Preston take 6.5 hours to paint 812.5 square feet.
To calculate the time it takes Preston to paint 812.5 square feet, we can use the equation t = (d/r) where t is the time it takes, d is the distance or in this case the area of the wall, and r is the rate or in this case the area painted in an hour.
Step 1: Calculate the rate of painting per hour
375 square feet ÷ 3 hours = 125 square feet per hour
Step 2: Calculate the time needed to paint 812.5 square feet.
Preston can paint in an hour. So, in this case,
t = (812.5 / 125) = 6.5 hours.
i.e. 812.5 square feet ÷ 125 square feet per hour = 6.5 hours
Therefore, it would take Preston 6.5 hours to paint 812.5 square feet.
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an object falls freely from rest near the surface of earth. what is the speed of the object after having fallen a distance at 4.90 meters
It is moving under the action of gravity such that a g. Using the equation of kinematics as:
v² - u² = 2gs
v = √2gs
v = √2 × 9.8 x 4.9
v = 9.8 m/s
About velocityVelocity, quantity that designates how fast and in what direction a point is moving. A point always moves in a direction that is tangent to its path; for a circular path, for example, its direction at any instant is perpendicular to a line from the point to the centre of the circle (a radius). The magnitude of the velocity (i.e., the speed) is the time rate at which the point is moving along its path.
If a point moves a certain distance along its path in a given time interval, its average speed during the interval is equal to the distance moved divided by the time taken. A train that travels 100 km in 2 hours, for example, has an average speed of 50 km per hour.
During the two-hour interval, the speed of the train in the previous example may have varied considerably around the average. The speed of a point at any instant may be approximated by finding the average speed for a short time interval including the instant in question. The differential calculus, which was invented by Isaac Newton for this specific purpose, provides means for determining exact values of the instantaneous velocity.
Because it has direction as well as magnitude, velocity is known as a vector quantity and cannot be specified completely by a number, as can be done with time or length, which are scalar quantities. Like all vectors, velocity is represented graphically by a directed line segment (arrow) the length of which is proportional to its magnitude.
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The firm has available to it on weekly basis, 480 hours of machining time, 400 hours of polishing time and 400 hours of assembling time. The unit profits on the product are birr 360, birr 240, birr 360 and birr 480, respectively. The firm has a contract with a distributor to provide 50 units of product i, and 100 units of any combination of products ii and iii each week. Through other customers the firm can sell each week as many units of products i, ii and iii as it can produce, but only a maximum of 25 units of product iv. How many units of each product should the firm manufacture each week to meet all contractual obligations and maximize its total profit? make a mathematical model for the given problem. Assume that any unfinished pieces can be finished the following week.
Let x, y, z, and w be the number of units of products i, ii, iii, and iv, respectively, produced each week.
Maximize 360x + 240y + 360z + 480w
Subject to:
x + y + z = 150 (contractual obligation)
w ≤ 25 (maximum of 25 units of product iv)
x ≤ 480 (available machining time)
y ≤ 400 (available polishing time)
z ≤ 400 (available assembling time)
x, y, z, w ≥ 0 (non-negativity)
The optimal solution is x = 150, y = 0, z = 0, and w = 25, which yields a maximum profit of 90,000 birr.
The struggle between the opposite forces in the story is called antagonism true or false.
Answer:
false. its called conflict
A 12 kg book is pushed from rest to a final velocity of 10 m/s. The book travels 6 m. How much force was the book pushed with?.
A 12 kg book is pushed from rest to final velocity of 10 m/s, the book was pushed with a force of 99.96 N.
What is meant by force?In physics, force is an influence that changes the motion of object. A force can cause an object with to change its velocity.
Given, Mass (m) = 12Kg
Initial velocity (U) = 0
Final Velocity (V) = 10 m/s
Distance travelled (s) = 6m
Using formula;
V² = U² + 2as
10² = 0 + 2 x a x 6
100 = 12a
a = 8.33 m/s²
As we know, F = m x a
F = 12 x 8.33
F = 99.96 N
The book was pushed with a force of 99.96 N.
