Engineers designed a motorcycle helmet from a long-lasting and safe material that protects the wearer from accidents and excessive heat. What is one technological design criterion that the engineers still need to meet

The controller determines if a(n) error exists by calculating the difference between the SP and the PV.

The Control system is one where it entails if the output is one that has an effect on the input quantity.

So it uses the PV(Process Variable) set against the SP(Setpoint) to know if an error exists.

So, The controller determines if a(n) error exists by calculating the difference between the SP and the PV.

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The Set Square should be placed against the lower edge of the T-Square, so the statement is true.

The T-square must be placed up against the edge of the drawing board. There must be no gaps otherwise the paper will not be set up correctly and drawing accurate horizontal and vertical lines will be impossible. The T-square must be placed up against the edge of the drawing board. There must be no gaps otherwise the paper will not be set up correctly and drawing accurate horizontal and vertical lines will be impossible.

With that being said, it is true that the set square should be placed against the lower edge of the T-square.

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(a) The solution to the system of equation is, x = (d + b)/(ad - cb) and y = (-a - c)/(ad - cb).

(b) The condition at which the solution exists is, ad - cb ≠ 0.

ax + by = 1

cx + dy = -1

D = [a   b]

      [c    d]

D = ad - cb

Dx = [1   b]

       [-1   d]

Dx = d + b

Dy = [a   1]

       [c  - 1]

Dy = -a - c

x = Dx/D

x = (d + b)/(ad - cb)

y = Dy/D

y = (-a - c)/(ad - cb)

Cramer's rule applies to the case where the coefficient determinant is nonzero.

Thus, D ≠ 0 (ad - cb ≠ 0).

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The height at which the mass will be lifted is; 3 meters

Formula for efficiency is;

η = useful output energy/input energy

We are given

η = 60% = 0.6

Input energy = 4 KJ = 4000 J

Thus;

0.6 = useful output energy/4000

useful output energy = 0.6 * 4000

useful output energy = 2400 J

Work done in lifting mass(useful output energy) = force * distance moved

Useful output energy = 800 * h

where h is height to lift mass

Thus;

800h = 2400

h = 2400/800

h = 3 meters

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Diode logic gates are not suitable for cascading operation because the pull-down or pull-up resistance within makes them a high output resistance device.

A cascading operation can be defined as a process which involves the use of a circuit breaker's current-limiting capacity in order to enable an installation of lower-rated and lower-cost circuit breakers.

According to the National Electrical Code (NEC), diode logic gates are not suitable for cascading operation because the pull-down or pull-up resistance within makes them a high output resistance device.

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A diagram showing a use case diagrams for these requirements is given in the image attached.

A use case diagram is known to be a kind of graphical illustration of a users in terms of their various possible association or interactions within any given system.

A use case diagram in banking can be used to prepare, depict and also to know all the functional requirements of the banking system.

Therefore, Give the use case specification for the banking system services and paying a bill online is given in the image attached.

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The factor of Safety by Maximum Distortion Energy Theory is given as: N = 6.04

According to this idea, failure by yielding happens when the distortion energy per unit volume in a condition of combined stress equals that associated with yielding in a basic tension test at any location in the body.

Note that we are given the following:

A solid Steel bar subjected to a bending force of F = 55kN

Torsional load T = 30 kN-mm; and

Yield Strength (sy) = 280Mpa

Sut = 330 Mpa

The formula for Normal Stress is given as:

[tex]\alpha _{x}[/tex] = [UP/πd²] + [ (32* f * L)/πd³]

= [(4 * 8 * 10³)/π * (0.02)²] + [(32 * 55 *10³ * 0.1)/ π * (0.02)³]

= 25.46 + 7.003

[tex]\alpha _{x}[/tex]= 32.5 Mpa

Tyz = (16T)/πd³

= (16 * 30)/ π * (0.02)³

= 19.098

Tyz = 19.098

Following from the above, sate of stress, we have:

α₁ = αₓ = 32.46 Mpa; and

α₂ = Tyz = 19.098 Mpa;

α₃ = -Tyz = -p19.098 Mpa;

Utilizing the formula given by the Maximum Distortion Energy Theory:

α₁² + α₂² + α₃² - (α₁α₂ + α₂α₃ + α₃α₁)

= Sy²/N²

→ 32.46² + 19.098² + 19.098² - ( 32.46* 19.098 - 19.098² -32.46 *  19.098)

= 280/N²

N = 6.04

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The number of receptacles that are needed for all of these kitchen areas are: C. Four.

