Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=x2, 0≤x≤3, y=9, and x=0 about the y-axis.

Volume =

Answers

Answer 1

Answer:

113.08 cm^3

Volume for sphere = 4/3 Pi 3^3

y = x^2 - (x+0) (x+0)< 3 would equal x = 1.25 and y = 2.5 max

then y = 9 and x = 0 around the y axis

We find (1.25, 2.5) (0,9)

y + 1 = 0 + 1.25 + 9

y+ 1 = 10.25

radius therefore = 3^2 = 3

and surface area = pi x 9 =  28.2743338823

= 28.27cm^2 x 4 = 113.1cm

If it is a sphere you then multiple 4/3 pi r^3 is exactly the same as 4pir^2

Step-by-step explanation:

Answer 2

The volume of the solid is [tex]9\pi[/tex] cubic unit.

Volume of solid :

The volume of the solid obtained by rotating the curve [tex]y=f(x)[/tex] is given as,

                        [tex]V=\int\limits^b_a \pi {y^{2} } \, dx[/tex]

Given that, [tex]y=x^{2} ,a=0,b=3[/tex]

Substitute above values in volume formula.

         [tex]V=\int\limits^3_0 \pi{x^{2} } \, dx \\\\V=\pi(\frac{x^{3} }{3} )^{3} _{0}\\\\V=\frac{\pi}{3} (27-0)=9\pi[/tex]

Thus, the volume of the solid is [tex]9\pi[/tex] cubic unit.

Learn more about the volume here:

https://brainly.com/question/1972490


Related Questions

based on your understanding about matendo
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Determine if the following terms represent a POINT, a LINE or a PLANE
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6. wall
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7. Note card
3. Cable wire
8. mole
4. Laptop
9. Hair strand
5. Edge of a table
10 Edge of the desk​

Answers

Answer:

what is the question? where is the diagram?

plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help find the value of x

Answers

Answer:

5x = 120, so

x = 24

Answer:

x = 24

Step-by-step explanation:

5x = 120

x = 24

[Please give me a brainliest]

The Jackson family went to soups and wiches and bought four sand which sand three bowls of soup for $27. The frank family went to soups and wiches and bought one bowl of soup and five sandwiches for $25.50. Let w represent the cost of the sandwich CNN es and a represent the cost of a bowl of soup. Identify which system of equations represents the situation.

Answers

Answer:

4w + 3c = $27

5w + c = $25.50

Step-by-step explanation:

Let us assume the w represent the cost of the sandwich

And, the c represent the cost of the bowl in a soup

Now the equations are

4w + 3c = $27

5w + c = $25.50

These two should be the equations that represent the situation

I added a picture of the problem​

Answers

Answer:

x≥88

88

88≤x≤100

Step-by-step explanation:

83x3=249

249-73-88=88

x≥88

88

88≤x≤100

The data set below shows the number of points scored by a basketball team for each of nine games. If the mean of the data is 83 and the standard deviation is 6.5, identify all the scores that are within one standard deviation of the mean. {71, 77, 79, 80, 83, 87, 88, 90, 92}​

Answers

Answer:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

Step-by-step explanation:

The mean of the data is 83 and the standard deviation is 6.5, find scores within 1 standard deviation of the mean:

Between

83 - 6.5 = 76.5

83 + 6.5 = 89.5

So:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

-3 - 8 (-5x - 1) distributive property

Answers

Answer:

5 +40x

Step-by-step explanation:

Distributive property:a*(b +c) =(a*b) + (a*c)

-3 - 8( -5x - 1) = -3 + (-5x)*(-8) + (-1) * (-8)

                     = -3 + 40x + 8

                     = -3 + 8 + 40x      {combine like terms}

                     = 5 + 40x

Rita works 1234 hours in her first week at a new job. She works 1514 hours in the second week. How many more hours does Rita work the second week?

Answers

Answer:

280

Step-by-step explanation:

1514-1234 = 280

hi can you please help me with my work​

Answers

Answer:

The penicl is about 6.5 inches long.

