use dimension analysis, construct a quantity using g, c, and h, that has the dimension of time.

The top speed of a cheetah is generally approximately 120 km/h (75 mph). However, this speed is only possible over short distances, usually around 460 meters (500 yards), and the cheetah may attain it in a matter of seconds. Its speed decreases after that distance as it becomes fatigued.

Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number. The pace at which an object's location changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change.

Here,

A cheetah's peak speed is usually around 120 km/h (75 mph). However, this speed is only achievable over short distances, often approximately 460 meters (500 yards), and the cheetah may reach this speed in a couple of seconds. Its speed slows after that distance as it tired.

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Earth's mass is approximately 81 times greater than the Moon's mass. Earth has a mass of approximately 5.97 x 10^24 kilograms, while the Moon has a mass of approximately 7.34 x 10^22 kilograms.

Why Earth's mass is more than Moon's mass?

Earth's mass is much greater than the Moon's due to its larger size and composition. Earth is a terrestrial planet with a dense iron-nickel core, while the Moon is a smaller, rocky satellite.

Earth's greater size allowed it to retain more heat and develop a stronger gravitational field, which in turn allowed it to retain more volatile elements and heavier elements that would have otherwise been lost to space. This led to a more massive planet with a much stronger gravitational pull, which makes it about 81 times more massive than the Moon.

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Part A.

It is impossible to determine the speed of the test charge at point y based solely on the information provided. The speed of the charge at point y could be greater than, less than, or equal to v0 depending on various factors such as the presence of electric flux or magnetic fields, resistance, or other forces that may have acted on the charge between points x and y. A detailed analysis of the situation taking into account all relevant factors would be required to determine the speed of the charge at point y.

Part B.

The electric flux through a face of a cube can be calculated using the following formula:

where Φ is the electric flux, ε0 is the permittivity of free space (8.854 x 10^-12 C^2/Nm^2), E is the electric field through the face, and A is the area of the face.

Given that the sides of the cube have length L1, the area of one face can be calculated as A = L1^2. Substituting this value into the formula for Φ, we get:

So, the electric flux through one face of the cube can be calculated by multiplying the permittivity of free space, the electric field through the face, and the square of the side length.

Electric Flux is the number of lines of force from the electric field that penetrates a surface, even though the electric field in a conductor is not moving. Electric flux is used to describe and measure the magnitude of the electric field at a certain distance from the test charge.

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The force exerted by b on a is given by 1.90N along the left.

Let the charge of the particle 'a' and 'b' be q and Q respectively.

Given,

The force exerted ([tex]F_{ab}[/tex]) when the two particles are at distance (d = 12.9 mm) is 2.66 N from a to b.

So, [tex]F_{ab} = \frac{kqQ}{d^2} \hat{x}[/tex] (along the right)

[tex]\implies F_{ab} \times d^2 = kqQ\\\implies kqQ = 2.66 N \times 12.9 mm\\\implies kqQ = 34.314 Nmm[/tex]

Now after the separation between them is 18 mm

The force on a due to b when the distance between them is (D = 18mm) is ([tex]F_{ba}[/tex])

i.e. [tex]F_{ba} = \frac{kqQ}{D^2}(-\hat{x})[/tex] (along the left)

[tex]\implies kqQ = -F_{ba}\times D^2 \\\implies 34.314 Nmm = -F_{ba} \times 18mm\\\implies F_{ba} = -1.90 N[/tex]

Hence the force exerted by b on a is given by 1.90N along the left.

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The direction of the net force on the charge at the top is downwards.

This is because the electric field created by the charge at the bottom exerts an electric force on the charge at the top, which is directed downwards. This electric force is greater than the force of gravity, which acts upwards, resulting in a net force directed downwards. This is a result of the inverse square law of electrostatics, which states that the force between two point charges is proportional to the inverse of their distance squared. Thus, the force between the charges is stronger when they are closer together, resulting in a net force directed downwards.

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The acceleration due to gravity near the surface of the hypothetical planet is 9.79 m/s^2, which is the same as the acceleration due to gravity near the surface of the Earth.

The acceleration due to gravity near the surface of a planet is given by the formula:

g = G * M / R^2

where G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), M is the mass of the planet, and R is the radius of the planet.

