Answer: 2x-9y=1
Step-by-step explanation:
(this is how i found it don't know if this is how you learned it though)
Subtract 20 from both sides of -3x-8y=20, so that it becomes -3x-8y-20
Subtract 19 from both sides of -5x+y=19, so you get -5x+y-19
Subtract like terms from both equations (-3x-8y-20)-(-5x+y-19), which gives you 2x-9y-1
-3--5=2, -8-1=-9, -20--19=-1
Add 1 to both sides and you get 2x-9y=1
determine the sine and cosine of 90 degrees
there are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. how many ducks are there?
Answer:
3 Ducks
Step-by-step explanation:
Two ducks are in front of the last duck; the first duck has two
ducks behind; one duck is between the other two
Hence , there are 3 ducks
Hope it is correct
Answer: I think 7
Step-by-step explanation: Sorry if its wrong.
an lti system has the frequency response function h(ω)=1/(jω 3). compute the output if the input is
The output of the LTI system with frequency response function \(h(w) = 1/(jw^3)\), given an input\(x(t)\), is:
\(y(t)\)= inverse Fourier transform of \([1/(jw^3) X(w)]\)
To compute the output of an LTI system with frequency response function \(h(w) = 1/(jw^3)\), given an input x(t), we can use the Fourier transform:
\(H(w)\) = Fourier transform of \(h(t)\)
\(X(w)\) = Fourier transform of \(x(t)\)
\(Y(w) = H(w) X(w)\)
\(Y(w)\) is the Fourier transform of the output \(y(t)\).
Using the given frequency response function, we have:
\(H(w) = 1/(jw^3)\)
Taking the Fourier transform of the input \(x(t)\), we have:
\(X(w)\) = Fourier transform of \(x(t)\)
And multiplying \(H(w)\) and\(X(w)\), we get:
\(Y(w) = H(w) X(w) = 1/(jw^3) X(w)\)
Taking the inverse Fourier transform of \(Y(w)\), we get the output \(y(t)\):
\(y(t)\) = inverse Fourier transform of \(Y(w)\)
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FREE BRAINLIEST AND EXTRA POINTS!!!!
The point (0, 2) is the only solution to the system of linear equations that contains the equations.
y = 1/2x + 2 and y = -3x + 2. Choose the term that describes the set of equations.
a.) dependent equations
b.) inconsistent equations
c.) cannot be determined
d.) independent equations
Answer:
c
Step-by-step explanation:
yeshhhhhhhhhjjhhuhj
Answer:
I think It's A what do you think??
Step-by-step explanation:
there are nine different positions on a baseball team. if a team has 15 players how many different line-ups can the team make? (assume every player can play every position.) the team can make different line-ups. baseball games consist of nine innings. a team wants to change its line-up every inning. if no game goes to extra innings, and a season consists of 66 games, how many complete seasons can the team play without repeating a line-up?
There are 18 seasons and the number of different line-ups the team can make is 24310
A) We are given the team has 17 players and there are 9 different positions in the team.
This is a combination question and thus, the number of different line-ups the team can make is;
C(17, 9) = 24310
B) We are told the basketball games consist of 9 innings.
Thus,
Number of games you can fill = 24310/9 = 2701.1111
And then we are told a season consists of 147 games.
Thus;
The number of complete seasons can the team play without repeating a line-up = 2701.1111/147 ≈ 18 seasons.
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Solve the quadratic F(x)=x^2+10x-1
Please explain.
The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26
To solve the quadratic equation f(x) = x² + 10x - 1
we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, a = 1, b = 10, and c = -1.
Substituting these values into the quadratic formula:
x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))
= (-10 ± √(100 + 4)) / 2
= (-10 ± √104) / 2
Simplifying further:
x = (-10 ± 2√26) / 2
= -5 ± √26
Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:
x = -5 + √26 and x = -5 - √26
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Which equation is correct for the circle shown on the graph below?
(X+3)²+(y-6)² = 4
(x-3)²+(y+6)² = 4
(X+3)² + (y-6)² = 2
(X-3)²+(y-6)² = 4
Answer:
A
Step-by-step explanation:
the equation of a circle in standard form is
(x - h )² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 3, 6 ) and r = 2 , then
(x - (- 3) )² + (y - 6)² = 2² , that is
(x + 3)² + (y - 6)² = 4
What number makes the equation true? Enter the answer in the box. + 8 = 4
Answer:
-4
Step-by-step explanation:
-4 + 8 = 4
Answer:
-4
Step-by-step explanation:
-4 + 8 = 4
-4 + 8 is basically subtracting 4 from 8.