Step-by-step explanation:

Aquarium World
A package shipment company recorded the number of
packages received at each of two businesses,
Aquarium World and Rare Vinyl. The line plots show
the number of packages received at each business
every day over 2 weeks.
x x
X X X X X
X X X X X X X
5
10
15
What statements about the two plots' distributions are
true?
Rare Vinyl
Choose each correct answer.
The range of packages shipped to
Aquarium World is greater than the range in
packages shipped to Rare Vinyl.
The range of packages shipped to Rare
Vinyl is greater than the range of packages
shipped to Aquarium world.
Only the distribution of the data for
packages shipped to Aquarium World is
approximately symmetrical.
The distribution of the data for packages
shipped to both business is approximately
symmetrical.

Answers

Answer:

•the range of packages shipped to rare vinyl is greater than the range of packages shipped to aquarium world.•

•The distribution of the data for packages shipped to both business is approximately symmetrical.•

Step-by-step explanation:

I took the test

need help will give brainliest ​

Answers

Answer:

ok so, gold has to be 0.26

bronze has to be 0.20

copper has to be 0.32

Step-by-step explanation:

Answer:

0.26 gold

0.20 bronze

0.32 copper

Step-by-step explanation:

take the frequency of each color and divide by the total number of tosses made to get the probability




3. The sum of two numbers is 30 and their difference is 12. Find the two numbers.

Answers

Answer:

I don't know is it 12 and 16 I'm not sure

Answer:

The two numbers are 21 and 9

Step-by-step explanation:

Let the two numbers be a and b

The sum of these numbers is 30

a+b=30

The difference between these numbers is 12

a−b=12

                             ―――――――――

I.  You can solve this by logic.

If the two numbers were exactly equal, then they would both be 15.

15+15=30

But the difference would be 0, not 12

So if you lowered b by one point, and added that to a, then the two numbers would be 16 and 14, and the difference would be 2.

So you can see that for every point you subtract from b to add to a, you increase the distance between them by 2

So, by logic, you need to subtract 6 points from b and add them to a to create a difference of 12

(15+6) minus (15−6) gives a difference of 12

.m21.....−mm∩9       =  12

Answer:

The two numbers are 21 and 9

                   ―――――――――

II.  You can solve this by math

These are simultaneous equations, so you can solve them by math.

.a+b=30

.a−b=12

――――――

2a +0=42

.a         =21 ← same answer

In a class of pupils, 11 play the flute and piano.
10 play the flute only.
5 play the piano only.
3 play neither instrument.
How many pupils are in the class?

Answers

Answer:

The answer is 29

Step-by-step explanation:

11+10+5+3=29

Find the 3rd quartile of the date set:

72, 74, 76, 78, 82, 84, 87, 90, 91, 93, 99, 99, 100

Answer:

Answers

Answer:

101 102 108 156 1784 1267

The third quartile of the data set is 96.

Hope this helped! :)

What is the percents of the quantity 30% of 760

Answers

Answer:

the answer is 228

Step-by-step explanation:

30% × 760 =

(30 ÷ 100) × 760 =

(30 × 760) ÷ 100 =

22,800 ÷ 100 =

228

I hope this is what you were looking for

Answer:

228

Step-by-step explanation:

30% of 760 = [tex]\frac{30}{100}*760[/tex]

                  = 3 *76

                  = 228

What are the two possible answers for the equation Ix/5I = 3?

Answers

Answer:

Either [tex]x = -15[/tex] or [tex]x = 15[/tex].

Step-by-step explanation:

[tex]|x| = \left\lbrace \begin{aligned} & x && \text{if $x \ge 0$} \\ & -x && \text{if $x < 0$}\end{aligned}\right.[/tex].

Hence, there are two possibilities to consider:

Either [tex](x / 5) \ge 0[/tex],Or [tex](x / 5) < 0[/tex].

If [tex](x / 5) \ge 0[/tex], then [tex]|x / 5| = x / 5[/tex].

Substitute into the original equation: [tex]x/ 5= 3[/tex]. Solve for [tex]x[/tex]: [tex]x = 15[/tex].

Important: verify that the solution [tex]x = 15[/tex] meet the assumption [tex](x / 5) \ge 0[/tex]. Indeed, [tex](x / 5) = (15 / 5) = 3[/tex] and is indeed non-negative. Hence, the solution [tex]x = 15\![/tex] is valid.

On the other hand, if [tex](x / 5) < 0[/tex], then [tex]|x / 5| = - x / 5[/tex].

