write the h(z), the transfer function, for the filters described by the following difference equations: a. y[n]=x[n]-3x[n-1] 2x[n-2]-y[n-3] b. y[n]= x[n] x[n-1] x[n-3] x[n-4]-y[n-2]
Answers
The transfer function for this filter is:
H(z) = (1 - 3z^-1 + 2z^-2) / (1 + z^-3)
a. To find the transfer function H(z) for the filter described by the difference equation y[n] = x[n] - 3x[n-1] + 2x[n-2] - y[n-3], we can take the z-transform of both sides and solve for Y(z)/X(z):
Y(z) = X(z) - 3z^-1 X(z) + 2z^-2 X(z) - z^-3 Y(z)
Y(z) + z^-3 Y(z) = X(z) - 3z^-1 X(z) + 2z^-2 X(z)
Y(z) (1 + z^-3) = X(z) (1 - 3z^-1 + 2z^-2)
H(z) = Y(z) / X(z) = (1 - 3z^-1 + 2z^-2) / (1 + z^-3)
Therefore, the transfer function for this filter is:
H(z) = (1 - 3z^-1 + 2z^-2) / (1 + z^-3)
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Related Questions
Someone explain please
Answers
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
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Will give crown! Help
Answers
Answer: The slope is -5/7
Step-by-step explanation:
Slope is rise/run
The rise is -5, and the run is 7
This is why the slope is -5/7
Answer:
The rise is 6 and the run is 7 6/7
She selects 150 trees at random from her orchard and uses this fertilizer on those trees and estimates the following regression: Y
^
i
=600+4.93X i
, where Y
^
i
denotes the predicted number of apricots obtained from the I th tree and X i
denotes the number of units of fertilizer used on the I th tree. A. H 0
:β 1
≥5.14 and H 1
:β 1
<5.14. B. H 0
:β 1
>4.93 and H 1
:β 1
≤4.93. C. H 0
:β 1
=5.14 and H 1
:β 1
=5.14. D. H 0
:β 0
=4.93 and H 1
:β 0
=4.93. Suppose the standard error of the estimated slope is 0.74. The t-statistic associated with the test Wendy wishes to conduct is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.1
Answers
Given statement solution is :- The t-statistic associated with the test is approximately -0.28.
The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.
To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.
The estimated slope coefficient is 4.93.
The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).
The predicted slope's standard error is 0.74.
The formula to calculate the t-statistic is:
t = (estimated slope - hypothesized slope) / standard error
Plugging in the values:
t = (4.93 - 5.14) / 0.74
t = -0.21 / 0.74
t ≈ -0.28 (rounded to two decimal places)
Therefore, the t-statistic associated with the test is approximately -0.28.
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Comparing two algorithms.
Say we have two different algorithms with respective runtimes of f(n) and g(n). Given the following cases, prove whether or not f(n) = ϴ(g(n)) is true in each case. Show your work but with the crucial steps only. P.S. sqrt(n) means the square-root of n, aka n^(½).
Case
f(n)
g(n)
A
log(n^200)
log(n^2)
B
sqrt(n)
log(n)
C
3^n
5^n
D
sin(n)+3
cos(n)+1
Answers
f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).
A) \(log(n^200) log(n^2)\)
Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100
This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.
B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = [sqrt(n) / log(n)]
As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.
C) 3^n 5^n
Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = \([3^n / 5^n]\)
As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.
D) sin(n) + 3 cos(n) + 1
Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]
As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.
Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.
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Find the approximate side length of a square game board with an area of 105in2.
Answers
Answer:
Approximately 10.2 inches
Step-by-step explanation:
The area of a square is given by the formula:
\(A=s^2\)
Where A is the area and s is the side length.
Since we already know that the area A is 105, substitute:
\(105=s^2\)
Now, take the square root of both sides:
\(s=\sqrt{105}\)
Use a calculator:
\(s\approx10.2470\)
So, the side length is approximately 10.2 inches.
if 5 crates of oranges weigh 200 pounds and each empty crate weighs 5 pounds, how many pounds of oranges are there in the five crates?