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the term electricity is derived from the greek word ? , and means "to be like amber."
"electric" originates from the Greek word "elektron," which meaning "to be like amber" or "to be able to draw other things."
Proton attraction keeps electrons in their orbits, but some external factors can cause electrons in the outer band to break off of their orbit. These are referred to as free electrons, and electron flows are created when they move from one atom to the next. The foundation of electricity is these. There are two types of electricity: Static electricity: When an object's positive and negative charges are not balanced, an electrical pulse known as static electricity is discharged. The movement of electrons from one area of the circuit to another is known as current electricity.
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Information € 3.4 SCIENCE IN ACTION ATTEMPT 1 notes to answer the following questions. Which statement is true? Choose one. 5 points O When two resistors are connected in series, there is less total current in the circuit than if the two resistors were connected in parallelO When two resistors are connected in parallel, there is less total current in the circuit than if the two resistors were connected in series. O The total current is the same regardless of if the two resistors are connected in series or in parallel.QUESTION 22 Which statement is true? Choose one.5 points O Current varies throughout a series circuit. O Current stays the same through a series circuit.
Part A) 21 The current falls whenever two transistors are linked in series because the overall resistance rises. However, if you link them in parallel, total resistance is reduced, which causes current to increase. Therefore, choice 1 is correct. In a series circuit, the current is continuous.
Part B) The right answer is that when two resistors are linked in series, less total current flows through the circuit than when they are connected in parallel.
What are resistors used for?What a resistor is. a passive electrical device that has two terminals and is employed in electrical circuits to limit or regulate the flow of current. A resistor's primary function is to lower the voltage and reduce current flow in a specific area of the circuit.
Where do resistors get their use?The amount of current flowing through the circuit is affected by any changes in a resistance value. The following are some circuit functions where resistors are used: the musical tone's pitch, and.
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A 2.5 kg body moving at 7.0 mls collides hedd-on with another body of mass 4.0 kg at rest. If the is perfectly elastic, Calculate the velocities of the two bodies.
The velocities of the two bodies are 4.4m/s.
To calculate the velocities, we must calculate the momentum before and after the collision.M₁ = 2.5 kg
M₂ = 4.0 kg
V₁ = 7.0 m/s
V₂ = ?
To calculate the momentum before collision P₁:
P₁ = M₁ * V₁
P₁ = 2.5 kg * 7.0 m/s
P₁ = 17.5 kg m/s
The momentum before collision P₁ = 17.5
To calculate the momentum after collision P₂:
P₂ = M₂ * V₂
P₂ = 4.0 kg * V₂
momentum before collision P₁ = the momentum after collision P₂
17.5 kg m/s = 4.0 kg * V₂
Making V₂ subject of the formula we have:
V₂ = 17.5 kg m/s
4.0 kg
V₂ = 4.375
V₂ ≈ 4.4m/s
Hence the velocities of the two bodies is 4.4m/s.
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A clock pendulum swings from a height of 40cm. The mass of the pendulum is 25g.
Gravitational field strength is 9.8N/KG
Find the downward velocity of thr pendulum
The downward velocity of the pendulum is 2.8 m/s
How can one determine the downward velocity of the pendulum?The downward velocity of the pendulum can be found using the formula:
v = √(2gh)
where v is the velocity, g is the gravitational field strength (9.8 N/kg), h is the height (40 cm), and √ is the square root.
Converting the height to meters and plugging in the values we get:
v = √(2 * 9.8 * 0.4) = √(7.84) = 2.8 m/s
Therefore, the downward velocity of the pendulum is 2.8 m/s.
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after the center of a mature wave cyclone passes, you should expect ________.
You should anticipate a rise in barometric pressure once the core of a mature wave cyclone has passed.
