(2-2)({-2) = (²)H N Question Consider a discrete-time system given by: 2 H(z) = (2-3) (²-4) Find the difference equation that relates the input x[n] to the output y[n]
Answers
The discrete-time system is represented by the difference equation: `y[n] = (2/3)y[n-1] - (4/3)y[n-2] + 2x[n] - 2x[n-2]`.
Given,`2 H(z) = (2-3) (²-4)`or,`H(z) = [(2-3)/(1-2)] [(z-2)(z+2)/(z-2)(z+2)]`Here, z=2 or z=-2 causes the numerator to become zero which in turn causes the system to become unstable, therefore, we can conclude that this system is unstable.Since, the system is not stable and hence the given input-output relation is only of theoretical interest. However, assuming that the system is stable, we can determine the difference equation relating the input x[n] to the output y[n].
As the system function is a rational function, by partial fraction expansion, we can write `H(z)` as:`H(z) = 1 + (1/2) [(z-2)/(z+2)] + (1/2) [(z+2)/(z-2)]`By applying inverse z-transform we get:`h[n] = δ[n] + (1/2) [(-2)^n u[n-2] + 2^n u[n-2]]`where, `u[n]` is the unit step function. The output y[n] can be expressed as:`y[n] = x[n]*h[n] = x[n] + (1/2) [x[n-2] (-2)^n + x[n-2] 2^n]`Thus, the difference equation relating the input x[n] to the output y[n] is given by:`y[n] = (2/3)y[n-1] - (4/3)y[n-2] + 2x[n] - 2x[n-2]`The above difference equation is not valid for the given system because the system is unstable, therefore the given input-output relation is only of theoretical interest.
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Related Questions
Electrically heated draw batch furnaces are commonly used in the heat treatment industry. Consider a draw batch furnace front made of a 20-mm thick steel plate with a thermal conductivity of 25 W/m·K. The furnace is situated in a room with surrounding air temperature of 20°C and an average convection heat transfer coefficient of 10 W/m2·K. If the inside surface of the furnace front is subjected to uniform heat flux of 5 kW/m2 and the outer surface has an emissivity of 0.30, determine the inside surface temperature of the furnace front in K. (Round your answer up to 2 decimal places.)
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Answer:idek
Explanation:u
Why is it important to understand email netiquette?
Answers
Answer:
Email etiquette is important
Explanation:
It is important to understand how to use correct email etiquette because it helps you communicate more clearly. It also makes you seem a bit more professional too. For example depending in who you're emailing like say you're emailing your teacher for help then here's how it'd go:
Dear(teacher name, capitalize, never use first name unless they allow it)
Hello (teacher name), my name is (first and last name) from your (number class) and I was wondering if you could please help me out with (situation, be clear on what you need help with otherwise it won't get through to them)? If you could that would be greatly appreciated!
Sincerely,
(your name first and last)
What is the primary reason traffic laws exist ?
Answers
Answer:
It's to ensure a driver's safety.
Block B has a mass of 27g and a density of 0.9 g/mL. What is the volume of block B? Will it float in water? (density of water is 1.0 g/mL) Don't forget the units.
Answers
m = 27g
d = 0.9 g/mL
v = m/d
v = 27/0.9
v = 30 mL
volume is 30 mL
What happens when you pluck a guitar string?
A. The string stops air molecules from vibrating.
B. The string vibrates and makes a sound.
C. The string makes a column of air longer.
D. The string echoes.
Answers
Answer:
When you pluck a guitar string, the middle of the string bounces up and down wildly. Over time, the tension on the string causes the string to move more regularly and more gently until it finally comes to rest. ... Low frequency strings are looser, and vibrate longer.
Question 2 (11 Marks) James started a kiosk business in 2021 whose main product was milk. Suppose James started the business from his own premises from which his rental earning was AUD 3,000 per month. The table below represents James’ April 2021 business summary: Item Cost 1 Milk truck AUD 40,000 Milk stainless cans AUD 20,000 Milk cooler AUD 10,000 2 litre milk packs (Number of packs bought depend on demand. Assume this is the average expenditure per month) AUD 40,000 Milk production per day 500 litres Note: Assume 56,000 litres are produced per month. Also assume all the milk produced is bought Use the table to answer the questions below. a.Calculate James’s fixed cost and average fixed cost. (2 Marks) b.Calculate James’s variable cost and avarege variable cost c.Assume James sells milk at AUD 2 per litre. Calculate John’s accounting profit and economic profit for the month of January
Answers
James’s fixed cost is AUD 73,000 and average fixed cost is AUD 1.3036 per liter. James’s variable cost is AUD 40,000 per month and average variable cost is AUD 0.7143 per liter . There will be no accounting profit and economic profit for the month of January instead there will be loss.
