suppose there exist two distinct maximum flows f1 and f2. show that there exist infinitely manymaximum flows.

To design a circuit that realizes this sequential function, we can use a shift register with four stages to keep track of the last four input values on w1-w2. At each clock cycle, we shift in the new input value and compare it with the value four cycles ago. If the difference is non-zero, we set the output z to 1, otherwise, we keep z at 0.

The circuit can be implemented using D flip-flops, XOR gates, and AND gates as follows:

1. Use four D flip-flops to create a shift register with four stages. Connect the D input of the first flip-flop to w1, and the D input of the other three flip-flops to the Q output of the previous flip-flop. Connect the clock input of all flip-flops to the same clock signal.

2. Use XOR gates to compute the difference between the input values four cycles apart. Connect the output of the first flip-flop to one input of the first XOR gate, and the output of the fifth flip-flop (which stores the input value four cycles ago) to the other input of the XOR gate. Repeat this for the other three XOR gates, connecting the outputs of the second, third, and fourth flip-flops to the other input of the second, third, and fourth XOR gate, respectively.

3. Use an AND gate to combine the outputs of the four XOR gates. Connect the output of each XOR gate to one input of the AND gate. Connect the output of the AND gate to the D input of a new flip-flop, and connect the clock input of the flip-flop to the same clock signal as the other flip-flops.

4. Connect the Q output of the new flip-flop to the output z.

With this circuit, the output z will be set to 1 whenever there is a non-zero difference between the input values four cycles apart, and will be 0 otherwise. Applying the input values in example 3, we get:

c. W1: 0 1 1 0 1 1 1 0 0 0 1 1 0
d. W2: 1 1 1 0 1 0 1 0 0 0 1 1 1
e. Z: 0 0 0 0 1 0 0 0 0 1 1 1 0

Note that the output z is 1 in the fifth and tenth clock cycles, which correspond to the four-cycle windows (0110 and 0011) where the input values on w1-w2 differ.

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The smallest signal amplitude one can measure is 53 µV.

 A 20 dB gain amplifier increases the input signal's power by 20 dB, making it 100 times greater.

With a 16-bit A/D converter, the dynamic range is divided into 2^16 (65,536) discrete levels.

The A/D converter's dynamic range is 10 V, so each level corresponds to a voltage difference of 10 V / 65,536 ≈ 0.153 mV.

To determine the smallest signal amplitude one can measure, you must consider the amplifier's gain.

Divide the voltage difference per level (0.153 mV) by the amplifier gain (100).

This results in a smallest measurable signal amplitude of approximately 1.53 µV.

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The final answer is given as [tex]1.81 * 10^-3[/tex]

To maintain a healthy and pleasant indoor environment, the ventilation range must be taken into consideration. This range denotes the air flow rates necessary for optimal conditions and is typically measured by cubic feet per minute (CFM).

Several factors influence the needed CFM such as space size, number of occupants, and activities conducted within the area. Specific buildings or areas may have different requirements that affect the recommended ventilation rate. It is crucial to ensure airflow rates adequately remove any impurities from the environment while sustaining a secure setting for those utilizing it.

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The maximum moment on a simply supported beam with a uniformly distributed load occurs at the midspan or center of the beam. In such a beam configuration, both ends of the beam are supported, allowing it to withstand vertical loads along its length.

The uniformly distributed load refers to a constant load applied per unit length across the entire beam.

As the load is evenly distributed, the beam experiences bending. The bending moment is a measure of the internal resistance generated in the beam due to the applied load, and it determines the beam's capacity to carry the load. The moment varies along the length of the beam, and its highest value, the maximum moment, is critical for the beam's structural stability.

In the case of a simply supported beam with a uniformly distributed load, the highest bending stresses and deflections occur at the midspan of the beam, where the maximum moment is located. This is because the beam's support reactions at both ends tend to balance out the load, resulting in a symmetrical response. Engineers and architects take this maximum moment into consideration while designing beams to ensure their structural safety and performance.

In summary, the maximum moment for a simply supported beam with a uniformly distributed load is found at the beam's midspan or center.

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The value of the voltage based on the point charge is attached.

A point charge is a theoretical physical entity characterized by an electric charge that is completely and solely concentrated at one singular point in space. This concept is of primary relevance within electrostatics and inherently used to examine the interplay of energizing electric forces and fields presented in various systems.

Regarding Classical Electromagnetism, a point charge encompasses a particle possessing a non-zero noticeable electrical disposition, circumscribed at one area of space and identified by the "q" symbol with regards to its positive or negative orientation.

Check the attachment.