So the answer is -4
Hope I helped :)
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A recipe that will make 3 pies calls for 7 cups of flour? Find how many pies can be made with 42 cups of flour.
How do I convert sin to cos?
To convert sin to cos, you can use the identity that relates the two trigonometric functions: cos(x) = sin(x + (π/2)).
So, if you have an expression in terms of sin(x), you can convert it to an expression in terms of cos(x) by replacing sin(x) with sin(x + (π/2)), and then simplifying. Keep in mind that the period of cosine function is 2π, whereas the period of sine function is π. If you want to convert cos(x) to sin(x) you can use the same identity by replacing x with (x + π/2).
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Write an equation in point-slope form for the line through the given point with the given slope. (Need ASAP help)
Is it a, b, c or d?
Bronze is a mixture of copper and tin. The copper and tin are mixed in the ratio 9:1 by weight.
a. How much copper is there in a bronze brooch weighing 360 g?
b. Another bronze brooch contains 670.5g of copper.
How much does it weigh altogether?
a. The amount of copper in a bronze of 360g is 324g
b. The mass of bronze with 670.5g of copper is 745g
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
The ratio of copper to Tin is 9:1. The total ratio is 10
a.therefore the amount of copper = 9/10 × 360
= 324g
b. The mass of copper = 670.5g
therefore the mass of the bronze =
= 9/10× y = 670.5
9y = 670.5 × 10
9y = 6705
y = 6705/9
y = 745g
therefore the total mass of the bronze is 745g
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1/2 divided by 3/4 in simplest form
Answer:
3/2 or 1 1/2
Step-by-step explanation:
.
A cylindrical metal pipe has external diameter of 6cm and internal diameter of 4cm. Calculate the volume of metal in a pipe of length 1 meter. If 1cm^3 of the metal has a mass of 8 grams, find the mass of the pipe.
Answer:
volume is 1570 cm³
mass is 12560 g
Step-by-step explanation:
1m = 100 cm
the volume is :
1/4 x \(\pi\) x 6² x 100 - 1/4 x \(\pi\) x 4² x 100
= 900 \(\pi\) - 400 \(\pi\) { v = 1/4 \(\pi\) d²h }
= 500 \(\pi\)
= 500 x 3.14
= 1570 cm³
the mass of the pipe is:
1570 x 8 = 12560 grams
a weighted coin has a 0.599 probability of landing on heads. what is the probability that it takes 5 flips for the first head to occur? round the final answer to three decimal places.
The probability that it will take 5 flips for the first head to occur in the weighted coin is 0.0155 .
Probability of getting a head in a single flip is = 0.599, and
the probability of getting a tail is = 1 - 0.599 = 0.401 ;
We have to find the probability that it takes exactly 5 flips for the first head to occur,
The Geometric Distribution will be used in this case , that models the number of independent Bernoulli trials needed to obtain the first success.
The probability mass function for geometric distribution is written as :
⇒ P(X = a) = (1 - p)⁽ᵃ⁻¹⁾ × p ;
where "X" = random variable that represents number of flips required to get the first head, and "p" is the probability of success (getting a head), and "a" is the number of flips.
we know that ; p = 0.599, and we have to find P(X = 5).
that means ;
⇒ P(X = 5) = (1 - p)⁽⁵⁻¹⁾ × p = (0.401)⁴ × 0.599 = 0.01548831 ≈ 0.0155 .
Therefore , the required probability is 0.0155 .
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On Dec. 10, Merchandise is sold for $2,0002/10, n/30 to ABC who sends a remittance on Dec. 26 . What is the amount of remittance? a. 1,800 b. 1,400 c. 1,960 d. 2,000
The amount of the remittance from ABC is $1,960.
The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.
Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.
To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.
In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.
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Hi, can anyone help me with this one here? Thanks.
Answer:
Option 4
Step-by-step explanation:
Let \(f(x)=ax^2+bx+c\).
\(f(0)=a(0)^2+b(0)+c=-4 \implies c=-4 \\ \\ f(-1)=a-b-4=-3 \implies a-b=1 \\ \\ f(2)=4a+2b-4=6 \implies 2a+b=5 \\ \\ \therefore (a-b)+(2a+b)=6 \implies a=2 \implies b=1 \\ \\ \therefore f(x)=2x^2+x-4\).
