Find the volume of the solid enclosed by the paraboloids z=25(x2+y2) and z=8?25(x2+y2).

Answers

Answer 1

To find the volume of the solid enclosed by the paraboloids z=25(x^2+y^2) and z=8-25(x^2+y^2), you can use the triple integral method. In this case, the volume can be found by integrating the difference of the functions over the specified region.

Volume = ∬∬ (8 - 25(x^2 + y^2) - 25(x^2 + y^2)) dx dy

Since the problem is symmetric, you can convert this to polar coordinates:

Volume = ∬∬ (8 - 50r^2) rdrdθ

Now, find the limits of integration for r and θ by setting the two functions equal to each other:

25(x^2 + y^2) = 8 - 25(x^2 + y^2)
50(x^2 + y^2) = 8
r^2 = 8/50
r = sqrt(8/50)

For θ, the limits will be from 0 to 2π because the solid is symmetric about the z-axis.

With these limits, the volume integral becomes:

Volume = ∫(from 0 to 2π) ∫(from 0 to sqrt(8/50)) (8 - 50r^2) rdrdθ

Compute the integral to get the volume of the solid enclosed by the given paraboloids.

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Related Questions

A measure that results in drastically different ratings over time lacks _____ reliability.
a. test-retest
b. Graphic rating scale
c. paired comparison

Answers

A measure that results in drastically different ratings over time lacks test-retest reliability.

Test-retest reliability refers to the consistency of measurements taken over time. If a measure results in drastically different ratings over time, it indicates a lack of consistency and therefore, a lack of test-retest reliability. This means that the measure is not dependable or accurate in measuring what it intends to measure. For example, if a survey measuring job satisfaction is administered to the same group of employees at two different time points, and the results show a significant difference, it may be due to a lack of test-retest reliability. In this case, the survey may need to be revised or replaced with a more reliable measure.

Test-retest reliability is crucial in ensuring the accuracy and dependability of a measure. A lack of test-retest reliability can lead to inaccurate results and can undermine the validity of the measure.

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First person to get it right will get Brainly and 20 points. Good luck

First person to get it right will get Brainly and 20 points. Good luck

Answers

Answer:

16/20

Step-by-step explanation:

4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5

The answer is 16/20 I think.

find area of polygon PLEASE!!!

Answers

Step-by-step explanation:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

...

Here is what it will look like:

area = 1/2 x 120 x 10√3.

area = 60 x 10√3.

area = 600√3.

hope this helps

Please solve in EXCEL using an excel formula such as =npv
ou're buying a house that costs 300,000 with a down payment of \( 25 \% \) in cash and a 30 year mortgage for the rest at \( 2.75 \% \). What are your onthly principal + interest payments?

Answers

To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

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Find the value of each variable in the following parallelogram

Find the value of each variable in the following parallelogram

Answers

So on solving the provided question we can say that we know that all angles of  Quadrilateral is 90, 4x - 2 = 90; x = 22

what is quadrilateral?

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

we know that all angles of  Quadrilateral is 90

4x - 2 = 90

4x = 88

x = 22

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9,15,21 find the 38th term

Answers

Answer:

231

Step-by-step explanation:

The pattern is add 6. But it is more easier to use the linear function: 6x+9. Since this starts with 0, we plug in 37 for x instead of 38.

I can buy 7 cookies for $7.28. How much does one cookie cost? Setup the proportion that you need to solve, show answer below.​

Answers

Answer:

1 cookie costs $1.04

Step-by-step explanation:

7/7.28 = 1.04

Determine the open intervals on which the graph of the function is concave upward or concave downward. f(x) = x^4 - 3x^3

Answers

The open intervals on which the graph of \(f(x) = x^4 - 3x^3\) is concave upward are (-∞, 0) and (3/2, ∞), and the open interval on which the graph of f(x) is concave downward is (0, 3/2).

What is graph?

A graph is a visual representation of data, information, or functions. In mathematics, a graph typically refers to a set of points and lines or curves connecting them, which can be used to represent mathematical relationships and functions.

According to given information:

To determine the intervals where the function \(f(x) = x^4 - 3x^3\) is concave upward or concave downward, we need to find the second derivative of the function, which gives us the concavity of the function.

\(f(x) = x^4 - 3x^3\\\\f'(x) = 4x^3 - 9x^2\\\\f''(x) = 12x^2 - 18x\)

For the function f(x) to be concave upward, f''(x) > 0, and for f(x) to be concave downward, f''(x) < 0.