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The application of P-T coating on a .6-inch diameter strand is important for protection against corrosion and wear. P-T coating refers to a type of coating that combines both plasma spray and thermal spray processes to produce a high-quality, durable coating.

This coating is used in a wide range of industries, including aerospace, automotive, and industrial applications.

To ensure optimal protection, the thickness of the P-T coating applied to a .6-inch diameter strand must be appropriate. The specific thickness requirement may vary depending on the intended application of the strand. However, in general, the coating should not be less than a certain minimum thickness to provide sufficient protection against corrosion and wear.

The actual minimum thickness requirement for P-T coating on a .6-inch diameter strand will depend on the specific materials being used and the conditions in which the strand will be exposed. It is important to consult with experts in the field to determine the appropriate thickness for a given application. By applying the appropriate thickness of P-T coating, it is possible to significantly extend the lifespan of the strand and improve its performance in harsh environments.

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Therefore, the  cross-section of the pipe at section a-a, the longitudinal stress will be  88.2 MPa and then the  circumferential stress will be 94.5 MPa.

In order o determine the state of stress on  the cross-section of the pipe at section a-a, we must find the geometry of the pipe and also the external loading acting on

Let assume by  using the following equations:

Longitudinal stress(σ_L) = (P * r_i) / t

Circumferential Stress (σ_C) = (P **r_o) / t

The  P is the internal pressure,

r_i refer to the inside radius of the pipe,

r_o also represent the outside radius of the pipe,

t refer to the  the wall thickness of the pipe.

The external load P = 6.3 kN,

We can  assume that the pipe has an outside diameter of 150 mm

the wall thickness of 5 mm.

 The inside diameter of the pipe is  140 mm

the inside radius is  70 mm.

Longitudinal stress  (σ_L) = (6.3 kN *0.07 m) / 0.005 m = 88.2Mpa

Circumferential stress (σ_C) = (6.3 kN* 0.075 m) / 0.005 m =

 therefore, the  cross-section of the pipe at section a-a, the longitudinal stress will be  88.2 MPa and then the  circumferential stress will be 94.5 MPa.

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To determine the transfer function of a filter, you need to use the circuit's components and equations. However, since the specific circuit details were not provided in the question, it is difficult to give a specific answer.

Regarding the Matlab program that displays the bode plot of the filter, you can use the "bode" function in Matlab. This function takes in the transfer function as input and plots the magnitude and phase response of the filter.

Here's an example code snippet:

% Define the transfer function
num = [1 2];
den = [1 3];
G = (num, den);

% Plot the bode plot
bode(G)

This code defines a transfer function with a numerator of 1 and 2, and a denominator of 1 and 3. The function converts these coefficients into a transfer function object, which can be used with the "bode" function to plot the frequency response of the filter.

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The moment of inertia of the assembly about the axis perpendicular to the page and passing through point O is 0.285 kg/m².

The dimensions of the block are 300mm x 400mm, the radius of the semi cylinder is 200mm when converted.

The mass of the block is 3 kg and the semi cylinder has a mass of 5 kg.

The Moment of inertia of the assembly  around the axis passing through the point O and perpendicular to the page  is given as :

I = M/12(L²+B²)

I₁ = M/12((0.3)²+(0.4)²)

I₁ = M/12

I₁ = 0.06 kg/m²

We now find the moment inertia of the semi cylinder around the point O is,

I₂ = M/2(R)²

I₂ = 5/2(0.3)²

I₂ = 0.225 kg/m².

The moment of inertia of the whole assembly around the axis perpendicular to the page and passing through point O.

I = I₁ + I₂

I = 0.06+0.225

I = 0.285 kg/m².

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Here are some safety considerations that should be taken into consideration before and during search operations:Proper training: Search team members should have proper training in search and rescue operations, first aid, and survival skills.

Use of appropriate equipment: The team should have appropriate equipment for the terrain and conditions they will encounter. This includes protective clothing, helmets, ropes, lights, and communication devices.Knowledge of the area: The search team should have knowledge of the area they are searching in, including its geography, weather patterns, and any hazards that may be present.Risk assessment: Before starting a search operation, the team should assess the risks involved, such as the potential for landslides, flash floods, or hazardous materials.Communication: Good communication is essential during search operations. The team should establish clear lines of communication and have backup communication methods in case of failure.

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Cross-grain Douglas Fir wood, which refers to wood cut against the grain, will start to crush at a lower load capacity compared to wood cut along the grain. The exact point at which it starts to crush depends on various factors, such as the quality and density of the wood. However, it is important to note that cross-grain wood generally has reduced strength and is more susceptible to crushing.

