The genetic algorithm, which is based on natural selection, the mechanism that propels biological evolution, is a technique for resolving both limited and unconstrained optimization issues. A population of unique solutions is repeatedly modified by the genetic algorithm.
A genetic algorithm (GA), which is a subclass of the larger class of evolutionary algorithms in computer science and operations research, is a metaheuristic that takes its cues from the process of natural selection (EA). Genetic algorithms frequently employ biologically inspired operators including mutation, crossover, and selection to produce high-quality solutions to optimization and search issues. Solving sudoku puzzles, hyperparameter optimization, and performance-enhancing decision trees are a few examples of GA applications. To solve complex issues with a greater number of variables and potential outcomes/solutions, a genetic algorithm is used. To select the best answers, combinations of several solutions are run through a Darwinian-based algorithm. The poorer solutions are then replaced with the offspring of good solutions.
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In-------process the hot drawn bar or rod is pulled through the die.
Answer:
Explanation:
he metallic rod is fixed into the dies by using a die holder and then a drawing head is used in which the metallic rod is fixed through a jaw mechanism. And then the bar is stretched and slides between the surfaces of the die
which of the following descriptions apply to standard-type motorcycles? a. are best for long-distance touring b. a lot of performance-oriented bodywork c. straight-up seating position d. designed solely for off-highway use
The correct response is c. straight-up seating position. Standard-type motorcycles apply to straight-up seating position.
Keeping the feet flat while seated or placing them on the ground or a footrest. Do not cross your ankles or knees. keeping a modest distance between the chair and the back of the knees. putting the knees at the same height as the hips or just a little lower. Sit upright with your shoulders back and your back straight. When sitting, try to leave two inches between the back of your knees and the edge of the seat. Puleio advises adjusting your seat so that your thighs are parallel to the floor and your feet are flat on the ground (or on a footrest if your feet cannot rest comfortably).
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Technician a says you may replace a fusible link with a larger gauge wire. technician b says a burned-out fuse indicates a larger-rated fuse should be used. who is correct?
Based on the information provided by these technicians, the correct answer is that: D) Neither Technician A nor Technician B.
The components of an electrical circuit.Generally, an electrical circuit comprises the following electrical components:
ResistorsCapacitorsBatteriesTransistorsSwitchesElectrical wiresFuseFusible linkWhat is a fusible link?A fusible link can be defined as a type of electrical component which comprises a wire or fusible alloy strip that's attached to two (2) connectors, so as to serve as an electrical safety device.
Based on the information provided by these technicians, we can reasonably and logically deduce that neither Technician A nor Technician B is correct because a fusible link should not be replaced with a larger gauge wire and a burned-out fuse indicates that a new fuse of same rating should be used.
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Complete Question:
Technician A says you may replace a fusible link with a larger gauge wire. Technician B says a burned-out fuse indicates a larger-rated fuse should be used. Who is correct?
A) Technician A only
B) Technician B only
C) Both Technician A and Technician B
D) Neither Technician A nor Technician B
The term route of entry on an SDS refers to the way a _____ enters the body
Answer:
No matter what u post on a football page, some fatherless dude will either say "pessi" or "penaldo"
1) What two measures are used in rating the size of an injection molding machine?
2) What is packing the mold and why is it important in obtaining good injection molded parts?
3) How does high crystallinity in a resin affect the way the resin is injection molded, including any post-molding operations that might be done?
4) Why is it important to have the sections of the molded part as uniform in thickness as possible?
5) Assume that you are assigned to determine the minimum clamping force for a part to be molded out of polystyrene. The part cross-sectional area is 10 x 14 inches. What is the clamping force required if as a general rule, 2.5 tons of force are needed for each square inch of cross-sectional area?
6) Why is low specific heat capacity desired in a mold cavity material for some applications and a high specific heat capacity desired in others?
7) What feature in a mold will allow a hollow, cylindrical part to be made? Why are injection molding machines not as effective for mixing additives or other resins as are traditional extrusion machines?
8) What is a vent in the mold, what problems are prevented by the presence of a vent, and what parameters control its size?
1) The two measures used in rating the size of an injection molding machine are the clamping force and the shot capacity. The clamping force refers to the force exerted by the machine to keep the mold closed during the injection process.
