check all the restictions on the domain of gOh

The equation of the circle graphed in this problem is:

(x - 5)² + y² = 16.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

For the circle graphed, we have that:

Hence the equation of the circle graphed is:

(x - 5)² + y² = 16.

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Answer:

Step-by-step explanation:

2x-y=2 is in standard form

(3,4) is a point on the line

y=mx+b is slope-intercept form, where m is the slope and b is the y-intercept

y=2x-2 is in slope-intercept form

y-y1=m(x-x1) is point-slope form, where m is the slope and (x1,y1) is a point on the line

y-4=2(x-3) is in point-slope form

A state space representation for the system can be obtained using the Partial Fraction Expansion (PFE) method. A state feedback controller can be designed to achieve 20.79% overshoot and a settling time of 4 seconds, with the third closed loop pole at s = -6. The range of the third closed loop pole should be chosen to approximate the system's response to that of a second-order system. The closed-loop transfer function of the system can be determined. The steady-state error due to a unit step input can be calculated.

(a) To obtain a state space representation using PFE, we express the open-loop transfer function G(s) in partial fraction form, and then determine the matrices A, B, C, and D for the state space representation.

(b) To design a state feedback controller for 20.79% overshoot and a settling time of 4 seconds, we can use pole placement techniques. By placing the third closed-loop pole at s = -6, we can calculate the desired feedback gain matrix K to achieve the desired response.

(c) The range of the third closed-loop pole can be determined by analyzing the desired system response characteristics. Generally, for a second-order system approximation, the damping ratio and natural frequency are crucial. By choosing appropriate values for the third closed-loop pole, we can approximate the system response to that of a second-order system.

(d) The closed-loop transfer function of the system can be obtained by combining the open-loop transfer function G(s) with the feedback controller transfer function.

(e) The steady-state error due to a unit step input can be calculated using the final value theorem. By evaluating the limit of the closed-loop transfer function as s approaches zero, the steady-state error can be determined.

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The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

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       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer:

-0.0555 repeating

Step-by-step explanation:

Hey there!

4/3 ÷ -24

= 4/3 ÷ -24/1

= 4/3 ÷ 1/-24

= 4(1) / 3(-24)

= 4 / -72

= 4 ÷ 4 / -72 ÷ 4

= - 1 / 18

≈ -0.055556

Therefore, your answer is: -1/18

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Simply divide 11.5 by 8

8 goes into 11 1 time with 3 left over.

8 goes into 35 4 times with 3 left over.

8 goes into 30 3 times with 6 left over.

8 goes into 60 7 times with 4 left over.

8 goes into 40 5 times.

1.4375

The surface area of the actual Kaaba is 1260 square meters.

To find the surface area of the actual Kaaba, we need to know the dimensions of the real Kaaba. Since we know the dimensions of Kamal's replica and the scale factor, we can use proportion to find the dimensions of the actual Kaaba.

Let x be the length of the actual Kaaba in meters.

Then we have:

x/24 = 50

x = 24 × 50 = 1200 cm = 12 meters

Similarly, the width and height of the actual Kaaba can be found using the same method:

Width of actual Kaaba = 21 cm × 50 = 1050 cm = 10.5 meters

Height of actual Kaaba = 30 cm × 50 = 1500 cm = 15 meters

Now we can find the surface area of the actual Kaaba. The surface area of a rectangular prism (which the Kaaba resembles) is given by:

Surface area = 2lw + 2lh + 2wh

Plugging in the values we found, we get:

Surface area = 2(1210.5) + 2(1215) + 2(10.5 × 15) = 1260 square meters

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Answer:

0

Step-by-step explanation:

\(40k = - 36\)

\(k = - \frac{9}{10} \)

\(40( - \frac{9}{10} ) + 36 = 0\)

\( - 36 + 36 = 0\)

He will pick a sample of seniors in this instance.

Given statement,

Dr. Stuart wants to study whether there is a relationship between the number of hours a high school senior spends on social networking sites and their grade point average. he obviously cannot study every 12th grader, so instead, he will select a smaller of seniors to study.

→ In this case he will select a sample of seniors.

→ Dr. Stuart is interested in determining whether there is a correlation between a high school senior's grade point average and the number of hours spent on social networking sites. He will instead choose a smaller sample of seniors to study because he certainly cannot study every student in the 12th grade.

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Let's call the greater number "x" and the lesser number "y". According to the problem, we know that:

x - y = 48  (since the difference between the two numbers is 48)

y = (1/3)x   (since the lesser number is one third of the greater number)

Now we can substitute the second equation into the first equation:

x - (1/3)x = 48

Simplifying this equation, we get:

(2/3)x = 48

Multiplying both sides by 3/2, we get:

x = 72

Now that we know x, we can use the second equation to find y:

y = (1/3)x = (1/3)(72) = 24

So the two positive numbers are 72 and 24.

