6.25% is percentage of the original sample of a radioactive element would be left after 32 days.
Some elements of atomic nuclei are unstable due to the presence of excess nuclear charge inside, so these nuclei undergo radioactive decay to form stable nuclei. These elements are called radioactive elements.
After n half-lives, the fraction of the radioactive element present is given by the relation 1 / [tex]2^{n}[/tex]For 32 years
half lives can be calculated as
8 years = 1 half life
32 years = 32/8 = 4 half lives
half lives = n = 4
= 1 / [tex]2^{4}[/tex]
= 1 / 16
= 0.625
= 6.25 %
6.25% of the original sample would be left after 32 years.
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it is desired to project the image of an object four times its actual size using a lens of focal length 20 cm. how far from the lens should the object be placed?
It is desired to project the image of an object four times its actual size using a lens of focal length 20 cm, then the object should be placed 25cm away from the lens.
What is meant by lens?Lens is a transmissive optical device which focuses or disperses light beam by means of refraction.
Given focal length, f= 20 cm
and h1= 4h0
So, h1/h0= m = 4
Hence, v/u = 4
and v= 4u
As, 1/v - 1/u = 1/f
Now, 1/4u-(1/-u)= 1/20
5/4u= 1/20
So, u = 25 cm
The object should be placed 25cm away from the lens.
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an object is released from rest and falls a distance h during the first second of time. how far will it fall during the next second of time?
It fall during the next second of time is 3hrs.
When something is released from rest and falls?Gravitational potential energy is transformed into kinetic energy as the object is propelled out of rest and falls to Earth. Since the object is released closer to the Earth's surface, the force of gravity's acceleration is constant.
Knowing this
u = 0 m/s.
velocity after t = 1s
v = u+gt
v = 0 + 9.81 x 1s
v = 9.81 m/s
area covered in the first second
area covered in the first second = ut + 0.5 x g x t²
area covered in the first second =0 + 0.5x 9.81 x 1 = 4.90m
Let 4.90 be h
We will now use the distance traveled in the second second.
so that velocity after t = 1s
velocity after t is 1s = 1 x t+ 0.5 x g x t²
velocity after t is 1s = 9.81 x 1 + 0.5 x 9.81 x 1 = 3 x 4.90
So since h= 4.90
Then the answer is 3 x h = 3h.
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I NEED TO ANSWER THIS BY TODAY!! Will mark as brainliest
The Orion Space Capsule has started it's return to earth and is travelling at a speed of 24,600 mph.
a) Using the conversion factors that you have been taught, What is this speed in m/s?
b) If the spacecraft has to travel 270,000 miles to earth, how long should it take to reach low earth orbit 150 miles above earth?
a) The speed in meters per second is 10996.2 meters per second.
b) The Time taken is 10.97 hours.
What is the speed of the Orion Space Capsule?We must be able to remind ourselves that speed is the ratio of the distance that is covered to the time that is taken to orbit the earth. If we have this definition at the back of our minds, we can now see that it would be easy for us to be able to obtain the speed if we do have the distance and the time or make the necessary manipulations so as to be able to obtain any of the parameters that have been required in the speed formula as described above.
We know that;
1 mile per hour = 0.447 meters per second
24,600 mile per hour = 24,600 mile per hour * 0.447 meters per second/ 1 mile per hour
= 10996.2 meters per second
Given that;
Distance = 270,000 miles - 150 miles = 269850 miles
Time = ?
Speed = 24,600 mph
Time = Distance/ speed
= 269850 miles/ 24,600 mph
= 10.97 hours
The speed of the Orion Space Capsule is 24,600 mph.
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A force of 100 newtons is applied to a box at an angle of 36º with the horizontal. if the mass of the box is 25 kilograms, what is the horizontal acceleration of the box? a. 1.52 meters/second2 b. 3.24 meters/second2 c. 5.48 meters/second2 d. 6.87 meters/second2 e. 7.15 meters/second2
3.24 m/s² is the box's horizontal acceleration in accordance with the query.
How does science define force?The word "force" has a specific meaning in science. At this level, calling a force a pushed or a pull is entirely appropriate. A strength isn't something an object "has in it" or that it "contains." One thing experiences a force from another. Here are both living things and non-living objects in the concept of an energy. kicking a ball, pushing and pulling on the door, or kneading dough are a few examples.
Briefing:Horizontal component is 200cos(36°) = 80.9 N
Then,
F=ma
100 = 25a
a = 3.24 m/sec²
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A boy weighting 50 kg stands on an ice skate, the blade of which is 0.5 cm wide and 25 cm long. What pressure does he exert?
