Let S(t) be the number of students enrolled in a school district in terms of the number of years, t, after 2000. Which statements regarding function S are true? Select TWO that apply. Responses S(0) = 2,000 means that there were no students in the year 2000. S(0) = 2,000 means that there were no students in the year 2000. S(10)=S(5) means that there were the same number of students in 2010 as in 2005. cap s times 10 is equal to cap s times 5 means that there were the same number of students in 2010 as in 2005. S(5)= 2,024 means that there were 2,024 students in the year 2005. S(5)= 2,024 means that there were 2,024 students in the year 2005. S(15) − S(10) = −40 means that there were 40 less students in 2010 than there were in 2015. S(15) − S(10) = −40 means that there were 40 less students in 2010 than there were in 2015. S(3)= 2,015 means that there were 3 students in the year 2015.

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Perpendicular.

x = -1 is a vertical line intersecting the x-axis at (-1, 0).

y = -1 is a horizontal line intersecting the y-axis at (0, -1).

Because these lines are both straight, they will eventually intersect at (-1, -1). They will also form 90° angles, the definition of perpendicular.

Answer:

Step 3.

Step-by-step explanation:

We need to tell the incorrect step in the given problem for the product of        (–2.5)(–8.3)

Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2:

We can write -2.5 = -(2+0.5)

(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)

= 16.6 + 4.15

Step 3.

= 20.75

He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.

Answer:

it is step 3

Step-by-step explanation: i just took the test mark me brainliest lol :>

Answer:

baananananannanananan

Step-by-step explanation:

We can see that point (-2, 4) lies inside the shaded region, and hence, it is a solution to the given system. Therefore, the correct option is D. (-2, 4).

The given system of equations is:

2x + 3y > 6 (1)3x + 2y < 6 (2)

In order to identify the solutions to the given system, we will first solve each of the given inequalities separately.

Solution of the first inequality:

2x + 3y > 6 ⇒ 3y > –2x + 6 ⇒ y > –2x/3 + 2

The graph of the first inequality is shown below:

As we can see from the above graph, the region above the line y = –2x/3 + 2 satisfies the first inequality.

Solution of the second inequality:3x + 2y < 6 ⇒ 2y < –3x + 6 ⇒ y < –3x/2 + 3

The graph of the second inequality is shown below:

As we can see from the above graph, the region below the line y = –3x/2 + 3 satisfies the second inequality.

The solution to the system is given by the region that satisfies both the inequalities, which is the shaded region below:

We can see that point (-2, 4) lies inside the shaded region, and hence, it is a solution to the given system.

Therefore, the correct option is D. (-2, 4).

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The given system of inequalities doesn't have a solution among the provided options. In addition, the provided solutions seem to be incorrect because they consist of three numbers whereas the system is in two variables.

To solve this system, we will begin by looking at each inequality separately. Starting with 2x + 3y > 6, we need to find the values of x and y that satisfy this inequality. Similarly, for the second inequality, 3x + 2y < 6, we need to find the values of x and y that meet this requirement. A common solution for both inequalities would be the solution of the system. Yeah, None of the given options satisfy both inequalities, so we can't find a common solution in the options provided.

It's important to notice that the values in the options are trios while the system is in two variables (x and y). Therefore, none of these options can serve as a solution for the system. The coordinates should only contain two values (x, y), one value for x and another for y.

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a-1. The expected value of the sample proportion is 33.33 (rounded to 2 decimal places), and the standard error is 0.0374 (rounded to 4 decimal places).

a-2. Yes, it is appropriate to use the normal distribution approximation for the sample proportion because both conditions np ≥ 5 and n(1 - p) ≥ 5 are satisfied.

b. The probability that more than 20% of smartphone users in the sample have fallen prey to a cyber-attack can be calculated using the normal distribution with a mean of 0.1667.

Expected value: The expected value is given by the formula: E(X) = npwhere,n = sample size = proportion of individuals with the specific characteristic in the population. The sample proportion can be calculated by dividing the number of individuals with the specific characteristic by the sample size.

p = 1/6n = 200E(X) = np = (1/6) × 200 = 33.33 ≈ 33.33. Therefore, the expected value is 33.33.

Standard error: The formula for standard error is given by: SE = √(pq/n)where p = proportion of individuals with the specific characteristic in the population.q = 1 – p (proportion of individuals without the specific characteristic in the population).n = sample size.

Substituting the values, we get,SE = √[(1/6 × 5/6)/200] = 0.0374 ≈ 0.0374Therefore, the standard error is 0.0374.

