Evaluate the triple integral xy dV where E is the solid tetrahedon with vertices (0,0,0), (9,0,0), (0,8,0), (0,0,6)

The line parallel to the line b is the line a

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

The figure

Also, we have

Angle 1 = 90 degrees

The measure of angle 1 and angle 5 are congruent

This is so because they are corresponsing angles

So, we have

Angle 5 = 90 degrees

The above implies that line a and line b are parallel lines

Read more about angles at

brainly.com/question/25716982

#SPJ1

1/8 in a decimal, divide the denominator by the numerator to get 1/8 as a decimal 1/8 is 0.125.

We divide the numerator by the denominator to convert a fraction to a decimal number. This results in a decimal value because, when dividing, we add the decimal place and then add the necessary number of zeros to finish the division.

1/8

1/2 x 1/2 x 1/2

0.5 x 0.5 x 0.5

0.125

To convert a fraction to a decimal, all you have to do is divide the numerator by the denominator. We position the number over its place value when converting a decimal to a fraction.

Just dividing the numerator by the denominator is all that is required to convert a fraction to a decimal.

Learn more about Decimals:

https://brainly.com/question/18596930

#SPJ4

A rhombus with opposite sides are parallel and equal, and opposite angles are equal looks like Diamond.

A closed two-dimensional plane figure is a rhombus. It is regarded as a peculiar parallelogram, and due to its distinctive characteristics, it acquires a distinct identity as a quadrilateral. Due to its equal length sides, a rhombus is also known as an equilateral quadrilateral. The name "rhombus" is derived from the Greek word "rhombos," which really refers to a spinning object.

Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram. A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square. To comprehend the relationship between the rhombus shape, parallelogram, and square, look at the graphic below.

Learn more about Rhombus:

https://brainly.com/question/29629002

#SPJ4

The hypergeometric distribution should be used instead of the binomial distribution. The correct option is d. Sampling does not involve replacement,

What is binomial distribution ?
The binomial distribution is a probability distribution that describes the probability of getting a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure.
The probability of getting exactly k successes in n trials with probability of success p is given by the formula:

[tex]P(k) = (n choose k) * p^k * (1 - p)^(n - k)[/tex]

where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items out of n, and is equal to:

[tex](n choose k) = n! / (k! * (n - k)!)[/tex]

where n! represents n factorial, which is the product of all positive integers up to n.

Given by the question:
The correct answer is d. sampling does not involve replacement.

Therefore, when sampling does not involve replacement, the hypergeometric distribution should be used instead of the binomial distribution.

To know more about Binomial distribution visit:
https://brainly.com/question/29137961

#SPJ1

The areas of the composite figures are listed below:

In this problem we need to determine the areas of composite figures, which are the result of adding and subtracting geometric figures, whose area formulas are listed below:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Circle

A = π · r²

Semicircle

A = 0.5π · r²

Quarter of a circle

A = 0.25π · r²

Square

A = l²

Where:

Now we proceed to determine the area of each figure:

Area 1

A = 30 · 20 - 6 · 14

A = 600 - 84

A = 516

Area 2

A = π · (8 cm)² - π · (3 cm)²

A = (64 - 9) · π cm²

A = 55π cm²

Area 3

A = (14 m)² - 4 · (5 m)²

A = 196 m² - 100 m²

A = 96 m²

Area 4

A = 0.5π · (7 m)² + 0.5 · (14 m) · (11 m)

A = 29.5π m² + 77 m²

A = (29.5π + 77) m²

Area 5

A = (7 ft) · (10 ft) + (3 ft) · (4 ft)

A = 70 ft² - 12 ft²

A = 58 ft²

Area 6

A = (28 cm)² - 4 · 0.25π · (14 cm)²

A = 784 cm² - 196π cm²

A = 588 cm²

To learn more on areas of composite figures: https://brainly.com/question/23718948

#SPJ1

The equation of the line that's vertical to the given line and passes through the point(,6) is y = (-2/3) x28/3.

To find the equation of a line vertical to a given line, we need to use the fact that the pitches of two vertical lines are negative reciprocals of each other.

Let's start by chancing the pitch of the given line. The equation of a line in pitch- intercept form is y = mx b, where m is the pitch and b is the y- intercept. We can rewrite the given line 3x- 2y = 5 in pitch- intercept form by working for y

3x- 2y = 5

- 2y = -3 x 5

y = (3/2) x-5/2

So the pitch of the given line is3/2.

The pitch of a line vertical to this line is the negative complementary of3/2, which is-2/ 3.