Answer: Pressure exerted by the boy is 4×[tex]10^{5}[/tex] pa.
Explanation:
Given: Mass (m) = 50 kg
Gravitational force (g) = 10 [tex]m/s^{2}[/tex]
Width of a blade = 0.5 cm
Length of a blade = 25 cm
To find: P = ?
As we know that,
Pressure [tex]P = \frac{F}{A} ...(1)[/tex]
Where, F is force and A is Area
Force is given by,
[tex]F = mg[/tex]
[tex]F = (50)(10)[/tex]
[tex]F = 500 N[/tex]
Area is given by,
Area = length × Width
[tex]= (0.5)(25)\\= 12.5 cm^{2} \\[/tex]
Convert the area into [tex]m^{2}[/tex].
⇒ Area = [tex]= 0.00125m^{2}[/tex]
Put the value of F in equation (1)
[tex]P = \frac{500}{0.00125}[/tex]
[tex]P = 400,000 pa[/tex]
P = 4×[tex]10^{5}[/tex] pa
Hence, Pressure exerted by the boy is 4×[tex]10^{5}[/tex] pa
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the device pictured in the figure entertains infants while keeping them from wandering. the child bounces in a harness, with a spring constant k, and is suspended off of the ground.
It is possible to think about angular frequency (ω) as a way to measure angular displacement with respect to time. The equation is (K= ω/m)
Additionally known as radial or circular frequency. It can sometimes be measured in radians per second and sometimes in degrees per second.Angle frequency can be thought of as the rate at which the phase of a sinusoidal waveform changes. It can gauge how quickly the argument changes in relation to the sine function.ω=km
We are aware that k is unchanging.
Then, we can change the formula's k subject to (K= ω/m).
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An accelerator laboratory is considering using a solid-state detector as part of a high-energy experiment. What would be an advantage of using a solid-state detector?
One advantage of using a solid-state detector is that it converts part of the particles energy directly into electric current.
Solid-state devices are sensitive to charged particles and are essentially transparent to gamma rays. Compared to conventional detectors, they are physical of remarkably small size.
Solid-state detectors provide a signal by collecting the charge liberated in the passage of the particle through a semiconductor.
Solid-state detectors are also called Semiconductor Radiation detectors. In these detectors, a semiconductor material like a silicon or germanium crystal constitutes the detecting medium.
An extremely pure solid-state detector is called an intrinsic semiconductor. An example of intrinsic semiconductors is silicon and germanium.
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A 500. Kg cat is driving with a speed of 4.00 m/s find the momentum of the car
A 500. Kg car is driving with a speed of 4.00 m/s, the momentum of car is 2000 kg.m/sec
What is momentum?Momentum is characterized as the intensity of a body's motion. As momentum relies on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Because velocity is a vector, momentum is a also a vector quantity, whereas mass is a scalar number.
Given that,
mass of car (m) = 500 kg
velocity of car (v) = 4.00 m/sec
Thus, momentum (p) = m × v
p = 500 kg × 4.00 m/sec
p = 2000 kg.m/sec
Thus, momentum of car is 2000 kg.m/sec
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energy wavelength relationship a) what is the energy, in ev, of a photon with a 550 nm wavelength? b) what is the wavelength of a 7.5 kev x-ray photon?
a) The energy of a photon with a wavelength of 550 nm is 3.58 10⁻¹⁹J. The equivalent energy in J is 2.40* 10⁻¹⁸ eV. a photon of 10 nm.
b) Its wavelength of an x-ray photon is 0.165 nm.
How is a wavelength used?The wavelengths of a wave is the distance in between adjacent subsequent crests. It is evaluated in the direction of the wave. A wave's length is commonly denoted by the Greek letter lambda (). The ratio of a light train's frequencies (f) and velocity (v) in a medium is its dimension.
How is a wavelength measured?By comparing the distance between the two identical locations on adjacent waves, the wavelengths can always be found. When determining the duration of a longitudinal wave, the distance from one compression to the next or from one seismic waves to the next is measured.
Briefing:
E=hcλ
E=(4.136×10−15 eV s)(3.0×108 m/s)550×10−9 m
E=2.40 * 10⁻¹⁸eV.
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how do you think if density of the liquid will change if you increase their concentration
An Quailty Assurance Answer Please
Answer:
The higher the concentration, the denser the liquid.
