigma = 373[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}[/tex]

[tex]z = 2.7[/tex]

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

The table below shows some values that satisfy a linear function.
Х
Y
-5
0
-3
3
-1
6
1
9
3
12
What is the slope of the line that is represented by the values in the table above?
w

Answers

Answer:

3/2

Step-by-step explanation:

Truthfully, you only need two points for a linear equation, so I will only use two.

(-5, 0)

(-3, 3)

I will use the skeleton method to find the slope

((0) - (3))/((-5) - (-3)) -> -3/-2

The slope is 3/2

Please answer now
#3
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price of the book?
Part B
A customer buys a different book that has an original selling price of $38. The book is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount the customer pays for the discounted book?
Enter your answer in the box.
1
2
3
.
5
6
s
7
8
0

Answers

Step-by-step explanation:

too long

Answer:

do you have a ilnk i cant understand

Step-by-step explanation:

helllllllppppp plzzz

Answers

Answer:

Answer D) B, C, and D

Step-by-step explanation:

Point D is 2 and point B is -2, meaning they are opposites of each other. Point C is 0, which is it's own opposite

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
[tex]\frac{14x^{4}y^{6} }{7x^{8}y^{2} }[/tex]

A.
[tex]\frac{2y^{4} }{x^{4} }[/tex]

B.
[tex]\frac{7y^{3} }{x^{2} }[/tex]

C.
[tex]7x^{4} y^{4}[/tex]

D.
[tex]2x^{2} y^{3}[/tex]

Answers

Answer:

Step-by-step explanation:

Answer is A i ran it through my phone

What is the answer pls it’s for a grade

Answers

Answer:

Skewed right

Step-by-step explanation:

Answer:

Skew right... Glad to help

At the end of the bike ride everyone drank a 16 FLU ID ounce bottle of sports drink. If 12 kids and two adults or on the bike ride, how many quarters of sports drink did the riders drink?

Answers

Answer:

7 quarts

Step-by-step explanation:

16 fl oz = 2 cups. 14 people went on the ride which means there were 28 cups drinken in all. 28/4 = 7

If 536-1-56-3, what is the value of b?
-2
-1
O O O O
NE

Answers

the answer to this is -2

482 – 412 + 286 - 12 x 204solve

Answers

Answer:

70,176

Step-by-step explanation:

Given that

482 - 412 + 286 - 12 × 204

We need to solve the above equation

= 482 - 412 + 286 - 12 × 204

= 70 + 286 - 12 × 204

= 356 - 12 × 204

= 344 × 204

= 70,176

Hence, the answer to the given equation is 70,176

The same is to be considered and relevant

1 + [tex]\frac{4}{8}[/tex]

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\frac{8+4}{8}[/tex]

[tex]\frac{12}{8}[/tex]

[tex]\frac{3}{2}[/tex]

Jill and Alice each sold 40 pieces of
fruit. If 15% of Jill's sales were apples,
and Alice sold 5 apples, who sold more
apples? How many more?
Show work to find
Jill's apples!

Answers

Jill sold 6 so she sold 1 more apple.
.15x40=6

Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks. please help!!!

Answers

Answer: (40x)+500

Step-by-step explanation:

A car can go 30 miles on one gallon of gas. About how many gallons of
gas will be used to go 200 kilometers? (Note: 1 mile is approximately 1.6
kilometers) *
a. 125
b. 5
c. 4
d. 19
^^i forgot the answers!!!

Answers

Answer:

Step-by-step explanation:

First divide 200 by 1.6 which will give you 125

Then divide 125 by 30 which will give you 4

the answer is 4 !!!!

At the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music. Of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical. Determine the empirical probability that the next person entering the store favors
(a) rock music.
(b) country music.
(c) something other then rock, country, or classical music.

Answers

Answer:

A) 20%.

B) 26.66%.

C) 40%.

Step-by-step explanation:

Since at the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music, and of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical, to determine the empirical probability that the next person entering the store favors (a) rock music, (b) country music, and (c) something other then rock, country, or classical music, the following calculation must be performed:

60 = 100

12 = X

12 x 100/60 = X

1200/60 = X

20 = X

Therefore, the probability that the next person favors rock music is 20%.

60 = 100

16 = X

16 x 100/60 = X

1600/60 = X

26.66 = X

Therefore, the probability that the next person favors country music is 26.66%.

60 = 100

24 = X

24 x 100 / 60 = X

2400 / 60 = X

40 = X

Therefore, the probability that the next person favors another type of music is 40%.