2) Packing the mold involves applying additional pressure to the resin after the injection phase. This is done to ensure that the mold cavity is completely filled and that the plastic material is properly packed within the mold. Good packing is important because it helps to eliminate voids, reduce shrinkage, and improve the overall strength and quality of the injection molded parts.
3) High crystallinity in a resin affects the injection molding process and post-molding operations. Resins with high crystallinity tend to have slower melt flow rates, requiring higher processing temperatures and longer cooling times.
4) It is important to have uniform thickness in the sections of a molded part to ensure consistent cooling and minimize the risk of defects.
5) To determine the clamping force required, we multiply the part cross-sectional area (10 x 14 inches) by the general rule of 2.5 tons of force per square inch.
6) Low specific heat capacity is desired in a mold cavity material for some applications because it allows for faster cooling and shorter cycle times.
7) A feature in a mold that allows a hollow, cylindrical part to be made is called a core. The core creates the internal cavity of the part while the mold cavity forms the external shape.
8) A vent in the mold is a narrow gap or channel that allows for the escape of air, gases, or excess material during the injection molding process. It helps to prevent issues such as air trapping, burn marks, and incomplete filling of the mold cavity.
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a commercial refrigerator with r-134a as the working fluid is used to keep the refrigerated space at -35 c by rejecting waste heat to cooling water that enters the condenser at 18 c at a rate of 0.25 kg/s and leaves at 26 c. the refrigerant enters the condenser at 1.2 mpa and 50 c and leaves at the same pressure subcooled by 6 c. if the compressor consumes 3.3 kw of power , determine (a) the mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.
At 1.2mpa pressure and 50c
What is pressure?
By pressing a knife against some fruit, one can see a straightforward illustration of pressure. The surface won't be cut if you press the flat part of the knife against the fruit. The force is dispersed over a wide area (low pressure).
a)Mass flow rate of the refrigerant
Therefore h1= condenser inlet enthalpy =278.28KJ/Kg
saturation temperature at 1.2mpa is 46.29C
Therefore the temperature of the condenser
T2 = 46.29C - 5
T2 = 41.29C
Now,
d)power consumed by compressor W = 3.3KW
Q4 = QL + w = Q4
QL = mR(h1-h2)-W
= 0.0498 x (278.26 - 110.19)-3.3
=5.074KW
Hence refrigerator load is 5.74Kg
(COP)r = 238/53
(Cop) = 4.490
Therefore the above values are the (a) mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.
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to produce cooling the refrigerant must
Answer:
The compressor
Explanation:
to compress the low-pressure dry gas refrigerant from the evaporator and raise its pressure and temperature to that of the condenser, to produce flow around the system.
Who is Robert Goldard
Answer:
An am American engineer
Off the southern coast of Andorra in the Mediterranean Sea lies the island of Duosomata (pronounced DOO-oh-so-MAH-ta). It is populated exclusively by short people and tall people. No people of average height live on the island. We can use the following predicates to say things about the people of Duosomata.
person(x)
≡
x is a person.
short(x)
≡
Person x is short.
tall(x)
≡
Person x is tall.
taller(x, y)
≡
Person x is taller than person y.
Answer the following questions by writing expressions in predicate calculus that use these predicates. Assume that quantified variables range over all possible objects, not just people, and not just people from Duosomata.
1a. (5 points.) Write an expression that means ‘‘If there are any two people, and the first person is taller than the second person, then the first person is tall, and the second person is short.’’
1b. (5 points.) Write an expression that means ‘‘At least one tall person is taller than any short person.’’
1c. (10 points.) Suppose that this is true:
¬ ∃s ∃t [person(s) ∧ person(t) ∧ short(s) ∧ tall(t) ∧ taller(s, t)]
Then prove that this is true:
∀s ∀t [(person(s) ∧ person(t) ∧ short(s) ∧ tall(t)) → ¬ taller(s, t)]
Your proof must be written as a series of steps. Each step must be an expression in predicate calculus. You must give a reason for each step.
1a. (∀x)(∀y)((person(x) ∧ person(y) ∧ taller(x, y)) → (tall(x) ∧ short(y)))
1b. (∃x)(tall(x) ∧ (∀y)(short(y) → taller(x, y)))
How can we show the proof?1c.
