calculate the integral by interchanging the order of integration. 2 0 1 0 (x 4ey − 5) dx dy

Answer:

Three hundred fifty-five

Answer: 10.5

Step-by-step explanation:

20+25x=282.50

Subtract 20 on both sides

262.50

Divide each side by 25

You get 10.5

The length of QJ is 4√20 units if the QJ = 4×PQ after using the intersecting chords theorem.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

By intersecting chords theorem:

QM×QL = QJ×PQ

10×8 = QJ(QJ/4)

4×80 = QJ²

QJ = 4√20 units

Thus, the length of QJ is 4√20 units if the QJ = 4×PQ after using the intersecting chords theorem.

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This relationship is a function because the plant body can be of only one particular height at a time.

A function can be defined as a relationship between a set of inputs having only one output each. In other words, a function is basically a relationship between inputs and outputs; where each input is related to only one output at a time. Functions are said to occur when the recorded value of x is varied each time. Since we know that the height of the plant (the x-value) varies by each day, Therefore it is a function.

thus we can conclude that the correct option for the relationship between the height of the plant and the number of days is option D, which tells that this relationship is a function because the plant body can only be of one particular height at a time.

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Answer:

r² = (2 - (-1))² + (1 - 4)² = 3² + (-3)² = 9 + 9 = 18

(x + 1)² + (y - 4)² = 18

The general form of the equation of the circle is `(x − h)² + (y − k)² = r²`, where the center of the circle is at `(h, k)` and the radius of the circle is `r`.

Given center: `(h, k) = (-1, 4)`Given solution point: `(x, y) = (2, 1)`Let the radius be `r`.

Then, using the distance formula, we can calculate the radius `r`.Distance between center and solution point is `r`i.e. `(x − h)² + (y − k)² = r²

Plugging in the values, we get:`(2 − (-1))² + (1 − 4)² = r²`

Solving for `r`, we get:`3² + (-3)² = r²`

⇒ 18 = r²

⇒ r = ±sqrt(18)`

The center of the circle is `(h, k) = (-1, 4)` and radius of the circle is `r = ±sqrt(18)`.

Hence, the equation of the circle in the general form is`(x − (-1))² + (y − 4)² = (±sqrt(18))²`

On simplifying, we get:`(x + 1)² + (y − 4)² = 18`Therefore, the required equation of the circle in the general form is `(x + 1)² + (y − 4)² = 18`.

Thus, the equation of the circle in the general form is `(x + 1)² + (y − 4)² = 18`.

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Answer:

h(4) = -1 ;   h(-5) = 1        h(0) = -9

Step-by-step explanation:

a)    h(x) = |-2x| - 9       Substitute x = 4

       h(4) = | -2 · 4| - 9

       h(x) = | -8| - 9

       h(4) = 8 - 9

       h(4) = -1

b)  h(x) = |-2x| - 9            Substitute x = -5

    h(-5) = |-2 · -5| - 9

    h(-5) = |-10| - 9

     h(-5) = 10 - 9

      h(-5) = 1

c)   h(x) = |-2x| - 9             Substitute x = 0

     h(0) = |-2 · 0| - 9

     h(0) = |0| - 9

     h(0) = 0 - 9

      h(0) = -9

The theorem states that if a system of linear equations, represented by the matrix equation AX = B, has a unique solution and the matrix A is nonsingular. The solution to the given system of equations is x = 2, y = -2, and z = 2.

(a) To prove the theorem, let's assume that A is nonsingular and has a unique solution for the system AX = B. We want to show that the solution is given by X = A^(-1)B.

Multiply both sides of the equation AX = B by A^(-1) to obtain:

A^(-1)(AX) = A^(-1)B

The left side simplifies to:

(I)(X) = A^(-1)B

where I represents the identity matrix.

Therefore, X = A^(-1)B, which proves the theorem.

(b) Now let's solve the given linear equation system using the theorem.