Answers
The five crates contain 175 pounds of oranges.
We know that the total weight of 5 crates of oranges and the empty crates combined is 200 pounds.
We also know that each empty crate weighs 5 pounds.
Assume that the weight of the oranges in the five crates is "w" pounds. So, the weight of the empty crates is 5 x 5 = 25 pounds.
To find the weight of the oranges, we subtract the weight of the empty crates from the total weight:
200 - 25 = 175 pounds.
Therefore, the weight of the oranges in the five crates is 175 pounds.
Hence, the five crates contain 175 pounds of oranges.
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You just bought a car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11ft by 6.5ft how many square feet of concrete do you need to pour?
Answers
XY is an angle bisector of ΔAXN. Find the length of side XN
Answers
The length of XN is 6
What is the angle bisector theorem?According to the triangle angle bisector theorem, any angle in a triangle will divide the opposite side in a ratio equal to the ratio of the sides that contain the angle.A line or ray that divides an angle in a triangle into two equal parts is known as an angle bisector. The two fundamental characteristics of an angle bisector are that each point on it is equally spaced from its sides and that it divides the opposite side of a triangle in proportion to its adjacent sides, which is known as the triangle's angle bisector property.Calculation
By angle bisector theorem
\(\frac{AX}{NX} =\frac{AY}{NY}\)
\(\frac{18}{NX} =\frac{12}{4}\)
\(NX=\frac{18*4}{12} =6\)
Therefore, the length of side NX in the given triangle is 6.
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The length of side NX in the given triangle is 6.
What is the angle bisector theorem?According to the triangle angle bisector theorem, any angle in a triangle will divide the opposite side in a ratio equal to the ratio of the sides that contain the angle.A line or ray that divides an angle in a triangle into two equal parts is known as an angle bisector.The two fundamental characteristics of an angle bisector are that each point on it is equally spaced from its sides and that it divides the opposite side of a triangle in proportion to its adjacent sides, which is known as the triangle's angle bisector property.By angle bisector theorem
According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures
Therefore, the length of side NX in the given triangle is 6.
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An earthquake measures 5.0 on the Richter scale. Using the formula R=log(A/A0) to determine approximately how many times stronger the wave amplitude A of the earthquake was than A0
Answers
The wave amplitude A of the earthquake was 66.81 times A₀.
We have Richter scale measurement of 4.2.
We have to find approximately how many times stronger the wave amplitude A of the earthquake was than A₀
Simplify the following function -
f(x) = \(e^{log x}\) and express it in single power of x.
Let e^{log x}= z
Taking natural log both sides -
log (e^{log x}) = log (z)
log (x) log (e) = log (z)
log (x) = log (z) { log (e) = 1 }
z = e^{log x} = x
In the question, it is given that -
R = 4.2 and \(R = log\frac{A}{A0}\)
Therefore -
4.2 = \(R = log\frac{A}{A0}\)
Taking exponential on both sides -
A = 66.81
Hence, the wave amplitude A of the earthquake was 66.81 times .
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Will give brainlist!!
Answers
Answer:
D because if we see the graph the 6 grades has alot of variety, well more than the 8 grades
Can someone help me please this is my last one
Answers
Answer:
Domain and range: [0, ∞)
Step-by-step explanation:
There is no limit to the number of concert tickets someone can buy, but there cannot be negative concert tickets. The domain, or what the input can be, is [0, ∞) as it can be greater than or equal to 0
The range is the total cost, or what the output can be. Since the total cost is the number of tickets multiplied by 55 (as it is $55 per ticket), this can be represented by 55 * number of tickets. The total cost cannot be negative, but it can be 0 if no one buys tickets. As there is no limit to the amount of tickets someone can buy, there is no limit to what the total cost could be, making the range [0, ∞)
The figure above shows the graphs of the circles x^2 + y^2 = 2. What is the radius of the larger circle?
a) √2 b) 2 c) √4 d) 4
Answers
The figure above shows two circles, one inside the other. The equation x^2 + y^2 = 2 represents the smaller circle, while the larger circle is not explicitly defined in the question.
