24 (refer to figures 32, 33.) which action can adjust the airplane's weight to maximum gross weight and the cg within limits for takeoff? front seat occupants 425 lb rear seat occupants 300 lb fuel, main tanks 44 gal

A gas expands from I to f along the three paths shown in the diagram. compute the work done on the gas along paths (a) W = 810.4 J (b) W = 506.5 J (c) Wtot = 202.6 J

Along pathIAF,

the work done is the area under the curve,

W = (4 atm)(2 L)

W = 8 L-atm

Now, what's a liter-atmosphere? We solved that in the last chapter. But let's do it again here. 1.0 atm =1.013 x 10 + 5 Pa = 1.013 x 10 5N/m2

1 L-atm = 1 L-atm [ 10 - 3m3 / L] [(1.013 x 105 N/m2) /atm]

1 L-atm = 101.3 N-m = 101.3 J

W = 8 L-atm [101.3 J/L-atm]

W = 810.4 J

Along pathIBF,

the work done is still the area under the curve. Now we can describe that as the area of the rectangle BFDA plus the area of the triangle IBF.

W = ABFDA +AIBF

W = (1 atm)(2 L) +(1/2)(3 atm)(2 L)

W = 5 L-atm

W = 5 L-atm [101.3 J/L-atm]

W = 506.5 J

Along pathIAF,

There is no work done along the path IB; this is a constant volume process (this is also known as an isometric process). Along path BF, there is work done.

Wtot = WIB +WBF

Wtot  = 0 + 2L-atm

Wtot  = 2 L-atm

Wtot = 202.6J

Gas, along with liquid, solid, and plasma, is one of the four natural states of matter. A gas has neither a fixed shape nor a fixed volume. The gas's atoms or molecules fill the container. Even when gravity is present, the gas expands until it is uniformly distributed throughout the container.

Correct question is:

A gas expands from I to F along the three paths indicated in the figure below. Calculate the work done on the gas along each of the following paths.

(a) IAF (in J) =

(b) IF (in J) =

(c) IBF (in J) =

The images supporting question is attached below

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c. the gravity acceleration is in the same direction as the force of gravity, and thus toward the center of the earth: accurately describes the force of gravity.

The force that pulls items toward the centre of a planetary or other body is known as gravity. The gravitational pull maintains each of the planet in orbit about the sun. The degree to which a coordinate in space-time is invisibly bent determines the intensity of the gravitational "field" at any given place in space or time. Massive items tumble down these bends in the direction of one another. The stronger the attraction between items, the more matter there is, and the closer together things are. And unlike electricity and magnetism, which may either repel or attract, gravity always draws objects together.

Thus, correct option is: c

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Cassius accuses Brutus of wrongdoing in this scenario. Brutus responds by accusing Cassius of bribery and reminding him that they killed Caesar in order to prevent him from becoming corrupt, not to become corrupt themselves.

Cassius' resentment is revealed through these contrasting elements as a result of his perceived equality with Caesar, but his reality that he is lower than him. As a result, Cassius' anger demonstrates how perceived disparity promotes resentment and envy, causing a poisonous relationship.

The argument becomes heated, and Cassius pulls his knife, daring Brutus to murder him

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The particles in a liquid have enough energy to transform into gases at a specific temperature. Boiling (or vapourization) is the conversion of a liquid into a gas; condensation is the conversion of a gas into a liquid.