So, we need to solve the inequality f''(x) > 0 and f''(x) < 0:

\(f''(x) > 0:\\\\12x^2 - 18x > 0\\\\6x(2x - 3) > 0\)

The critical points are x = 0 and x = 3/2. We can test each interval:

Interval (-∞, 0):

\(f''(-1) = 12(-1)^2 - 18(-1) = 30 > 0\), so f(x) is concave upward on this interval.

Interval (0, 3/2):

\(f''(1) = 12(1)^2 - 18(1) = -6 < 0,\) so f(x) is concave downward on this interval.

Interval (3/2, ∞):

\(f''(2) = 12(2)^2 - 18(2) = 12 > 0\), so f(x) is concave upward on this interval.

Therefore, the open intervals on which the graph of \(f(x) = x^4 - 3x^3\) is concave upward are (-∞, 0) and (3/2, ∞), and the open interval on which the graph of f(x) is concave downward is (0, 3/2).

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Determine the open intervals on which the graph of the function is concave upward or concave downward.

help this is really hard for me, I need it rn
ALSO I NEED A COMPLETE SOLUTION
don't just use a calculator pls

help this is really hard for me, I need it rnALSO I NEED A COMPLETE SOLUTIONdon't just use a calculator

Answers

Answer:

So this is an inequality and can be easily solved if its opposite number is done with both the sides. There are some inequality rules which are:

1. when absolute values removed; the number in the oppostite side becomes negative and if negative then positive. And the signs are changed to its opposite sign. Like greater than to less than or vise versa.

2. When both the sides are divided or multiplied by a negative number the signs are changed.

I - 7b + 5 I ≤ 33

- 7b + 5 ≥ -33

- 7b + 5 - 5 ≥ - 33 - 5

- 7b ≥  - 38

-7b/-7 ≥ -38/-7

b ≤ 5.428

Brainliest pls if it was correct!

A scatter plot is shown on the coordinate plane.
Which two points would a line of fit go through to best fit the data?

A. (1,9) and (9,5)
B. (1,9) and (5,7)
C. (2,7) and (4,3)
D. (2,7) and (6,5)

A scatter plot is shown on the coordinate plane.Which two points would a line of fit go through to best

Answers

The line of the best fit would pass through (a) (1,9) and (9,5)

How to determine the points on the line of best fit

From the question, we have the following parameters that can be used in our computation:

The graph

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

The line of the best fit when drawn using the above properties would pass through (a) (1,9) and (9,5)

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B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees 90 90 F D Polygon A Polygon B A. It is possible to circumscribe a circle around each polygon because they are both quadrilaterals. B. It is not possible to circumscribe a circle about either polygon because they are both quadrilaterals. C. It is possible to circumscribe a circle about the parallelogram on the left only, because opposite angles must be supplementary D. It is possible to circumscribe a circle about the rectangle because its opposite angles are supplementary

B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees

Answers

Answer:

hope you can understand

B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees

What is missing from the frequency chart below
A. the tallies are missing
B. the title is missing
C. the total is missing
D. there is nothing missing

What is missing from the frequency chart below A. the tallies are missing B. the title is missing C.

Answers

The title, A
That's the number one thing that should be put on the graph, then the data and then the total

Answer:

B. The title, every chart first starts with the title, then data recording.

Step-by-step explanation:

the given equation is either linear or equivalent to a linear equation. solve the equation. (if there is no solution, enter no solution. if all real numbers are solutions, enter reals.)

Answers

The given equation has one solution which is x = 6 (which is a REAL number).

What is a solution of linear equation?

Linear Equation Solutions are the values of a variables in linear equations that give all possible solutions. Linear equations represent real-world problems by involving unknown quantities with in form with one or more variables.

Some key concepts regarding the solution of linear equation are-

Linear equation solutions are the points where the lines or planes indicating the linear equations intersect or meet. A solution set of a linear equation system is the collection of all possible solutions' values for the variables. While solving linear equations, for example, one can depict the solution of such a system of simultaneous linear equations by having drawn two linear graphs and locating their intersection point.

Now, for the given question;

The linear equation is -

4x + 9 = 33

Solving this;

4x = 33 - 9

4x = 24

x = 24/4

x = 6

Therefore, the solution of the given linear equation is (x=6), where 6 is the real number.

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The complete question is-

The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)

4x + 9 = 33

hello im ganna do fraccions what is 13\15 + 8\3 + 2\9 =

Answers

Answer:

3 34/45

Step-by-step explanation:

The common denominator of these is 45.

13/15 = 39/45

8/3 = 120/45

2/9 = 10/45

Add that up and that is 169/45

Simplify as a mixed number, and it would be 3 34/45

Answer:

169/45

Step-by-step explanation:

First lets do 13/15 + 8/3.

We can multiply 8/3 by 5 to both num and denom for a ration, with the denominator being 15: 40/15.