The area of the shaded sector of circle H is 32.
16
H
What is the area of the unshaded sector?
967
O 2247
32871
O 34571
Answer:
B
Step-by-step explanation:
Area of shaded region + Area of unshaded region = Area of circle
Area of the unshaded sector=256*pi-32*pi=224*pi
Answer:
radius Is 16
total area becomes pi r ^ 2 = 16^2 pi = 256pi
remaining area becomes
256 pi - 32 pi = 224 pi option b
brainliest pls
Plot the point (-1.3,-6.6)
Answer:
Step-by-step explanation:
Well, you would just go left 1.3 on the x axis then down 6.6 on the y axis. not sure how i can graph that on here, but that explanation should be good enough.
Find the sun(2x - 6) + (4x - 12)=
1) Let' s x:
\(\mleft(2x-6\mright)+(4x-12)=\)Remove the Parentheses:
\(2x-6+4x-12=\)Combine like terms:
\(6x-18\)2) Hence, the sum of this expression is:
\(\mleft(2x-6\mright)+(4x-12)=\mathbf{6x-18}\)which of the following illustrates the changing composition of the american family? group of answer choices the number of same-sex couples raising children has decreased the number of married couples with children under 18 is climbing fewer people are divorcing or separating an increase in the number of non-family households a decrease in the number of same-sex couples
The option that illustrates the changing composition of the american family is that D) an increase in the number of non-family households.
What is a familyA family is any two or more people who live together and are related by blood, marriage, or adoption; all of these people are regarded as belonging to the same family. Family supports us during both the best and worst of times, which makes these ties crucial.
Family is crucial because they can provide unwavering love, support, and security; they constantly strive to bring out the best in you even when you are unable to see it for yourself. In this case, the option that illustrates the changing composition of the american family is an increase in the number of non-family households. Therefore, the correct option is D.
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what is the maximun of number of people who can stand in each side of the boat
The maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.
The maximum number of people who can stand in each side of a boat can be determined using Archimedes' Principle. This principle states that the buoyant force on an object is equal to the weight of the fluid it displaces. In the case of a boat, the buoyant force is equal to the weight of the water it displaces.
Using this principle, the maximum number of people who can stand in each side of a boat can be calculated using the equation:
F_B = m_p * g
Where F_B is the buoyant force, m_p is the total mass of all the people standing in the boat, and g is the acceleration due to gravity.
To determine the maximum number of people, we must first calculate the mass of the boat, m_b. We can do this by multiplying the volume of the boat (V) by the density of the material the boat is made of (ρ).
m_b = V * ρ
Next, we can calculate the total mass of all the people standing in the boat, m_p. This can be calculated by multiplying the total number of people (n) by the average mass of a person (m).
m_p = n * m
Finally, we can calculate the maximum number of people who can stand in each side of the boat by rearranging the equation for F_B and solving for n.
n = (F_B) / (m * g)
Therefore, the maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.
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what can we say about the relationship between the correlation r and the slope b of the least-squares line for the same set of data?
The correct answer is the signs for r and b are the same (+ or ). The slope b and the correlation r don't necessarily have the same values, but they always share the same sign.
The idea employed in the issue is
1.Correlation
2.Regression
Correlation: Correlation analysis is used to gauge how strongly two variables are related. The symbol for the correlation coefficient is r.
Shape: Whether the data points follow a linear pattern or some other complex curves is indicated by the association's form. If it seems that a line would adequately summarise the overall trend in the data, then do so. The relationship between the two variables is then linear.
The appropriate statement can be found below:
The determination of the standard deviation between the two variables influences how a least-squares linear regression function slopes, and in a similar way, how the sample correlation coefficients are interpreted.
By examining the sign of the regression slope and the correlation coefficient, which depend on the standard deviation between the two variables, the proper conclusion can be drawn.
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6. Prove that the Rotation Matrix R corresponding to quaternion q=(a,b,c,d) is given by 1 . R= ⎣
⎡
2(a 2
+b 2
)−1
2(bc+ad)
2(bd−ac)
2(bc−ad)
2(a 2
+c 2
)−1
2(cd+ab)
2(bd+ac)
2(cd−ab)
2(a 2
+d 2
)−1
⎦
⎤
The rotation matrix R corresponding to a quaternion q=(a,b,c,d) is given by the formula shown.