The system of equations is:

x + y + z = 2   ...(1)

x + 0 + z = 0     ...(2)

2xy + 0 = 2      ...(3)

We can represent this system in matrix form as AX = B, where:

A = [[1, 1, 1],

    [1, 0, 1],

    [2, 0, 0]]

X = [[x],

    [y],

    [z]]

B = [[2],

    [0],

    [2]]

To find X, we need to calculate A^(-1) first. Calculating the inverse of matrix A, we get:

A^(-1) = [[0, -1, 1],

          [1, -1, 0],

          [0,  1, -1]]

Now we can use the theorem and multiply A^(-1) with B:

X = A^(-1)B = [[0, -1, 1],

              [1, -1, 0],

              [0,  1, -1]] * [[2],

                               [0],

                               [2]]

Performing the matrix multiplication, we get:

X = [[0*(-2) + (-1)*0 + 1*2],

    [1*(-2) + (-1)*0 + 0*2],

    [0*(-2) + 1*0 + (-1)*2]]

Simplifying further, we obtain:

X = [[2],

    [-2],

    [2]]

Therefore, the solution to the given system of equations is x = 2, y = -2, and z = 2.

Complete Question:

The inverse of a matrix can be applied to the solution of nonhomogeneous linear equations. (a) Prove the theorem: If the system AX= B, where A shows nonsingular and has a unique solution, then the solution is given by X= A-¹B. (b) Solve the linear equation system by following the above theorem, and verify your result. x + y + z = 2 x + 0 + z = 0 2xy + 0 = 2

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Answer:

inductive

Step-by-step explanation:

Answer:

2.432 * 10⁹

Step-by-step explanation:

Given the expression;

3.8*10² × 6.4*10⁶

= (3.8*6.4)× (10²*10⁶)

= 24.32*10⁸

= 2.432* 10¹ * 10⁸

= 2.432 * 10⁹

Hence the product expressed as a scientific notation is 2.432 * 10⁹

The present age of Kevin is 6 years.

Using the provided data, we can create two equations that specify the ages of Kevin and Daniel.

Let Kevin's present age be k and Daniel's present age be d.

As per the data given:

Kevin is 3 years older than Daniel. This can be written as:

k = d + 3

Two years ago, Kevin was 4 times as old as Daniel

Two years ago, Kevin was k - 2 years old, and Daniel was d - 2 years old.

k - 2 = 4(d - 2)

Now we have two independent equations, and we can solve for our two unknowns.

Solving our first equation for d.
We get:

d = k - 3

Substituting this into our second equation, we get the equation:

k - 2 = 4((k - 3) -2)

k - 2 = 4k - 12 - 8

k - 2 = 4k - 20

4k - k = 20 - 2

3k = 18

k = 6

Therefore the answer is 6 years.

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When x = 2, f(g(x)) is approximately equal to 187/9.

To solve for f(g(x)) when x = 2, we need to substitute the value of x into the function g(x) and then substitute the result into the function f(x). Let's calculate it step by step:

Step 1: Calculate g(x) when x = 2:

g(x) = x + 4/3

g(2) = 2 + 4/3

g(2) = 2 + 4/3

g(2) = 10/3

Step 2: Substitute the result from step 1 into f(x):

f(x) =\(x^2\) + 2x + 3

f(g(x)) = f(10/3)

f(g(2)) = f(10/3)

Step 3: Calculate f(g(2)):

f(10/3) = (10/3\()^2\) + 2(10/3) + 3

f(10/3) = 100/9 + 20/3 + 3

f(10/3) = 100/9 + 60/9 + 27/9

f(10/3) = 187/9

Therefore, when x = 2, f(g(x)) is approximately equal to 187/9.

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Answer:

I can help if you like actually finished the full question.

Step-by-step explanation:

2(16) + 10 = 42

32 +  10 = 42

if this is a true or false question than this would be true.

Answer:

10

Step-by-step explanation:

Sqrt((-8)^2+((-2)-4)^2)

Answer:

B and C

Step-by-step explanation:

Answer: what am i supposed to choose from?

Step-by-step explanation:

Answer:

x = - 4

Step-by-step explanation:

y = -x - 6

2x - 3y = -2

Insert the first equation y = -x-6 into the second 2x - 3y = -2 .