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The equation of the translated and reflected graph is y = -√(x + 3) - 9.

option D.

The equation of the translated graph is determined as follows;

Starting with the given graph of y = √x

a left shift of 3 units would result in the equation y = √(x + 3),

because the x-coordinate of each point on the graph is decreased by 3.

A vertical shift of 9 units would result in the equation y = -√(x + 3) - 9, because the y-coordinate of each point on the graph is increased by 9.

Reflecting the graph over the x-axis would result in the equation;

y = -√(x + 3) - 9

This is because the entire graph is flipped over the x-axis, causing the y-coordinates to be negated and decreased by 9.

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Answer:

117

Step-by-step explanation: 94 + 23

Answer:

63 and also can I get Brainliest please

Step-by-step explanation:

We use the format (x, y) to write the coordinates in format XY. Coordinates XY is a coordinate that use in Cartesian coordinate.

What is Cartesian coordinate?

Cartesian coordinate is system to draw a specific location of an unique point in the numerical condition that oriented in the two constant line where the vertical line called ordinate or Y and the horizontal line called abscess or X. The Cartesian coordinate commonly use in architecture or  a design of a certain object that has a certain dilate with its original plan. This design later is use to control the construction process of the original object.

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Answer:

12362.70

Step-by-step explanation:

Becuae you have to use the principal and all that sorry i can not rpovide and explaination sorry brainly patrol pls dont delete this

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36

Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B

Answer:‘12.92

Step-by-step explanation:

Answer:

Step-by-step explanation:

$12.99

applying coupon

\(12.99(1-12\%) = 12.99*88\% = 11.4312\\11.4312 * (1+13\%) = 12.917=12.92\)

Answer:

yes

Step-by-step explanation:

In maths, x and y are variables. common factor is taken only when these variables are repeatedly used.

The abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent is not provided in the given information.

The given information states that ∠c and ∠f are right angles (rt. ∠'s), and ∠b is not explicitly mentioned. In order to determine the abbreviation of the postulate or theorem that supports the conclusion of triangle congruence, we would need additional information regarding the sides or angles of the triangles.

Triangle congruence can be established using various postulates and theorems, such as the Side-Angle-Side (SAS) postulate, Angle-Side-Angle (ASA) theorem, Side-Side-Side (SSS) postulate, and others. These criteria establish specific conditions that need to be met in order to prove that two triangles are congruent.

Without knowing the specific side or angle relationships between the triangles in the given information, it is not possible to determine the appropriate postulate or theorem that supports the conclusion of triangle congruence.

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Fauvist artists extended the visual vocabulary of Post-Impressionism by making their primary subject matter Color

Fauvist artists, a group of early 20th-century painters, indeed extended the visual vocabulary of Post-Impressionism primarily through their innovative use of color. The Fauvist movement emerged in France in the early 1900s and was characterized by bold, vibrant colors and expressive brushwork.

Prior to the Fauvists, Post-Impressionist painters, such as Vincent van Gogh and Paul Cézanne, had already begun to break away from the naturalistic color palette of Impressionism. They explored new ways of using color to convey emotion and form, but it was the Fauvists who took this exploration to new levels.

Fauvist artists, including Henri Matisse, André Derain, and Raoul Dufy, embraced intense, non-naturalistic colors. They used bold, contrasting hues that were often unrelated to the actual appearance of their subjects. This departure from traditional color usage was a radical departure from the subdued, more subdued palettes of earlier movements.

By focusing on color as their primary subject matter, the Fauvists aimed to evoke powerful emotional responses from the viewers. They believed that color had the ability to express emotions and convey meaning on its own, without being limited to realistic representations of objects. Instead of relying on naturalistic color schemes, they used vivid and arbitrary colors to create a sense of energy and vitality.

The Fauvists also liberated color from its traditional role as a means to depict light and shadow. They applied colors freely and spontaneously, often using broad brushstrokes, without concern for accurate representation. This allowed them to create highly expressive and subjective interpretations of their subjects, whether they were landscapes, portraits, or still lifes.

In summary, Fauvist artists extended the visual vocabulary of Post-Impressionism primarily through their revolutionary use of color. By breaking away from the naturalistic color palette and embracing bold, vibrant hues, they explored the expressive potential of color itself, going beyond traditional notions of representation. Their approach opened up new avenues for artistic expression and paved the way for further experiments in color by future generations of artists.

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Answer:

Honestly I can only think about Black Cat too.

