To prove that Lw is a CFL, we can construct a pushdown automaton (PDA) that recognizes it.
The idea behind the PDA is to keep track of the input string as we read it, and also keep track of whether we have seen the substring w so far.
If we see w, we reject the input. Otherwise, we accept the input if we reach the end of it and haven't seen w.
Formally, the PDA is defined as follows:
The states of the PDA are the states of a PDA for L, plus two additional states: [tex]q_w[/tex] and [tex]q_{reject}[/tex].
The initial state is the initial state of the PDA for L.
The final states are the final states of the PDA for L.
The transition function is defined as follows:
For every transition (q, a, X, q', Y) in the PDA for L, we have the same transition in the new PDA.
If we are in a state q and we read the first character of w, we transition to the state [tex]q_w[/tex]and push the symbol X onto the stack.
If we are in state [tex]q_w[/tex] and we read a character that is not the next character of w, we stay in state [tex]q_w[/tex]and push the symbol X onto the stack.
If we are in state [tex]q_w[/tex]and we read the next character of w, we transition to state [tex]q_w[/tex]without pushing anything onto the stack.
If we are in state [tex]q_w[/tex] and we have read all of w, we transition to state [tex]q_reject[/tex]without pushing anything onto the stack.
If we are in state [tex]q_reject[/tex], we stay in state [tex]q_reject[/tex]without consuming any input or changing the stack.
Intuitively, the PDA works as follows: it reads the input character by character, and if it sees the first character of w, it starts keeping track of whether it has seen the rest of w.
If it sees a character that is not the next character of w, it continues to keep track of whether it has seen w so far.
If it sees the next character of w, it continues to keep track of whether it has seen w so far, but without pushing anything onto the stack.
If it sees all of w, it transitions to a reject state.
If it reaches the end of the input without seeing w, it accepts.
Since we can construct a PDA for Lw, we have shown that it is a CFL
Regenerate respons
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The demand schedules for Jones, Smith, and other buyers are shown in the table below:
Draw the 4 demand curves for i) Jones ii) Smith iii) Other buyers and iv) All buyers.
The demand curve is the graphical representation of the relationship between the price of a good and the quantity demanded for a given period of time.
What is a demand schedule?A demand schedule is a table which shows the quantity demanded of a good or service at different price levels.
A demand schedule can be graphed as a continuous demand curve on a chart where the Y-axis represents the price and the X-axis represents quantity.
Here, a typical representation, the price will appear on the left vertical axis, the quantity demanded on the horizontal axis.
Note that the complete information wasn't found and an overview was given.
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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
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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What frequency bands are used primarily for short range distances select all the nearby?
The frequency bands that are used primarily for short-range distances include the following:
The upper portion of the VHF band (225 MHz to 300 MHz).The lower portion of the UHF band (300 MHz to 400 MHz).What is GSM?GSM is an abbreviation for global system for mobile communication and it can be defined as an open and digital cellular network technology that is designed and developed to be used for the transmission of both mobile voice and data services at the same time.
In Computer technology and networking, the global system for mobile communication (GSM) is typically designed and developed to operates at the following bands of frequencies:
850 MHz900 MHz1800 MHz1900 MHzIn this context, we can infer and logically deduce that the frequency bands that are used primarily for short-range distances such as PAN, include the following:
The upper portion of the VHF band (225 MHz to 300 MHz).The lower portion of the UHF band (300 MHz to 400 MHz).Read more on frequency bands here: https://brainly.com/question/19097094
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Lab scale tests performed on a cell broth with a viscosity of 5cP gave a specific cake resistance of 1 x1011 cm/g and a negligible medium resistance. The cake solids (dry basis) per volume of filtrate was 20 g/liter. It is desired to operate a larger rotary vacuum filter (diameter 8 m and length 12 m) at a vacuum pressure of 80 kPA with a cake formation time of 20 s and a cycle time of 60 s. Determine the filtration rate in volumes/hr expected for the rotary vacuum filter.