Receptacles can be defined as types of sockets or series of outlets (openings) that provides a path where current can be taken in a wiring system, so as to run electrical appliances in buildings.

Based on the information provided, the number of receptacles that are needed for all of these kitchen areas are four because one would be used in each area.

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The project is going to scope if the situation happens. Option A is correct.

Project managers are in charge of organizing, planning, and guiding the execution of certain projects for an organization .

As the project manager, you grant a team member's request to rearrange their work in a way they believe will increase productivity.

However, this modification interferes with another team member's workflow since they now have to complete two more activities that are unrelated to the project's objective. The project will be within its scope.

Hence option A is correct.

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The heavy plough is the most important tool that Miguel left out of his presentation. The correct option is D.

The heavy plough was an important tool in the Iron Age and Middle Ages because it allowed farmers to cultivate more land and produce more food. This led to a population increase and a more prosperous society.

The other tools mentioned are also important, but they are not as essential as the heavy plough.

The hammer is useful for building homes, but it is not as important as the plough for food production. The drinking vessel is essential for carrying water, but it is not as important as the plough for advancing food production.

Fencing is useful for creating separation between properties, but it is not as important as the plough for advancing food production.

Therefore, the correct option is D.

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Answer:

the function of the regulator in a power supply:-

A voltage regulator is a component of the power supply unit that ensures a steady constant voltage supply through all operational conditions. It regulates voltage during power fluctuations and variations in loads. It can regulate AC as well as DC voltages.

Explanation:

(❁´◡`❁)

Answer:-
The power of regulators to grant significant benefits to, or impose restrictions or penalties on, members of the public – and the extra profits to be gained from avoiding regulations – increases the risks of corruption. Regulators also have a role in collecting and protecting government revenue.

The skin surface temperature is 307.2 K and the  rate of heat loss is 146 W.

The skin surface temperature may be obtained by performing an energy balance at the skin surface to give the formula;

k(T_i - T_s)/L = h(T_s - T_∞) + h_r(T⁴_s - T⁴_surr)

Now, T_surround = T_s and so making T_s the subject gives us;

T_s = [(k*T_i)/L + (h + h_r)T_∞]/((k/l)

Using the equation h_r = εσ(T_s + T_surr)(T²_s + T²_surr) we can find h_r with a guessed value of T_s = 305 K and T∞ = 297 K, to yield h_r = 5.9 W/m².K.

Then, substituting numerical values into the T_s equation, we have;

T_s = [(0.3 * 308)/(3 * 10⁻³) + (2 + 5.9)297]/[((0.3 * 308)/(3 * 10⁻³)) + (2 + 5.9)]

T_s = 307.2 K

Thus the skin temperature is 307.2 K.

The rate of heat loss can be found by evaluating the conduction through the skin/fat layer:

q_s = kA(T_i - T_s)/L

q_s = 0.3*1.8(308 - 307.2)/(3 * 10⁻³)

q_s = 146 W

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Diode logic gates are not suitable for cascading operation because the pull-down or pull-up resistance within makes them a high output resistance device.

A cascading operation refers to a process in electrical engineering which involves the use of a circuit breaker's current-limiting capacity, so as to enable an installation of lower-rated and lower-cost circuit breakers.

According to the National Electrical Code (NEC), diode logic gates are not entirely suitable for cascading operation due to the fact that the pull-down or pull-up resistance within makes them a high output resistance device.

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A regulator is required on a nitrogen cylinder in order to reduce very high pressure within the gas cylinder to a safer pressure.

A regulator can be defined as a mechanical device that is designed and developed to ensure that a controlled amount of nitrogen gas is supplied from a gas cylinder.

This ultimately implies that, a regulator is required on a nitrogen cylinder in order to reduce very high pressure within the gas cylinder to a safer pressure.

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Electronic returnless fuel systems use an  in-line fuel supply pump.