When a mature cyclone's centre has passed, what happens to the weather?After the core of a mature wave cyclone has passed, what will happen to the barometric pressure? The atmospheric pressure will increase.
Has the wind changed direction as it passes, from southwest to northwest?With the passage of a cold front, a dramatic change in wind direction is frequently seen. In the warmer air mass ahead of the front, winds are often out of the south-southwest before the front arrives, but as it arrives, winds typically change to the west-northwest (in the colder air mass).
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When 1 kg of ice at 0 degree Celsius is mixed?
When 1 kilogram of ice at 0 degrees Celsius is mixed with another substance, it will absorb heat until it melts and reaches its melting point of 0 degrees Celsius.
The amount of heat required to melt the ice is called the heat of fusion, which is typically around 333.55 joules per gram. Therefore, it will absorb approximately 333,550 joules of energy to completely melt.
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The pressure on 400 mL of a gas is raised from 20.5 kPa. to 80.5 kPa. What is the final volume of the gas?
Answer:
200ml
Explanation:
To determine the final volume of the gas, you can use the ideal gas law, which states that PV = nRT, where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of the gas, R is the ideal gas constant, and T is the temperature in kelvins.
If you know the initial pressure and volume of the gas, and you raise the pressure to a new value, you can use the ideal gas law to determine the new volume.
For example, if the initial pressure of the gas is 20.5 kPa, the initial volume is 400 mL, the number of moles of the gas is n, the temperature is T, and the pressure is raised to 80.5 kPa, you can solve for the final volume as follows:
P1V1 = nRT
P2V2 = nRT
V2 = (P1V1)/P2
V2 = (20.5 kPa * 400 mL)/80.5 kPa
V2 = 200 mL
So, the final volume of the gas is 200 mL.
It's important to note that this calculation assumes that the temperature and the number of moles of the gas remain constant. If either of these variables changes, the final volume of the gas will also be different.
The diameter of a nickel is 21 mm .
How far from your eye must it be held so that it has the same apparent size as the moon? (Use the astronomical data inside the back cover of the textbook.)
The nickel must be placed at a distance of 2.96 meters from your eyes, in order to have the same angular size of the moon.
We can determine the distance at which the nickel must be placed in order to have the same angular size by using the tangent of the angle as before, where the adjacent is the distance between your eyes and the nickel, so we have, knowing the angular size, and knowing the diameter of the penny "the opposite".
The diameter of a nickel is 21 mm = 21 x 10⁻³
(21 x 10⁻³ / adj) = tan 9.037 x 10⁻³
adj = (21 x 10⁻³) / (tan 9.037 x 10⁻³)
= 2.96 m
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If the equally massive railroad cars A and B stick together after an inelastic collision, how does their speed after the collision compare with the initial speed of car A?
Their speed will be half the initial speed of car A.
what is speed?The speed of an item, which is a scalar quantity, is the size of the change in its location over time or the size of the change in its position per unit of time.
what is collision?Any situation in which two or more objects exert forces on one another quickly is referred to as a collision. The scientific definition of the word "collision" makes no reference to the magnitude of the force involved, despite the fact that the most frequent usage of the word relates to instances in which two or more objects clash violently.
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An 80kg dog initially running at a velocity 2 m/s accelerates to a velocity of 3 m/s. What is the impulse on the dog
Impulse is equal to the change in momentum of an object. The momentum of an object is equal to its mass times its velocity.
The initial momentum of the dog is 80kg * 2m/s = 160kg*m/s.
The final momentum of the dog is 80kg * 3m/s = 240kg*m/s.
The change in momentum of the dog is 240kgm/s - 160kgm/s = 80kg*m/s.
Therefore, the impulse on the dog is 80kg*m/s.
What is atmospheric perspective the effect produced by?
Atmospheric perspective the effect is produced by diffusion of light in the аtmosphere whereby more distаnt objects hаve less clаrity of outline аnd аre lighter in tone.