Melting is the process through which a solid transforms into a liquid (an older term that you may see sometimes is fusion). It is known as solidification when a liquid turns into a solid. Any pure substance's melting point, or the temperature at which melting starts, is a property of that substance. For a solid to turn into a liquid, energy is needed. Each pure material requires a specific quantity of energy to transform from a solid to a liquid. The symbol for this quantity, Hfus, stands for the substance's enthalpy of fusion (also known as heat of fusion). In Table 10.2, "Enthalpies of Fusion for Various Substances," a number of Hfus values are provided;

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The answers are:

a.) The translational kinetic energy of its center of gravity:  638.144J  

b.)The rotational kinetic energy about its center of gravity 319.072 J

c.) Its total kinetic energy 957.216 J

Given:

M = 11.8 kg cylinder

V = speed of center of gravity = 10.2m/s

(a) Translational kinetic energy = 1/2mv²

1/2x 11.8kg x 10.2²

= 11.8x108.16/2

= 1276.288/2

= 638.144 J

This is the translational energy

(b) Rotational energy =1/2Iw²

I = mv²/2

w = v/r

When we substitute

1/2[mv²/2][v/r]²

= 1/4mv²

= 1/4 x 11.8 x 10.2²

= 1276.288/4

= 319.072

This is the rotational energy

(c) Total kinetic energy:

We add the values of A and B above to get this.

638.144 J + 319.072 J

= 957.216J

Complete question: A 11.8-kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a speed of 10.2 m/s, determine the following. (a) the translational kinetic energy of its center of gravity (b) the rotational kinetic energy about its center of gravity (c) its total kinetic energy.

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Explanation:

Force= mass × acceleration

= 3.6 × 4.2

= 15.12N

If the mass of the box is 3.6 kg and it is accelerating with 4.2 m/s², then the force exerted on the box is 15.12 N.

The definition of force is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends. Only when there is interaction do forces actually exist.

The strong force, weak force, electromagnetic force, and gravitational force are the four fundamental forces operating in the universe. The formula of force is  Force = mass × acceleration.

Hence, if the mass of the box is 3.6 kg and it is accelerating with 4.2 m/s², then the force exerted on the box is 15.12 N.

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The road force on the wheel weigh is 690.

Your automobile advances under the influence of static friction. The power to turn the tires is provided by the engine, which pushes the vehicle rearward against the road.

Example:

The axle of the wheel that is in touch with the road receives a 200 mN torque from a car's engine.

The vehicle moves rightward at a steady speed:

The automobile wheel measures 0.58 meters in diameter. What does the horizontal component of the road force on the wheel weigh?

Radius: 0.29 m

When formula is used, we obtain

Force = Torque / Radius = 200/0.29

=690.

It is the necessary response as a result.

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Pluto masses 1.3e22 kg, and its average distance from the sun is about 6e15 km. The sun’s mass is 2e30 kg. G is 6.7e−11 m^3 / kg⋅s^2.

What is meant by mass?

So the force of gravity is

f = G M1 M2 / d^2

= 6.7e-11 x 1.3e22 x 2e30 / 5e15^2

= .7e11 N = 70 billion newtons.

One might say, not insignificant.

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The linear density of the string is 2.86 x 10^-5 kg/m.

What is linear density?

Linear density, also known as linear mass density, is a measure of the mass of a material per unit length. It is typically used to describe the properties of thin, elongated objects such as strings, wires, and fibers. The unit of measurement for linear density is typically kilograms per meter (kg/m) or grams per centimeter (g/cm). It is calculated by dividing the mass of the material by its length.

To find the linear density of the string, we need to use the relationship between the tension, linear density, and wave properties, which is given by the equation:

Tension = (linear density) * (wave speed)^2

where wave speed is the product of the frequency and wavelength of the wave.

Given the tension, period and wavelength, we can find the linear density using the following steps:

frequency = 1 / period = 1 / 3.82 x 10^-3 s = 261.9 Hz

wave speed = wavelength * frequency = 1.26 m * 261.9 Hz = 331.9 m/s

Tension = (linear density) * (wave speed)^2

944 N = (linear density) * (331.9 m/s)^2

linear density = Tension / (wave speed)^2 = 944 N / (331.9 m/s)^2 = 2.86 x 10^-5 kg/m

Therefore, the linear density of the string is 2.86 x 10^-5 kg/m.

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The correct formula for determining total resistance in a circuit containing three resistors in parallel is [tex]\mathbf{R_t=R_1+R_2...+R_n}[/tex]. Thus, option C is correct.