However, we can see from the graph that the center of both circles is at the origin (0,0) and that the larger circle has a radius twice as big as the smaller circle.
Therefore, the radius of the larger circle is 2 times the radius of the smaller circle, which is the square root of 2. So the answer is (a) √2.
The given equation of the circle is x^2 + y^2 = 2. To find the radius of this circle, we can rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
In this case, the equation is already in the standard form with h = 0, k = 0, and r^2 = 2. Therefore, the radius of the larger circle is r = √2. So, the correct answer is a) √2.
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what are the missing numbers?
Answers
May 23, 9:51:53 AM If f(x)= √x+2 / 6x, what is the value of f(4), to the nearest hundredth (if necessary)?
Answers
We are given the function f(x) = √(x+2) / (6x) and we need to find the value of f(4) rounded to the nearest hundredth. The explanation below will provide the step-by-step calculation to determine the value of f(4).
To find the value of f(4), we substitute x = 4 into the given function. Plugging x = 4 into the function f(x), we have f(4) = √(4+2) / (6*4). Simplifying the expression inside the square root, we get f(4) = √6 / 24. To evaluate this further, we can simplify the square root by noting that √6 is approximately 2.45 (rounded to two decimal places). Substituting this value back into f(4), we have f(4) ≈ 2.45 / 24. Finally, dividing 2.45 by 24, we obtain f(4) ≈ 0.10 (rounded to two decimal places).
Therefore, the value of f(4), rounded to the nearest hundredth, is approximately 0.10.
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Given f (x)= -x (x + 6), what is f (-3)?
Answers
Answer:
9
Step-by-step explanation:
The circumference of a circle is 12.56 millimeters. What is the circle's radius?
C=12.56 mm
Use 3.14 for .
Answers
The radius of the circle is 2mm
How to determine the circumferenceIt is important to note that the formula that is used for calculating the circumference of a circle is expressed with the equation.
The equation is written as;
C = 2πr
Such that the parameters are;
C is the cicumference of the circle.r is the radius of the circle.πtakes the constant value of 22/7From the information given, we have thatt;
The radius of the circle = r
The circumference = 12.56mm
Substitute the values, we have;
12. 56 = 2×3.14r
Multiply the values
r = 12. 56/6. 28
divide the values
r = 2mm
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Determine the missing measure in the triangle with the given angle measures.
5x° 90°, 16.5
Answers
Answer:
14.7, because 5x + 90 + 16.5 =180
so 180-90-16.5=5x
x= 14.7
¿La raíz cuadrada de x por 523 = -43?
Answers
It is impossible for the square root of x multiplied by 523 to equal -43.
To determine if the square root of x multiplied by 523 equals -43, follow these steps:
Step 1: Write the equation as given: √x * 523 = -43
Step 2: Isolate the square root of x by dividing both sides of the equation by 523:
√x = -43 / 523
However, this is where we encounter a problem.
The square root of any real number cannot result in a negative value.
Therefore, it is impossible for the square root of x multiplied by 523 to equal -43.
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Find the difference. Write your answer as a decimal.
$5.5-8.1=$
Answers
What can you say about the end behavior of the function f(x) = -4x^6 +6x^2-52?
Answers
The true statement about the end behavior of f(x) is (b)
How to determine the end behavior?The equation of the function is given as;
f(x) = -4x^6 +6x^2-52
The leading coefficient of the above function is
Leading coefficient = -4
-4 is less than 0 i.e. negative
This means that options (a) and (c) are false
Also;
The ends of even functions face the same direction, and not opposite directions.