Electronic returnless EFI systems is known to bean “On Demand” returnless EFI systems due to the fact that it make use of fuel tank pressure sensor to examine fuel pressure.

Therefore, one can say that an Electronic returnless fuel systems use an  in-line fuel supply pump.

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The total hours that are necessary to reduce carbon dioxide level to at least 325 ppm are 4 hours.

First hour:

Second hour:

Third hour:

Fourth hour:

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The Bidirectional Shift Register is the shift register that allows one to write a 5bit register if the series is shifted from left to right.

A 5-bit register is valuable because it can represent up to 32 items. It is to be noted that a bit is a digit that is binary that is indicative of two states.

While a 5-bit register can have a possible number of 32 values,

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The modifications of superheating and reheat for a vapor power plant are specifically better for the operation which of the following components b.Boiler.

There are 5 steam strength cycles: The Carnot cycle, the easy Rankine cycle, the Rankine superheat cycle, the Rankine reheat cycle and the regenerative cycle.

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A statement which isn't true is that: B. we can find the Thevenin resistance for any circuit by zeroing all sources and finding the equivalent resistance of the resulting network.

In Electrical engineering, the true statements about Thevenin's theorem and Norton's theorem include the following:

In this context, we can infer and logically deduce that we cannot find the Thevenin resistance for an electrical circuit by zeroing all sources and finding the equivalent resistance of the resulting network.

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Answer:

  shorted

Explanation:

A diode is a device that passes current much better in one direction than in the reverse direction.

Conceptually, an ohmmeter applies a voltage to the device under test and reports the current through the device on a scale calibrated in ohms. It typically has a low enough open-circuit voltage, and a high enough internal resistance so as to avoid damage to parts under test.

A "continuity" tester may have an open-circuit voltage of a few tens of millivolts and/or a short-circuit current of a few microamps, so as to properly detect continuity and avoid contact damage in "dry" circuits. Such a tester is virtually useless for diode testing.

An ohmmeter suitable for diode testing will generally have an open-circuit voltage of a few volts, and a short-circuit current of a few milliamps. When such a meter is used to test a diode, it will indicate a few kilohms (or less) in the "forward" direction, and several 10s or 100s of megohms in the reverse direction.

If the "forward" resistance reading is unusually low (a few ohms), the diode may be damaged. If both forward and reverse readings are unusually low, the diode my be considered to be shorted.

This is about the geometrics When you hear “geometry,” mind of shapes, area, and quantity likely come to mind—and this is exactly what geometry is Geometry, similar to algebra, is constructed on a mathematical ruleset.

Geometry comes from  Greek words, “ge” meaning “earth” and “metria” meaning “measuring.” The technique to Geometry evolved with the aid of using the Ancient Greeks has been used for over 2000 years as the idea of geometry. According to NCTM Standards:

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It is to be noted that it is impossible to find the Maclaurin Expansion for F(x) = cotx.

The Maclaurin Expansion is a Taylor series that has been expanded around the reference point zero and has the formula f(x)=f(0)+f′. (0) 1! x+f″ (0) 2! x2+⋯+f[n](0)n!

as indicated above, the Maclaurin infinite series expansion is given as:

F(x)=f(0)+f′. (0) 1! x+f″ (0) 2! x2+⋯+f[n](0)n!

If F(0) = Cot 0

F(0) = ∝ = 1/0

This is not definitive,

Hence, it is impossible to find the Maclaurin infinite series expansion for F(x) = cotx.

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HP Fiberglass Insulation is superior for sound control and has a better thermal property.

Fiberglass is a better insulator than wood. It is available in various widths, with the widest being 3/4 inch and having an R-value of 0.94. However, the R-value of fiberglass, the thinnest of which is 3/4 inch, is 3. Fiberglass is a superior insulator as a result.

Thus, option B is correct.

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By mixing hot water with cold water, the tempering valve enables hot water to be kept at a temperature that kills bacteria while distributing it to the fixtures at a temperature that won't burn people. By adjusting the tempering valve's adjuster, the required temperature may be set for the valve. A thermostatic mixing valve can hold water at 1°C +/- and responds more quickly to changes in incoming water temperature than a tempering valve, which is accurate to around 3°C +/-.