Answer:
5.118 m^3/hr
Explanation:
Given data:
viscosity of cell broth = 5cP
cake resistance = 1*1011 cm/g
dry basis per volume of filtrate = 20 g/liter
Diameter = 8m , Length = 12m
vacuum pressure = 80 kpa
cake formation time = 20 s
cycle time = 60 s
Determine the filtration rate in volumes/hr expected fir the rotary vacuum filter
attached below is a detailed solution of the question
Hence The filtration rate in volumes/hr expected for the rotary vacuum filter
V' = ( [tex]\frac{60}{20}[/tex] ) * 1706.0670
= 5118.201 liters ≈ 5.118 m^3/hr
Explain any three ways research can facilitate the work of building technicians
According to the research, research can facilitate the work of building technicians in the conception, materials to use and planning of the project.
What are building technicians?They are experts in construction projects, supporting the design of plans, estimating costs, planning work methods, etc.
Research can facilitate the work of building technicians in the following ways:
Conception, design and planning of the project.Selection of materials for floor, wall and ceiling systems.Carry out the programming of works, budgets and analysis of unit prices.Therefore, we can conclude that according to the research, research can facilitate the work of building technicians in the conception, materials to use and planning of the project.
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True or false? if i were to hook up an ac voltage source to a resistor, the voltage drop across the resistor would be in phase with the current in the circuit.
Answer: True
Explanation:
3) Explain how dc machines Can work as motor and generator
The working principle of a DC machine is when electric current flows through a coil within a magnetic field, and then the magnetic force generates a torque that rotates the dc motor. The DC machines are classified into two types such as DC generator as well as DC motor.
An example of a power consuming device would be a(n) ____ while an example of a non-power consuming device would be a(n) ____.
An example of a power consuming device would be a(n) light bulb, a computer device while an example of a non-power consuming device would be a(n) switch or button.
What is power consumption?The quantity of energy utilized per unit of time is known as power consumption. Power use is a significant factor in digital systems.
Power consumption is a limiting factor for the battery life of portable devices like laptop computers and cell phones.
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Airtight plugs are installed in the ends of large sizes of PVC conduit during bending to_____________.
Airtight plugs are installed in the ends of large sizes of PVC conduit before bending to A. prevent the conduit from collapsing when heated.
What is Airtight plugs?Airtight plugs is necessary in the PVC conduit so as to be able to avoid the collapse of conduit.
In this case, Airtight plugs are installed in the ends of large sizes of PVC conduit before bending to A. prevent the conduit from collapsing when heated.
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What advanced safety features are now standard on 2023 Z?
The advanced safety features that are now standard on 2023 Z are:
The above is the short name or nickname for the All New 2023 Nissan Z coupe Sports car.
The care also features Advanced driver assist and safety technology which relieves the driver's everyday workload, allowing you to focus on what matters most.
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An isolated pretimed signalized intersection has an approach with a traffic flow rate of 750 veh/h and a saturation flow rate of 3200 veh/h. This approach is allocated 32 seconds of effective green time. The cycle length is 100 seconds. Determine the average approach delay a) 4,6 s b) 30.2 s c) 34.8 s d) 35.0 s
Answer: This approach is allocated 32 seconds of effective green time. The cycle length is 100 seconds. Determine the average approach delay (using Eq. 7.27). A) 34.8 s.
Steam at 75 kPa and 8 percent quality is contained in a spring-loaded piston–cylinder device, as shown in Figure, with an initial volume of 2 m3 . Steam is now heated until its volume is 5 m3 and its pressure is 225 kPa. Determine the heat transferred to and the work produced by the steam during this process.
The heat transferred to and the work produced by the steam during this process is 13781.618 kJ/kg
How to calcultae the heat?
The Net Change in Enthalpy will be:
= m ( h2 - h1 ) = 11.216 ( 1755.405 - 566.78 ) = 13331.618 kJ/kg
Work Done (Area Under PV curve) = 1/2 x (P1 + P2) x ( V1 - V2)
= 1/2 x ( 75 + 225) x (5 - 2)
W = 450 KJ
From the First Law of Thermodynamics, Q = U + W
So, Heat Transfer = Change in Internal Energy + Work Done
= 13331.618 + 450
Q = 13781.618 kJ/kg
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A______solid-state relay is an electronic device that performs the same function as an electromechanical relay.
