(a) For the sequence x1[n], the conjugate symmetric part (xs[n]) is {-2.5 + j4, 2.5 - j6, 4, 2.5 + j6, -1.5 - j2}, and the conjugate antisymmetric part (xa[n]) is {0, -j7, 0, j7, 0}.
(b) For the sequence x2[n], both the conjugate symmetric part (xs[n]) and conjugate antisymmetric part (xa[n]) are empty sets.
(c) For the sequence x3[n], both the conjugate symmetric part (xs[n]) and conjugate antisymmetric part (xa[n]) are empty sets.
To determine the conjugate symmetric and conjugate antisymmetric parts of a sequence, we need to perform the following calculations:
(a) For the sequence x1[n] = {-1+j3, 2-j7, 4-j5, 3+j5, -2-j}, -2 ≤ n ≤ 2:
The conjugate symmetric part (xs[n]) can be calculated as:
xs[n] = (x[n] + x*[-n])/2
The conjugate antisymmetric part (xa[n]) can be calculated as:
xa[n] = (x[n] - x*[-n])/2j
Let's calculate them step by step:
For n = -2:
xs[-2] = (x[-2] + x*[2])/2 = (-1+j3 - 4+j5)/2 = (-5 + j8)/2 = -2.5 + j4
xa[-2] = (x[-2] - x*[2])/2j = (-1+j3 - 4+j5)/(2j) = (j2 - j2)/2 = 0
For n = -1:
xs[-1] = (x[-1] + x*[1])/2 = (2-j7 + 3-j5)/2 = (5 - j12)/2 = 2.5 - j6
xa[-1] = (x[-1] - x*[1])/2j = (2-j7 - 3+j5)/(2j) = (-j2 - j12)/2 = -j7
For n = 0:
xs[0] = (x[0] + x*[0])/2 = (4-j5 + 4+j5)/2 = 4
xa[0] = (x[0] - x*[0])/2j = (4-j5 - 4+j5)/(2j) = 0
For n = 1:
xs[1] = (x[1] + x*[-1])/2 = (3+j5 + 2+j7)/2 = (5 + j12)/2 = 2.5 + j6
xa[1] = (x[1] - x*[-1])/2j = (3+j5 - 2-j7)/(2j) = (j2 + j12)/2 = j7
For n = 2:
xs[2] = (x[2] + x*[-2])/2 = (-2-j + -1-j3)/2 = (-3 - j4)/2 = -1.5 - j2
xa[2] = (x[2] - x*[-2])/2j = (-2-j - -1+j3)/(2j) = (-j2 + j2)/2 = 0
Therefore, for the sequence x1[n], we have:
Conjugate symmetric part (xs[n]) = {-2.5 + j4, 2.5 - j6, 4, 2.5 + j6, -1.5 - j2}
Conjugate antisymmetric part (xa[n]) = {0, -j7, 0, j7, 0}
(b) For the sequence x2[n] = ej2πn/5 + ejπn/3:
Since this sequence is a complex exponential sequence, it does not contain any conjugate symmetric or conjugate antisymmetric parts. In other words, both xs[n] and xa[n] will be empty sets.
Conjugate symmetric part (xs[n]) = {}
Conjugate antisymmetric part (xa[n]) = {}
(c) For the sequence x3[n] = jcos(2πn/7) - sin(2πn/4):
Similarly, since this sequence is a combination of cosine and sine functions, it does not have any conjugate symmetric or conjugate antisymmetric parts.
Conjugate symmetric part (xs[n]) = {}
Conjugate antisymmetric part (xa[n]) = {}
In conclusion:
(a) For the sequence x1[n], the conjugate symmetric part (xs[n]) is {-2.5 + j4, 2.5 - j6, 4, 2.5 + j6, -1.5 - j2}, and the conjugate antisymmetric part (xa[n]) is {0, -j7, 0, j7, 0}.
(b) For the sequence x2[n], both the conjugate symmetric part (xs[n]) and conjugate antisymmetric part (xa[n]) are empty sets.
(c) For the sequence x3[n], both the conjugate symmetric part (xs[n]) and conjugate antisymmetric part (xa[n]) are empty sets.
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Kevin made 26 Halloween treat bags in seven minutes if he continues to work at the same rate, about how long will it take him to make 100 treat bags?
Answer: 1 hour and a half
Step-by-step explanation:
Multiply monomials by polynomials
-4w(w^2 - 9) = ?
use the vertical line test to determine if the following is a function
Answer:
the answer is yes
Step-by-step explanation:
hope this helps
Jaylen read 14% of the items on his recommended reading list. Todd read 1 out of 7 items on his list. Who read a greater percentage of his reading list?
Answer:
Todd (but only by like 0.2%)
Step-by-step explanation:
If you convert 1/7 to a percentage(by multiplying it by 100)
you get 14.285%
Round this off and you get 14.3%
8. Solve 3x = -27.
F 30
G-9
J 81
Answer: G. -9
Step-by-step explanation: -27/3 = -9
Which graph shows a relationship that is directly proportional?