To prove the given formula for the rotation matrix R corresponding to quaternion q=(a,b,c,d), we can use the properties of quaternions and matrix operations.
A quaternion can be represented as q=a+bi+cj+dk, where a, b, c, and d are real numbers. The rotation matrix R represents a linear transformation that can rotate a vector in three-dimensional space.
To derive the formula for R, we consider the rotation of a unit vector u=(x,y,z) in three-dimensional space using the quaternion q. The rotated vector can be obtained by performing quaternion multiplication between q and the quaternion representation of u.
Using quaternion multiplication rules, the rotated vector can be expressed as quq_conjugate, where q_conjugate is the conjugate of q. The result of this multiplication is another quaternion, which can be represented as r=(x', y', z', w').
The rotation matrix R can be constructed using the components of the quaternion r. The elements of R are derived from the quaternion components using specific formulas.
By performing the necessary calculations, it can be shown that the rotation matrix R is given by the formula provided:
[2(a^2+b^2)-1, 2(bc+ad), 2(bd-ac);
2(bc-ad), 2(a^2+c^2)-1, 2(cd+ab);
2(bd+ac), 2(cd-ab), 2(a^2+d^2)-1].
This formula expresses the relationship between the quaternion q and the rotation matrix R. It allows for the transformation of vectors using quaternion multiplication and provides a way to represent rotations in three-dimensional space using matrices.
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If Jamal treated his family with a family brunch and the brunch costs $250 and the sales tax was 4%. If Jamal left an 18% tip on the $250. How much did he pay in total?
The total amount jamal paid is $305.
Given:
Jamal treated his family with a family brunch at the cost of $250.
The sales tax was 4%.
The tip is 18%.
to find the sales tax.
\(\begin{gathered} =250\cdot4\text{ \%} \\ =250\cdot\frac{4}{100} \\ =\frac{1000}{100} \\ =10 \end{gathered}\)The amount he paid for sales tax is $ 10.
to find the tip.
\(\begin{gathered} =250\cdot18\text{ \%} \\ =250\cdot\frac{18}{100} \\ =\frac{4500}{100} \\ =45 \end{gathered}\)Jamal left a tip of $45.
Thus the total amount paid by Jamal is,
\(250+10+45=305\)Which of the following allows for someone to draw conclusions about a population from the information collected in a population sample? a. magnitude statistics b. central tendency c. inferential statistics d. effect size
The correct answer is c. Inferential Statistics.
Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.
Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.
This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.
Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.
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help! can you guys help me solve it and how can i solve it?
Answer:
y=4/3x+2
Step-by-step explanation:
Go off of y=mx+b
You know from the graph that the slope is 4/3, since it "rises" 4 points and "runs" 3 points.
The y intercept is 2, as you can see on the graph.
Plugging these numbers in, the linear equation made is y=4/3+2
Economic growth typically results in rising standards of living and prosperity. However, it also invites negative externalities such as environmental degradation due to over- exploiting of natural resources. As such, the world is confronted with the dilemma of growth versus environmental sustainability. Developing a model explaining the disparity of economic development concentrating on drivers such as tourism sustainability, technological innovation and the quality of leadership would be important not only to facilitate future economic growth in developing countries, but also to the environmental and sociocultural sustainability which ultimately lead to global sustainable development. The present research objective is to develop and test framework of sustainable development by considering the elements of tourism, technological innovation, and national leadership. This further would facilitate growth, environmental and socio-cultural sustainability. Understanding the integration of these dimensions would enable the building of a Sustainable Development Framework (SDF) that would provide better insight in promoting the SDGS agenda. Ultimately, growth and environmental sustainability can be achieved which will benefit the society, the economy, and nations and of course for future sustainable policy recommendation. Based on the issue above, you are required to propose relevant econometric approaches with the aims to test sustainable development by considering the elements of tourism, technological innovation, and national leadership. Question 1 [10 marks] [CLO2] Based on the scenario above, a. Propose an appropriate model specification based on the scenario above. [4 marks] used in the [4 marks] [2 marks] b. Justify the selection of the dependent and independent variables model. c. Justify the selection of the sample period.
