How do you find the volume of the region bounded by y=√x, and the lines y=2 andx=0 and it is revolved about the line y=2?

Answers

Answer 1

The volume of the region bounded by y=√x, and the lines y=2 and x=0 when it is revolved about the line y=2 is 2π.

To find the volume of the region bounded by y=√x, and the lines y=2 and x=0 when it is revolved about the line y=2, use the formula for the volume of a solid of revolution: V = π ∫[a,b] (f(x))2 dx.

Here, the lower bound, a, is 0, the upper bound, b, is 2, and f(x) = √x.



So, V = π ∫[0,2] (√x)2 dx = π ∫[0,2] x dx = π [x2/2]02 = (π/2) × 4 = 2π.



Therefore, the volume of the region bounded by y=√x, and the lines y=2 and x=0 when it is revolved about the line y=2 is 2π.

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Related Questions

what is the result when 8x^3+18x^2+11x+2 is divided by 2x+1

Answers


The result is 4x^2+7x+2.

find the missing side length of a square given the area of the square

find the missing side length of a square given the area of the square

Answers

The area of a square is given by the following formula:

\(A=s^2\)

To find the sidelength of the square, solve the equation for s:

\(s=\sqrt[]{A}\)

Replace the given value in the equation to find the sidelength:

\(\begin{gathered} s=\sqrt[]{\frac{16}{49}} \\ s=\frac{4}{7} \end{gathered}\)

The sidelength is 4/7cm.

leila runs 4 miles in 30 minutes. at the same rate, how many miles would she run in 48 minutes?

Answers

Answer:

6.4 miles

Step-by-step explanation:

We can use a ratio to solve

4 miles           x miles

------------- = ----------------

30 minutes       48 minutes

Using cross products

4 * 48 = 30x

192 = 30x

Divide each side by 30

192/30 = x

6.4 miles =x

Answer:

6.4

Step-by-step explanation:

Use a proportion.

4/30 = x/48

Reduce.

2/15 = x/48

Cross multiply.

15x = 2 * 48

15x = 96

x = 6.4

Answer: 6.4 miles


. Last year Abebe's salary was Birr 500. If he gets a 10% increment this year,
what is his present salary.​

Answers

Answer:

Present salary is 550

Step-by-step explanation:

Here, we want to calculate the present salary seeing that it was 10% added to what we had last year

mathematically, that will be;

10/100 * 500 = 50

Adding this to 500, his present salary is 50 + 500 = 550

Answer:

550 is the answer

Step-by-step explanation:

I got it in the test

What do you subtract from -3 td get positive 4?*

Answers

Answer:

7

Step-by-step explanation:

O (1,2) Question 9 (Essay Worth 10 points) (04.01. 04.02 HC) Max practices the piano and the guitar for a total of 150 minutes every day. He practices the guitar for 80 minutes longer than he practices the piano. Part A: Write a pair of linear equations to show the relationship between the number of minutes Max practices the guitar (x) and the number of minutes he practices the piano (y) every day. (5 points) Part B: How much time does Max spend practicing the piano every day? Show your work. (3 points) Part C: Is it possible for Max to have spent 125 minutes practicing the guitar if he practices for a total of exactly 150 minutes and practices the guitar for 80 minutes longer than he practices the piano? Explain your reasoning. (2 points) LED Source VC B I U S x x x E = 3 = Styles Normal ? Part A y = x + 80 uestion Question 1 (Answered) O

Answers

Let

x -----> the number of minutes He practices the guitar

y ----> the number of minutes he practices the piano

we know that

x+y=150 ------> equation A

x=y+80 -----> equation B

solve the system of equations

substitute equation B in equation A

(y+80)+y=150

solve for y

combine like terms

2y+80=150

2y=150-80

2y=70

y=35 minutes

Find the value of x

x=y+80

x=35+80

x=115 minutes

therefore

Part B: How much time does Max spend practicing the piano every day? -----> 35 minutes

Part C: Is it possible for Max to have spent 125 minutes practicing the guitar if he practices for a total of exactly 150 minutes and practices the guitar for 80 minutes longer than he practices the piano?

Is not possible, because the number of minutes He practices the guitar is 115 minutes

Solve each equation.
1. r-38= 9 _____
2. h+17=40 _____
3. n + 75= 155 ____
4. q - 17= 18 _____

Answers

Answer:

1. r - 38 = 9

=> r = 9 + 38

=> r = 47

2. h + 17 = 40

=> h = 40 - 17

=> h = 23

3. n + 75 = 155

=> n = 155 - 75

=> n = 80

4. q - 17 = 18

=> q = 18 + 17

=> q = 35

Step-by-step explanation:

Hoped this helped.

A boat can travel 33 kilometers on 33 liters of gasoline. How much gasoline will it need to go 100 kilometers?

Answers

Answer:

100

Step-by-step explanation:

100  liters to kilometers i think hope this helps

Hi can you please help me

Hi can you please help me

Answers

The probability that student chosen at random is 16 years is 0.28.

How to find the probability of the student chosen?

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

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What is 1,000,000 x 1,000,000

Will give brainliest.