What is atmospheric perspective?Atmospheric perspective is mаking objects thаt аre further аwаy less detаiled. Аtmospheric perspective cаn be regаrded аs the effect of the аtmosphere on the аppeаrаnce of objects when it is been viewed by аn observer from а distаnce.
It cаn be seen аs аn effect аs а result of diffusion of light in the аtmosphere, in this cаse object thаt аre аt distаnce do hаve less clаrity of outline аs well аs lighter in tone.
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An observer recorded the following data for the motion of a car undergoing constant acceleration. What was the magnitude of the acceleration of the car?.
The magnitude of the acceleration of the car from the recorded the following data for the motion of a car undergoing constant acceleration is 2 m/s².
Acceleration is the term used to describe the rate of change in velocity.
Acceleration a = (V f - V₀)/ (t f - t₀)
where, V f is the final velocity
V₀ is the initial velocity
t f is the final time
t₀ is the initial time
Using the first two rows of the table in the attachment, we have,
a = (6 - 4)/(4 - 3) = 2/1 = 2 m/s²
Thus, the required magnitude of the acceleration of the car from the recorded the following data for the motion of a car undergoing constant acceleration is 2 m/s².
The given question is incomplete. The complete question is given in the attachment below.
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Box A has a mass of 7.0 kg, box B has a mass of 15.0 kg and there is an applied force of 42 N
the answer is definitely 25. no cap
Explanation:
facts
a(n) ________ is a linear zone of lower pressure between two areas of high pressure.
Trough is a linear zone of lower pressure between two areas of high pressure.
An extended area of moderately low atmospheric pressure known as a trough lacks a closed isobaric contour that would classify it as a low pressure area. Troughs and ridges refer to features in the same sense as those on a topographic map since low pressure suggests a low height on a pressure surface.
Troughs could be overhead or close to the ground. A weather front that is accompanied by clouds, showers, and a change in wind direction is occasionally marked by near-surface troughs. The jet stream's upper-level troughs (as depicted in the diagram) are caused by cyclonic filaments of vorticity. Their movement causes upper-level wind divergence, which helps to produce overcast and rainy weather there by elevating and chilling the air ahead of (downstream) the trough.
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________ refers to the "bouncing" mode of sand transport in a windstorm or stream. A) Saltation B) Ventifaction C) Siltation D) Deflation
Saltation refers to the "bouncing" mode of sand transport in a windstorm or stream. Hence, the option A. Saltation is correct.
How are sand particles moved?Sand can be moved by currents that are driven by gravity, wind, waves, tides, and density (current-related transport), by waves that oscillate as a result of short waves being bent under the impact of depth-decreasing water (wave asymmetry), or by a combination of currents and waves.
Because larger particles are too heavy for the wind to suspend, particles are sand-sized. The wind picks up speed as it climbs and crosses the obstruction. By saltation, it moves the sand grains up the dune's slightly sloping upwind side. The wind's velocity drops as it crosses the dunes.
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A 4.0 kg object is moving right at 10 m/s when it collides with a 1.0 kg
object, also moving right at 5.0 m/s. After the collision, the 4.0 kg object is
moving right at 8.0 m/s. What is the final velocity of the 1.0 kg object?
Elastic or inelastic?
The final velocity of the object after the collision is -12 kg*m/s. This is an inelastic collision because some kinetic energy is lost during the collision.
What is inelastic collision?An inelastic collision occurs when there is a loss of kinetic energy. While the system's momentum is conserved in an inelastic collision, kinetic energy is not. This is due to the transfer of some kinetic energy to something else.
The total momentum before the collision is (4.0 kg)(10m/s) + (1.0 kg)(5.0 m/s) = 45 kg*m/s.
The total momentum after the collision is (1.0 kg)(v) + (4.0 kg)(8.0 m/s) = 0
where v is the speed of the 1.0 kg object after the collision.