According to the given information, the sample period should be from 2010-2020.
a) Model specification
The model specification based on the scenario above is as follows:
SDF= f(T, TI, NL)
Where: SDF= Sustainable Development Framework
T= Tourism
TI= Technological innovation
NL= National leadership
b) Justification for the selection of the dependent and independent variables model:
Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.
Independent variables:
The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.
The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.
c) Justification for the selection of the sample period:
The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.
Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.
The sample period should be from 2010-2020.
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it’s two multi choice questions please help
Answer:
see below
Step-by-step explanation:
a) They could be congruent because having the same angles doesn't necessarily mean that they are congruent.
b) These triangles are congruent by ASA because using the sum of angles in a triangle they have the same angles and one congruent side.
Answer:
a) F
b) C
Step-by-step explanation:
Brainliest please?
For a) it only tells you all the angles, which makes them similar triangles, but none of the sides are given, so it cannot be determined whether they are congruent.
For b) it is not to scale and using a little subtraction, you can quickly use the fact that there are 180 degrees in a triangle, you can determine that the 2 triangles have the same angles, with the side with 9.2 cm between 58 and 68 degree vertices on both triangles, making the 2 triangles congruent by ASA.
QED
Write all your steps leading to the answers.
A process X(t) is given by X(t)= Acosω_0t+Bsinω_0t, where A and B are independent random variables with E{A}=E{B}=0 and σ^2_A=σ^3_B=1. ω_0, is a constant. Find E{X(t)} and R(t_1, t_2).
The expected value of X(t), E{X(t)}, is 0, indicating that on average, the process X(t) fluctuates around the zero mean. The autocovariance function R(t₁, t₂) is given by R(t₁, t₂) = e^(-ω₀|t₁-t₂|), which signifies that the covariance between X(t₁) and X(t₂) decays exponentially with the difference in time values |t₁-t₂|.
To find E{X(t)}, we need to calculate the expected value of the given process X(t) = Acos(ω₀t) + Bsin(ω₀t), where A and B are independent random variables with mean 0.
E{X(t)} = E{Acos(ω₀t) + Bsin(ω₀t)}
Since E{A} = E{B} = 0, the expected value of each term is 0.
E{X(t)} = E{Acos(ω₀t)} + E{Bsin(ω₀t)}
= 0 + 0
= 0
Therefore, E{X(t)} = 0.
To find R(t₁, t₂), the autocovariance function of X(t), we need to calculate the covariance between X(t₁) and X(t₂).
R(t₁, t₂) = Cov[X(t₁), X(t₂)]
Since A and B are independent random variables with σ²_A = σ²_B = 1, the covariance term becomes:
R(t₁, t₂) = Cov[Acos(ω₀t₁) + Bsin(ω₀t₁), Acos(ω₀t₂) + Bsin(ω₀t₂)]
Using trigonometric identities, we can simplify this expression:
R(t₁, t₂) = Cov[Acos(ω₀t₁), Acos(ω₀t₂)] + Cov[Bsin(ω₀t₁), Bsin(ω₀t₂)] + Cov[Acos(ω₀t₁), Bsin(ω₀t₂)] + Cov[Bsin(ω₀t₁), Acos(ω₀t₂)]
Since A and B are independent, the covariance terms involving them are 0:
R(t₁, t₂) = Cov[Acos(ω₀t₁), Acos(ω₀t₂)] + Cov[Bsin(ω₀t₁), Bsin(ω₀t₂)]
Using trigonometric identities again, we can simplify further:
R(t₁, t₂) = cos(ω₀t₁)cos(ω₀t₂)Cov[A,A] + sin(ω₀t₁)sin(ω₀t₂)Cov[B,B]
Since Cov[A,A] = Var[A] = σ²_A = 1 and Cov[B,B] = Var[B] = σ²_B = 1, the expression becomes:
R(t₁, t₂) = cos(ω₀t₁)cos(ω₀t₂) + sin(ω₀t₁)sin(ω₀t₂)
= cos(ω₀(t₁ - t₂))
Therefore, R(t₁, t₂) = e^(-ω₀|t₁-t₂|).
The expected value of X(t), E{X(t)}, is 0, indicating that on average, the process X(t) fluctuates around the zero mean. The autocovariance function R(t₁, t₂) is given by R(t₁, t₂) = e^(-ω₀|t₁-t₂|), which signifies that the covariance between X(t₁) and X(t₂) decays exponentially with the difference in time values |t₁-t₂|.
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