Find the measures of angles CFE and DEF.​

a. Here's how you can represent the given equation in the Direct-Form 2:
y(n) = x(n) + a1 * y(n-1) + a2 * y(n-2)

b. you need to substitute this input signal into the difference equation and solve for y(n).

c. To find the total solution, you need to sum the zero-state solution and the zero-input solution.

a) To implement the system defined by the given difference equation using the Direct-Form 2, you can break down the equation into a set of smaller equations.

The Direct-Form 2 implementation involves using two delay elements (z^(-1)) and one gain (a). Here's how you can represent the given equation in the Direct-Form 2:

y(n) = x(n) + a1 * y(n-1) + a2 * y(n-2)

Where a1 and a2 are the coefficients of the y(n-1) and y(n-2) terms respectively. In this case, a1 = -1 and a2 = -2.

b) The particular solution of the equation refers to the solution that satisfies the given input signal. In this case, the input signal x(n) is given as (-1)^n * u(n). To find the particular solution, you need to substitute this input signal into the difference equation and solve for y(n).

c) To find the zero-state solution, you need to assume that there are no initial conditions (y(-1) and y(-2) are both zero). You can substitute the given input signal x(n) and solve the difference equation to find the zero-state solution.

To find the zero-input solution, you need to assume that the input signal is zero (x(n) = 0). You can then solve the difference equation with the given initial conditions to find the zero-input solution.

To find the total solution, you need to sum the zero-state solution and the zero-input solution.

To learn more about system, refer below:

https://brainly.com/question/19843453

#SPJ11

• The have 1 equal sides.

• They have 3 sides.

• They have 3 vertex.

|

• GFE = UTS

|

• because they're the same triangle just opposite.

Answer:

Y +  (Y + 4) your answer.

Step-by-step explanation:

Y is representing Diego's age and his brother is four years older than him so that is how you would get (Y + 4). It then stated the sum of both ages so that is how I got the equation.

Answer:

x is a letter

Step-by-step explanation:

2 is a number

Answer:

I have completed it and attached in the explanation.

Step-by-step explanation:

Answer:

Hie..! Here's the answer

Thanks ✨

The functions 1/x, 1-x², and 1-3x are linearly independent on any interval that does not contain x=0, but they are dependent at x=0.

To determine whether the functions 1/x, 1-x², and 1-3x are linearly independent, we can use the Wronskian method. The Wronskian of a set of functions f1(x), f2(x), ..., fn(x) is defined as:

W(f1, f2, ..., fn) = det | f1 f2 ... fn |

| f1' f2' ... fn' |

where f1', f2', ..., fn' are the derivatives of the functions with respect to x.

If the Wronskian is nonzero for all values of x in a given interval, then the functions are linearly independent on that interval. If the Wronskian is zero for at least one value of x in the interval, then the functions are linearly dependent on that interval.

For the functions 1/x, 1-x², and 1-3x, we have:

W(1/x, 1-x², 1-3x) = det | 1/x 1-x² 1-3x |

| -1/x² -2x -3 |

| 0 -2x 0 |

Expanding the determinant, we get:

W(1/x, 1-x², 1-3x) = -6/\(x^3\)

Since the Wronskian is nonzero for all values of x except x = 0, the functions 1/x, 1-x², and 1-3x are linearly independent on any interval that does not contain x = 0.

Therefore, the functions are linearly independent except at x = 0.

Learn more about Wronskian method

brainly.com/question/14309076

#SPJ11

To calculate the deposit sample mean, we need to add up all the bank deposits and divide by the number of respondents. From the table, the total bank deposits is $45,000 and there are 10 respondents. So the deposit sample mean is:

Deposit sample mean = Total bank deposits / Number of respondents
Deposit sample mean = $45,000 / 10
Deposit sample mean = $4,500

To calculate the deposit sample standard deviation, we need to first find the differences between each respondent's bank deposit and the sample mean. We then square these differences, add them up, divide by the number of respondents minus one (known as the degrees of freedom), and then take the square root. Here are the steps:

Step 1: Find the differences between each respondent's bank deposit and the sample mean:

Respondent 1: $3,000 - $4,500 = -$1,500
Respondent 2: $5,000 - $4,500 = $500
Respondent 3: $4,500 - $4,500 = $0
Respondent 4: $6,000 - $4,500 = $1,500
Respondent 5: $3,500 - $4,500 = -$1,000
Respondent 6: $5,500 - $4,500 = $1,000
Respondent 7: $6,500 - $4,500 = $2,000
Respondent 8: $4,000 - $4,500 = -$500
Respondent 9: $4,500 - $4,500 = $0
Respondent 10: $4,500 - $4,500 = $0

Step 2: Square each difference:

Respondent 1: (-$1,500)^2 = $2,250,000
Respondent 2: $500^2 = $250,000
Respondent 3: $0^2 = $0
Respondent 4: $1,500^2 = $2,250,000
Respondent 5: (-$1,000)^2 = $1,000,000
Respondent 6: $1,000^2 = $1,000,000
Respondent 7: $2,000^2 = $4,000,000
Respondent 8: (-$500)^2 = $250,000
Respondent 9: $0^2 = $0
Respondent 10: $0^2 = $0

Step 3: Add up the squared differences:

$2,250,000 + $250,000 + $0 + $2,250,000 + $1,000,000 + $1,000,000 + $4,000,000 + $250,000 + $0 + $0 = $11,000,000

Step 4: Divide by the degrees of freedom (number of respondents minus one):

$11,000,000 / 9 = $1,222,222.22

Step 5: Take the square root:

Deposit sample standard deviation = √$1,222,222.22 = $1,105.54

Therefore, the deposit sample mean is $4,500 and the deposit sample standard deviation is $1,105.54.