Answer: Non-programmable
Explanation:
A non-programmable solid-state relay is an electronic device that performs the same function as an electromechanical relay.
What is a solid-state relay?An SSR is an electrical switching device that turns on or off when an external voltage (AC or DC) is applied across its control terminals. They perform the same job as an electromechanical relay, but because they include no moving parts, they have a longer operational lifetime.
Solid-state relays are the semiconductor analogs of electromechanical relays and can thus control electrical loads. When energized, the solid-state relay is a fairly complex device with a simple purpose: to activate a single output load.
Therefore, a non-programmable solid-state relay is a type of electrical device that functions similarly to an electromechanical relay.
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Where is the primary area for romanesque architectural sculpture?
Answer:
on the façade, entrance, and column capitals
A certain sine wave has a positive-going zero crossing at 0° and an rms value of 20 V. Calculate its instantaneous value at each of the following angles
Based on the positive-going zero crossing at 0° of the sine wave, the instantaneous value at 15° is 7.321V.
What is the instantaneous value?At 15°, the instantaneous value is:
= 20√2 x Sin(angle)
Solving gives:
= 20√2 x Sin(15°)
= 7.321V
At angel 33°, the instantaneous value is:
= 20√2 x Sin(angle)
= 20√2 x Sin(33)
= 15.405V
At angle 70°:
= 20√2 x Sin(angle)
= 20√2 x Sin(70)
= 26.579V
The full question is:
A certain sine wave has a positive-going zero crossing at 0° and an rms value of 20 V. Calculate its instantaneous value at each of the following angles: a. 15° b. 33° c. 70°
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When performing a vertical analysis which income statement item do you use to determine the cost contribution for each expense category? (What is the denominator?)
Review Later
Net income
Sales
Gross profit
Operating expenses
Sales represent the income statement item used in verticla analyses in order to determine the cost contribution for each expense category (Option C).
What is a vertical analysis?In business, a vertical analysis represents a methodology used to examine financial statements that are ordered as specific points.
A vertical analysis analyzes numbers for only one period, conversely to the horizontal analyses that generally involve many different periods.
In conclusion, sales represent the income statement item used in verticla analyses in order to determine the cost contribution for each expense category (Option C).
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Waterbutt filtration system for pond. Water pressure principles, help needed?
I have water butt 1 and 2 working perfectly but as soon as I add another to the system water butt 1 and 2 start rising and overflowing.
Is there something I'm missing or doing wrong here? How does water leveling work?
Thanks all.
Water pressure principles is known to state that the amount of Fluid pressure is said to be perpendicular to the surface on which it it exert or works on.
Note that principle is shown by a vessel that is said to be having flat sides and has water. The pressure exerted by the weight of the water is therefore known to be perpendicular to the walls of the storage.
What is a Waterbutt used for?A water butt is known to be a container that is made and also used to store a lot of rainwater.
Note that Water pressure principles is known to state that the amount of Fluid pressure is said to be perpendicular to the surface on which it it exert or works on.
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It is possible to design a reactor where the scy conductor and the nitrogen/ammonia electrode operate at different temperatures. Which combination of temperatures is expected to give the best results?.
The combination of temperatures that is expected to give the best result is option A: SCY temperature higher than electrode temp.
Why the case above?The answer is option A because the proton conductivity of SCY is known to be one that often goes up along with increasing temperature, and the favorability of reaction goes down or reduces with total temperature.
Hence, It is said to be good for one to to keep the SCY conductor at a higher temperature and as such, The combination of temperatures that is expected to give the best result is option A: SCY temperature higher than electrode temp.
See options below
. Which combination of temperatures is expected to give the best results?
A.
SCY temperature higher than electrode temperature
B.
SCY temperature lower than electrode temperature
C.
SCY temperature the same as electrode temperature
D.
The temperature of the components does not make a difference.