The question is in the screen shot pls help

Answers

Click on the photo.............

Can you help me with this please???

Answers

Answer:

Step-by-step explanation:

divide 14 by 4 to solve it, you get 3.5 or 3 1/2

A class has 10 students with ages 3 3 3 3 3 4 4 4 4 5. If a student is chosen randomly, the probability of the student being age 3 is 5/10 or 0.5, age 4 is 4/10 or 0.4, and age 5 is 1/10 or 0.1. What is the expected age of a randomly chosen student?

Answers

Answer:

Step-by-step explanation:

because they have more change to be pick wife they have more higher percentage of the class

please help me thank you

Answers

Answer:

Step-by-step explanation:

The answer is B because 3/5 of 1/2 is less than 1/2. The equation that represents this problem is

3/5 x 1/2 = 3/10

3/10 < 1/2

Therefore, 3/5 is less than 1/2!

7. Falls Canyon has an area of 1458 square miles. If the population density of deer is 50 deer per square mile, what is the total population of deer, rounded to the nearest thousand?
70,000
10,000
73,000
7,000

Answers

Answer:

73,000

Step-by-step explanation:

1458*50=72000

Answer:

73,000

Step-by-step explanation:

How can you write the fraction 4/10 as an equivalent fraction over 100

Answers

Answer:

40/100

Step-by-step explanation:

4/10 can be made into an equivalent fraction by multiplying each number by 10. This is because we need to change the denominator into 100 and 10x10=100.

10(4/10)=40/100

40/100 is the answer

Hope this helps!

The volume of the pyramid is 8in3. What is the height of the pyramid? (Sides are 5in and 4in)

Answers

Answer:

h = 0.4 inches

Step-by-step explanation:

Given that,

The volume of the pyramid is 8 in³.

The sides of the pyramid are 5 in and 4 in.

We need to find the height of the pyramid.

The formula for the volume of pyramid is given by :

V = lbh

Where h is the height of the pyramid

So,

[tex]h=\dfrac{V}{lb}\\\\h=\dfrac{8}{5\times 4}\\\\h=0.4\ in[/tex]

So, the height of the pyramid is 0.4 inches.

Other Questions

can someone help quick I need to write a block format essay PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! Which of the following best explains why the United States went to war inVietnam?A. Lyndon Johnson believed that he needed to differentiate himselffrom John F. Kennedy to win reelection.B. Vietnam controlled access to valuable natural resources thatAmerican corporations hoped to acquire.C. Vietnamese communists refused to participate in open electionsto determine the country's postcolonial leadership.D. U.S. foreign policy was rooted in the idea that the spread ofcommunism must be contained. Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 16, -8, 4, ...16,8,4,.... what is an example of how a Power of Attorney impact a nurses care with a patient? Describe a walk through the forest. Use your five senses (sight, sound, smell, tase,touch) to describe your surroundings. Be as descriptive as possible, using adjectives anddetails. HELP PLEAASEE How many cubes with an edge length of 1 inch fill this box? 3. Find the slope of the line through the pair of points.(12, 2), (-7,5) Create a list of 5 potential jobs that students of genealogy can obtain. HELPPPP!!! ASAPPPPP!!! helpp anybodyyy ?? ill give brainliest Lol please help_________________________________________________________________Write and solve an equation to find the missing dimension of the prism.Volume = 1620 cm3 Why has the meaning of the phrase all men are created equal changed over the years? A number is five more than three times another number. The sum of the two numbers is 33. Equation X plus 3X +5+352 find the value i give brenliestThe Pythagorean Theorem for a right triangle is a2 + b2 = c2, wherea and b are the legs of the triangle and c is its hypotenuse. The shorterleg is 10 inches less than the other leg, and the hypotenuse is 10 incheslonger than that other leg. What is the length of the hypotenuse?b) 40 inchesa) 30 inchesc) 50 inchesd) 60 inches Peaches at the Farmers Market cost $2.70 per pound. is that proportional or non-proportional? You need 1/2 a cup of butter for every 2 eggs in a chocolate chip cookie recipe What is the unit rate of cups of butter per egg? Why does the pancreas secrete alkaline juices? You have of 4 cups of cereal in total each person can eat 1/3 cup how many people can eat

ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ ДАЮ 23 ОЧКА!!! Решите пожалуйста только 3.15 буду благодарен. Остальные не нужны

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ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ ДАЮ 23 ОЧКА!!!

Решите пожалуйста только 3.15 буду благодарен. Остальные не нужны