James's fixed costs consist of the rental earnings from his premises, which is AUD 3,000 per month, the cost of the milk truck (AUD 40,000), milk stainless cans (AUD 20,000), and milk cooler (AUD 10,000). Therefore, the total fixed cost is AUD 3,000 + AUD 40,000 + AUD 20,000 + AUD 10,000 = AUD 73,000. The average fixed cost can be calculated by dividing the total fixed cost by the quantity of milk produced per month. In this case, the average fixed cost would be AUD 73,000 / 56,000 liters = AUD 1.3036 per liter.
The variable cost is represented by the expenditure on 2-litre milk packs, which is given as AUD 40,000 per month. The average variable cost can be calculated by dividing the variable cost by the quantity of milk produced per month. In this case, the average variable cost would be AUD 40,000 / 56,000 liters = AUD 0.7143 per liter.
To calculate James's accounting profit for January, the revenue from milk sales needs to be determined. Assuming the price of milk is AUD 2 per liter, the revenue can be calculated by multiplying the quantity of milk produced (56,000 liters) by the selling price (AUD 2). Therefore, the revenue for January would be AUD 2 * 56,000 liters = AUD 112,000.
James's accounting profit can be calculated by subtracting the total cost (fixed cost + variable cost) from the revenue. In this case, the accounting profit would be AUD 112,000 - (AUD 73,000 + AUD 40,000) = AUD -1,000.
To calculate James's economic profit, the opportunity cost of using his own premises needs to be considered. Since James was earning AUD 3,000 per month from rental, this amount needs to be deducted from the fixed cost. Therefore, the economic profit would be AUD -1,000 - AUD 3,000 = AUD -4,000.
Overall, James's accounting profit for January is AUD -1,000, and his economic profit is AUD -4,000. These figures indicate that the business is incurring losses for the month of January.
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A two-dimensional flow field described by
V = (2x^2y + x)1 + (2xy^2 + y + 1 )j
where the velocity is in m/s when x and y are in meters. Determine the angular rotation of a fluid element located at x 0.5 m, y 1.0 m.
Answers
Answer:
the answer is
Explanation:
We now focus on purely two-dimensional flows, in which the velocity takes the form u(x, y, t) = u(x, y, t)i + v(x, y, t)j. (2.1) With the velocity given by (2.1), the vorticity takes the form ω = ∇ × u = ∂v ∂x − ∂u ∂y k. (2.2) We assume throughout that the flow is irrotational, i.e. that ∇ × u ≡ 0 and hence ∂v ∂x − ∂u ∂y = 0. (2.3) We have already shown in Section 1 that this condition implies the existence of a velocity potential φ such that u ≡ ∇φ, that is u = ∂φ ∂x, v = ∂φ ∂y . (2.4) We also recall the definition of φ as φ(x, y, t) = φ0(t) + Z x 0 u · dx = φ0(t) + Z x 0 (u dx + v dy), (2.5) where the scalar function φ0(t) is arbitrary, and the value of φ(x, y, t) is independent of the integration path chosen to join the origin 0 to the point x = (x, y). This fact is even easier to establish when we restrict our attention to two dimensions. If we consider two alternative paths, whose union forms a simple closed contour C in the (x, y)-plane, Green’s Theorem implies thatWhat does it mean to say that PEER is a data-driven, consumer-centric, and comprehensive system?
Answers
Answer:
PEER establishes clear performance metrics, it serves consumer needs, and it covers all aspects of energy system performance.
Explanation:
on edg. just did it
A(94,0,14) B(52,56,94) C(10,6,48) D(128,64,10)
The goal of the assignment is to apply methods of transforming orthogonal projections to solving metric problems.
The coordinates of four points ABCD are given (see next table). Determine the following values by transforming projection planes:
• 1. The size of the dihedral angle at the edge AB.
• 2. The shortest distance between ribs DA and BC.
• 3. Distance from vertex D to plane ABC.
• 4. Natural size of triangle ABC.
An example how to complete the task is shown after the table
Answers
9514 1404 393
Answer:
see below
Explanation:
We presume the drawing you want is contained in the figure you attached. The true sizes are identified with corresponding numbers.
Without your example, or your given methods of transforming projections, it is difficult to tell exactly how you want to compute the various distances or sizes.