Hence, the true statement about the end behavior of f(x) is (b)
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Several friends (Calvin, Dean, Kelli, and Lee) went to Cal's Late Night Diner for a bite to eat. Match each person to their drink (Iced tea, Lemonade, Root Beer, and Water) and determine how much each paid ($4.99, $5.99, $6.99, and $7.99) for their meal.
Clues:
1. The Diner who paid $4.99 was either Calvin or the one who got the Root Beer.
2. Kelli paid $6.99
3. The one who got the water paid 1 dollar less than Dean.
4. Calvin paid more than Lee.
5. The one who got the Root beer paid 1 dollar less than the one who got the Iced Tea.
Answers
Based on the given clues, we can determine the person, drink, and price paid for each individual:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
How to determine how much each friends paidFrom clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.
From clue 2, Kelli paid $6.99.
From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.
From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.
Therefore, the final assignments are:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
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Which ordered pair is a solution of thisequation?8x + 7y = -50Click on the correct answer.(-6,-1)(0,-6)(-6,0)(-1,-6)
Answers
Given the equation:
8x + 7y = -50
We will check the options to find which order pair is the solution of the equation
Point (-6 , -1)
8 * -6 + 7 * -1 = -48 - 7 = -55 ≠ -50
Point ( 0 , -6)
8 * 0 + 7 * - 6 = -42 ≠ -50
Point (-6, 0 )
8 * - 6 + 7 * 0 = -48 ≠ -50
Point (-1 , -6)
8 * -1 + 7 * -6 = -8 - 42 = -50
so, the order pair which is a solution for the equation is (-1 , -6 )
A student lives 3 miles from the library . He is riding his bike to the library . The distance he has remaining y is a function of how long he has been riding his bike
Answers
Would the answer be 6? or 9?
Geometry work || please look at picture to answer :)
Answers
sin 45° = 25/y
(√2)/2 = 25/y
y√2 = 2 × 25
y√2 = 50
y = 50/√2
y = 25√2
so the correct answer is 25sqrt2
Ok but... what's 6+6? i've been stuck on this forever and i can't see to find the answer. 0-0
Answers
Answer:
12
Step-by-step explanation:
statistical power is a measure of the ability to reject the null hypothesis when:
Answers
Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.
A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.
Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.
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Use Pythagorean theorem....
I remember doing this but I forgot how.
Answers
Answer:
x = 41
Step-by-step explanation
9^2 + 40^2 = x^2
81 + 1600 = 1682
square root of 1681 = 41
x = 41
..............................help
Answers
\(F = \frac{9}{5} c + 32\)
This Equation Is Used For Conversion Of Celcius To Fahrenheit.
Hope This Helps You ❤️Answer: Uhmm ok the answer i got would have been F = C x 9/5 + 32 But since there isn't a choice like that I think it's the second one- its the closest to what i got--
Step-by-step explanation:
Gavin is moving into a new apartment that has a kitchen with a area of 50 ft.² if the area of the kitchen is 10 feet more than 1/3 the area of the bedroom where is the area of the bedroom complete the steps below to find the area of golf his bedroom but the variable B represent the area of the bedroom by any Quetion in terms of be to represent Galvin situation
Answers
The area of Gavin's bedroom is 120 square feet.
What is a square feet?
Square feet can be defined as the area of a square with sides of 1 foot.
Let B be the area of Gavin's bedroom in square feet.
According to the problem, the area of Gavin's kitchen is 10 square feet more than one-third of the area of his bedroom. So we can write:
Area of kitchen = (1/3)B + 10
We also know that the area of the kitchen is 50 square feet. So we can set up an equation:
(1/3)B + 10 = 50
Subtracting 10 from both sides, we get:
(1/3)B = 40
Multiplying both sides by 3, we get:
B = 120
Therefore, the area of Gavin's bedroom is 120 square feet.
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I suck at math please help!
Answers
Answer:
62
Step-by-step explanation:
the triangles angles always add up to 180 degrees
66+52=118
180-118=62
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