Proof:
Step 1:
Assume (person(s) ∧ person(t) ∧ short(s) ∧ tall(t))
Step 2:
From Step 1, we know that (person(s) ∧ person(t) ∧ short(s) ∧ tall(t)) is true.
Step 3:
Assume ¬ taller(s, t) is false, i.e. taller(s, t) is true.
Step 4:
From Step 3, taller(s, t) is true, which contradicts the assumption in (1c) that ¬ ∃s ∃t [person(s) ∧ person(t) ∧ short(s) ∧ tall(t) ∧ taller(s, t)].
Step 5:
From Step 4, it follows that ¬ taller(s, t) must be true, i.e. (person(s) ∧ person(t) ∧ short(s) ∧ tall(t)) → ¬ taller(s, t) is true.
Step 6:
Since Step 5 holds for any s and t that satisfy (person(s) ∧ person(t) ∧ short(s) ∧ tall(t)), it follows that
(∀s)(∀t)((person(s) ∧ person(t) ∧ short(s) ∧ tall(t)) → ¬ taller(s, t)) is true.
Hence, the proof is complete.
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Write a Boolean expression for a NOR gate. F(A,B)= Write the Boolean expression for a four-input NOR gate. F(A,B,C,D)= To implement a 1-bit adder, write a Boolean expression for the Carry function. CarryOut (A,B,C
i
)= Input: A, B Carry in: C
The Boolean expression for a NOR gate is F(A,B) = ~(A + B).
A NOR gate outputs a logical high (1) only when both of its inputs are low (0). The expression ~(A + B) represents the logical negation of the OR operation between inputs A and B, indicating that the output is high when both A and B are low.
The Boolean expression for a four-input NOR gate is F(A,B,C,D) = ~(A + B + C + D).
To implement a 1-bit adder, the Boolean expression for the Carry function is CarryOut(A, B, C) = (A && B) || (A && C) || (B && C).
The Carry function determines whether there is a carry-out from the addition of two bits (A and B) and an incoming carry (C). The expression combines AND and OR operations to account for all possible carry scenarios.
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P9.28 A large vacuum tank, held at 60 kPa absolute, sucks sea- level standard air through a converging nozzle whose throat diameter is 3 cm. Estimate (a) the mass flow rate through the nozzle and (b) the Mach number at the throat.
Answer:
a) \(m=0.17kg/s\)
b) \(Ma=0.89\)
Explanation:
From the question we are told that:
Pressure \(P=60kPa\)
Diameter \(d=3cm\)
Generally at sea level
\(T_0=288k\\\\\rho_0=1.225kg/m^3\\\\P_0=101350Pa\\\\r=1.4\)
Generally the Power series equation for Mach number is mathematically given by
\(\frac{p_0}{p}=(1+\frac{r-1}{2}Ma^2)^{\frac{r}{r-1}}\)
\(\frac{101350}{60*10^3}=(1+\frac{1.4-1}{2}Ma^2)^{\frac{1.4}{1.4-1}}\)
\(Ma=0.89\)
Therefore
Mass flow rate
\(\frac{\rho_0}{\rho}=(1+\frac{1.4-1}{2}(0.89)^2)^{\frac{1.4}{1.4-1}}\)
\(\frac{1.225}{\rho}=(1+\frac{1.4-1}{2}(0.89)^2)^{\frac{1.4}{1.4-1}}\)
\(\rho=0.848kg/m^3\)
Generally the equation for Velocity at throat is mathematically given by
\(V=Ma(r*T_0\sqrt{T_e}\))
Where
\(T_e=\frac{P_e}{R\rho}\\\\T_e=\frac{60*10^6}{288*0.842\rho}\)
\(T_e=248\)
Therefore
\(V=0.89(1.4*288\sqrt{248})\\\\V=284\)
Generally the equation for Mass flow rate is mathematically given by
\(m=\rho*A*V\)
\(m=0.84*\frac{\pi}{4}*3*10^{-2}*284\)
\(m=0.17kg/s\)
On a typical 120 volt circuit in your home, you may have a 15 ampere fuse or circuit breaker. What is the maximum power (watts) that this circuit can handle? How many 10 Watt light bulbs could you turn on without blowing the fuse?