In general, Douglas Fir wood can start to crush at around 3,000 to 5,000 pounds per square inch (psi) of compression strength when loaded perpendicular to the grain. However, the exact value can vary depending on the specific conditions and characteristics of the wood. It's important to note that cross-grain loading should generally be avoided in wood applications to prevent damage and ensure structural integrity. Proper design and engineering considerations, including avoiding cross-grain loading, should be taken into account when using Douglas Fir or any other wood species in structural applications to ensure safe and reliable performance.

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a. To pinpoint the IP address of the device broadcasting ARP packets, you should investigate the packet occurrences with a packet capture utility like Wireshark.

b. In order to uncover nodes on a network network, one is able to use arpscan or ARP-Sweep as their scanning tool of choice.

Keeping an eye out for each ARP demand within the packet's selection should prodcue the source's IP address under the "Sender IP Address" section in the captured ARP packet.

Following execution of the scan, the specific utility being implementated will showcase a list of all discernible nodes accompanied with their own particular IP address and MAC number. Examining the ARP responses in packet scanning can additionally display discovered hosts.

c. On a diminutive routed LAN setup, ARP scans are deployable to detect nodes within the same subnet. Since these broadcast requests are dispatch inside a single domain only, the operation would reveal elements inside that given area alone. To locate other components around varying segments of a connected system, then distinct techniques must be undertaken such as ICMP echo request (pinging) or port scanning.

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B) transistor. Typically a constant voltage CP rectifier will NOT have transistor.

A constant voltage CP (controlled potential) rectifier is a type of rectifier used in electrochemical processes. It typically consists of a transformer, a rectifying element (such as diodes), voltage taps, and other components. However, it does not typically include a transistor, as transistors are not commonly used in CP rectifiers. Transistors are electronic devices used for amplification and switching of electrical signals, and they are not necessary for the operation of a typical constant voltage CP rectifier, which primarily functions to provide a stable DC output voltage for electrochemical processes.

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The decay time of nuclear waste depends on the type of radioactive isotopes it contains. Some can decay in a few days, while others can take thousands of years.

The most hazardous waste can take up to millions of years to decay to a safe level.Nuclear waste decays through a process called radioactive decay, where unstable isotopes emit radiation and transform into other elements over time. The rate of decay is measured by the half-life, which is the time it takes for half of the initial amount of a radioactive isotope to decay.The challenge with nuclear waste is that some of the isotopes have very long half-lives, meaning they will remain hazardous for thousands or even millions of years. Proper disposal and management of nuclear waste is critical to ensure the safety of future generations.

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Pneumatic shores are devices that are commonly used in construction and rescue operations to provide temporary support to structures.

However, they should never be used with air pressure in a structural collapse situation. This is because pneumatic shores rely on air pressure to function, and in a collapse situation, the air pressure could be compromised or even non-existent. Additionally, the use of pneumatic shores in a collapse situation could create further instability and potentially lead to a secondary collapse, putting both rescue personnel and victims at risk. Instead, in a structural collapse situation, other types of shoring techniques, such as manual or hydraulic shoring, should be used to provide temporary support and prevent further collapse.

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True. When a plane surface is tangent to a contoured surface, it intersects the contoured surface at a single point, and a line is drawn to show this point of intersection.

This is because a tangent line is a line that touches a curve at a single point and has the same slope as the curve at that point. The point of intersection between the plane surface and the contoured surface is where the two surfaces meet, and the tangent line helps to visualize this point. The tangent line is perpendicular to the normal vector of the contoured surface at the point of intersection. This concept is important in fields such as mathematics, engineering, and physics, where the interaction between surfaces is a crucial aspect of analysis and design. Understanding the point of intersection between a plane surface and a contoured surface is essential in ensuring that the surfaces interact in a safe and effective manner.

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On a simply-supported beam with uniformly distributed loading, the shear is greatest at the supports. This is because the ends of the beam are subjected to the largest forces due to the distributed load, resulting in the highest shear forces. As the load is distributed uniformly, the shear force at any given point on the beam can be calculated by taking the area of the load distribution to the left or right of the point and multiplying it by the distance from that point to the nearest support.

At mid-span, the load distribution on both sides is equal, resulting in a lower shear force than at the supports. At third point on the beam, the load distribution is only one-third of the total load on one side, resulting in an even lower shear force.

Therefore, the shear force is not equal at all locations on the beam but is greatest at the supports and decreases towards the center of the beam. This information is important when designing and analyzing structures under distributed loads to ensure that the beam is able to support the required loads without failure.