Two or more resistors are said to be connected in series when the same amount of current flows through all the resistors. In such circuits, the voltage across each resistor is different. In a series connection, if any resistor is broken or a fault occurs, then the entire circuit is turned off. The construction of a series circuit is simpler compared to a parallel circuit.

the total resistance is given as:

Rₜₒₜₐₗ = R₁ + R₂ + ….. + Rₙ

The total resistance of the system is just the total sum of individual resistances.

For example, consider the following sample problem.

A resistor with an electrical resistance value of 100 ohms is connected to another with a resistance value of 200 ohms. The two resistances are connected in parallel. What is the total resistance across the system?

Here, R₁ = 100 Ω and R₂ = 200 Ω

Rₜₒₜₐₗ  = 100 + 200 = 300 Ω

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Complete question:

Which is the correct formula for determining total resistance in a circuit containing three resistors in parallel?

a. [tex](R_1^{-1}+R_2^{-1}...R_n^{-1})^{-1}[/tex]

b. [tex]L_t=L_1+L_2...+L_n[/tex]

c. [tex]R_t=R_1+R_2...+R_n[/tex]

d. [tex]X_L_ = 2 \pi f \times L[/tex]

(a) The number of electrons on the T-shirt is 700 electrons.

(b) The mass of the particle attached to your T-shirt is 1.5 x 10⁻²⁴ kg.

The number of electrons on the T-shirt is calculated as follows;

Let the number of electrons = e

Let the number of protons = p

p + e = 1596 ------ (1)

p = 1596 - e ------ (2)

qp - qe = -3.14 x 10⁻¹⁷ ------- (3 )

The equation (3) can be simplified as;

q ( p - e ) = -3.14 x 10⁻¹⁷ -------- (4)

Now substitute the value of p into (4)

q (1596 - e - e) = -3.14 x 10⁻¹⁷

q (1596 - 2e) = -3.14 x 10⁻¹⁷

1596 - 2e = ( -3.14 x 10⁻¹⁷ ) / ( q )

1596 - 2e = ( -3.14 x 10⁻¹⁷ ) / ( 1.6 x 10⁻¹⁹ )

1596 - 2e = 196.25

2e = 1596 - 196.25

2e = 1399.75

e = 1399.75 / 2

e = 700 electrons

The mass of the particle attached to your T-shirt is calculated as follows;

m = (700 x me ) + ( 896 x mp)

m = ( 700 x 9.1 x 10⁻³¹ ) + ( 896 x 1.67 x 10⁻²⁷ )

m = 1.5 x 10⁻²⁴ kg

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A box slides down a frictionless ramp, then it takes approximately 0.87 seconds for the box to reach 1.00 m/s.

The force resisting relative motion of solid surfaces, fluid layers, and material elements sliding against each other is called friction.

As, v^2 = u^2 + 2as

Given, v = final velocity = 1.00 m/s ; u = initial velocity = 0 m/s (since the box is at rest) ; a = acceleration due to gravity = 9.8 m/s^2 and s = distance covered = 1.00 m

So, s = 1.00 m = x x sin(40.0 degrees)

x = 1.00 m / sin(40.0 degrees)

(1.00 m/s)^2 = 0^2 + 2(9.8 m/s^2) (1.00 m / sin(40.0 degrees))

t = √((1.00 m/s)^2 - 2(9.8 m/s^2) (1.00 m / sin(40.0 degrees)) )/ (2(9.8 m/s^2))

Hence, t ≈ 0.87 sec

It takes approximately 0.87 seconds for the box to reach 1.00 m/s.

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Because a system's resonant frequency is related to its mass, the resonant frequency of a system falls as the level of fluid in the system drops.

Natural frequency, as it is commonly understood, is the usual supply source frequency, which is often 50 or 60 hertz. The resonant frequency is 1/2pi multiplied by 1/LC.