Substitute into the original equation: [tex](-x / 5) = 3[/tex]. Solve for [tex]x[/tex]: [tex]x = -15[/tex].

Similarly, verify that the solution [tex]x= - 15[/tex] satisfies the current assumption that [tex](x / 5) < 0[/tex]. Indeed, this assumption is met, and [tex]x = -15[/tex] is also a valid solution.

Show work pls! :D
Given the following 30-60-90 triangle, find the value of x and y. Round to the nearest tenth.

Answers

y=6, x=3sqrt3(or approximately 5.2). In a 30-60-90 triangle, the long leg is equal to short leg(sqrt3), and the hypotenuse is equal to short leg(2).

Which image below shows the result of an image that has been rotated 180 by the origin O?

Answers

The new image will be reflected across the x axis and will be on the opposite side of the y axis

The value of x in the expression 2x + 3 = 13 is​

Answers

Answer:

B

Step-by-step explanation:

get x by itself

2x+3=13 - subtract 3 from both sides

2x=10 - divide each side by 2

x=5

Graph the function
f(x)=3/4x+2

Answers

Answer:

i added the graph below :) hope this helps hun <3

Step-by-step explanation:



A furniture store routinely calls some customers to inquire about their buying experience in the showroom, the delivery and setup, and their overall satisfaction with

purchase. Today the calls will go to 2 homes randomly selected from last week's 5 customers. How many different groups of customers could the store call?

Answers

Answer:

10 different groups of customers could the store call

Step-by-step explanation:

Given the data in the question;

calling two (2) homes out of last week's five (5) customers;

so, there are 5 customers from last week and todays call needs to go to 2 customers randomly;

hence, Total group will be;

[tex]\left[\begin{array}{ccc}5\\2\\\end{array}\right][/tex]  = 5! / ( 2! × ( 5 - 2 )!

= 5! / (2! × 3! )

= 10

Therefore, 10 different groups of customers could the store call

Which equation Is false?

Answers

Answer: #3

Step-by-step explanation:

prove that:
[tex] |x \: y \: z \\ {x \: {y \\ {z \\ yz \: zx \: xy = (y - z) \: (z - x) \: (x - y) \: (xy + yz + zx)}^{2} }^{2} }^{2} | [/tex]

Answers

Answer:

???

Step-by-step explanation:

moris code?

Answer:

c, none of the above

Step-by-step explanation:

khan

A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z.

Answers

Answer:

Width  2in

height 3in

length 4in

Step-by-step explanation:

If he want the length to be four he has to take 2 sqares off at the end to be left with his height as 3 so vertical from top to bottom and width (the two sqaures at the end of the photo to the left) would be 2.    :)

Width of box=2in

Height of box=3in

Length of box=6in

Volume=2(3)(6)=36in³

Now

length of the box is 4in

Product of width and height=36/4=9in²

They must be of 3×3 in or 4.5×2 in

Answer these its due today

Answers

Answer:

you didn't attached it

Step-by-step explanation:

send it again

Answer:no questions here thanks for the points have a nice day

Step-by-step explanation:ACHIEVEMENTS

-4 = r divided by 20 − 5
Solve for R

Answers

Answer:

20

Step-by-step explanation:

Simplify both sides of the equation.

−4= r 20 −5 −4= 1 /20 r+−5 −4= 1 /20 r−5

Flip the equation.

1 /20 r−5=−4

Add 5 to both sides.

1 /20 r−5+5=−4+5

1 /20 r=1

Multiply both sides by 20.

20*( 1 /20 r)=(20)*(1)

r=20

Mar 01, 2:2
Nolan is going to invest $96,000 and leave it in an account for 6 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest hundredth of a
percent, would be required in order for Nolan to end
up
with $142,000?

Answers

Answer:

put it this way 10% Is 9600 and 1% is 960

Step-by-step explanation:

so if it stacks monthly you can find your answer

also if you lookup compound interest calculator it will help you will future problems

Answer: its 6.54

Step-by-step explanation: its right on delta math

Cookies are sold singly or in packages of 8 or 24. With this packaging, how many ways can you buy 48 cookies?

Answers

Answer:

12

Step-by-step explanation:

this was right got the question wrong when I first did it

In "12 ways" you can 48 cookies. A complete solution is provided below.