Now we can use the point- pitch form of the equation of a line to find the equation of the line that passes through the point(,6) and has pitch-2/ 3. The point- pitch form is

y- y1 = m( x- x1)

where( x1, y1) is the point the line passes through and m is the pitch.

Substituting in the values we know, we get

y- 6 = (-2/3)( x- 5)

Expanding the right side, we get

y- 6 = (-2/3) x10/3

Adding 6 to both sides, we get

y = (-2/3) x28/3

So the equation of the line that's vertical to the given line and passes through the point(,6) is y = (-2/3) x28/3.

To further about vertical :

https//brainly.com/question/29268451

#SPJ1

Word problems

Simultaneous equation

4b + 3n = $23.50 x2

5b + 2n = $21.50 x3

We solve this equation using the elimination method. By removing necklaces, we can find the cost of a bracelet.

8b + 6n = $47 --- eqn 1

15b + 6n = $64.5 --- eqn 2

Subtract eqn 1 from eqn 2

7b = 17.5

1b = 17.5/7

1b = $2.50

Substitute the value of bracelet into eqn 1 to find the cost of 1 necklace

8(2.5) + 6n = $47

20 + 6n = $47

6n = 47 -20

6n = 27

1n = 27/6

1n = $4.5

1b + 1n = ?

2.50 + 4.50 = $7

To learn more about simultaneous equation, visit https://brainly.com/question/16763389

#SPJ1

Answer:

-4

Step-by-step explanation:

7(-1)³ + 5(-1)² -2 = ?

-7 + 5 -2 = ?

-2 -2 = ?

? = -4

250 grams is approximately equal to 0.5511 pounds  ( rounded to four decimal places )

The conversion factor to convert grams to pounds is 0.00220462

1 gram = 0.00220462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in grams × conversion factor

Substitute the values in the equation

1 gram = 0.00220462 pounds

250 grams =  250 × 0.00220462

Multiply the numbers

= 0.5511 pounds  ( rounded to four decimal places )

Therefore, 250 grams is 0.5511 pounds

Learn more about conversion factor here

brainly.com/question/23718955

#SPJ4

Answer:

9(x + 17) ≥ -23

Step-by-step explanation:

Let's start by breaking down the sentence:

"A number": We can represent this as a variable, say "x".

"The sum of a number and 17": This is x + 17.

"Nine times the sum of a number and 17": This is 9(x + 17).

"Is at least -23": This means the expression on the left-hand side of the inequality is greater than or equal to -23.

Putting it all together, we get the inequality:

9(x + 17) ≥ -23

The two different ways to find the product of 239×64 are,

(240 - 1)×64 and 239×(60 + 4).

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, A product of 239×64.

The first way is,

239×64.

= (240 - 1)×64.

= 15360 - 64.

= 15296.

Another way to find the product of 239×64 is,

= 239×(60 + 4).

= 14340 + 956.

= 15296.

learn more about arithmetic operations here :

https://brainly.com/question/25834626

#SPJ1

The quadratic equation of [tex]x^{2}[/tex]-6x+9=0 is C) (x-2)(x+3).

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

This equation is an example of a quadratic equation, which is an equation of the form a[tex]x^{2}[/tex]+bx+c=0, where a, b, and c are real numbers, and a is not equal to 0. In this equation, a is equal to 1, b is equal to -6, and c is equal to 9. To solve this equation, we need to use the quadratic formula, which states that the solutions to the equation are x= -b ± [tex]\sqrt[1]{b^{2}-4ac }[/tex] / 2a. Therefore, the solutions to this equation are x= -(-6) ± [tex]\sqrt{(-6)^{2} -(4)(1)(9) }[/tex]) / 2(1), which simplifies to x=3 ± [tex]\sqrt{3}[/tex] /2, or x=3 ± [tex]\sqrt{9}[/tex] /2. This simplifies to x=3 ± [tex]\sqrt{3}[/tex], or x=3 ± 1. Therefore, the solutions to this equation are x=2 and x=4. The factored form of this equation is (x-2)(x+3), which is option C.

To know more about equation click-

brainly.com/question/26408808

#SPJ1

The number of pretzels in the beginning was 44 pretzels solving the equation.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Let the total number of pretzels = x

Pretzels has been spilled and lost half of the pretzels.

Remaining pretzels = x - x/2

Jane ate 14 pretzels.

Remaining pretzels = x - x/2 - 14

Her sister then ate one more than half the remaining pretzels.

Remaining pretzels = x - x/2 - 14 - [1/2 (x - x/2 - 14) + 1]

Remaining pretzels is 3.