Depending on where you reside, the natural frequency is either 50Hz or 60Hz. Resonance can happen at any multiple of the fundamental frequency (natural).

A larger amplitude of sound waves signifies a higher sound pressure and hence a bigger volume in acoustics. In general, resonant frequencies are unfavourable for loudspeakers.

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Answer:

576 joules

Hope this helped :)

a) The change in the angular velocity is - 3.40 rad/s.

b) The angular acceleration is -1.36rad/s^2.

We have to note that the change in the angular velocity would be obtain as the difference between the initial and the final angular velocity of the bicycle tire.

Then we would have that;

Change in the angular velocity = 0 rad/s - 3.40 rad/s = - 3.40 rad/s

We know that the angular acceleration = Change in the angular velocity/Time

= - 3.40 rad/s/2.5 s

= -1.36rad/s^2

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According to collision theory, the quantity of reactant molecule collisions determines how quickly a chemical reaction proceeds. The pace of reaction increases with the frequency of reactant-molecule collisions.

The average pace of particles increases with temperature, which increases the rate of particle collisions. The average kinetic power of collisions increases with temperature, increasing the proportion of collisions that require the least amount of energy to react.

Reactant particles need to have a certain minimum energy in order to make an efficient collision. The activation energy is the energy that starts the reaction.

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Answer:

45.9 m

Explanation:

KE = 1/2mv² = 225 J

PE = mgh

If all the KE is converted to PE, then:

(0.50 kg)(9.8 m/s²)(h) = 225 J

h = (225 J) / (0.50 kg)(9.8 m/s²) = 45.9 m

Answer:

11

Explanation:

MA = Fout / Fin = 55 N / 5 N = 11

The initial elastic potential energy of the block-spring system is 17.88 joules. The final speed of the block is approximately 3.15 meters per second.

Elastic potential energy is energy stored in an object as a result of application of a force to deform an elastic object. The energy is stored until the force is removed and the object springs back to its original shape and size, doing work in the process.

By applying Hooke's law and definition of work, we define the elastic potential energy (Ug), measured in joules, by the following formula:

Ug = 1/2 × k × x²

where, k = Spring constant, measured in newtons per meter

x = Deformation of the spring, measured in meters

If we know that k = 795 N/m and x = 0.045m, then the elastic potential energy is:

Ug = 1/2 × 795 × 0.045

Ug = 17.88 Joules

The initial elastic potential energy of the block-spring system is 17.88 joules.

b) According to the Principle of Energy Conservation, the initial elastic potential energy of the block-spring system becomes into translational kinetic energy, that is:

Ug = 1/2 × m × v²

where, m = Mass measured in kilograms,

v = Final speed, measured in meters per second.

Then, the final speed is cleared:

v = [tex]\sqrt{2Ug/m}[/tex]

If we know that Ug = 17.88 Joules and m = 3.60kg, then the final speed of the block is:

v = √(2 × 17.88J)/ 3.60kg

v = 3.15m/s.

The final speed of the block is approximately 3.15 meters per second.

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The amount it take to run the compressor if the electricity cost 22 cents per kilowatt-hour is 233.21 cents.

A kilowatt-hour is a unit of energy: one kilowatt of power for one hour. In terms of SI derived units with special names, it equals 3.6 megajoules (MJ).

To calculate the the amount it takes to run the compressor daily, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Hence, the amount is 233.21 cents.

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A nickel coin contains 5.2 x 10^22 Ni atoms as coulombs of charge.

In the International System of Units, the unit of electric charge is the coulomb. It is equivalent to the electrical charge delivered by a 1 ampere constant current in 1 second in the current version of the SI. The amount of charge carried by a current of one amp for one second is measured in coulombs, which is the unit of measurement used in the SI for electric charge. It may also be a property of a substance that causes electrical and magnetic effects to occur. The symbol for it is C. According to math, 1 Coulomb equals 1 Ampere x 1/sec.