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The answer to Question 37 is false. When there is a concentration of X-ray machines in one building, scatter radiation can become a problem. Scatter radiation is the radiation that is produced when the X-rays interact with matter in the body or in the surrounding environment. This can cause the X-rays to bounce off of objects and walls, creating secondary radiation that can be harmful to people who are not directly involved in the imaging process.

When there are multiple X-ray machines in a building, the amount of scatter radiation can increase significantly. This is because the X-rays from one machine can interact with the other machines, creating a cumulative effect. The more machines there are, the more radiation there is to scatter. This can be a particular problem in small buildings, where the radiation can accumulate quickly and create a hazardous environment for anyone who is in the building.

To reduce the risk of scatter radiation in a building with multiple X-ray machines, it is important to ensure that each machine is properly shielded and that there is adequate space between the machines. This can help to minimize the amount of scatter radiation that is produced and keep everyone in the building safe.

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Radiation leakage from the X-ray tube head is prevented by the tube head seal, which also holds the X-ray generator and collimator assembly in place.

The X-ray tube, which produces the X-rays used in medical imaging, is housed in the X-ray tube head. The X-ray tube is enclosed by a tube head seal, which prevents radiation leakage from the tube head while it is in use. This helps shield the patient and the operator from unneeded ionising radiation exposure. The seal also aids in maintaining the X-ray generator and collimator assembly's tight fit. The X-ray tube head would be unstable without the tube head seal and could present a safety risk while in operation. In general, the tube head seal is a crucial part of the X-ray system that guarantees reliable and precise results.

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True. Increasing the concrete compressive strength of a short, non-sway, concrete column has negligible effect on the ultimate capacity. Short, non-sway columns are primarily designed to resist compressive loads, and their behavior is dominated by the material properties of concrete and the geometry of the column. In such columns, the failure mode is typically crushing of the concrete, which is governed by the compressive strength of the material.

Although a higher concrete compressive strength may result in a minor increase in the ultimate capacity, it is not a significant factor, as the axial load capacity is primarily determined by the cross-sectional area and the overall geometry of the column. For short, non-sway columns, the slenderness ratio is low, which means that the risk of buckling or lateral instability is minimal.

Therefore, focusing on increasing the compressive strength of the concrete may not be the most effective way to enhance the performance of short, non-sway columns. Instead, it may be more beneficial to optimize the column's cross-sectional dimensions and reinforcement design, ensuring that it can safely carry the required loads and resist potential failure mechanisms.

In summary, the statement is true, as increasing the concrete compressive strength has a negligible effect on the ultimate capacity of a short, non-sway, concrete column.

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A structural component that transmits axial compression loads and is defined by its loading and not its orientation is known as a content loaded column.

. A compression column, or simply a column, is a structural element that transfers axial compression stresses and is identified by its loading rather than by its orientation. There is no such thing as a "content loaded column" in the vocabulary of structural engineering.

An upright structural component known as a column transfers the weight of the structure above it to the foundation below. Steel, concrete, wood, and masonry are just a few of the materials that may be used to create columns. They can also have varied forms, such as round, square, or rectangular.

The major load on a column is axial compression, which implies that the load is directed along the longitudinal axis of the column. This is what is meant when a phrase like "compression" is used. This contrasts with

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A Flotilla Vice Commander (VFC) is a Flotilla-level Vice Commander under the Flotilla Commander (FC). The correct answer for this question is A.

VFC is responsible for assisting FC in the overall direction and management of the fleet. The other options listed are not the correct titles for elected officers at the platoon level.

Therefore, we conclude that the correct answer is A. At the Fleet level, the appropriate titles for elected officers are Fleet Commander (FC) and Fleet Vice Commander (VFC).

The Fleet Commander is responsible for managing the entire fleet, while the Deputy Fleet Commander supports the FC and takes over FC duties when necessary.

Other options (B. Commodore, C. Flotilla Staff Officer, D. Division Commander) represents a variety of roles within the organization and is not an officer position elected at the fleet level. 

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To effectively solve the ArrayChallenge problem, you can iterate through each individual character of both specified strings and compare those characters located in the same position.

If those characters differ from one another, then increment a tracking counter variable to denote that inconsistency. Lastly, provide the counter variable upon completion.

The procedure follows below:

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One cloud-delivered security service that provides security for branches and mobile users is Zscaler.

This service offers a cloud-native platform that provides secure access to applications and data for remote workers, as well as secure connectivity for branch offices. Zscaler's security solution includes web security, cloud sandboxing, threat prevention, data protection, and secure access service edge (SASE) capabilities, all delivered from a single platform. This ensures that all traffic, whether from branch offices or mobile users, is secured with the same level of protection. Additionally, Zscaler provides a zero trust security model that verifies identity and device posture before granting access to corporate resources, making it an ideal solution for today's distributed workforce.