2x - 3 (-x-6) = -2

2x +3x + 18 = -2

5x = -2 - 18

5x = - 20

x = - 20/5

x = - 4

Answer:

\(x = 22.5\)

Explanation:

Given Sides:

-----------------------------

using all these sides, create similarities equation:

\(\frac{HB}{HD} = \frac{HM}{HT}\)

\(\frac{6}{21} = \frac{9}{9+x}\)

\(6(9+x) = 9(21)\)

\(54 + 6x = 189\)

\(6x = 189 - 54\)

\(6x = 135\)

\(x = \frac{135}{6}\)

\(x = 22.5\)

I do not know how to solve this problem sorry see ypu later mabye

Answer:

where is the equal to sign????

The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.

The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.

This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.

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The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Using the precise definition of a limit, we prove that the limit of (3x + 5) as x approaches 10 is equal to 35.

To prove the limit using the precise definition, we need to show that for every ε > 0, there exists a δ > 0 such that if 0 < |x - 10| < δ, then |(3x + 5) - 35| < ε.

Let's begin the proof. Given ε > 0, we need to find a corresponding δ > 0. Notice that |(3x + 5) - 35| can be simplified as |3x - 30|. We want to bound this expression so that it is less than ε.

Let's choose δ = ε/3. Now, suppose 0 < |x - 10| < δ. We can manipulate this inequality as follows:

|x - 10| < ε/3

3|x - 10| < ε

Since |3x - 30| = 3|x - 10|, we have:

|3x - 30| < ε

This shows that for any ε > 0, we can find a δ > 0 such that if 0 < |x - 10| < δ, then |(3x + 5) - 35| < ε.

Therefore, by the definition of a limit, we have proved that the limit of (3x + 5) as x approaches 10 is equal to 35.

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Answer:

just don't answer that

Step-by-step explanation:

cause I don't know what is the answer

Step-by-step explanation:

Horizontal asymptote is the same and vertical asymptote at x = 6 (B).

Answer:

1 Decena -------> 10 Unidades. RESPUESTA: 100 Decenas equivalen a 1000 Unidades.

Answer:sdrty

Step-by-step explanation:gtrf

Answer:

b. Formal

Step-by-step explanation:

Colloquial is a more casual style of writing, which this text doesn't include.

To find the equilibrium price and quantity, we need to set the quantity supplied equal to the quantity demanded and solve for the price.

Given:
Q = 200 + 3P (quantity supplied)
Qd = 400 - P (quantity demanded)

Step 1: Set Q = Qd
200 + 3P = 400 - P

Step 2: Solve for P
4P = 200
P = 50

Step 3: Substitute P = 50 back into the equations to find the equilibrium quantity.
Q = 200 + 3(50)
Q = 350

Therefore, the equilibrium price is $50 and the equilibrium quantity is 350.

Now, let's consider the case with a tax on buyers.

Given:
Q° = 400 - (2P + T) (quantity demanded after tax)

Step 1: Set Q° = Q (quantity demanded after tax = quantity supplied)
400 - (2P + T) = 200 + 3P

Step 2: Solve for P
5P + T = 200

Step 3: Substitute T = 20 into the equation and solve for P
5P + 20 = 200
5P = 180
P = 36

Step 4: Substitute P = 36 back into the equations to find the new equilibrium quantity.
Q = 200 + 3(36)
Q = 308

Therefore, the new equilibrium price is $36 and the new equilibrium quantity is 308.

The original equilibrium price and quantity are $50 and 350 respectively. After the tax is placed on buyers, the new equilibrium price and quantity become $36 and 308 respectively.

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In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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A graph can help us find solutions to two-variable equations through the point of intersection.

The appropriate steps will be:

Draw a graph for each side, or component, of the equation and check to see where the curves intersect, or are equal, to solve an equation graphically.

The answers to the equation are the x values of these places.

Plotting the graph of each equation allows us to clearly understand the solution. The point of intersection of the two lines is where the solution, which is an ordered pair that satisfies both equations, occurs on both lines.

Therefore, a graph can help us find solutions to two-variable equations through the point of intersection.

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1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Answer: 2x + 1

Step-by-step explanation:

We will simplify this expression down to it's lowest terms.

      Given:

2(x - 4) + 9

      Distribute:

2x - 8 + 9

      Combine like terms:

2x + 1