Then add 13/15 to 40/15 to get 53/15

Now multiply that by 3 to both num and denom to get 159/45. This is to get the least common factor with 9.

2/9 can be multiplied by 5 to both num and denom to get the least common factor with 15: 10/45

Now add 159/45 with 10/45 = 169/45

169/45 is the least it can be simplified so that is the answer.

After my salary was increased by $16\%,$ it was $\$52{,}200$. What was my salary before the increase

Answers

%, a relative figure signifying hundredths of any amount. Before the raise, I was making $45,000.

What is percentage?

A percentage that represents a tenth of a quantity. In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).

Calculating a percentage involves dividing an item by its sum and multiplying the result by 100.

Considering the query

It was $52,200 after a 16% raise in my pay.

In light of the conditions stated, come up with

\($=\frac{52200}{1+16 \%}$$=\frac{52200}{1+0.16}$$=\frac{52200}{1.16}$$=\frac{5220000}{116}$\)

= $45000

Before the raise, I was making $45,000.

Therefore, the answer is $45,000.

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A food truck vendor averages 150 tacos sold when the price per taco is $1. A study shows that the average number of tacos sold will increase by 25 tacos for every $1 that the price per taco is
lowered
Which equation models the food truck's average sales in dollars, S, in terms of the price for taco, x?
A S = 25x + 250
B
S=-25x + 250
C S = x(25x + 250)
D
S = x(-25x + 250)

Answers

S = 25x + 250 is the equation models the food truck's average sales in dollars, S, in terms of the price for taco, x.

Define equation.

Equation is a declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws. also see equation system.

Given

A food truck vendor averages 150 tacos sold when the price per taco is $1.

A study shows that the average number of tacos sold will increase by 25

tacos for every $1 that the price per taco is lowered.

The calculation needed to determine which equation best represents the food truck's average sales in dollars, s, in terms of the price per taco, x, is as follows:

S = 25x + 250

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Patios can be made by mixing cubic meters of cement, gravel, and stones in the ratio 9:4:6. How much gravel is needed to make 209 cubic meters of patio?

Answers

Answer:

44 cubic meters

Step-by-step explanation

9 + 4 + 6 = 19

9/19 of the patio will be cement

4/19 of the patio will be gravel

6/19 of the patio will be stones

Work out the amount of gravel - 4/19 * 209 = 44 cubic meters

:)

Simplify the expression using the distributive property. 16m + 4(3m – 2a)+32

Answers

Answer:

16m + 12m - 8a + 32

Step-by-step explanation:

16m + 4(3m) - 4(2a) + 32. distribute the number (4) among the numbers inside of the parenthesis

16m + 12m -8a + 32. multiply

which of the following scenarios is consistent with the expectations of the law of large numbers? (a) getting 200 threes after 600 separate rolls of a single die. (b) getting 50 twos after 600 separate rolls of a single die. (d) all of the above. (c) getting 100 sixes after 600 separate rolls of a single die. (e) none of the above.

Answers

The answer is (b) getting 50 twos after 600 separate rolls of a single die. The law of large numbers states that as the sample size increases, the sample mean approaches the population mean.

In other words, the more times you roll the die, the closer you should get to the expected value of each number on the die (which is 1/6 for a fair die). Option (a) of getting 200 threes and option (c) of getting 100 sixes are both too far away from the expected value to be consistent with the law of large numbers. Option (b) of getting 50 twos is closer to the expected value and thus consistent with the law of large numbers.

Therefore, the  law of large numbers predicts that over a large number of trials, the frequency of an event should approach its probability of occurrence. In this case, the probability of rolling a two on a fair die is 1/6, so getting 50 twos after 600 rolls is consistent with the law of large numbers.

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What is the slope-intercept form of 9x + 3y = 15?
A y= -3x + 5
B y= 3x - 5
C y= -3x - 5
D y= 3x + 5

Answers

Answer:

b) y= 3x - 5

Step-by-step explanation:

9x-15 ÷3 = 3x - 5

3y ÷ 3 = y

Amber got a raise, and her hourly wage increased from $12 per hour to
$15.50 per hour. What is the percent increase to the nearest WHOLE
percent? *

Answers

Answer:29% or 30% rounded up

Step-by-step explanation:

Write the number 0.00004 in scientific notation.

Answers

Answer:

4.0 x 10^-5

Step-by-step explanation:

Answer:

4*10^-5

Step-by-step explanation:

Start by counting the zeros to the right of the decimal if 0<x<1. Stop when you hit a digit between 1 and 9Add 1 to the number of zerosThis is the powerExpress the number as one between 1 and 9 The power is changed to a negative, if 0<x<1

0.00004 has 4 zeros. Add 1 = 5

The power on 10 becomes negative (-5)

4 is a number between 1 and 9 inclusive.