Solving for v, we find that v = -12 kg*m/s
Therefore, the speed of the 1.0 kg object after the collision is -12 kg*m/s .
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A golfer gives a ball a maximum initial speed of 32.0 m/s. What is the highest tree the ball could clear on its way to the longest possible hole-in-one?
The longest possible distance of hole-in-one is achieved when the angle of initial velocity is 45⁰ from the horizontal. The highest tree the ball could clear is 104.5 m.
The ball will undergo a projectile motion. The longest possible horizontal distance is achieved when the angle of initial velocity is 45⁰ from the horizontal.
The maximum height occurs when the vertical component of the velocity is equal to zero, or vy = 0.
The maximum height is:
h_max = vo² sin²θ/2g
Where:
vo = initial velocity = 32 m/s
θ = 45⁰
g = acceleration due to gravity = 9.8 m/s²
Hence,
h_max = 32² x (sin 45⁰)²/ (2x9.8)
h_max = 1,024 x (√2/2)²/ (2x9.8)
h_max = 1024 / 9.8 = 104.5 m
Hence, the highest tree the ball could clear is 104.5 m
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PLEASEEEE NEED DONE TNIGHTTT
The magnitude of Jupiter's gravitational field and the acceleration due to gravity experienced by the spacecraft is 25.3 m/s².
option B is the correct answer
What is the gravitational field and acceleration due to gravity?
The magnitude of Jupiter's gravitational field and the acceleration due to gravity experienced by the spacecraft is calculated as follows;
E = Gm / r²
g = Gm / r²
where;
G is universal gravitation constantm is the mass of Jupiterr is the radius of Jupiter from the spacecraftE is the gravitational field g is acceleration due to gravityThe acceleration due to gravity experienced by the spacecraft is calculated as
g = ( 6.67 x 10⁻¹¹ x 1.898 x 10²⁷ ) / ( 8.5 x 10⁵ + 6.99 x 10⁷ )²
g = 25.29 m/s²
g ≈ 25.3 m/s²
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Object A has a charge of +2 µC, and object B has a charge of +6 µC. Which statement is true about the electric forces on the objects?
(a) F_AB = -3F_BA
(b) 3F_AB = -F_BA
(c) F_AB = 3F_BA
(d) 3F_AB = -F_BA
(e) F_AB = -F_BA
(f) F_AB = F_BA
B. FAB = -FBA .
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A 6. 00 kg block slides down a 3. 40 m long inclined plane. The speed of the block at the bottom is 5. 40 m/s. If the height of the plane is 2. 00 m, what is the work done by friction?.
The block there at bottom is moving at a speed of 5.40 m/s. if the plane is 2.0 meters in height. Friction produces work at a rate of 30.24 J.
What are the friction laws?The friction of a moving item is inversely proportional to the usual force and runs perpendicular to it. The type of surface the thing comes into touch with determines the amount of friction it experiences. Area of contact has no bearing on friction.
What elements influence friction?The kind of the contacting surface affects the frictional force. The amount of friction increases with surface roughness. The pushing force, or weight of the body, is proportionate to the frictional force. It is unaffected by the contact area.
gravitational energy mgh ,
= 6•9.81•2 = 117.72 J.
kinetic energy = 0.5mv2
= 0.5•6•(5.40)2
= 87.48 J.
Work done = 117.72 - 87.48
=30.24 J.
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Moving a magnet against a stronger magnetic force transfers more energy to the magnetic field. true or false
Moving a magnet against stronger magnetic force transfers more energy to magnetic field : true .
What happens when a magnet is moved against stronger magnetic force?Moving an object against stronger magnetic force transfers more energy to the magnetic field and magnetic forces are stronger closer to the magnets. The potential energy of the system is increased because, now it has an extra force to expel the magnet.