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When a search team is assigned an area, regardless of its size, it should be systematically searched using a structured search pattern. This helps to ensure that the entire area is searched thoroughly and no areas are missed.

There are several search patterns that can be used, including:Grid Search Pattern: The search area is divided into a grid of squares or rectangles, and searchers move in straight lines along the grid lines, searching each square or rectangle thoroughly before moving on to the next.Line Search Pattern: Searchers move in straight lines along the length of the search area, systematically searching the area on either side of the search line.Spiral Search Pattern: Searchers move in a spiral pattern from the outside of the search area towards the center, systematically searching the entire area as they move inward.

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The use of UV-resistant coating on bearing plates is essential in protecting them from the damaging effects of ultraviolet (UV) radiation. UV radiation from the sun can cause significant deterioration of materials, particularly those used in outdoor applications, such as bearing plates in infrastructure projects. UV-resistant coatings are specifically designed to block or absorb UV radiation, preventing it from reaching the underlying material and extending the lifespan of the bearing plates.

UV-resistant coatings are often made from materials that have high UV absorption and reflective properties, such as certain types of polymers or nanoparticles. These coatings are applied to the surface of the bearing plates, creating a barrier between the plates and the harmful UV rays. This not only helps maintain the structural integrity of the bearing plates but also prevents fading, cracking, or other forms of damage caused by prolonged exposure to sunlight.

Incorporating UV-resistant coatings in bearing plates is particularly crucial in areas with high levels of solar radiation, such as deserts or areas near the equator. The use of these coatings can lead to significant cost savings in the long run by reducing maintenance and replacement costs associated with sun-damaged bearing plates.

In summary, the use of UV-resistant coatings on bearing plates is an essential protective measure that ensures the durability and longevity of these important structural components. By blocking or absorbing harmful UV radiation, these coatings help maintain the structural integrity of bearing plates and prevent damage due to prolonged exposure to sunlight.

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To design a sequential circuit that compares input sequences [tex]w_{1}[/tex]  and [tex]w_{2}[/tex]  over four consecutive clock cycles and produces an output z, you can use a 4-bit shift register and a comparator.

1. Create two 4-bit shift registers for inputs[tex]w_{1}[/tex]  and [tex]w_{2}[/tex] . The shift registers will store the last four bits of each input sequence as they receive new bits with each clock cycle.
2. Connect the outputs of the two 4-bit shift registers to a 4-bit comparator. This comparator will compare the binary values of the two registers and produce an output signal that indicates if w1 is greater than w2 (w1 > w2).
3. Use an AND gate to produce the final output z. Connect the output of the 4-bit comparator to the input of the AND gate. Also, connect a signal representing ([tex]w_{1}[/tex]  - [tex]w_{2}[/tex] ) during any four consecutive clock cycles to the other input of the AND gate. If both inputs of the AND gate are high (1), the output z will be 1; otherwise, z will be 0.
With this circuit design, the input sequences on [tex]w_{1}[/tex] and [tex]w_{2}[/tex] will be compared over four consecutive clock cycles, and the output z will reflect the result of the comparison as specified in the problem statement.

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The correct answer is  Valve clearance is not typically part of the check of the engine compartment done for a pre-trip inspection.

The other items you mentioned, such as engine oil level, condition of belts and hoses, and worn wiring insulation, are commonly included in a pre-trip inspection of the engine compartment.Engine oil level: This is a check to ensure that there is sufficient engine oil to lubricate the engine and that it is at the correct level.Coolant level: This is a check to ensure that there is sufficient coolant to maintain the engine at a safe operating temperature.Belts and hoses:

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The suitable resistance value for R in the rectifier circuit, based on a 120 Vrms sine wave input and a peak diode current of 40 mA, is approximately 4242.5 Ohms. The greatest reverse voltage that will appear across the diode is 169.7 V.

We're given that the sine wave voltage (Vrms) is 120 V and the peak diode current is not to exceed 40 mA (0.04 A). Assuming an ideal diode in the rectifier circuit, the peak voltage can be calculated using Ohm's Law and the relation Vpeak = Vrms * sqrt(2).

The greatest reverse voltage across the diode would equal the peak voltage, Vpeak, since in negative cycle of AC the diode will block this maximum voltage. So, the maximum reverse voltage is 169.7 V.

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Question: "When performing vertical ventilation, extend ground ladders at least _____ rungs above the edge of the roof or top of the parapet wall.Select one:"

When performing vertical ventilation, extend ground ladders at least two rungs above the edge of the roof or top of the parapet wall.

Your answer: d. two

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