Yes, because np ≥ 5 and n(1 - p) ≥ 5The normal distribution approximation for the sample proportion is appropriate because np and n(1 - p) are both greater than or equal to 5.

Therefore, the answer is "Yes, because np ≥ 5 and n(1 - p) ≥ 5." b).

To find this probability, we need to calculate the z-score and then use the z-table.From the given information, the proportion of smartphone users that have fallen prey to cyber-attack isp = 1/6 = 0.1667q = 1 – p = 1 – 0.1667 = 0.8333n = 200.

Thus,μ = p = 0.1667σ = √(pq/n) = √[(0.1667 × 0.8333)/200] = 0.0374z = (x – μ)/σz = (0.20 – 0.1667)/0.0374 = 0.8938. Using the z-table, the probability of z > 0.8938 is 0.1867 or approximately 0.187. Therefore, the probability that more than 20% of smartphone users in the sample have fallen prey to cyber-attack is 0.187.

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Answer:

  c:  8,20,25

Step-by-step explanation:

You want to know which set of side lengths can form a triangle from the sets ...

A set of lengths can form a triangle if and only if the sum of the shorter two exceeds the longest.

In sets a, b, d, the sum of the shorter two is equal to the longest. These lengths will form a line segment, not a triangle.

A triangle can be formed by ...

  c: 8,20,25 . . . . . . 8+20=28 > 25

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we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer:

9 or 11

Step-by-step explanation:

These are the answers because:

1) The number before 10 and after 10 is 9 and 11

Therefore, the answer is 9 or 11

Hope this helps!

These are the true sentences that can be constructed using the symbols:

Increasing function:

If for all x in the open interval containing x₁ and x₂ such that x₁ < x < x₂, then f(x₁) < f(x).

Decreasing function:

If for all x in the open interval containing x₁ and x₂ such that x₁ < x < x₂, then f(x₁) > f(x).

Constant function:

If for all x in the open interval containing x₁ and x₂, then f(x₁) = f(x).

These symbols can be used in constructing true sentences:

Increasing function:

x₁ < x₂ and f(x₁) < f(x₂)

x₁ < x₂ and f(x₁) ≤ f(x₂)

x₁ < x₂ and f(x) < f(x₂) for all x in the open interval containing x₁ and x₂

Decreasing function:

x₁ < x₂ and f(x₁) > f(x₂)

x₁ < x₂ and f(x₁) ≥ f(x₂)

x₁ < x₂ and f(x) > f(x₂) for all x in the open interval containing x₁ and x₂

Constant function:

f(x₁) = f(x₂)

f(x) = f(x₁) for all x in the open interval containing x₁ and x₂

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Since 2 is not equal to 1, we have found a counterexample where the two expressions are not equal. We can conclude that the statement (m//n)//p = m//(n⋅p) is false in general.

To prove or disprove the statement (m//n)//p = m//(n⋅p), we need to consider two cases:

Case 1: If n = 0 or p = 0

In this case, the expression (m//n)//p is undefined since division by zero is not allowed. Similarly, m//(n⋅p) would also be undefined. Therefore, the statement is neither true nor false for this case.

Case 2: If n and p are both nonzero

Let's assume m, n, and p are all nonzero positive integers. We will compare the two expressions and show that they are not equal.

Consider the expression (m//n)//p:

(m//n)//p = ⌊m/n⌋//p = ⌊m/n⌋ // p + r, where r is the remainder when m/n is divided by p.

Now consider the expression m//(n⋅p):

m//(n⋅p) = ⌊m/(n⋅p)⌋ = ⌊m/n⌋ // p

From the above expressions, we can see that (m//n)//p = ⌊m/n⌋ // p + r, and m//(n⋅p) = ⌊m/n⌋ // p.

To disprove the statement, we need to find a counterexample where r is not equal to zero. Let's consider an example:

m = 7, n = 2, p = 3

Using the expressions above:

(m//n)//p = ⌊7/2⌋//3 = 3//3 + 1 = 1 + 1 = 2

m//(n⋅p) = ⌊7/(2⋅3)⌋ = ⌊7/6⌋ = 1

Since 2 is not equal to 1, we have found a counterexample where the two expressions are not equal.

Therefore, we can conclude that the statement (m//n)//p = m//(n⋅p) is false in general.

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Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

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Answer:

81 cm^3

Step-by-step explanation:

We know that we have to use 3 for pi.