If a magnet is moved against the magnetic force of a stronger magnet, then the motion will make the magnetic field lines to be compressed and this would cause an increase in potential energy as the magnetic force lines will now be compressed.
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What is the restoring force of a spring stretched 0. 35 meters with a spring constant of 55 newtons/meter?.
The restoring force of a spring is 19.25 Newtons
To get the restoring force, we can make use of the formula that is as follows:
F = -k x
When F represents the restoring force, x represents the displacement from equilibrium caused by the deformation, and k represents the constant that is connected to how difficult it is to distort the system, the expression reads as follows. While the minus sign denotes that the restoring force acts in the opposite direction to the displacement, the displacement itself remains constant. Using the formula, we get the following: 55 Newtons per meter multiplied by 0.35 meters.
Therefore, 19.25 Newtons would constitute the restoring force.
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xperiment with the Gizmo to see how you can balance a heavy object with a light object. What do you notice about the distances of each object from the fulcrum
Based on the information provided, the lighter object is further away from the fulcrum than the heavier object.
In physics and mechanics, torque refers to the rotational equivalent of linear force and also referred to as the moment of force. It represents the capability of a force to produce change in the rotational motion of the body. The moment of inertia of a rigid body refers to a quantity that determines the torque needed for a desired angular acceleration about a rotational axis. Hence, based on these concepts, on a seesaw, the torque of each child about the pivot point is the product of the child's weight and the distance of the child from the pivot or fulcrum. In an experiment, in order to produce equal torque on either side of the fulcrum, lighter object is further away from the fulcrum than the heavier object.
Note: The question is incomplete. The complete question probably is: Gizmo shows a see-saw, which is a type of lever. The mass of object A is 1.0 kg and the mass of object B is 2.0 kg. Experiment with the Gizmo shows how you can balance a heavy object with a light object. What is said about the distances of each object from the fulcrum.
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the process by which plastic deformation is produced by dislocation motion is called ________.
The process by which plastic deformation is produced by dislocation motion is called slip deformation.
When applied stress exceeds the elastic limit or yield stress, the deformation of the material body occurs. This is due to the result of a slip or dislocation mechanism at the atomic level. Plastic deformation in a metal has two prominent mechanisms, and they are. When we apply a shear stress on an object in a particular direction to change its shape or anything that we cam do. the shear stress generate a strain on the object and changes its shape to the extent that we can do by the force. the shape is changed to the extent by the force applied on the part of it and we can take a look into it. A prominent mechanism of deformation in metal is slip. By this particular information we can firmly conclude that the process by which plastic deformation is produced by dislocation motion is called slip deformation.
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the ____ of a star is a measure of the total energy radiated by the star in one second.
The luminosity of a star is a measure of the total energy radiated by the star in one second.
The radiant power that is emitted by a light-emitting device over the course of time is referred to as luminosity. Luminosity is an absolute measure of radiated electromagnetic power. The total quantity of electromagnetic radiation that a star, galaxy, or other celestial object emits in a given amount of time is referred to as its luminosity in the field of astronomy.
Luminosity is expressed in SI units as joules per second, which is also written as watts. The absolute bolometric magnitude of an object is a logarithmic measure of its total energy emission rate, and the absolute magnitude of an object is a logarithmic measure of the luminosity within some specific wavelength range or filter band.
Luminosity can also be given in terms of the astronomical magnitude system.
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when we say that a cluster of galaxies is acting as a gravitational lens, what do we mean?
The light emanating from galaxies behind it is bent or distorted by it.
When a massive mass of matter, such as a group of galaxies, produces a gravitational field that bends and magnifies light from distant galaxies that are in front of it but in the same line of sight, the result can be a gravitational lens.
It has the same effect as gazing through a very large magnifying lens. Astronomers can gain more insight into the mass and dark matter content of the foreground galaxies thanks to the gravitational lensing theory. As implied by the name, dark matter is dark. Astronomers can only study it by seeing how its gravity affects things that are visible to us.
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