Step-by-step explanation:

I know its not because I agree she is only in the comics, but I just don't have enough information. Like who is the main charactor.

The linear equation in slope-intercept form is y = 3/5x + 2

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

3x-5y=-10

Rewrite properly

So, we have the following representation

3x - 5y = -10

To start with; Subtract 3x from both sides of the equation

So, we have the following representation

-5y = -3x - 10

Divide through by 5

This gives

y = 3/5x + 2

y = x - 1/5

Hence, the equation in slope-intercept form is y = 3/5x + 2

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Complete question

Write the linear equation in slope-intercept form.

3x-5y=-10

Answer:

46656

Step-by-step explanation:

Also, you should use the app cymath.

Answer:

46656

Step-by-step explanation:

i hope this help :)

The roots of the auxiliary equation for the Cauchy-Euler equation \(4x^2y'' + 4xy' - y = 0\) are r = -1/2 and r = 1/2. The particular solution, given that the constants of integration are equal to one, is \(y(x) = 1/\sqrt{x} +\sqrt{x}\).

To find the roots of the auxiliary equation for the given Cauchy-Euler equation, we substitute \(y = x^r\) into the equation, where r is a constant. Let's solve it step by step.

The Cauchy-Euler equation is given as:

\(4x^2y'' + 4xy' - y = 0\)

Substituting \(y = x^r\) into the equation:

\(4x^2(r(r-1)x^{(r-2)}) + 4x(r)x^{(r-1) }- x^r = 0\)

Simplifying the equation:

\(4r(r-1)x^r + 4r x^r - x^r = 0\)

\(x^r\) is a common term, so we can factor it out:

\(x^r (4r(r-1) + 4r - 1) = 0\)

The equation will be true if either of the factors is equal to zero:

\(1) x^r = 0\)

  This is not a valid solution since it leads to y = 0.

\(2) 4r(r-1) + 4r - 1 = 0\)

Expanding and simplifying the equation:

\(4r^2 - 4r + 4r - 1 = 0\\4r^2 - 1 = 0\)

Now, we solve this quadratic equation for r:

\(4r^2 - 1 = 0\\(2r)^2 - 1 = 0\\(2r + 1)(2r - 1) = 0\)

Setting each factor equal to zero:

2r + 1 = 0   or   2r - 1 = 0

For 2r + 1 = 0:

2r = -1

r = -1/2

For 2r - 1 = 0:

2r = 1

r = 1/2

Therefore, the roots of the auxiliary equation are r = -1/2 and r = 1/2.

Now, let's find the solution given that the constants of integration are equal to one.

For the root r = -1/2:

The solution is \(y_1(x) = x^r = x^{(-1/2)} = 1/\sqrt{x}\)

For the root r = 1/2:

The solution is \(y_2(x) = x^r = x^{(1/2)} = \sqrt{x}\)

Hence, the general solution to the Cauchy-Euler equation is:

\(y(x) = C_{1} 1/\sqrt{x} + C_{2} \sqrt{x}\)

Since the constants of integration are equal to one, the particular solution is: \(y(x) = 1/\sqrt{x} +\sqrt{x}\).

Please note that the solution is valid for x > 0.

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The complete question is:

Given the Cauchy-Euler equation,\(4x^2y'' + 4xy' - y = 0\) , find the roots of the auxiliary equation (listed in increasing order, if applicable) and and the solution given that the constants of integration are equal to one. y=

Answer:

Step-by-step explanation:

6(5x - 2) = -72

30x - 12 = -72

30x = -60

x = -2

answer is A

The solution to 6 (5x – 2) = -72 is x = -2.

An expression is a mathematical way of writing statements.An expression contains mathematical operation of like additions, subtraction, multiplication and division.There re many types of expressions like arithmetic expression, algebraic expression, logarithmic expression, trigonometric expressions.An expression can even be combination of all these different types of expressions.

According to the given question we have find the value of x for the given expression 6 (5x – 2) = -72.

6 (5x – 2) = -72

30x - 12 = -72                                           [ a+(b - c) = ab - ac ]                

30x = - 72 + 12

30x = - 60

   x = -2.

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The probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer is 5/45, or approximately 0.11.

To calculate the probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer, we need to consider the number of possible combinations of socks that result in a match and divide that by the total number of possible combinations of two socks.

The man has a total of 5 pairs of socks, or 10 socks, so there are 10 choose 2, or 45, possible combinations of two socks. Out of these, 5 of them result in a match, because there are 5 pairs of matching socks in the drawer.

Therefore, the probability of getting a matched pair of socks is 5/45, or approximately 0.11. This means that there is an 11% chance that the man will select a matched pair of socks if he randomly selects two socks from the drawer.

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