Since the mass of the hypothetical planet is the same as the Earth, we can use the mass of the Earth for M. The radius of the hypothetical planet is 1.98 times the radius of the Earth, so we can use the following for R:

R = 1.98 * 6380 km = 12618.4 km

We can now substitute these values into the formula for g:

g = 6.67 x 10^-11 Nm^2/kg^2 * 5.98 x 10^24 kg / (12618.4 x 10^3 m)^2

Simplifying this expression gives us:

g = 9.79 m/s^2

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For the transistor model in the following figure, obtain the Thevenin equivalent is [tex]V_{th}[/tex]=-700V and [tex]R_{th}=5[/tex]kohm.

To find the Thevenin equivalent ,

By temporarily removing the load resistance from the original circuit and reducing what is left to an analogous circuit made up of a single voltage source and series resistance, Thevenin's theorem can simplify this analysis.

After reconnecting the load resistance to the Thevenin equivalent circuit, calculations can be performed as if the entire network were just a straightforward series circuit.

Now, the voltage given is 21V

[tex]R_{1}=3[/tex] kohm

[tex]R_{2}=5[/tex] kohm

as, V=ir

So, I=[tex]\frac{21}{R_{1} }[/tex]

I=[tex]\frac{21}{3}[/tex]

I=7mA

[tex]V_{th}[/tex]=-20I×[tex]R_{2}[/tex]

[tex]V_{th}[/tex]=-20×7×5

[tex]V_{th}[/tex]=-700V

and to find the value of [tex]R_{th}[/tex]

i=0A

20i=0 means it is short circuit.

[tex]R_{th}=R_{2}=5[/tex] kohm

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Answer:it would be zero since its constant velocity and there is no acceleration

Explanation:

For each Part, the x- and y-components of the vectors are mathematically stated as follows.x=-1.939 km and y=3.498 km,x= -2 cm/s,0, y=, x= -7.6412m/s^2, -10.517m/s^2

What are the vectors' x- and y-components?

Measures for the question

We typically adhere to a fundamental premise where

component=Fsintheta for x

Fcostheta as the y component

Therefore

For A

the x component

x= -4 x sin (29°)

x= -1.939 km

Is y component

y= 4 x cos (29°)

y= 3.498 km

For B

the x component

x= -2 cm/s

Is y component

y= 0

For C

the x component

x= -13 x sin (36°)

x= -7.6412m/s^2

Is y component

y= -13 x cos (36°)

y= -10.517m/s^2

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The full question:

Part AFind the x- and y-components of the vector d⃗ = (4.0 km, 29 ∘ left of +y-axis). Express your answer using two significant figures. Enter the x and y components of the vector separated by a comma.d⃗ = km Part BFind the x- and y-components of the vector v⃗ = (2.0 cm/s , −x-direction).Express your answer using two significant figures. Enter the x and y components of the vector separated by a comma.v⃗ = cm/s Part CFind the x- and y-components of the vector a⃗ = (13 m/s2 , 36 ∘ left of −y-axis).Express your answer using two significant figures. Enter the x and y components of the vector separated by a comma.a⃗ x = m/s2

The density of earth is 5500 kg/m3 and the density of sun is 0.256 times the density of Earth.

Given that Earth's volume is 5500 kg/m3,

When comparing the density of the Sun with the Earth, we must split the:

The ratio of Earth's density to that of the Sun is 0.256, or 1410 kg/m3 to 5,500 kg/m3.

The sun has a density that is 0.256 times that of Earth.

The density of the Earth is 5.52 grams per cubic centimeter, as determined by a number of measurement techniques. 5520 kilos per cubic meter is [this value's equivalent. The earth's mass per cubic centimeter is 5.514 g/cm3. r = 6.37 106 meters is the radius of the earth. We may calculate the needed average density of the stuff in the earth as 5.514 gm/cm3 by dividing the mass of the Earth by its volume. Earth has an average density of 51 g/cm3.

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The energy per degree of freedom of a gas particle at temperature 376K is 3/2 kT, where k is the Boltzmann constant and T is the temperature in Kelvin.

Hence, the energy per degree of freedom at 376K is 3/2 x 8.6173 x 10-5 x 376 = 0.007845 ev.

What is temperature?

Temperature is a physical quantity which measures the degree of hotness or coldness of an object. It is measured on the Celsius (°C), Fahrenheit (°F) or Kelvin (K) scales. Temperature is related to the amount of thermal energy in a system, and is an important factor in many fields of science, such as physics, chemistry, meteorology, and engineering. Temperature affects the rate of many chemical reactions, and is a key factor in the functioning of living organisms. It also plays an important role in the Earth's climate and weather pattern.

Therefore, energy per degree of freedom at 376K is 3/2 x 8.6173 x 10-5 x 376 = 0.007845 ev.