Answer:
Maximum power is
P = V × I
P = 120 × 15
P = 1800 watt
A 40 HP motor with a load factor of 75% and an efficiency of 89.3% will be replaced with a 30 HP motor with a load factor of 100% and an efficiency of 93.6%. How many kW of power savings will be obtained from this project?
First, we need to calculate the actual power consumption of the 40 HP motor with a load factor of 75% and an efficiency of 89.3%.
Actual power consumption = Rated power x Load factor / Efficiency
= 40 HP x 0.75 / 0.893
= 33.6 kW
Next, we need to calculate the actual power consumption of the 30 HP motor with a load factor of 100% and an efficiency of 93.6%.
Actual power consumption = Rated power x Load factor / Efficiency
= 30 HP x 1 / 0.936
= 31.9 kW
The power savings from this project can be calculated as the difference between the actual power consumption of the 40 HP motor and the actual power consumption of the 30 HP motor.
Power savings = Actual power consumption of 40 HP motor - Actual power consumption of 30 HP motor
= 33.6 kW - 31.9 kW
= 1.7 kW
Therefore, the project will result in a power savings of 1.7 kW.
Which of the following is an example of a social need?
Answer:
A
Explanation:
a 227-ft length of canal is to be lined with concrete for erosion control. with 12% allowance for waste and overexcavation, the volume (yd3 ) of concrete that must be delivered is most nearly:
Answer:
First, we need to calculate the volume of concrete needed to line the canal. The volume of a cylinder is given by the formula:V = πr^2hWhere V is the volume, r is the radius of the cylinder, and h is the height (length) of the cylinder.Since we are lining a canal, the cross-sectional shape of the canal is a rectangle, not a circle. However, we can still use the formula for the volume of a cylinder by treating the width of the canal as the radius and the height of the canal as the length.In this case, the width of the canal is w and the height is h, so the volume of the concrete needed to line the canal is:V = πw^2hWe are given that the length of the canal is 227 ft, so h = 227 ft. We are not given the width of the canal, so we cannot use the formula to calculate the volume of concrete needed.Next, we need to calculate the volume of concrete needed with the 12% allowance for waste and overexcavation. The volume of concrete needed with the allowance is the original volume plus 12% of the original volume.The volume of concrete needed with the allowance can be calculated using the following formula:V' = V + (V * 12%)Where V' is the volume of concrete needed with the allowance and V is the original volume.Since we do not know the original volume, we cannot use this formula to calculate the volume of concrete needed.To solve this problem, we need to know the width of the canal in order to calculate the volume of concrete needed. Without this information, it is not possible to determine the volume of concrete that must be delivered.
Explanation:
Which of the following terms describes the path from an electrical source to a switch or plug?
transmitter
circuit breaker
raceway
breaker panel
Answer:
transmitter hope thus helped!
Explanation:
Raceway is the answer
"A raceway is an enclosed conduit that forms a physical pathway for electrical wiring."
who owns the building that is erected on land that has a ground lease
Answer:
The building that is erected on land that has a ground lease is typically owned by the tenant who has leased the land from the owner of the property. However, the terms of the ground lease may specify that the building and other improvements on the land revert to the owner of the property at the end of the lease term.
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- The four leading causes of death in the
construction industry include electrical
incidents, struck-by incidents, caught-in or
caught-between incidents, and
a. vehicular incidents
b. falls
C. radiation exposure
d. chemical burns
Consider a mild steel specimen with yield strength of 43.5 ksi and Young's modulus of 29,000 ksi. It is stretched up to a point where the strain in the specimen is 0.2% (or 0.002). If the specimen is unloaded (i.e. load reduces to zero), the residual strain (or permanent set) is: 0.05% 0.1% 0% 0.2%
Answer:
0.05%
Explanation:
From the question, we have;
The yield strength of the mild steel, \(\sigma _c\) = 43.5 ksi
Young's modulus of elasticity, ∈ = 29,000 ksi
The total strain, \(\epsilon _c\) = 0.2% = 0.002
The inelatic strain \(\epsilon_c^{in}\) is given as follows;
\(\epsilon_c^{in}\) = \(\epsilon _c\) - \(\sigma _c\)/∈
Therefore, we have;
\(\epsilon_c^{in}\) = 0.002 - 43.5/(29,000) = 0.0005
Therefore, the inelastic strain, \(\epsilon_c^{in}\) = 0.0005 = 0.05%
Taking the inelastic strain as the residual strain, we have;
The residual strain = 0.05%
Employees cannot be held legally responsible for an environmental violation.