So we get an equation,

x - x/2 - 14 - [1/2 (x - x/2 - 14) + 1] = 3

Solve for x.

x - x/2 - 14 - (x/2 - x/4 - 7 + 1) = 3

x - x/2 - x/2 + x/4 - 14 + 7 - 1 = 3

x/4 - 7 - 1 = 3

x/4 - 8 = 3

x/4 = 11

x = 44

Hence the total number of pretzels was 44.

Learn more about Solving Equations here :

https://brainly.com/question/18067015

#SPJ9

Your question is incomplete. The complete question is as follows.

On a car trip, Jane ate some pretzels. After spilling and losing half of the pretzels, she ate 14. Her sister then ate one more than half the remaining pretzels, after which there was 3 pretzels.

How many pretzels was there?

Answer:

4

Step-by-step explanation:

I think and I hope I got it right sorry if I didnt

The answer I think is right is a=24

a/6=?

24/6=4

The area of the carpet is [tex]2 7/20[/tex] square meters.

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

To find the area of the carpet, we need to multiply its length by its width.

The mixed numbers must first be transformed into improper fractions:

Length: 21/4 = 9/4

Width: 11/5 = 6/5

Then we can multiply:

Area = length x width

Area = (9/4) x (6/5)

Area = 54/20 or 27/20 square meters

Therefore, the area of the carpet is 27/20 square meters.

for such more question on area

https://brainly.com/question/25092270

#SPJ4

To convert 1km into other measurements: 1) 1000 meter, 2) 3280.84, 3) 1e+6 millimeter, 4) 100000 centimeter, 5) 39370.1 inch, 6) 1093.61 yard1 km, 7) 0.621371 mile.

It is necessary to measure these quantities using units of measurement. Sometimes the units of measurement chosen don't match the standards needed for a specific procedure or application, as well as the measurement preference and ease of use.

It's essential to convert these units in a way that enables proper comprehension and use. When converting between different units in the metric system, a decimal point must typically be moved. If you remember what the prefixes mean, you can convert between different units of measurement within the metric system fairly quickly by simply multiplying or dividing the number by the prefix's value.

To learn more about kilometer: https://brainly.com/question/22247604

#SPJ4

The solution for the system of equations is Ax = b as the matrix is invertible (or non-singular) if and only if its determinant is not zero.

To solve a system of equations, we can use matrix algebra. We can write the system of equations in matrix form as follows:

Ax = b

where A is the matrix of coefficients, x is the vector of unknowns (the concentrations), and b is the vector of right-hand sides (the mass inputs).

To solve for x, we can multiply both sides by the inverse of A:

x = [tex]A^{-1}b[/tex]

where [tex]A^{-1}[/tex] is the inverse of A.

However, not all matrices have inverses. A matrix is invertible (or non-singular) if and only if its determinant is not zero. So, before we can solve for x, we need to check if A is invertible by calculating its determinant.

Learn more about the invertible matrix at

https://brainly.com/question/30754589

#SPJ4

Answer:

The distance around the window in inches is 80 inches. This is because the circumference of a semi-circle is equal to π times the diameter (C = πd). So, 40 x π = 80 inches.

The image point of (-7, 5) after the translation is (-2, 9).

What is the translation in the coordinate system?

A translation in the Cartesian plane can be described by a rule that indicates how to move each point of a figure to its image under the translation. The rule is usually given as a pair of numbers (a, b), where a is the horizontal distance to move each point (positive to the right, negative to the left), and b is the vertical distance to move each point

To find the image point of the point (-7, 5) after a translation right 5 units and up 4 units, we need to add 5 to the x-coordinate and add 4 to the y-coordinate.

The new x-coordinate will be -7 + 5 = -2, since we're moving the point to the right 5 units.

The new y-coordinate will be 5 + 4 = 9, since we're moving the point up 4 units.

Hence, the image point of (-7, 5) after the translation is (-2, 9).

To learn more about translation in coordinate system, Visit

https://brainly.com/question/18493427

#SPJ1

Answer:

Step-by-step explanation:

To solve for x in the equation:

x - 2/5 = 1/5

We can start by isolating x on one side of the equation. We can do this by adding 2/5 to both sides:

x - 2/5 + 2/5 = 1/5 + 2/5

Simplifying, we get:

x = 3/5

Therefore, the solution is:

x = 3/5

1) Jay buys a house for $40,000 less than he is willing to pay. He bought a house from a seller who received $2,000 more than he was willing to sell.

4) Kevin wanted to spend $50 on a dishwasher and bought it for $45 from a manufacturer hoping to get $40.

Economic Surplus:

Economic surplus, also known in mainstream economics as general welfare or general public welfare or Marshall's surplus (after Alfred Marshall), is one of two related quantities. Pay.