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The density of an object can be calculated using the equation density = mass / volume.

Density is a measurement of the mass per unit volume of an object. Or it could also be interpreted as a comparison between the mass and volume of an object, as reported by the Ministry of Education and Culture's Learning Resources website.

The higher the density of an object, the greater the mass of each volume. The average density of each object is the total mass divided by the total volume.

An example of an object that has a higher density is iron, while an example of an object that has a lower density is water.

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The magnitude of the net force acting on the car is 33.66 N.

To calculate the net force acting on the car, we can use the formula:

Force = mass x acceleration

where acceleration can be calculated using the change in velocity. To convert the velocity units to SI units, we first convert km/h to m/s:

[tex]48.0 km/h = (48.0 x 1000/3600) m/s = 13.33 m/s\\59.0 km/h = (59.0 x 1000/3600) m/s = 16.39 m/s[/tex]

The change in velocity is then given by:

[tex]Δv = v_f - v_i = 16.39 m/s - 13.33 m/s = 3.06 m/s[/tex]

The acceleration can then be calculated as:

a = Δv / Δt

where Δt is the time taken to cover the 100 m distance. We can assume this to be a constant, so:

[tex]a = Δv / Δd = 3.06 m/s / 100 m = 0.0306 m/s^2[/tex]

Finally, the net force can be calculated as:

Force = [tex]m x a = 1100 kg x 0.0306 m/s^2 = 33.66 N[/tex]

The magnitude of the net force acting on the car is 33.66 N.

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When designing a ship and spacesuits for astronauts to use in zero gravity, it is important to take into consideration Newton's laws of motion. For instance, the ship and spacesuits should be designed to minimize or eliminate the effects of inertia, which will allow the astronauts to move more easily.

Additionally, the ship and suits should be light and streamlined to minimize air resistance and drag in the vacuum of space. Finally, the ship and suits should be designed to provide adequate protection from the extreme temperatures of space. All of these design considerations should take into account Newton's laws of motion to ensure the safety and comfort of the astronauts.

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The eccentricity of the red planet is 1.3175 x 10¹² m².

The eccentricity of the red planet is the product of the Semi-Major axis (a) and the linear eccentricity (c).

The Semi-Major axis (a)  is given as 1,550,000 m and the linear eccentricity (c) is given as 850,000 m.

The eccentricity of the red planet is calculated as follows;

e = ca

e = 850,000 m x 1,550,000 m

e = 1.3175 x 10¹² m²

Thus, the eccentricity of red planet is a function of the Semi-Major axis (a)  and the linear eccentricity (c) .

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The 4 V, 5 V, and 6 V equipotential lines between two parallel plates are evenly spaced.

Equipotential lines represent points in space that are at the same potential or voltage. In the context of two parallel plates, these lines would be perpendicular to the plates and would indicate the potential at different points between them.

If the 4 V, 5 V, and 6 V equipotential lines are evenly spaced, this means that the potential difference between the plates is uniform and the same at each of these points. This would occur if the electric field between the plates was uniform and the same in strength everywhere.

The uniformity of the electric field is due to the plates being parallel and of equal size, as well as the presence of a uniform electric charge on each plate. These conditions would lead to a uniform distribution of the electric field and the equipotential lines being evenly spaced.

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The spring constant k can be determined using the equation:

Therefore, k = (30 × 9.81 + 20) × 0.3/(0.3^2 - 0.1^2) = 301.53 N/m .

The equation is a mathematical expression that states the equality of two expressions. It is typically written using symbols and numbers and is used to find the solution to a problem. Equations are used in all fields of mathematics, from basic algebra to calculus and beyond. They can also be used to find the relationships between variables, explore trends, and make predictions. Equations are a powerful tool for understanding and manipulating the world around us.

k = (mg + mA)h/(h2 - h1)

where m is the total mass of the system (m = mA + mB), g is the acceleration due to gravity, h is the height of the system in equilibrium, and h1 and h2 are the heights at which the spring is unstretched and stretched, respectively.

In this case, m = 30 kg, g = 9.81 m/s2, h = 0.3 m, h1 = 0.1 m, and h2 = 0.3 m.

Therefore, k = (30 × 9.81 + 20) × 0.3/(0.3^2 - 0.1^2) = 301.53 N/m .

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Astronauts and their spacecraft still have mass and are subject to the effects of Earth's gravity while they are in space. In this way, even though the gravitational pull of the Earth is weaker in space than it is on Earth's surface, objects still have weight.