Answer:
It does not take into consideration what the responsible party knew about the law or regulation they violated. Environmental criminal liability is triggered through some level of intent.
In regards to whether an employee can be held legally liable for environmental violations, this statement is False.
Environmental ViolationsThese are offences against existing environmental laws. Apply to those who commit it and those who willfully ignored the crime.This means that if an employee notices that a company is responsible for environmental violations, and does nothing about it, they could be held legally responsible for the violation as well.
In conclusion, this is true.
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Explain the working of single stage Impulse Generator with circuit diagram.
An impulse generator is an electronic circuit that generates a short duration high voltage pulse. It is commonly used to simulate lightning, switching surges, and other transient events that may occur on a power system, electronic device, or transmission line.
A single-stage impulse generator is a simple circuit that produces a high voltage pulse of duration typically less than 100 nanoseconds. This circuit is widely used in laboratories, test facilities, and industries to test the dielectric strength of insulation materials, electronic devices, and cables. The circuit works on the principle of charging a capacitor and then discharging it through a spark gap that produces a high voltage pulse across the load.
The circuit diagram shows that initially, the charging resistor R1 and the capacitor C1 are in series, and the charging voltage source V is applied to them. The capacitor C1 charges slowly to the value of the charging voltage, and when it reaches the breakdown voltage of the spark gap G1, the capacitor discharges abruptly through the spark gap G1, producing a high voltage pulse across the load L.
The pulse amplitude and duration depend on the values of the charging voltage V, the capacitance C1, the charging resistor R1, and the spark gap breakdown voltage. The pulse amplitude can be calculated using the voltage divider rule. The circuit works on the principle of an inductor, a capacitor, and a spark gap. Here, the inductor is represented by the wire connecting the two capacitors, and the capacitor is represented by the two capacitors connected in parallel with the load. The spark gap represents a discharge path.
When the input voltage is applied, the capacitor C1 gets charged. Once the voltage across the capacitor exceeds the breakdown voltage of the spark gap G1, the capacitor discharges abruptly, producing a high voltage pulse across the load L. This high voltage pulse has a steep front, which makes it suitable for testing the dielectric strength of the insulation material, electronic devices, and cables.
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When an exception is thrown within a function and it is not caught within that function, the function is immediately exited and the calling function is checked for a _____.
a)different value
b)try
c)user instruction
d)handler
When an exception is thrown within a function and it is not caught within that function, the function is immediately exited and the calling function is checked for a try.
What is an exception?During the execution of a programme, when an exception—anomalous or exceptional conditions requiring special processing—occurs, exception handling—a process used in computing and computer programming—responds to the situation.
The specifics of how this is done vary depending on whether it is a hardware or software exception and how the software exception is implemented, but generally speaking, an exception interrupts the normal flow of execution and executes a pre-registered exception handler.
If provided, exception handling is made possible by specialised programming language constructs, hardware mechanisms such as interrupts, or operating system (OS) inter-process communication (IPC) features such as signals. Some exceptions, particularly those relating to hardware, may be handled so politely that execution can pick up where it left off.
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the pressure rise, across a pump can be expressed as where D is the impeller diameter, p, is the fluid density, w is the rotational speed, adn q is the flowrate. determine a suitable set of dimensionless parameters
Answer:
hello your question is incomplete below is the complete question
The pressure rise Δp across a pump can be expressed as Δp = f(D, p, w, Q) where D is the impeller diameter, p is the fluid density, w is the rotational speed, and Q is the flowrate. determine a suitable set of dimensionless parameters
answer : Δp / D^2pw^2 = Ф (Q / D^3w )
Explanation:
k ( number of variables ) = 5
r ( number of reference dimensions ) = 3
applying the pi theorem
hence the number of pi terms = k - r = 5 - 3 = 2
The UHRS platform is optimized for Edge/Internet Explorer only. You can still use your favorite browser, but keep in mind that you may experience technical issues when working on UHRS with a different browser than Edge or Internet Explorer.
UHRS is optimized for...
It is to be noted that all UHRS platforms are optimized for the popular kinds of internet browser applications.