Answers

Answer:  1e+12

Step-by-step explanation:

Answer:

\(1000000 \times 1000000 \\ = 1000000000000\)

It's 1 Million *1 Million

=1 Trillion (According to USA)

Ray has tea. He has 2.671 liters of tea he pours 0.47 liters in a glass. how many liters did he pour? Solve.

Answers

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

What does the term "mathematical operations" mean?

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

What are the five operations in mathematics?

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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A recipe to make 48 cookies cost for 3 cups of flour how are you do not want to make 48 cookies but only 24 cookies which fraction shows how much flour to use a 2 cups b 1 2/3 cups see one and 1/3 1 1/2 cups three 2 2/3 cups

Answers

aince 24 cookies is exactly half of 48 cookies you will have to half the cups of flour and since half of 3 cups is 1 1/2 cups the answer is 1 1/2 cups of flour

1/4 divided by 3 I’m behind and I really just want to get this over with :) plus math is my least favorite subject thanks to my teacher so yeah plz help:)

Answers

Answer:

XD   \(\frac{1}{12}\) is the answer.

Step-by-step explanation:

So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.

Hopes This Helps

the number of bacteria in a culture grows from 38 to 171 in 49 minutes. how many bacteria will be present in 2 hours?

Answers

The growth rate of bacteria in a culture is not specified, so assuming it is exponential, the number of bacteria present after 2 hours will be approximately 1.8 x 10^8.

To solve this problem, we can use the exponential growth formula: N(t) = N0 * e^(rt), where N(t) is the number of bacteria at time t, N0 is the initial number of bacteria, r is the growth rate, and e is the base of the natural logarithm. First, we need to find the growth rate, r. We can use the initial and final number of bacteria and the time interval to do this.

N(t) = N0 * e^(rt)

171 = 38 * e^(49r)

ln(171/38) = 49r

r = ln(171/38)/49

r ≈ 0.069 Now we can use the formula to find N(120) (i.e., the number of bacteria after 2 hours, or 120 minutes):

N(120) = 38 * e^(0.069 * 120)

N(120) ≈ 1.8 x 10^8 Therefore, approximately 1.8 x 10^8 bacteria will be present in the culture after 2 hours.

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Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Answers

Answer:

2 * 2 * 2 * 2

2^4

Step-by-step explanation:

16= 4 * 4 = (2 * 2) * (2* 2)

add -3.8 + 9.8 + 5.7

Answers

Answer:

- 0.3

Step-by-step explanation:

If MK = 9ft find the length of MKL to the nearest tenth

If MK = 9ft find the length of MKL to the nearest tenth

Answers

Check the picture below.

we know the diameter MK is 9 units, so the radius must be half that, or 4.5.

\(\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4.5\\ \theta =218 \end{cases}\implies \begin{array}{llll} s=\cfrac{(218)\pi (4.5)}{180}\implies s=5.45\pi \\\\\\ s\approx 17.1 \end{array}\)

If MK = 9ft find the length of MKL to the nearest tenth

If 10 healthy adults who received the influenza vaccination are randomly selected, the mean and standard deviation for the number protected from laboratory-confirmed influenza are 7.6 people and 1.5 people respectively

Answers

If 10 healthy adults who received the influenza vaccination are randomly selected, on average, 7.6 of them will be protected from laboratory-confirmed influenza. The actual number protected might vary by about 1.5 people from the average value.

If 10 healthy adults who received the influenza vaccination are randomly selected, the mean and standard deviation for the number protected from laboratory-confirmed influenza are 7.6 people and 1.5 people, respectively.

The mean, also known as the average, represents the central tendency of a set of values. In this case, it tells us that, on average, out of the 10 adults who received the influenza vaccination, 7.6 of them were protected from laboratory-confirmed influenza.

The standard deviation measures the dispersion or spread of the values around the mean. In this case, the standard deviation of 1.5 people tells us that the number of adults protected from laboratory-confirmed influenza varied by about 1.5 people from the average value of 7.6.

To better understand this, let's consider some examples: If we have a group of 10 adults, it is possible that all of them are protected from laboratory-confirmed influenza. Alternatively, some adults might not be protected, while others might be protected. The standard deviation of 1.5 tells us how much the actual number of adults protected might vary from the average value of 7.6.

In summary, if 10 healthy adults who received the influenza vaccination are randomly selected, on average, 7.6 of them will be protected from laboratory-confirmed influenza. The actual number protected might vary by about 1.5 people from the average value.

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Help? I need the right answers.

Help? I need the right answers.

Answers

Answer:

Horizontal line of symmetry

Vertical line of symmetry

Rotational symmetry

Diagonal line of symmetry  

Step-by-step explanation:

A study is designed to test the hypotheses h0: m $ 26 versus ha: m , 26. a random sample of 50 units was selected from a specified population, and the measurements were summarized to y 5 25.9 and s 5 7.6. a. with a 5 .05, is there substantial evidence that the population mean is less than 26

Answers

The p-value for a t-score of -0.92 is approximately 0.18 and since it is greater than the significant level, the null hypothesis is rejected.