All objects fall at the same pace due to gravity in a vacuum. It is irrelevant how much mass the thing has.

"The force that gravity exerts on the item," according to our textbook, is how weight is defined. The astronauts are weightless since space has zero gravity. But since mass is a measure of how much matter is there, they are not massless. Independent of gravity, mass may be measured.

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Density of mercury The density of liquid mercury is 13.6g cm3 . 68 moles of mercury are there in 1 liter of the metal.

What is density ?

The term "density" refers to the ratio between the volume (the amount of space taken up by an object or substance) and the amount of matter contained therein (its mass). The amount of mass per unit of volume is another method to define density. An object has a high density if it is both heavy and small.

What is mole ?

A mole is the atom's elementary particle, an ion. The mole of the substance is always related to the Avogadro number. The mole is always associated with the weight or mass of the element or substance. The standard unit of a mole is mol. The mole is a significant factor of the reactant and products to form an equation. A mole calculates the atom, ion, and substance weighs.

Therefore, Density of mercury The density of liquid mercury is 13.6g cm3 . 68 moles of mercury are there in 1 liter of the metal.

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A) The population of Alaska is expected to be 1083.173 thousand at the end of year 2022.

B) Alaska’s population is expected to reach 850,000 at the end of 14.160 years after the end of 2000.

Population of Alaska at the end of x years is given as: A(x) = 0.638x^2 + 6.671x + 627.619 thousand people……..(i)

To find the population of Alaska in the year 2022,

x= 0 in the year 2000

therefore, x= 22 in the year 2022

putting value in x in equation (i),

A(22) = 0.638(22^2) + 6.671*22 + 627.619= 1083.173 thousand people

The number of years it will take for Alaska to exceed 850000 people is,

Since the population equation is provided in thousand, the equation now becomes:

A(x) = 0.638x^2 + 6.671x + 627.619= 850

0.638x^2 + 6.671x – 222.381= 0

Using Sridhar Acharya’s formula,

x=(-b±√(b^2-4ac))/2a

x= (-6.671 ± √((6.671^2)- 4*(0.638*(-222.381))))/2*0.638

x = (-6.671 ±  √(44.502 +567.51))/1.276

x = (-6.671+ 24.739)/1.276 or (-6.671 - 24.739)/1.276

x= 14.16 or -24.61

therefore, the number of years that Alaska will take to exceed its population above 850000 is 14.16 years from 2000

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The density of cube is 300000 kg/m^3.

We know that density of a substance is : Mass/volume

Given,

Mass = 51.84g = 51.84 / 1000 kg

Volume = 0.012* 0.012* 0.012 m^3

Putting these values in above equation we get;

Density =  300000 kg/m^3.

So the density of cube is  300000 kg/m^3.

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The electric field does -423.85 × 10^-6 J of work in moving the -7.7 µC charge from ground to a point whose potential is 55 V higher.

The work done by an electric field on a charge can be calculated using the equation:

W = qΔV

where W is the work done, q is the charge of the object, and ΔV is the change in potential energy.

For the given situation, q = -7.7 µC and ΔV = 55 V. Thus,

W = (-7.7 × 10^-6 C) × (55 V) = -423.85 × 10^-6 J

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The electric field is directed away from the positive charge, so its direction is radially outward from the charge. The magnitude of the electric field is 9.29 x 10^5 N/C.

An electric field is a field that surrounds a charged particle or a collection of charged particles and can affect other charged particles in the vicinity. It is a vector field that represents the force that would be exerted on a test charge placed in that field. The strength of the electric field at a particular point is defined as the force per unit charge at that point.

The electric field (E) generated by a point charge (Q) at a distance (r) from the charge is given by Coulomb's law: E = k * Q / r^2, where k is Coulomb's constant (approximately equal to 8.99 x 10^9 N m^2/C^2). To find the magnitude and direction of the electric field 0.45 m from a +7.85 x 10^-9 C point charge, we can use the formula:

E = k * Q / r^2 = 8.99 x 10^9 N m^2/C^2 * 7.85 x 10^-9 C / (0.45 m)^2 = 9.29 x 10^5 N/C

Therefore, The electric field is directed away from the positive charge, so its direction is radially outward from the charge. The magnitude of the electric field is 9.29 x 10^5 N/C.

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lan can decrease the magnetic force on the washers by increasing the distance between the magnet and the pile of metal washers.

A material or object that creates a magnetic field is called a magnet.

The most noteworthy characteristic of a magnet, a force that pulls on other ferromagnetic elements like iron, steel, nickel, cobalt, etc., as well as the ability to attract or repel other magnets, is caused by this invisible magnetic field.