Here,

The mass of a nickel coin is 5 g.

1 mol of Ni weighs 58 g.

1 mol=6.022 x 10²³ atoms of Ni.

in 58 g,  

=6.022 x 10²³ atoms of Ni

then in 5 g the number of Ni atoms = - 6.022 x 10²³ /58 x 5

= 5.2 x 10²² Ni atoms,

Therefore number of Ni atoms as coulombs of charge are 5.2 x 10²² atoms in a nickel coin.

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In this situation, the pressure will change in direct proportion to the temperature. Double both the pressure and the temperature.

When the temperature is held constant, pressure decreases as volume increases and vice versa. As a result, when the volume is cut in half, the pressure is also cut in half, and vice versa.

According to Boyle's Law, pressure and volume have an inverse relationship. The volume reduces as the pressure rises, and the volume rises as the pressure falls.

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When a wave travels through a medium, the particles in that medium vibrate in a direction perpendicular to the direction the wave travels it is a transverse mechanical waves only.

When a wave travels through a medium, the particles in that medium vibrate in a direction parallel to the direction the wave travels it is a longitudinal mechanical waves only .

Then a wave travels through a medium, the wave speed will depend on an inertial property of that medium it is for both transverse and  longitudinal mechanical waves .

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(a) The limit of the exponential function is infinity. (b)the limit of the exponential function is infinity. (c)the limit of the exponential function is infinity.

A differential equation is an equation which has  one or more terms and the derivatives of one variable with respect to the other variable dy/dx = f(x), where “x” is an independent variable and “y” is dependent variable.

(a) P(t) = 50e^(0.02t^2)

The limit as t approaches infinity of P(t) is infinity. This can be seen by using L'Hopital's rule and finding that limit of exponential function is infinity. The graph of P(t) would be a parabola that starts at 50 and increases as t increases.

(b) P(t) = 300e^(0.02t^2)

The limit as t approaches infinity of P(t) is infinity. This can be seen by using L'Hopital's rule and finding that limit of the exponential function is infinity. The graph of P(t) would be parabola that starts at 300 and increases as t increases.

(c) P(t) = 500e^(0.02t^2)

The limit as t approaches infinity of P(t) is infinity. This can be seen by using L'Hopital's rule and finding that limit of exponential function is infinity. The graph of P(t) would be parabola that starts at 500 and increases as t increases.

All of the graphs are increasing and have no inflection point. They are increasing because the exponential function e^(0.02t^2) is positive, and it will always increase as the  t increases.

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The power supply that technician should use 500 W.

A power supply is a component that transforms the output of an ac power line into one or more constant dc outputs. A smooth voltage is created by filtering the ac voltage after it has first been rectified to create a pulsing dc. In spite of fluctuations in the ac line voltage or circuit loads, the voltage is finally regulated to produce a consistent output level.

The power use of the server as whole is,

100 W+ 5×9 W + 200 W

Power use=445 W.

So, the power should be more than the 445 W in order that there should not be any short circuit.

and from all the given options the power supply that is feasible is 500 W.

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500 W of power should be used by the technician.

One or more consistent dc outputs are produced from an ac power line's output by a component known as a power supply. After rectifying the ac voltage to produce a pulse dc, a smooth voltage is produced by filtering the result. Despite changes in the ac line voltage or circuit loads, the voltage is eventually controlled to create a constant output level.

The entire server's energy consumption is,

100 W+ 5×9 W + 200 W

Using 445 W of power.

Therefore, the power must be more than 445 W to prevent short circuits.

Choose the power supply that is practical from the possibilities presented

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Answer:

Approximately [tex]0.042\; {\rm kg \cdot m^{-3}}[/tex].

Explanation:

Note the unit conversion for mass:

[tex]1\; {\rm g} = 10^{3}\; {\rm mg}[/tex].

[tex]1\; {\rm kg} = 10^{3}\; {\rm g}[/tex].