You are the curator of a museum. The museum is running short of funds, so you decide to increase revenue. Should you increase or decrease the price of admission? Explain
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Answer:
Explanation:
If the museum is running short of funds, and you decide to increase revenue. An increase or decrease in the price of admission into the museum depends on the following:
1. If demand for admission into the museum is elastic there are two possible outcomes
a. An increase in the price of admission leads to a decrease in the quantity demand of admission into the museum
b. A decrease in price of admission into the museum leads to an increase in the quantity demand of admission into the museum.
This follows the law of demand which states that "the higher the price, the lower the quantity demanded and the lower the price, the higher the quantity demanded".
2. If the demand for admission into the museum is inelastic, then an increase in price will lead to an increase in revenue of the museum.
Therefore, before the curator increase the price of admission into the museum, he should first determine the price elasticity of demand of the museum.
the joint force engineer manages several engineering functions which include:
Answers
The correct answer is The combined force engineer oversees a number of engineering tasks, such as: (1) Scheduling and directing the execution of.
The Air Force and Navy are basically the only branches that offer major computer science work, despite the fact that all branches offer information technology training and professions that are excellent prerequisites for the hard-core business of computer science.
These professionals design, create, evaluate, and write programmes that are essential to our ability to wage war. They make sure we have the software and programmes required to carry out our duties successfully, from maintenance tracking applications to tools that organise and show intelligence data. Finding your first job can be challenging if you want to work as a software developer. Getting an interview involves a number of criteria.
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Kim deposits her annual bonus into a savings account that pays 8% interest compounded annuallyThe size of her bonus increases by $2,000 each year, and the initial bonus amount is $5,000. Determine how much will be in the account immediately after the fifth deposit
Answers
The amount that would be in Kim's account immediately after the fifth deposit would be $50,998.0
How to find the amount that would be in the accountWe have the amount in Year 0 to be the first deposit. This is given as $5000.
The formula used to calculate this is
P x (1+r) + T
Where P = principal
r = interest rate, hence 1 + 8% = 1.08
T is the increases of 2000
The bonus is said to increase by 2000 every year
2000 + 5000 = $7000
In year 1.
5000 x 1.08 + 7000
= 12,400
In year 2 add 2000 to 7000
(12,400 * 1.08) + 9000
= 22,392
Do the same for year 3
(22,392 * 1.08) + 11,000
= 35,183.36
Do the same for the 4th year
(35,183.36 * 1.08) + 13,000
= $50,998.0288
Therefore we can see that after the deposit is done 5 times the account would have $50,998.02 in it
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where can warnings and cautions be found in service library?
wiring information
Answers
Warnings and cautions are found in the product's instructional manual of the service library.
What is a product?A product is referred to as finished goods ready to present in the market with the purpose of selling and seeking growth and improvement. A product is tangible to use and feel by the consumer.
Warning and cautions related to the products should be written in palce that is easily visible to the consumer to avoid any hazardous effect. This includes in the instructional manual of any product.
The instructional manual of the product contains information about the product like its purpose to serve the audience. It also mentions the usage of the product.
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People tend to self-disclose to others that are in age, social status, religion, and personality.
Answers
Answer:people tend to do this when they are in a different environment they lose something or just have something going on in their life
Explanation:
1.What is three phase? why it is needed?
2. What is the condition to be balanced? Write down voltage equation of a balanced 3 phase voltage source and draw their phasor diagram.
Answers
1. We can see here that three phase refers to a type of electrical power transmission that uses three alternating current (AC) waveforms that are 120 degrees out of phase with each other. This is different from single-phase power transmission, which uses only one AC waveform.
What is voltage?Voltage, also known as electric potential difference, is a measure of the electrical potential energy per unit of charge in an electrical circuit. It is defined as the amount of work required to move a unit of electric charge between two points in a circuit, typically measured in volts (V).
Three-phase power is needed because it allows for more power to be transmitted over a given amount of wire or cable. With three-phase power, the power is delivered in a more consistent manner, which means that there is less voltage drop over long distances.
2. In order for a three-phase system to be balanced, the three phases must have the same amplitude and be 120 degrees out of phase with each other. The voltage equation of a balanced three-phase voltage source is given by:
Vph = Vline / √3
where Vph is the phase voltage and Vline is the line voltage. The phasor diagram for a balanced three-phase system shows three sinusoidal waveforms that are displaced by 120 degrees from each other.
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If the circuit current is 3 A, what is the value of R3?
72 volts
R1= 36Ω
R2= 50 Ω
R3=?