Answer:
The graph with the line passing through zero is the proportional one.
Step-by-step explanation:
Juan started his bank account with a $100 deposit and put in $38 a week. What is the formula for calculating how much money is in his bank account?
Answer:
[tex]M=38w+100[/tex]
Step-by-step explanation:
We can model this as a linear equation where the money in his account is [tex]M[/tex], the initial deposit is [tex]d[/tex] and the # of weeks is [tex]w[/tex].
Then we set up equation as:
[tex]M = aw + d[/tex]
Where [tex]a[/tex] is how much money he puts in per week.
So putting in values we have:
[tex]M=38w+100[/tex]
Let J(x) = formula for calculating the amount of money Juan will have in the bank after a certain number of weeks.
J(x) = 100 + 38x
Help me please this is confusing!
Answer:
for #2 0.45
Step-by-step explanation:
Find the value of x.
x = 7
x = 5
x = 16
x = 34
Smith, Ulaysia An architect creates a blueprint using a scale of 1 inch = 3.5 ft. If the actual length of a patio is 21 feet, how long will the patio's length appear in the blueprint?
Answer:
0.5 in.
Step-by-step explanation:
The loudness of a lawnmower is measured in decibels, modeled by the formula 90 = 10 log (StartFraction I Over I Subscript 0 Baseline EndFraction). What does 90 represent?
the initial loudness of the lawnmower
how loud the sound of the lawnmower is
the intensity of the sound of the lawnmower
the intensity of the sound of the lawnmower compared to the intensity of sound that is barely audible
Answer:
c. Intensity of the lawnmower
Step-by-step explanation:
Given
[tex]90 = 10log(\frac{I}{I_o})[/tex]
Required
What does 90 represent
In sound, intensity I (db) is calculated as:
[tex]I\ (db) = 10log(\frac{I}{I_o})[/tex]
Comparing the general formula to the given expression, we have that:
[tex]I\ (db) = 90[/tex]
This implies that 90 represents the sound intensity of the lawnmower.
Option C answers the question
the intensity of the sound of the lawn mower
Step-by-step explanation:
edge 2022
If f(x) = 3x + 3, find f(1)
Answer:
6
Step-by-step explanation:
plug in 1 for x and solve
f(1) = 3(1) + 3 = 3+ 3= 6
What is the value of the expression?
8 1/2 - 2 + 4 2/3
Answer:
Step-by-step explanation:
The answer is 11 1/4
also if you know someone who has brainly plus can you tell them if I can use it for 1-2 days for edgeunity i'll give them 25 points possibly more
Last year, Eric grew 48 tomatoes in his garden. This year, he grew 7/8 of that number of tomatoes in his garden. Which statement is true?
A. Eric grew 7 times the number of tomatoes this year that he grew last year
B. Eric grew slightly fewer tomatoes this year than he did last year
C. Eric grew 8 times the number of tomatoes this year that he grew last year
D. Eric grew half as many tomatoes this year as he grew last year
Triangles ABC and DEF are similar
a.find the length of segment DF
b.find the length of segment EF
Answer:
DF=2.68
Step-by-step explanation:
Given that the triangles, ABC and DEF are similar to each other, applying the theorem of similar triangles, the length of:
a. Segment DF = 2.68
b. Segment EF = 2.01
Recall the following about Triangles that are similar:
Similar triangles have side lengths that are proportional to each other.The ratio of their corresponding three side lengths are the same.Thus:
Given that [tex]\triangle[/tex]ABC and [tex]\triangle[/tex]DEF are similar, therefore:
AB/DE = BC/EF = AC/DF
Length of Segment DF:
Using AB/DE = AC/DF,
AB = 2
AC = 4
DE = 1.34
DF = ?
Substitute[tex]\frac{2}{1.34} = \frac{4}{DF}[/tex]
Cross multiply and solve for DF[tex]\frac{2}{1.34} = \frac{4}{DF}\\\\DF = \frac{4 \times 1.34}{2} \\\\\mathbf{DF = 2.68}[/tex]
Length of Segment EF:
Using AB/DE = BC/EF,
AB = 2
BC = 3
DE = 1.34
EF = ?
Substitute[tex]\frac{2}{1.34} = \frac{3}{EF}[/tex]
Cross multiply and solve for EF[tex]\frac{2}{1.34} = \frac{3}{EF}\\\\EF = \frac{3 \times 1.34}{2} \\\\\mathbf{EF = 2.01}[/tex]
Therefore, given that the triangles, ABC and DEF are similar to each other, applying the theorem of similar triangles, the length of:
a. Segment DF = 2.68
b. Segment EF = 2.01
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12 -5x 12 2= equals what
Answer:
so assuming you mean 12-5x+12^2 the simplified form of the expression would be 156-5x
Step-by-step explanation:
if this want what you meant let me know and I will try to help
what is quadratic inequality
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆
Step-by-step explanation:
quadratic equation is an equation of second degree that use an initially sign in stand of equal sign the solution of quadratic inquality always give the two root
Answer:
It's inequality where you have the unknown with exponent 2 and no higher exponents.For example:
[tex]x^2-5x+3<0\\\\4x>5x^2+1\\\\4x^2-1\geqslant0\\\\5\leqslant-10x^2[/tex]
These are NOT quadratic inequalities:
[tex]x^3-5x+3<0\\\\4x^2>5x^5+1\\\\4x^2-x^6\geqslant0\\\\5\leqslant-10x[/tex]
Please help I’ll give brainiest.