Learn more about sample mean and sample standard deviation:

https://brainly.com/question/10683952

#SPJ11

Given:

Consider the given equation is

\(P=2L+2W\)

To find:

The solution of the equation for l.

Solution:

We have,

\(P=2L+2W\)

Substract 2W from both sides.

\(P-2W=2L+2W-2W\)

\(P-2W=2L\)

Divide both sides by 2.

\(\dfrac{P-2W}{2}=\dfrac{2L}{2}\)

\(\dfrac{P-2W}{2}=L\)

\(L=\dfrac{P-2W}{2}\)

Therefore, the correct option is 3.

Answer:

  see below

Step-by-step explanation:

You can work this based only on the domain. You don't need to figure the volume, though you can if you want to check the answer further.

x represents the length of the box, which has a restriction that it can be no greater than 6 ft. This tells you x ≤ 6. However, the width is 5 ft shorter than the width, so its value is x-5. But we know the width must be greater than zero:

  0 < x -5

  5 < x

So, the constraints on the domain of x are ...

  5 < x ≤ 6 . . . . . . only matches the last choice, (5, 6]

___

Checking the volume

The height is 3 more than the width, so the volume is ...

  V = LWH = (x)(x -5)(x -5 +3) = x(x -5)(x -2) = x(x^2 -7x +10)

  V = x^3 -7x^2 +10x

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

To learn more about finding Probability :

https://brainly.com/question/25839839

#SPJ11

Answer:

4.5 hours

Step-by-step explanation:

8:2h = 18:x

8x = 18×2h

x = 36h/8

x = 4.5

hope this helps :)

Answer:

\({ \tt{area = {area \: of \: 4 \: triangles}}} \\ area = \frac{1}{2} \times base \times height \\ \\ { \bf{area = 2(\frac{1}{2} (0.75 \times 1)) + 2( \frac{1}{2} \times 0.75 \times (3 - 1))}} \\ area = 0.75 + 1.5 \\ { \tt{area = 2.25 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}\)

Answer:

To find (f•g)(-2), we need to first calculate f(-2) and g(-2).

f(-2)=-3(-2)-1=-7

g(-2)=(-2)^2+5=9

Then, we can calculate (f•g)(-2) as follows:

(f•g)(-2)=f(-2)g(-2)=-7*9=-63

Answer:

U = x^2

hope this helped!

Answer:

x^2

Step-by-step explanation:

The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS

Answer:

15pi

Step-by-step explanation:

The equation for circumference is C=2πr

In the question you're given the diameter so we need to take 15 and divide by 2

giving us r=7.5

then 7.5*2=15

giving us 15pi

Answer:

YES

Step-by-step explanation:

To solve this inequality, you need to multiply both sides by -5.

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol.

Answer: YES

Answer: This question is not right

Step-by-step explanation:

What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.

1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800

There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's

Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question

Answer:

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

Calculate the total number of payments:

Calculate the total amount paid:

So, the Wong family will pay a total of $358200 in principal and interest.

The total principal is $358200 and the interest is $168200.

Given that, the Wong family bought a $190,000 home in 2001.

The monthly payment, not including property taxes and insurance, is $995.

Total money for 30 years = 30×12×995

= $358200

Here, the principal =$190,000 and the interest = 358200-190,000

= $168200

Therefore, the total principal is $358200 and the interest is $168200.

To learn more about the mortgage payments visit:

https://brainly.com/question/17329729.

#SPJ1

Answer:

Step-by-step explanation:

1)

∠1 = ∠2     {Angles opposite to equal angles are equal}

∠1 = ∠2 = x

x +x + 55 = 180  {angle sum property of triangle}

2x + 55 = 180

        2x = 180 - 55

        2x = 125

          x = 125/2

x = 62.5

∠1 = 62.5

2) ∠2 = 62.5

3) ∠3 = 55         {Vertically opposite angles are congruent}

4) ∠4 + 105 = 180        {linear pair}

∠4 = 180 - 105

∠4 = 75

5) ∠3 + ∠4 + ∠5 = 180 {Angle sum property of triangle}

    55 + 75 +∠5 = 180

            130 + ∠5 = 180

                     ∠5 = 180 - 130

∠5 = 50

9514 1404 393

Answer:

  adjacent angles are 50° and 130°

Step-by-step explanation:

The sum of all 4 angles in a parallelogram is 360°, so the fourth angle must be ...

  360° -310° = 50°

Adjacent angles are supplementary, so the other two angles must be ...