Answers
Answer:
22 Ω
Explanation:
0) to re=write the given schema;
1) to write common equation of U[V];
2) to calculate the value of the current I₁ [A];
3) to write the common equation of current I [A];
4) to calculate the value of the current I₂₃ [A];
5) to calculate the value of R₃ [Ω] using the common equation of U.
Need help solving math problem using integration
Answers
Si b es un ángulo en posición estándar en un sistema de coordenadas rectangulares y si P(-18, -18) está en el lado terminal de b. Encuentre el seno de b.
Answers
Answer:
sorry I don't speak your language sorry
# Structure Mechanics.
Draw the internal force (axial force, shear force and moment) diagrams of the frame.
Answers
Help me!!
Within the processes of a power plant, combustion product gases are available at 430 ºC. It is required to take advantage of the heat of these gases and it is proposed to size an economizer to heat pressurized water from 70ºC to 180ºC.
It is known that there is 8 kg/s of water with Cp=4260 J/kg.K. The gases have a flow of 30 kg/s and Cp=1100 J/kg.K. Calculate:
a) the heat that can be transferred from the gases to the water, in kW.
b) the outlet temperature of the combustion gases, in ºC.
b) the average logarithmic difference of temperatures of the economizer, in ºC.
c) the required heat transfer area in m2, for a counterflow configuration if the overall heat transfer coefficient is 60 W/m2 K.
d) If you plan to use a coil of tubes 4 m long and 15 cm in diameter, calculate the number of tubes needed for the economizer.
Answers
Answer: System Consists Of 1 Kg Of CO2 (Cp = 46.4 J Moll K:') Gas Initially At 1 Bar And 300K. The System Undergo
Explanation:
How many 21 3/4" x 16 pieces can you get out of a 8'x4' piece of material
Answers
As there are 12 inches in a foot, 8 feet equals 96 inches, and 4 feet equals 48 inches. Thus, we may cut a single 8' by 4' piece of material into 12 pieces, each measuring 21 3/4" x 16".
How many square feet does a 4x8 plywood sheet measure?A typical plywood sheet measuring 4 feet by 8 feet covers 32 square feet. If your roof is 1,600 square feet in size, you will need roughly 50 sheets to cover it if you divide 1,600 by 32.
Now that we know how many pieces of material (8'x4') measuring 21 3/4" by 16" we can get, we can :
By dividing the material's length by the length of each piece, we arrive at:
21.75 inches / 96 inches equals 4.41 (rounded to two decimal places)
By dividing the material's breadth by the width of each component, we arrive at:
48 inches / 16 inches equals 3.
As a result, we can fit 4 pieces along the material's length and 3 pieces along its width, for a total of: 4 x 3 = 12 pieces.
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Calculate the radius of gyration of a hollow drive shaft with an inside diameter of 3 inches and an outside diameter of 3.5 inches. The drive shaft is 6−ft long, weighs 25−lbs and is rotating at 500rpm.
Answers
The radius of gyration of the hollow drive shaft with an inside diameter of 3 inches and an outside diameter of 3.5 inches is approximately 1.80 inches.
The formula for the radius of gyration is:
r = √(I / m)
Here,
I is the moment of inertia
m is the mass of the drive shaft.
To calculate the moment of inertia of a hollow drive shaft, use the following formula:
I = (π/4) × [(R² + r²) - (r²)]
where
R is the outer radius
r is the inner radius of the shaft.
We have:
Inner diameter = 3 inches
Outer diameter = 3.5 inches
Length of the shaft = 6 ft = 72 inches
Mass of the shaft = 25 lbs
Rotational speed = 500 rpm
Inner radius, r = 3/2 = 1.5 inches
Outer radius, R = 3.5/2 = 1.75 inches
Mass of the shaft, m = 25/32.2 = 0.776 kg (since the acceleration due to gravity is 32.2 ft/s²)
Using the above values in the formula for the moment of inertia,
I = (π/4) × [(1.75² + 1.5²) - (1.5²)]
= 4.970 kg.m² (approx.)
Now, using the formula for the radius of gyration,
r = √(I / m)
= √(4.970 / 0.776)
= 1.80 inches (approx.)
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If a blender uses 110 volts and 20 amperes how many watts is it using?
Answers
Answer:
2200 watts
Explanation:
# of Watts = Volts × Amps
# of Watts = 110 × 20# of Watts = 2200 wattsHave a lovely rest of your day/night, and good luck with your assignments! ♡
in a device to produce potable water, humid air at 90 of, 29.7 in hg, and 95% relative humidity is cooled to 40 of at constant pressure. what volumetric flow rate of air into the cooler (ft3/min) is required to provide 10.0 gal/min of condensed water? (20 points)
Answers
The amount of water that flows through a specific surface in a unit of time is known as the volumetric flow rate. Or, to put it more simply, how quickly water moves through a pipe.