By using the binomial probability formula, the probability of at least two 3's is equal to 0.1319.

Since the fair cubical die is thrown four times, the number of times is given by n = 4 and the probability of 3's is P = 1/6.

Mathematically, the binomial probability formula is given by:

[tex]P(X \geq x) =\sum^{n}_{r=x} ^nC_r (p)^r (q)^{(n-r)}\\\\P(X \geq 2) = \; ^4C_2 (\frac{1}{6} )^2 (\frac{5}{6} )^{(4-2)} + ^4C_3 (\frac{1}{6} )^3 (\frac{5}{6} )^{(4-3)} + ^4C_4 (\frac{1}{6} )^4 (\frac{5}{6} )^{(4-4)}\\\\P(X \geq 2) = 6 \times \frac{1}{36} \times \frac{25}{36} + 4 \times \frac{1}{216} \times \frac{5}{36} + 1 \times \frac{1}{1296} \times 1\\\\P(X \geq 2) = \frac{150}{1296} + \frac{20}{1296}+ \frac{1}{1296}[/tex]

P(X ≥ 2) = 19/144

P(X ≥ 2) = 0.1319.

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Fire wall is a home that has its own roof, foundation, and a wall that extends from the roof through the foundation.

This is known to be a form of rated assembly that ranges from the foundation to and via the roof of a building to lower the rate of fire spread.

Note that, Fire wall is a home that has its own roof, foundation, and a wall that extends from the roof through the foundation.

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Waves in the electric and magnetic fields are known as electromagnetic waves. You must first understand what a field is, which is just a technique of giving each square inch of space a numerical value. You may see that as a temperature field, for instance, when you look at the weather predictions and they mention the temperature in several locations. Every location on Earth has a unique temperature that can be quantified. Everywhere on Earth has its own wind velocity, which is another form of field. This field differs somewhat from the temperature field in that the wind velocity has both a direction and a magnitude, whereas the temperature just has a magnitude (how hot it is). A vector is a quantity that has both magnitude and direction, hence a field that contains vectors at every location is referred to as a vector field. Vector fields include the magnetic and electric fields. We may examine what would happen if we placed a charged particle at any given position in space. If the charged particle were to accelerate, we would state that the electric field there is the direction in which the particle is moving. In general, positively charged particles will move in the electric field's direction, whereas negatively charged particles will move in the opposite way. Because it is a vector field, the magnetic field exhibits comparable behavior. We discovered in the 19th century that the same interaction, electromagnetism, really produces both electric and magnetic fields. Like an electromagnet, a changing electric field will produce a magnetic field, and a changing magnetic field will induce an electric field (like in a generator). If your system is configured properly, you may have an electric field that fluctuates, which in turn produces a magnetic field, which in turn induces another electric field, which in turn generates another magnetic field, and so on indefinitely. At the speed of light, this oscillation between a strong magnetic field and strong electric field spreads out indefinitely. In reality, light is an electromagnetic wave—an oscillation in the electromagnetic fields. An electric or magnetic field may exist without a medium since they exist in a vacuum, which implies that waves in these fields don't require a medium like sound to flow through.

Norton's theorem in regards to  linearity property​ is known to be one that employ the use of a current source while the Thevenin's theorem is known to be one that employ the use of a voltage source.

Thevenin's theorem make use of a resistor in a kind of series, but Norton's theorem is known to use a resister set in a kind of parallel way in line with the source.

Norton's Theorem is known to be a law that states that one can be able to simplify any form of  linear circuit, no matter how difficult or hard that it may be, to an equivalent circuit through the use of only one current source and also the use of a parallel resistance linked to a load.

Note that, Norton's theorem in regards to  linearity property​ is known to be one that employ the use of a current source while the Thevenin's theorem is known to be one that employ the use of a voltage source.

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The graph of the function y = (sin x)/(x * 2-1) is given in the attached image.

Recall that a graph is a visual representation of data or depiction of the mathematical relationships between various factors in a mathematical function.

A function in math is a rule, or theorem defining a connection between one variable (the independent variable) and another (the dependent variable).

It is to be noted that functions are common in mathematics and are required for the formulation of physical connections in the sciences.

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