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A +7.5% grade meets a horizontal grade on a section of a rural mountainous highway. If the length of the crest vertical curve formed in that section is 300 ft long, determine the safe operating speed on the highway.
Using the formula of comfort condition it is possible to determine the safe operating speed on the highway.
What is a deflection angle?In physics, we define angular deviation as the angle resulting from the deflection of light when reflected from a prism. A prism has the ability to separate white light into several other colors, which are reflected by the object.
The comfort condition formula is given by: [tex]L=2(\frac{NV^{3} }{C} )^{\frac{1}{2} }[/tex]
Where, L is the length of the vertical curve, N is the grade, V is the safe speed operation and assuming the standart value for C (0,6 m/s3) it is possible to calculate:
[tex]C = 0,6 m/s^{3} = 1,968 ft/s^{3}\\ N= N1 - N2 = 7,5-0 = 7,5% = 0,075[/tex]
Changing the values in the formula:
[tex]L=2(\frac{NV^{3} }{C}){\frac{1}{2} } \\300 = 2(\frac{0,075.V^{3} }{1,968})^{\frac{1}{2} } \\V = 83,89 ft/s[/tex]
So, the safe operating speed on the highway is 83,89 ft/s.
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The high-pressure fuel pumps used in gasoline direct-injection (GDI) systems are powered by ________.
Answer:
Camshaft
Explanation:
How are new slip rings attached to the rotor core during alternator rebuilding?
The new slip rings is been attached to the rotor core during alternator rebuilding by b. Soldered on.
What Soldering ?Soldering serves as the way of joining different types of metals together by melting solder.
This is been used on new slip rings to get it attached to the rotor core during alternator rebuilding .
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CHECK THE COMPLETE QUESTION BELOW:
How are new slip rings attached to the rotor core during alternator rebuilding?
a. Machine clamped
b. Soldered on
c. Crimped on
d. epoxy glue
different lever designs can be engineered to alter the brake pedal effort required of the driver by using different levels of ?
Different lever designs can be engineered and developed to alter the brake pedal effort required of the driver by using different levels of mechanical advantage.
What is mechanical advantage?Mechanical advantage can be defined as a ratio of the output force of a lever to the force acting on it (input force or effort), assuming no losses due to wear, flexibility, tear or friction.
This ultimately implies that, different lever designs can be suitably engineered and developed to alter the brake pedal effort (input force) that is required of the driver, especially by using different levels of mechanical advantage.
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Determine the carburizing time necessary to achieve a carbon concentration of 0.30 wt.% at a position of 4 mm into an iron-carbon alloy that initially contains 0.10 wt.% C. The surface concentration is to be maintained at 0.90 wt.% C, and the treatment is to be conducted at C. Use the diffusion data for -Fe in Table 5.2
Answer:
the carburizing time necessary to achieve a carbon concentration is 31.657 hours
Explanation:
Given the data in the question;
To determine the carburizing time necessary to achieve the given carbon concentration, we will be using the following equation:
(Cs - Cx) / (Cs - C0) = ERF( x / 2√Dt)
where Cs is Concentration of carbon at surface = 0.90
Cx is Concentration of carbon at distance x = 0.30 ; x in this case is 4 mm = ( 0.004 m )
C0 is Initial concentration of carbon = 0.10
ERF() = Error function at the given value
D = Diffusion of Carbon into steel
t = Time necessary to achieve given carbon concentration ,
so
(Cs - Cx) / (Cs - C0) = (0.9 - 0.3) / (0.9 - 0.1)
= 0.6 / 0.8
= 0.75
now, ERF(z) = 0.75; using ERF table, we can say;
Z ~ 0.81; which means ( x / 2√Dt) = 0.81
Now, Using the table of diffusion data
D = 5.35 × 10⁻¹¹ m²/sec at (1100°C) or 1373 K
now we calculate the carbonizing time by using the following equation;
z = (x/2√Dt)
t is carbonizing time
so we we substitute in our values
0.81 = ( 0.004 / 2 × √5.35 × 10⁻¹¹ × √t)
0.81 = 0.004 / 1.4628 × 10⁻⁵ × √t
0.81 × 1.4628 × 10⁻⁵ × √t = 0.004
1.184868 × 10⁻⁵ × √t = 0.004
√t = 0.004 / 1.184868 × 10⁻⁵
√t = 337.5903
t = ( 337.5903)²
t = 113967.21 seconds
we convert to hours
t = 113967.21 / 3600
t = 31.657 hours
Therefore, the carburizing time necessary to achieve a carbon concentration is 31.657 hours
A centrifugal pump levers water
to a boiter at the rate of 0.05mls
pressure rises across the
is 7 bar, the suction pipe 100m
I'm diameter, and delivering pipe
the
ритр
is 15mm diameter, the outlet
being 0.5m above the intet.