Answer:
h(3) = -4
h(-3) = -16
Step-by-step explanation:
Step 1: Define
h(x) = 2x - 10
h(3) = x = 3
h(-3) = x = -3
Step 2: Substitute and Evaluate
h(3) = 2(3) - 10
h(3) = 6 - 10
h(3) = -4
h(-3) = 2(-3) - 10
h(-3) = -6 - 10
h(-3) = -16
Solve the absolute value inequality.
|1x + 7|> 3
Answer: x>−4 or x<−10
Step-by-step explanation:
brainliest plzz:)
An environmental agency studying the effects of drought on a lake found that the water level decreased at a constant rate during the first few months of the drought. When the agency began its research, the depth of the lake was 346 feet. The table represents the agency’s susequent observations about the lake's depth.
Which equation represents the depth of the lake, y, based on the number of weeks passed, x?
Answer:
· An environmental agency studying the effects of drought on a lake has found that the water levels in the lake are decreasing at a constant rate during the initial few months of the drought. The equation y = -0.6x + 346 represents the depth of lake (y) based on the number of weeks passed (x). What does the y-intercept represent in this scenario? A the depth of the lake at the beginning
Step-by-step explanation:
hopes this helpes you
Consider the following polynomial expression: 4x^5-16x^2+13x^8. Part B: What is the degree of the polynomial
Answer:
8
Step-by-step explanation:
Step 1: Write polynomial
4x⁵ - 16x² + 13x⁸
Step 2: Rearrange
13x⁸ + 4x⁵ - 16x²
The degree of a polynomial is the highest power. In this case, our degree would be 8 because of the x⁸ term being the largest exponent.
5.8x + 4 + = 1.8x + 28 what is the value of x
Answer:
X = 6
Step-by-step explanation:
First we need to get the x values on one side, and the numbers without the variable on the other:
Subtract 1.8x to the left side, and 4 to the right side.
Now we have 4x = 24.
24/4 = 6.
x= 6. :)
Which property let’s you regroup numbers that are being added or multiply
a cost of the movie ticket price went up by 15 percent and the origanal price is 8 dollers how much are the tickets now
Answer:
$9.2 dollars
Step-by-step explanation:
8 + 15% is 1.2, add that and you get $9.2
Hey does anyone know what..
4 2/5 divided by 1/4
can anyone help??
Answer:
Alright, we have 4 2/5 / 1/4.
First of all, let's convert the mixed number into an improper fraction.
4 2/5 = 22 / 5
Dividing something by 1/4 is the same as multiplying it by 4.
22 / 5 * 4
This is 88 / 5 :)
Answer:
88/5 = 17 3/5
Step-by-step explanation:
Find the common denominator and simplify. hope it helped.
Maria has a cube-shaped box that measures 9 inches along each edge. Can she fit 1,000 square-inch cubes inside the box? Explain.
Answer:
No, she cannot fit it into the box
Step-by-step explanation:
The way to know is this is simply find the total surface area of the cube. This helps to know the capacity of the cube.
From the question, the side length of the cube is 9 inches;
Mathematically, the area of a cube is 6l^2
Thus, the total surface area of the cube = 6 * 9 * 9 = 486 square inches
Seeing that what she is trying to fix is less than the total surface area, then we can say that she cannot fix 1,000 square-inch cubes inside the box
why are these triangles congruent?
Which function is graphed?
A f(x)=x−1
B f(x)=−1
C f(x)=1
D f(x)=x+1
Answer:
It is b
Step-by-step explanation:
I graphed all of them
The answer is B.
f(x) = x-1 will give you a graph of linear function also known as "line"
f(x) = -1 will give you the exact graph like the picture. It's the graph of constant function.
f(x) = 1 will give you a graph of constant function like f(x) = -1. However the graph passes (0,-1) , not (0,1)
f(x) = x+1 will give you a graph of linear function.
Linear Function doesn't give you either vertical or horizontal line except for constant one.
HELPPPP 7th GRADE WORKLK!!! ILL BRAINLIST
Answer:
so... 18 / 2/3 =
I honestly think it's c.
4 questions.
1. what is the place value of the 0 in 104.037?
2. solve 8.05 x 10x10
3. solve 8.05 x 10x10x10
4. solve 8.06 x 10x10x10x10
Answer:
1. always zero
2. 805.0
3. 8050.0
4.80600.0
Step-by-step explanation:
1.always zero
2. 8.05 x 100 = 805.0
3. 8.05 x 1000 = 8050.0
4. 8.06 x 10000 = 80600.0