4 * 10^-5

1. Find the value of X
2. Find the measure of RSM
3. Find the measure of PTU
4. List all the angles congruent to RSM
5. List all angles congruent to PTU

1. Find the value of X2. Find the measure of RSM3. Find the measure of PTU4. List all the angles congruent

Answers

The value of X is 13 .

the measure of RSM is 99°.

the measure of PTU is 99 °.

The angles congruent to∠ RSM are ∠STP , ∠OTU and ∠NST.

The angles congruent to ∠PTU are ∠STQ , ∠RSN and ∠MST.

What are the properties of parallel lines?

When two lines do not cross at any point in a plane, they are said to be parallel. A pair of lines that never cross paths and do not have a common junction point are said to be parallel. Parallel lines are represented by the symbol "||".

Any two parallel lines can be separated by a consistent amount of perpendicular space.

Lines that run parallel to one another do not intersect. Parallel lines intersect at infinity is another way of putting it.

Pairs of angles are created when a transversal connects two parallel lines, for example:

Corresponding anglesAlternate interior anglesAlternate exterior anglesVertically opposite anglesLinear pair

Two lines are said to cross at a point in a plane when they do so, which is referred to as an intersection of lines.

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I will give brainliest
-50-c=5c-2
Show work pleasee

Answers

Answer:

- 8

Step-by-step explanation:

Step 1:

- 50 - c = 5c - 2     Equation

Step 2:

- 50 = 6c - 2    Add c on both sides

Step 3:

- 48 = 6c   Add 2 on both sides

Step 4:

- 48 ÷ 6     Divide

Answer:

c = - 8

Hope This Helps :)

Answer:

c=-8

Step-by-step explanation:

-50-c=5c-2

-c-5c=-2+50

-6c=48

c=48/-6

c=-8

hope it helps you

Find m please help me i’ve been stuck on this problem for 30 minutes!!!

Find mplease help me ive been stuck on this problem for 30 minutes!!!

Answers

6×+8=14 5×+2=7 14×7=98 ∆m=4.66

I need help with this. Please

I need help with this. Please

Answers

Answer:

Step-by-step explanation:

in place of x function place value and wallah answer

T-Shirts & More Print Shop will print any image on a mousepad for a cost of $2 per mousepad and a one-time charge of $12 to set up the mousepad design. Mousepads Plus charges $3 per mousepad and a one-time charge of $6 to set up the design. At how many mousepads will both companies cost the same?

Answers

Making the equations equal shows that both companies have the same cost for 6 mousepads.

What are equations?

Equations are mathematical statements claiming the equality of two or more mathematical expressions.

Equations are depicted by the equation symbol (=).  On the other hand, algebraic or mathematical expressions do not go with the equation symbol.

                      T-Shirts Shop   Mousepads Plus

Fixed charge         $12                   $6

Variable charge     $2                   $3

Let the number of mousepads = x

Let the total cost = y

Equations:

T-Shirts Shop (Equation 1): y = 12 + 2x

Mousepads Plus (Equation 2): y = 6 + 3x

For the two companies' costs to be the same, both equations will be equal:

12 + 2x = 6 + 3x

2x - 3x = 6 - 12

-x = -6

x = 6

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Please help! I will mark someone brainliest if they help me out with this answer:)!

Please help! I will mark someone brainliest if they help me out with this answer:)!

Answers

Answer:

10,000,000

Step-by-step explanation:

log10 x = 7

10^7 = 10,000,000

Type the correct answer in the box. Use numerals instead of words.
For this item, if the answer is not a whole number, enter it as a fraction in simplest form using / as the fraction bar.

Isolde is stacking books. The stack of books forms a rectangular prism.



Each book is the same size. Isolde knows the area of the base of one book is 22 1/2 square inches and each book is 3/4 inch thick.

The volume of a stack of 9 books is cubic inches.

Answers

The volume of a stack of 9 books is 1368.75 cubic inches.

Volume of a book stack

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

Volume = Area of base x heightVolume = (202 1/2 square inches) x (6 3/4 inches)Volume = 1368.75 cubic inches

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When we make inferences about the difference of two independent population proportions, what assumptions do we need to make? mark all that apply.

Answers

When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.

Two independent proportions tests involve comparing the proportions of two unrelated datasets.

For these two datasets to be regarded as an independent population, the following must be true or assumed to be true

The datasets must represent a random sampleEach dataset must contain at least 15 successes and failures

Hence, the above highlights are the assumptions of two independent population proportions.

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