What is a UHRS?The Universal Human Relevance System (UHRS) is a crowdsourcing platform that allows for data labeling for a variety of AI application situations.
Vendor partners link people referred to as "judges" to offer data labeling at scale for us. All UHRS judges are bound by an NDA, ensuring that data is kept protected.
A browser is a software tool that allows you to see and interact with all of the knowledgeon the World Wide Web. Web sites, movies, and photos are all examples of this.
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You are writing a program to analyze the financial data for a set of companies. Your coworker gives you a text file of company data. However, you are worried that your coworker didn't type the data in correctly. Write a program that will tell you if the data is correctly formatted.
Here is a simple example of how you could write a program to check whether the data in a text file is correctly formatted:
def check_data_format(filename):
# Open the file and read the contents
with open(filename, 'r') as f:
data = f.read()
# Split the data into lines
lines = data.split('\n')
# Check the number of fields in each line
num_fields = len(lines[0].split(','))
for line in lines:
if len(line.split(',')) != num_fields:
print("Incorrect number of fields in line:", line)
return False
# Check the data types of each field
for line in lines:
fields = line.split(',')
for field in fields:
try:
float(field)
except ValueError:
print("Incorrect data type in field:", field)
return False
# If the code execution reaches this point, the data is correctly formatted
return True
# Example usage
if check_data_format('company_data.txt'):
print("Data is correctly formatted")
else:
print("Data is NOT correctly formatted")
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two technicians are discussing catalytic converters technician a says that the exhaust mixture must fluctuate between rich and lean mixture for the best l efficiently technician b says that the air fuel mixture must be leaner than 14:7:1 for best performance from a three way catalytic converter who is correct
Answer:
A
Explanation:
prove that the heat transfer at the constant pressure is given by the enthalpy change during the process
Answer:
at constant pressure, the heat flow for any process is equal to the change in the internal energy of the system plus the PV work done. Comparing the previous two equations shows that at constant pressure, the change in the enthalpy of a system is equal to the heat flow: ΔH=qp.
Explanation:
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Some analysts believe that the exclusion of some traditional partners from the "democratic camp" by the United States will deepen the gap between the two sides; the invitation of some countries or regions suspected of "democratic retrogression" will affect the "credibility" of the summit.
The exclusion of some traditional partners from the "democratic camp" by the United States will undoubtedly deepen the gap between the two sides.
About summit :
This move by the US is seen as a sign of its dissatisfaction with the policies and behavior of these countries. In addition, the invitation of some countries or regions suspected of "democratic retrogression" may lead to further erosion of the credibility of the summit in the eyes of the invited countries, as well as the international community. At the same time, it is worth noting that the United States must consider the consequences of such actions and the possible damage to its international image. If the US is seen as selectively choosing partners, it may undermine its overall influence in the world.
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Faster air movement over an airfoil creates a _________ pressure field, which in turn allows lift.
a
Higher
b
Lower
Hai
Your answer will be A.
If you lower the Air Pressure your Object will Float Down ward. The Air Pressure allows it to Fly.
The pressure field created by faster air movement over an airfoil is; A: higher
What is pressure field?When the air hits the front of the wing, the air will flow in a steeper curve upward, than the bottom wing flow which will lead to the creation of a vacuum on top of the wing that pulls more air towards the top of the wing.
Finally, this air above does the same thing but it will move faster as a result of the vacuum pulling it in, and as such the vacuum now lifts the wing. Thus, Faster air movement over an airfoil creates a higher pressure field.
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where noncombustible surface material is used on walls or ceilings, outlet boxes must be mounted so that they will be set back not more than from the face of the surface material. a. 1/16 in. (1.5 mm) b. 1/8 in. (3 mm) c. 1/4 in. (6 mm) d. 1/2 in. (12 mm)
The border of the outlet box may be placed back up to 1/4 inch from the completed surface in walls or ceilings made of noncombustible materials like concrete or tile.
What is the newest ceiling style?Giving architectural details a slight twist will be popular in 2023; examples include switching out squares for triangles in a coffered ceiling, using a different shade or material for the tray ceiling's top, and using inventive lighting.
What is a ceiling alternative to drywall?Trusscore Wall&CeilingBoard can be used in place of drywall for ceilings. Because Wall&CeilingBoard weighs less than pounds for a seven length, installation only requires one person.
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