Volumetric flow rate is influenced by friction loss, water velocity, and pipe diameter. As is well known, volumetric flow determines how much space the molecules in a flowing gas occupy, while mass flow counts the number of molecules in the gas. Volumetric flow rates can significantly change in response to changes in pressure and/or temperature because gases are compressible and temperature has a large impact on them. Vacuum technology typically deals with three different types of flow: molecular flow, viscous or continuous flow, and the flow at their intersection.
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What is the 2s complement of the BINARY number 111110100.101 ?
a. 000001011.011
b. 110011011.111
c. 001001101.001
d. 000100010.010
e. None of the choices
Answers
Answer:
999999999999999999999
why is it important for a hunter to know their firearms range
Answers
Hunters use firearms to shoot their game, and understanding their firearm's range is important. The term firearm range refers to the maximum distance that a bullet can travel accurately and effectively before losing power. Hunters must understand their firearm range because it will assist them in determining the optimal distance at which to take a shot.
Therefore, the importance of understanding firearm range for hunters cannot be overstated. When hunters are not aware of their firearm's range, they risk losing their game or injuring it. A hunter can miss their target, injuring other living creatures or even other humans. In addition, a hunter must be familiar with their firearm's range to determine the suitable hunting ground, and knowing the right range is critical. A hunter must be aware of the terrain, the type of game being hunted, and other important details that can influence their hunting success.
Therefore, before heading out to hunt, hunters must have a good understanding of their firearm's range, especially the maximum distance that they can shoot accurately and safely. Knowing their firearm range increases their chances of success and enhances their safety.
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A baker deck decorates 42 cupcakes and 30 minute she decorated cupcakes at a constant rate how many cups cage the baker decorate pre-minute
Answers
Answer: 1.4 cupcakes per minute.
Explanation:
Here's the correct question:
A baker decorates 42 cupcakes in 30 minutes. How many cupcakes can the baker decorate per minute?
Since the baker decorates 42 cupcakes in 30 minutes, the number of cupcakes that the baker decorates for each minutes since it's at a constant rate will be the total number of cupcakes made divided by the number of minutes. This will be:
= 42cupcakes / 30minutes
= 1.4 cupcakes per minute.
Therefore, the number of cupcakes that the baker can decorate per minute is 1.4cupcakes/minute
Water enters a vertical jet with low velocity and a pressure of 350 kPa. What is the maximum height that the water can rise above the jet
Answers
The maximum height that the water can rise above the jet is: 35 meters.
Maximum height that the water can rise above the jetGiven:
P = 350 kPa = 350000 Pa
We would use pressure(p) formula to determine the maximum height that the water can rises above the jet by solving for h (height).
Using this formula
Pressure(P) = P₀ + ρgh
Where;
P₀ represent Pressure at the fluid's surface
ρ represent Density of the fluid = 1000 kg/m³
g represent acceleration due to gravity = 10 m/s².
h represent height
Solving for h (height)
350000 = 0 + (1000 × 10 ×h)
350000 = 10000h
Divide both side by 10000h
h = 350000/10000
h = 35 meters
Therefore the maximum height that the water can rise above the jet is: 35 meters.
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When the process is in control but does not meet specification which type of error is it?
Answers
When the process is in control but does not meet specification, it is referred to as a special cause error.
What is the term for a process in control but not meeting specification?In statistical process control, a process is considered to be in control when it operates within the defined limits and shows only random variations. However, when a process is in control but does not meet the desired specifications, it indicates the presence of a special cause error.
Special cause errors are attributed to specific factors or events that cause the process to deviate from the expected outcome. These errors are typically unpredictable and require investigation and corrective action to bring the process back within the desired specifications.
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What is the Laplace Transform of:
f(t)=6e^(−5t)+e^(3t)+5t^3−9
Answers
\(\boxed{ℒ_t[f(t)] =\frac{30}{{s}^{4} } - \frac{9}{s} + \frac{6}{s + 5} + \frac{1}{s - 3}} \)
This holds true because:
\(\lim_{s\to\infty} [\frac{30}{{s}^{4} } - \frac{9}{s} + \frac{6}{s + 5} + \frac{1}{s - 3}] =0 \)
[The answer is throughly verified, hence you can trust this :)]