Producer surplus or producer surplus is the amount a producer receives by selling at a market price higher than the lowest price they are willing to sell. This roughly equals profit margin (because producers are usually unwilling to sell at a loss and are generally uninterested in selling at a break-even price).

Total economic surplus = supplier surplus + consumer surplus

On scenario 1, total economic surplus = $40,000 + $2,000 = $42,000

On scenario 2, total economic surplus = $2.25 + $3 = $5.25

On scenario 3, total economic surplus = $0

On scenario 4, total economic surplus = $5 + $5 = $10

Complete Question:

Select the two situations with the highest total surplus. correct answer(s) jay buys a house for $40,000 less than he was willing to pay. he bought his home from sellers who received $2,000 more than they were willing to sell for. bonnie buys flowers for $2.25 less than she was willing to pay. she bought them from a seller would have been willing to receive $3 less from the sale. don wanted to buy a scooter for no more than $5, but was only able to find a producer who would sell for $15. kevin wanted to spend $50 on a dishwasher and bought one at $45 from a producer who was hoping to receive $40.

Learn more about Spend:

https://brainly.com/question/23283044

#SPJ4

Answer:

required perimeter is 12.57mm

The length of arc CYT is solved to get

= 40.12

Length of arc CYT is calculated using the formula for length of arc

= theta / 360 * 2πR

From the problem, we have that

theta = 360 - 128 = 230

R = radius = CA = 10

π = 3.14sds

plugging in the values we have

= 230 / 360 * 2 * 3.14 * 10

= 23/36 * 20 * 3.14

= 40.1222

= 40.12 (to the nearest tenth)

Learn more about Length of arc at:

https://brainly.com/question/8020286

#SPJ1

Answer:

55%

Step-by-step explanation:

To get 55 I just divided 33/60 and multiplied it buy 100

Using a calculator, we find that b ≈ 3.9 inches (rounded to the nearest 10th of an inch).

What is the Law of Sines?

The Law of Sines, also known as the sine rule, is a trigonometric formula used to find unknown sides or angles in a triangle.

To solve this problem, we can use the Law of Sines, which states that for any triangle ABC,

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the side lengths opposite the corresponding angles A, B, and C, respectively.

Using this formula, we can set up the following proportion:

b/sin(B) = a/sin(A)

Plugging in the values we know, we get:

b/sin(36°) = 6/sin(121°)

Solving for b, we get:

b = (6 sin(36°))/sin(121°)

Using a calculator, we find that b ≈ 3.9 inches (rounded to the nearest 10th of an inch).

To learn more about Law of Sines, visit

https://brainly.com/question/27174058

#SPJ1

The value of the expression is 1/c - 5

Note that algebraic expressions are described as expressions that are composed of terms, variables, coefficients, factors and constants.

From the information given, we have that;

c/ c² - 7c + 10 - (2/ c² - 7c + 10)

Find the lowest common factors

c - 2/  c² - 7c + 10

solve the quadratic equation

c - 2/ c² - 5c - 2c + 10

Factor the expression, we get;

c- 2/c(c - 5) - 2(c - 5)

Factor the terms

c-2/(c-2)(c-5)

Divide the values

1/c - 5

Learn about algebraic expressions at; https://brainly.com/question/4344214

#SPJ1

C) The ordered pair that represents the initial value of the function is of (0,3840), meaning that the graph of the function crosses the y-axis at the value of y = 3840.

D) The rate of change of the equation is of -128, meaning that when x increases by one, y is decreased by 128.

The following is the definition of a linear function's slope and intercept:

y = mx + b.

In which:

m is the slope, representing the rate of change, that is, by how much y changes when x is increased by one.

The value of y at x=0 is represented by the intercept, b. Hence the ordered pair is of (0,b).

The function is defined as follows for this problem:

y = -128x + 3840.

The slope and intercept are therefore given as follow:

m = -128, b = 3840.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

The required value of 112 kilograms into pounds using standard conversion relation is equal to 112 kilograms = ( 246. 92 ) pounds ( round up to two decimal places )

One kilograms is equal to 2.20462 pounds.

We need to convert 112 kilograms into pounds :

This implies :

⇒ 112 kilograms = ( 112 × 2.20462 ) pounds

⇒ 112 kilograms = ( 246.91744 ) pounds

⇒ 112 kilograms = ( 246. 92 ) pounds ( round up to two decimal places )

Therefore, the converting value of kilogram to pounds is given by :

112 kilograms = ( 246. 92 ) pounds ( round up to two decimal places ) .

Learn more about pounds here

brainly.com/question/29181271

#SPJ4