According to the question,

Packages having,

= 8 or 24

Firstly we choose,

8 cookies packages 6 or,24 cookies packages 2 or,One 24 cookies packages remaining three 8 cookies packages.

hence,

→ The total ways you can buy 48 cookies will be:

= [tex]6+2+1+3[/tex]

= [tex]12 \ ways[/tex]

Learn more:

https://brainly.com/question/3897030

A graduate student is performing a study on a new antidepressant. The drug is supposed to reduce depression, but the graduate student realizes that it may do nothing or even increase depression, so she decides to formulate nondirectional hypotheses and conduct a two-tailed test. First, she uses mu_general population to denote the average score on the depression inventory for the population of all depressed people, and mu_antidepressant to denote the average score on the depression inventory for the population of depressed people who take the new antidepressant. She knows that the average score for all depressed people is mu_general population = 25, with a standard deviation of sigma = 6. The graduate student identifies the null and alternative hypotheses as: H_0: mu_antidepressant = mu_general population H_1: mu_antidepressant notequalto mu_general population The sample of 36 depressed people who tried out the new antidepressant scored an average of 23.3. Since the graduate student knows the standard deviation of the scores on the depression inventory for the population of people who are depressed, she intends to use a hypothesis test that uses the z-score of the sample mean as the test statistic (also known as the z test). First, she wants to make sure all the required assumptions are satisfied. Which of the following conditions is not a required assumption for the z test?
The scores on the depression inventory follow a normal distribution or the sample size is large (at least 30).
The standard deviation of the scores on the depression inventory is the same for those who take the antidepressant and those who don't.
Each observation is independent of every other observation.
The sample size must be very large.
Members of the sample are selected randomly.
Use the Distributions tool to find the critical region for alpha = .05. The critical z-scores (the values for z-scores that separate the tails from the main body of the distribution, forming the critical regions) are_______
Calculate the z statistic, and use the Distributions tool to evaluate the null hypothesis. The z statistic is______ The z statistic_______ lie in the critical region for a two-tailed hypothesis test. Therefore, the null hypothesis is______ .

Answers

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis is:

[tex]H_o: \mu_{antidepressant}= \mu_o[/tex]

[tex]H_1: \mu_{antidepressant}\ne \mu_o[/tex]

The population mean = 25

The sample mean = 23.3

sample size n = 36

standard deviation = 6

From the following conditions given; the condition that is not required is:

[tex]\text{The sample size must be very large}[/tex]

Since the sample size is 30, we do not need the condition and it's enough for the Z test provided that the population is not normally distributed. If the population is distributed normally, then any sample size is valid:

Then, the test statistics can be computed as follows:

[tex]Z = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{23.3 - 25}{\dfrac{6}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{23.3 - 25}{\dfrac{6}{6} }[/tex]

[tex]Z = -1.7[/tex]

At the level of significance 0.05

Since the test is two-tailed, the critical value [tex]Z_{\alpha/2} = Z_{0.025} = 1.96[/tex]

Provided that the Z value is not less than the critical value;

Then, we fail to reject the null hypothesis.

We conclude that there is no enough evidence that the drug reduces depression.

15/3+30/3= how I can solve it ?

Answers

15/3=5
30/3=10

5+10=15

-5.2k+2.9 =-12k+30.1
Please show work !

Answers

answer: 3.8857

explanation:

Simplifying

-5k + 2.9 = -12k + 30.1

Reorder the terms:

2.9 + -5k = -12k + 30.1

Reorder the terms:

2.9 + -5k = 30.1 + -12k

Solving

2.9 + -5k = 30.1 + -12k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '12k' to each side of the equation.

2.9 + -5k + 12k = 30.1 + -12k + 12k

Combine like terms: -5k + 12k = 7k

2.9 + 7k = 30.1 + -12k + 12k

Combine like terms: -12k + 12k = 0

2.9 + 7k = 30.1 + 0

2.9 + 7k = 30.1

Add '-2.9' to each side of the equation.

2.9 + -2.9 + 7k = 30.1 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0

0.0 + 7k = 30.1 + -2.9

7k = 30.1 + -2.9

Combine like terms: 30.1 + -2.9 = 27.2

7k = 27.2

Divide each side by '7'.

k = 3.885714286

Simplifying

k = 3.885714286

hope this helped;))))

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