The strength of the magnetic force produced by a magnet increases when the distance between the magnet and an object experiencing the magnetic force is reduced.

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calculate the % of L-dopa in the solution, we can use the following equation:

% L-dopa = 100 * (specific rotation of solution - specific rotation of enantiomer) / (specific rotation of L-dopa - specific rotation of enantiomer)

The specific rotation of the enantiomer is the same magnitude as the specific rotation of L-dopa, but opposite in sign. So, the specific rotation of the enantiomer is 39.5.

Plugging in the values:

% L-dopa = 100 * (-19.75 - 39.5) / (-39.5 - 39.5) = 100 * (59.25) / 0 = undefined

Since the denominator is zero, the % L-dopa is undefined.

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Stairways must be installed at least 30 degrees, but no more than 50 degrees from the horizontal.

Stairways and stepping stools are a significant wellspring of wounds and fatalities among development laborers.OSHA gauges that there are 24,882 wounds furthermore, upwards of 36 fatalities each year because of falls from flights of stairs and stepping stools utilized in development. Almost 50% of these wounds are adequately serious to demand investment off the gig - 11,570 lost working day wounds and 13,312 non-lost business day wounds happen yearly because of tumbles from flights of stairs and stepping stools utilized in development.

These information show that work nearby stepping stools and flights of stairs is dangerous. All the more significantly,they show that consistence with OSHA's necessities for the protected utilization of stepping stools and flights of stairs might have forestalled large numbers of these wounds.

This conversation fills in as a speedy and simple reference for use on places of work. The prerequisites of OSHA security guidelines for the protected utilization of stepping stools and steps (Subpart X, Title 29 Code of Government Guidelines, Part 1926.1050 through 1926.1060) are made sense of conversation.

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The correct option is option B) Electronegativity

Electronegativity is a chemical property that determines how strongly an atom attracts electrons toward itself within a bond.

An atom with a higher electronegativity will attract the shared electrons more strongly than an atom with a lower electronegativity. This leads to a partial negative charge on the atom with the higher electronegativity and a partial positive charge on the atom with the lower electronegativity, resulting in a polar covalent bond.

Electronegativity is related to the electron configuration of an atom and its atomic number, with elements towards the right and top of the periodic table typically having higher electronegativities.

It is important to note that electronegativity is not to be confused with other properties such as electron affinity (the energy change that occurs when an electron is added to a neutral atom), ionization energy (the energy required to remove an electron from an atom), and valence (the number of electrons an atom can donate or accept to form a chemical bond).

Therefore, The correct option is option B) Electronegativity

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Kepler's second law states that a planet moves most quickly during perihelion and most slowly at aphelion. The orbit's total period (T) is related to the cube of the planet's average distance from the Sun (R).

According to Kepler's Second Law, as a planet rounds the Sun, an arbitrary vertical connecting them sweeps across the same amount of space at the same rate. In essence, this means that asteroids do not travel throughout their revolutions at a constant speed.

The speed of the planet as it travels through its elliptical orbit is governed by Kepler's second law. Kepler demonstrated that no matter where in the orbit the planet is, the region that it "sweeps out" over a period of time is the same.

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The location of the CM of a system ( 0.5l , 0.25l )

x = (m1.x1 +m2.x2 +m3.x3) / ( m1 + m2 +m3)

x = ( m x 0 + m x 0 + 2m x l ) / ( m+m+2m)

x = 2m x l / 4m

x = 0.5 l

y = (m1 x y1 +m2 x y2 +m3 x y3) / ( m1 + m2 +m3)

y = (m x 0) + m x l + 2m x 0 ) / ( m + m + 2m )

y = m x l / 4m

y = 0.25 l

A position established in relation to an object or set of objects is the center of mass.

It represents the system's average location as weighted by each component's mass.

The center of mass for straightforward stiff objects with homogeneous density is found at the centroid.

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The direction that the genes are transcribed is shown by the arrows. The arrow directs attention to the 3' end. When creating DNA strands, arrows are crucial.

Using only the nucleotides A, T, G, and C, construct a compact DNA molecule. Because of their antiparallel structure, the two strands of the double helix that make up DNA molecules move in the opposite directions from one another. Humans and unicellular protists are two eukaryotic species that have telomeres, which are repeating regions at the very ends of chromosomes. The telomeres, which function as caps to protect the internal chromosomal regions, lose a small amount of their length with each cycle of DNA replication.

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