Formula given for formula of cone is:

πr^2h ÷3

Use formula with the given pi and dimensions:

3(3^2)(9) ÷ 3

= 3(9)(9) ÷ 3

= 243 ÷ 3

= 81

Volume is measured in cubic centimeters.

FINAL ANSWER:

81 cm^3

Hope this helps!

The minimum amount monthly credit card payment be in order to pay off his debt in 14 months is $244.15, the correct option is C.

We are given that;

Out of savings=  $2,300

Credit card debt = $5,390

Rate=16.5%

Now,

We need to know the percentage rate that Alex’s issuer uses to calculate the minimum payment, and the interest charge and fees for each month. Assuming that Alex’s issuer uses a 2% rate, and that there are no fees or past-due amounts, we can use this formula:

Credit Card Minimum Payment = (A * P) + I

Where A is the statement balance, P is the percentage rate, and I is the interest charge.

The interest charge can be calculated by multiplying the balance by the APR and dividing by 123. For example, the interest charge for the first month is:

I = ($5,390 - $2,300) * 0.165 / 12 I = $42.74

The minimum payment for the first month is:

Credit Card Minimum Payment = ($5,390 - $2,300) * 0.02 + $42.74 Credit Card Minimum Payment = $104.54

To pay off the debt in 14 months, Alex needs to pay more than the minimum payment every month. We can use an online calculator4 to find out how much he needs to pay monthly to achieve this goal.

Therefore, by percentage the answer will be $244.15.

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Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options. 8 cars had exactly two of the given options during the month of July.

To determine the number of cars that had exactly two of the given options (air conditioning, automatic transmission, and power steering), we can follow these steps:

1. Find the total number of cars sold in July.
2. Subtract the number of cars with none, one, or all three options to get the number of cars with exactly two options.

Step 1: Find the total number of cars sold in July
- 24 cars had none of the extras
- 24 cars had only air conditioning
- 64 cars had only automatic transmission
- 35 cars had only power steering
- 8 cars had all three extras
Total cars = 24 + 24 + 64 + 35 + 8 = 155 cars

Step 2: Subtract the number of cars with one or all three options
- 87 cars had air conditioning
- 99 cars had an automatic transmission
- 73 cars had power steering
- 8 cars had all three extras

Total cars with at least one option = 87 + 99 + 73 - 8 = 251 cars

Now, subtract the number of cars with none or one option from the total number of cars to find the number of cars with exactly two options:

Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options
Cars with exactly two options = 155 - (24 + 24 + 64 + 35) - 8 = 155 - 147 = 8 cars
Therefore, 8 cars had exactly two of the given options during the month of July.

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Answer:

384 cm^2

Step-by-step explanation:

Let the lengths of the sides of the right-angled triangle be 6x, 8x, and 10x, where x is a constant.

Since the perimeter of the triangle is 96 cm, we have:

6x + 8x + 10x = 96

24x = 96

x = 4

Therefore, the lengths of the sides of the triangle are 24 cm, 32 cm, and 40 cm.

The area of a right-angled triangle is given by the formula:

Area = (1/2) * base * height

where the base and height are the two shorter sides of the triangle.

Using the Pythagorean theorem, we can determine that the base and height of the triangle are 24 cm and 32 cm, respectively.

Therefore, the area of the triangle is:

Area = (1/2) * base * height

Area = (1/2) * 24 cm * 32 cm

Area = 384 cm^2

Therefore, the area of the right-angled triangle is 384 cm^2.

A ray is a part of a line that starts at a point (called the endpoint) and extends infinitely in one direction. An angle is formed when two rays share a common endpoint (vertex).

A ray has one endpoint: A ray is a one-dimensional figure that starts at a single point (the endpoint) and extends infinitely in one direction. On the other hand, an angle is formed by two rays, each with its own endpoint, meeting at a common vertex.

An angle is two rays: As mentioned earlier, an angle is created when two rays share a common endpoint. The two rays are referred to as the sides of the angle, and the endpoint they share is called the vertex.

The measure of an angle is determined by the amount of rotation: The measure of an angle is not dependent on the lengths of its sides but rather on the amount of rotation between its two rays. To measure an angle, we compare it to a standard unit of angle measurement, usually degrees. One full rotation (360 degrees) corresponds to a complete circle, and angles are measured based on the fraction of a full circle they represent.

The measure of an angle remains the same at all distances from its vertex: The measure of an angle is independent of the length of its sides or how far away an observer is from the vertex. For example, a 60-degree angle remains a 60-degree angle whether you look at it from up close or from a distance. This is because the measure of an angle depends only on the relative positions of its two rays, not on the size of the shape it forms.