Calculate the efficiency of
the pump
the
kipe, it
power delivered to
the driving shaft is 45 kWatt
Answer:
Industrial users can select from numerous pump technologies for water supply and the handling of other liquid media. A particular favorite is the centrifugal pump. How do centrifugal pumps work? What different delivery principles are there? For which applications are centrifugal pumps especially well-suited?
Here we provide you an overview of the different types of centrifugal pumps. In addition, the operating principles are explained, and typical applications are listed also.
Explanation:
In order to live and grow, bacteria need moisture, food, the right temperature, and ______? Fill in the blank
Answer:
acidity, time,oxygen
Explanation:
These are some conditions for the growth of bacteria
For some alloy, the yield stress is 345-MPa (50,000-psi) and the elastic modulus (E) is 103-GPa (15x106 psi). What is the maximum load that may be applied to a specimen with a cross-sectional area of 130-mm2 (0.2-in2) without plastic deformation
The maximum load that may be applied to a specimen with a cross-sectional area of 130 mm² is; 35535 N
How to find Elastic Modulus?We are told that for an alloy, the yield stress is 345-MPa and the elastic modulus (E) is 103-GPa.
Now, we want to find the maximum load that may be applied to a specimen with a cross-sectional area of 130-mm² without plastic deformation. Thus;
We are given the parameters;
Yield Stress; σ = 345 Mpa = 345 * 10⁶ Pa
Elastic Modulus; E = 103 GPa = 103 * 10⁹ Pa
Cross sectional Area; A = 130 mm² = 103 * 10⁻⁶ m²
Formula for stress without Plastic deformation is;
σ = F_max/Area
where;
σ is stress
F_max is maximum force
Area is Area
Thus making maximum force the subject of the formula gives;
F_max = σ * A
Plugging in the relevant values for stress and area gives us;
F_max = 345 * 10⁶ * 103 * 10⁻⁶
F_max = 35535 N
The maximum load that may be applied to a specimen with a cross-sectional area of 130 mm² is gotten to be 35535 N
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Consider fully developed flow in a circular pipe with negligible entrance effects. If the length of the pipe is doubled, the pressure drop will _____.
If a dielectric material, such as teflon®, is placed between the plates of a parallel-plate capacitor without altering the structure of the capacitor, how is the capacitance affected?.
The capacitance is affected is that the capacitance increases because of the insertion of Teflon.
What is capacitance?A capacitance is known to be a form of a device that is said to be used to save some measures of charges in any kind of an electrical circuit.
Note that the capacitor functions on the principle that the capacitance of a conductor is said to go up if an earthed conductor is taken close to it.
Therefore, The capacitance is affected is that the capacitance increases because of the insertion of Teflon and so the teflon tends to widen the capacitance.
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The need for extraction of raw metals for making steel has been reduced due to the?
Answer: Increase in minimills
Explanation:
g wastewater is to be treated with aerated lagoons. You are considering two different design options: A) A single lagoon with a surface area of 180 m2 B) Two lagoons in series with surface areas of 90 m2 each. All ponds have a depth of 2 m. The flow rate of wastewater is 5000 L/day. The waste contains 600 mg/L of organic material that is readily biodegradable with a first-order rate constant of 0.35 day-1. What final effluent concentration of organic material would you expect for each design