The first step in testing this hypothesis is to calculate the test statistic, which in this case is a t-score. The formula for the t-score is (y - mu) / (s / sqrt(n)), where y is the sample mean, mu is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

In this case, the sample mean is 25.9, the hypothesized population mean is 26, the sample standard deviation is 7.6, and the sample size is 50. Plugging these values into the formula, we get a t-score of -0.92.

Next, we need to find the p-value associated with this t-score. We can use a t-table or a calculator to do this. Using a t-table with 49 degrees of freedom (since we have a sample size of 50 and one parameter estimated from the sample), we find that the p-value for a t-score of -0.92 is approximately 0.18.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. In other words, we do not have substantial evidence to conclude that the population mean is less than 26. However, it is important to note that the sample mean is slightly below the hypothesized population mean, and the p-value is relatively close to the significance level. Therefore, it may be worthwhile to conduct additional studies with larger sample sizes or different populations to further investigate this question.

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Select the correct figures.
Choose the solids with approximately equal volumes.

Answers

Uhhh can you send a picture so I can help

Answer:

Step-by-step explanation:

Select the correct figures.Choose the solids with approximately equal volumes.

4.) Determine a range for the missing side of the triangle below.
25 Points

4.) Determine a range for the missing side of the triangle below.25 Points

Answers

The missing side of the triangle is of the range

2 to 8

How do triangles work?

The triangle is a polygon with three angles, as its name suggests. the three of its line segments are connected end to end.

As a result, we may conclude that a triangle is a polygon because it has three sides, three angles, and three vertices. Additionally, the sum of any triangle's three angles is 180 degrees.

The sides of triangles are such that no side is less than the difference of two sides

Also, no side is greater than the sum of the two sides

hence the range, let the third side be x

x < 5 + 3 = 8

x > 5 - 3 = 2

2 to 8

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Write the name for the decimal value of the point of m ob the number line

Answers

The name for the decimal value of the point "m" on the number line is determined by the position of the point relative to the nearest whole numbers.

On a number line, each point represents a specific value. The name for a decimal value depends on its position relative to the nearest whole numbers. If the point "m" falls between two whole numbers, it is referred to as a decimal value.

For example, if "m" falls between 3 and 4 on the number line, its decimal value would be represented as 3.m or 3.m0, where "m" represents the specific decimal digit. The decimal value can be determined by measuring the distance between "m" and the nearest whole numbers and expressing it as a fraction or a decimal digit.

If "m" falls exactly on a whole number, then it is not considered a decimal value. For instance, if "m" coincides with point 5 on the number line, it is simply referred to as the whole number 5, without any decimal component. However, if "m" falls between two whole numbers, it signifies a specific decimal value determined by its position on the number line.

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The half life in a healthy adult is 4. 8 hours Jeremiah drinks 18 ounces of caffeinated coffee in the morning. How long will it take for only 60% of the caffeine to remain in his body

Answers

Answer:59.566

Step-by-step explanation:

It takes 405 bricks to build 1 wall of a room. If there are 5 rooms (with 4 walls each), how many bricks will be needed to build all the walls?

Answers

Answer:

Bricks for 1 wall= 405

If there are 5 rooms with 4 walls,

Walls= 5 x 4= 20

Bricks= 405 x 20

= 8100

Mark me the brainliest pleeeeeaseee :)

8,100
Multiply the number of bricks by the number of walls and then by the number of rooms

Which statistical measurement informs a CTRS about how well the assessment results compare to what is being measured?A.Equivalent-forms reliabilityB.Criterion-related validityC.Test-retest reliabilityD.Construct validity

Answers

The statistical measurement that informs a CTRS about how well the assessment results compare to what is being measured is Construct validity.

Construct validity assesses how well the assessment measures the intended construct or trait, and compares the results to other tests or measures of the same construct to determine how accurate and reliable the assessment is.

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Which expression is equivalent to 16+2x36

Answers

Answer:

36 x 2 + 16?

Step-by-step explanation:

The expression is equivalent to 16+2x36 would be; 2( 8 + 36)

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Noted that Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given an equation as;

16+2 x 36

Take factor out 2.

2( 8 + 36)

This could be an equivalent expression .

Solving both equations gives the same result.

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What is the difference between −148 and 27?

−121

121

−175

175

Answers

Difference of -148 and 27 is -175.

Correct option is C.

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-).

It is used to find difference of numbers.

Given numbers,

-148 and 27

Difference of numbers

= -148 - 27

= -175

Hence -175 is difference of the numbers -148 and 27.

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Answer:-175

Step-by-step explanation:

If the circumference of a circle is 88 cm find its area

Answers

I hope I can help you:)
If the circumference of a circle is 88 cm find its area

Find the difference of the following polynomials. Arrange the terms in descending powers of the variable.
Subtract-4+38² from 7a-a².
O-4a2+7a+4
O4a2+7a+4
O-4a2-7a+4
O-4a2-7a-4

Answers

Answer:

-4a² + 7a + 4

Step-by-step explanation:

Subtract -4 + 3a² from 7a - a².

(7a - a²) - (-4 + 3a²) =

= 7a - a² + 4 - 3a²

= -4a² + 7a + 4

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