Therefore:

[tex]\begin{aligned}& 10\; {\rm mg} \times \frac{1\; {\rm g}}{10^{3}\; {\rm mg}} \times \frac{1\; {\rm kg}}{10^{3}\; {\rm g}} \\ =\; & 10\; {\rm mg} \times \frac{1\; {\rm kg}}{10^{6}\; {\rm mg}} \\ =\; & 10^{-5}\; {\rm kg}\end{aligned}[/tex].

Similarly, for volume:

[tex]1\; {\rm mL} = 1\; {\rm cm^{3}}[/tex].

[tex]1\; {\rm m^{3}} = 10^{3}\; {\rm dm^{3}} = 10^{6}\; {\rm cm^{3}}[/tex].

Thus, [tex]1\; {\rm m^{3}} = 10^{6}\; {\rm mL}[/tex].

[tex]\begin{aligned}& 240\; {\rm L} \times \frac{1\; {\rm m^{3}}}{10^{6}\; {\rm mL}} = 2.40\times 10^{-4}\; {\rm m^{3}}\end{aligned}[/tex].

Divide mass by volume to find the mass-to-volume ratio:

[tex]\begin{aligned}\frac{10^{-5}\; {\rm kg}}{2.40 \times 10^{-4}\; {\rm m^{3}}} \approx 0.042\; {\rm kg \cdot m^{-3}}\end{aligned}[/tex].

A golf ball will travel 166 feet before landing if it is struck with an 80 ft/s velocity.

The directional speed of an object in motion, as measured by a specific unit of time and observed from a specific point of reference, is what is referred to as velocity. The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate. Speed is the absence of direction; velocity is the presence of direction. Since velocity is a vector quantity, we must specify both the magnitude (the speed) and the direction of travel when expressing it.

Here,

(Va)x= 80cos(10+45)°= 44.886

(Va)y= 80sin(10+45)°= 65.532

S=So + Vot + 1/2at^2

d sin 10°= 0 + 65.532t + 1/2 (-32.2)t^2

0.17d= 0 + 65.532t + (-16.1)t^2

Solving the equation gives,

d=166ft

t= 3.57seconds

The distance d to where it will land is 166 feet when a golf ball is struck with a velocity of 80 ft/s.

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According to Newton's second law, there is no acceleration in the horizontal plane because there is no net force operating in that direction.4.63 m is the highest height attained.

The man's initial speed (u) is 31.0 m/s.

The trajectory's top speed is 29.5 m/s.

Gravitational acceleration (g) equals 9.8 m/s²

The vertical component of velocity becomes zero as the man reaches the top of the trajectory, leaving just the horizontal component to affect him.

Additionally, according to Newton's second law, there is no acceleration in the horizontal plane because there is no net force operating in that direction.As a result, the horizontal component of velocity never changes.

Thus, the horizontal component of beginning velocity is all that is referred to as speed at the top of the trajectory.where Ux and Uy are the man's initial vertical and horizontal velocities, respectively.

To find "H," enter the value from equation (1) and 9.8 for "g."

H = 90.75/2*9.8

H = 4.63 as a result.

As a result, 4.63 m is the highest height attained.

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-Borrows = 0 , -Returns > 0, Since these two statements have the same truth value, they are both indicating that a particular laptop is not currently borrowed.

What is Equivalence theory?

This question is using the Theory of Equivalence, which states that two statements are logically equivalent if they have the same truth value.

In this case, the two statements are:

1) Borrows = 0

2) Returns > 0

Both choices indicate that a particular laptop is not currently borrowed from the library.

Borrows = 0 indicates that the laptop has not been borrowed at all. Since the library keeps track of the number of times a laptop is borrowed, if the number is zero, then it has not been borrowed.

Returns > 0 indicates that the laptop has been borrowed before, but it is not currently borrowed.

Since the library keeps track of the number of times a laptop is returned, if the number is greater than zero, then it has been returned and is therefore not currently borrowed.

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