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Answer:

The base is 12.5 cm.​

Explanation:

From the diagram, the perpendicular height of the triangle = 32cm

Area = 400 square cm.

Substitute the given values into the formula:

The base is 12.5 cm.​

Answer:

You would go $2.60/s

Step-by-step explanation:

then when you have your total number of students you take the total cost and divide that by the number of students that you have to figure out the cost of crackers for each student

By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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Answer:

The juice is 1 dollar

2+1= 3

2+2+2+1=7

hoped this helped

Answer:

The juice is worth $2.50

Step-by-step explanation:

7$- 3$ = 4$

1.50 *3 = 4.50

4.5 + 2.50 = 7

The apples are worth a $1.50

I hope this helps you!

There is exactly one more real solution or there is exactly one more complex solution

Given,

One solution to a quadratic equation is x = -5/3

We have to find the correct statements from the given ones;

A polynomial of degree two is a quadratic equation.

This implies that a polynomial has two solutions.

We already have an answer to the query, which is a true root.

Then, the additional response that we lack can appear in the form of two responses.

It may be a real root or a complicated root, depending on the situation.

The following is the response to this query:

There is exactly one more real solution or there is exactly one more complex solution

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The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

1/8

The probability of getting a head or a tail when flipping a coin is 1/2.  

Therefore, the probability of getting two heads when tossing two coins is 1/2 x 1/2 = 1/4.

The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

Since each person is tossing three coins, the probability that they both obtain the same number of heads is 1/8.

The probability of getting n heads when tossing n coins is 1/2^n. Therefore, the probability of getting the same number of heads when two people toss n coins is 1/2^n. This means that if two people each toss a coin, the probability that they both get heads is 1/4; if they each toss two coins, the probability that they both get two heads is 1/16; if they each toss three coins, the probability that they both get three heads is 1/64; and so on.

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Answer:

37

Step-by-step explanation:

Use PEMDAS, in this case, start with multiplication: (2)(-7), don't forget there is a minus sign in front of the two which is important later, then move on to dividing (-9) by (-3). Then you are left with 20-(-14)+3, which is the same as 20+14+3, which equals 37.

Given

Riley drove 112.5 miles in the good weather ans 45 miles in the storm.

Time taken = 4 hour

Find

speed driving in the storm.

Explanation

Let speed of Riley in the storm = x mph.

Let speed of Riley in good weather = x + 15 mph.

Time taken =

Time taken to drive 112.5 miles in good weather =

Time Taken to drive 45 miles in storm =

Now, the total time t, =

by solving this quadratic equation , we get

Final Answer

The speed of Riley driving in the storm = 30 mph

Answer:

The answer is y=7.5x and y=5.5x+10

Answer:

How did you manage to get it upside down? impressive

Step-by-step explanation:

The answer is C because the slower slope value had +10 as the y intercept also you can clearly see the orange one is going at a faster rate

The first five values of the autocorrelation function (ACF) for the given AR autoregressive model are as follows: ρ(0) = 1, ρ(1) = -0.9, ρ(2) = 0.01, ρ(3) = -0.081, and ρ(4) = 0.0099.

The given AR (autoregressive) model can be represented as:

Z_t = -0.9Z_{t-1} + 0.1Z_{t-2} + c + a_t

where c is a constant and {a_i} is a white noise process. We are required to find the first five values of the autocorrelation function (ACF) and determine if the process is stationary.

The autocorrelation function (ACF) measures the correlation between a time series and its lagged values. In this case, we want to find the ACF for the given AR model. The ACF at lag k, denoted as ρ(k), is defined as the correlation between Z_t and Z_{t-k}.

Z_t = -0.9Z_{t-1} + 0.1Z_{t-2} + c + a_t

E[Z_tZ_{t-k}] = -0.9E[Z_{t-1}Z_{t-k}] + 0.1E[Z_{t-2}Z_{t-k}] + cE[Z_{t-k}] + E[a_tZ_{t-k}]

        ρ(k) = -0.9ρ(k-1) + 0.1ρ(k-2)

ρ(1) = -0.9ρ(0) + 0.1ρ(-1)

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Answer:

x = 33

Step-by-step explanation:

∡ CBE = ∡DBA = 57°

The sum of the interior angles of a triangle results 180°

∡BDA = it´s a right angle = 90°

Then:

57° + 90° + x = 180°

147° + x = 180°

x = 180° - 147°

x = 33°