  180° -50° = 130°

The angles in the parallelogram are either 50° or 130°. Adjacent angles are different.

The if statement assigns a value of 10000 to the variable "bonus" if the value of the variable "goodssold" exceeds 500000.

To achieve this, we can use an if statement in programming. An if statement allows us to conditionally execute a block of code based on a specified condition. In this case, the condition is whether the value of the variable "goodssold" is greater than 500000. If the condition evaluates to true, the code inside the if statement will be executed, and the variable "bonus" will be assigned a value of 10000.

Here's an example of how the if statement can be written in Python:

if goodssold > 500000:

   bonus = 10000

In this code snippet, the variable "goodssold" represents the number of goods sold, and we compare its value to 500000 using the greater than operator (>). If the condition is true, the code inside the if statement is executed, and the variable "bonus" is assigned a value of 10000. If the condition is false, the code inside the if statement is skipped, and the variable "bonus" retains its previous value (if any).

By using this if statement, we can dynamically assign a bonus of 10000 to the variable "bonus" based on the value of the variable "goodssold" being greater than 500000. This allows for flexible and conditional handling of the bonus calculation in the program.

Learn more about statement here:

https://brainly.com/question/30483936

#SPJ11

Answer:

1) 11x^3 - 6x - 3

2) 3x^3 + 4x^2 - 2x - 1

3) 9x^2 - 4

4) -4x^4 + 2x^3 - x^2

5) x^3 - 38x - 12

Step-by-step explanation:

1) (3x^4 + 5x^3 - 7x + 2) - (3x^4 - 6x^3 - x + 5)

Step 1: 3x^4 + 5x^3 - 7x + 2 - 3x^4 + 6x^3 + x - 5 (multiply the terms in the parenthesis by the constants, which are 1 and -1)

Step 2: 3x^4 - 3x^4 + 5x^3 + 6x^3 - 7x + x + 2 - 5 (reorganize the polynomial by exponential values (ex: x^4 before x^3 before x^1))

Step 3: 11x^3 - 6x - 3 (add like terms)

2) (3x^3 + 8x - 3) + (4x^2 - 10x + 2)

Step 1: 3x^3 + 8x - 3 + 4x^2 - 10x + 2 (multiply the terms in the parenthesis by the constants)

Step 2: 3x^3 + 4x^2 + 8x - 10x - 3 + 2 (reorganize the polynomial)

Step 3: 3x^3 + 4x^2 - 2x - 1 (add like terms)

3) (3x + 2)(3x - 2)

Step 1: 9x^2 - 6x + 6x - 4 (Use FOIL to multiply binomials, or multiply the first terms, outside terms, inside terms, then last terms)

Step 2: 9x^2 - 4 (add like terms)

4) -x^2(4x^2 - 2x + 1)

Step 1: (-x^2*4x^2) + (-x^2*(-2x)) + (-x^2*1) (multiply -x^2 by each term)

Step 2: -4x^4 + 2x^3 - x^2 (simplify; remember x^2 is the same as -1*x^2)

5) (x + 6)(x^2 - 6x - 2)

Step 1: ((x*x^2) + (x*(-6x)) + (x*(-2))) + ((6*x^2) + (6*(-6x)) + (6*(-2))) (multiply the first term in the binomial by each term in the trinomial, and do the same with the second term)

Step 2: x^3 - 6x^2 + 6x^2 - 2x - 36x - 12 (simplify and reorganize)

Step 3: x^3 - 38x - 12 (add like terms again)

Answer:

points A C and d <3

Step-by-step explanation:

Answer:

i dont know show a pic

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The AGI and taxable income is $23,670 and $11,270

How to calculate AGI(Adjusted gross income) ?

The AGI calculation can be done as,

We have given that,

Gross income = $23670

1 Exemption = $12400

Adjustment = 0

Deduction = 0

Find AGI and Taxable income

AGI = Adjusted gross income

we know,

AGI = Total income - Any deduction or any adjustment  

AGI = ($23,670 + $12400)  - (0 + 0)

AGI = $36070

Now, Calculate taxable income

Taxable income = Gross income - 1 Exemption

                           = $23670 - $12400

                           = $11,270

Hence, the AGI and taxable income is $36,070 and $11,270

To read more about AGI

https://brainly.com/question/14059060

#SPJ13

Answer: D is the answer

Step-by-step explanation:

$23,670 and $11,270

The point (4,7) in the original function translates to the point (4,1) in the translated function f(x) = (x-6) + 3.

To find the point that the function f(x)=(x-6)+3 translates to, we need to substitute the x-coordinate of the given point (4,7) into the translated function and evaluate the corresponding y-coordinate.

Let's substitute x = 4 into the translated function:

f(x) = (x - 6) + 3

f(4) = (4 - 6) + 3

f(4) = -2 + 3

f(4) = 1

The translated point is (4, 1). This means that the original point (4,7) translates horizontally by shifting 6 units to the right and vertically by shifting 3 units upwards. The x-coordinate remains the same, while the y-coordinate changes.

For such more questions on function

https://brainly.com/question/25638609

#SPJ8

Answer:

Step-by-step explanation:

8.1