Explanation:
Changing concentration of a solution changes the density of the solution . Density is the ratio of mass and volume whereas concentration is the ratio of minor part that is, it is solute to the major part i.e. solvent.
If the amount of matter is increased without changing the volume, then the density increases
i hope this helped
A baseball's resultant velocity is 23.92 m/s, at 57.80° from the level ground.
Determine the horizontal component of the baseball's velocity.
Answer:
A baseball’s resultant velocity is 17.23 m/s, at 26.02° from the level ground then the horizontal component of the baseball’s velocity is 15.4835m/s
Velocity means the direction of the movement of the body or the object here given data is velocity =17.23 m/s, at angle= 26.02° and we have to find horizontal component of the baseball’s velocity=?
So, Horizontal distance can be expressed as x=V × t
Cos26.02°=x/17.23 for vector component, this means that the
17.23cos26.02°= x horizontal component is the hypotenuse length
x=15.4835m/s is the horizontal component of the baseball’s velocity
Know more about horizontal component
Explanation:
As per as calculations
A 2 kg bird falls from a 15 m high tree. How fast is the bird falling right before it hits the ground?
Why do certain sports require special shoes (Physics/Frictional Standpoint)?
Sports shoes provide more than just a protective cover for the feet. They should provide support for the ways the feet and ankles will move and be adaptable to the terrain.
Why do certain sports require special shoes?The right footwear must be designed specifically for the movements of one's sport, whether basketball or other forms of exercise. Elements like shock absorption, ankle support, balance and stability are very essential for better performance.
Different kind of shoes are suited for certain sports. If you are playing a particular sport for more than 2 days a week then, choose a pair of shoes suitable for that particular sport to protect yourself from injury.
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Why might a wine glass survive a fall onto a carpeted floor but not onto a concrete floor?.
Answer:
because of the softness
Explanation:
the bounency of the floor makes it to where it bounces instead of breaking
1. according to the hertzsprung-russell diagram, what type of star is the sun? a) spectral type o b) red giant c) main sequence d) white dwarf
The kind of star that belongs to the main sequence is the sun, according to the Hertzsprung-Russell diagram.
What were the monsters in Spectral?In Pac-Man World 3, opponents are called Spectral Monsters. They are fiery Spectral Realm beings who are enraged by Erwin's interference with their world. They appear to be much less intellectual than ghosts, yet because of their special skills, they are more dangerous. Pac-Man can consume Spectral creatures in the same manner as ghosts.
What happens when spectral is over?When Clyne turns off the device, the human parts of these apparitions are promptly killed along with their spirit counterparts. The final rebels in the town are swept up by American and Moldovan forces as the fight comes to an end.
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List the translational equivalents for the following rotational physical quantities: torque, angular momentum, moment of inertia and angular impulse.
These are the physical quantities.
What is physical quantities?a physical quantity is any of the physical property of to a material or system that can be quantified, that is, can be a measured using numbers. A physical quantity can be the expressed as a value of the which is the algebraic of the multiplication of a numerical value and a unit.
We have to talk about the correlations between the quantities. There's an additional term called acceleration. Talk about how fast you can get. The largest charities are referred to as the term and largest charities are referred to as the term and largest charities are No for food and physical quantities. We have something for rotation. There is a physical quantity. We have physical quantity now. We have a moment of inertia that can be used to work for work or work as well. I will call you either by talk or rotation. We have a kind of technology that rotates for linear momentum and P. This is a moment for impulse. We have an impulse if it's for something.
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these are schematics of a gravitational microlensing signal. assuming that it is the same mass star for all schematics, which is the most massive planet?
Hot a most massive planet, Jupiter uses the same mass star for all schematics.
What is gravitational and example?Some examples of the power of gravity are as follows: the force that holds the gases in the sun. the force used to propel a ball downward after it has been hurled into the air. the mechanism that causes a car to drift downhill even when the gas pedal is not depressed. a glass you dropped hitting the ground with power.
Why is it called gravitational force?Because it consistently attempts to pull masses together rather than pushing things apart, the gravitational force is known as attractive. It is obvious that the gravitational force is inversely correlated with the masses of the two interacting objects.
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what best describes the camera motion in the scenes directly prior to the old man's defiant hand gesture?
Static and secured in a tripod best describes the camera motion in the scenes directly prior to the old man's defiant hand gesture.
How important is a hand gesture while capturing photographs ?One of the hardest things for a photographer to do is to take steady, sharp pictures. Even if we like the spontaneity of point-and-shoot photography, shaky hands can reduce the overall caliber of your pictures.
A beautiful shot is made up of many crucial elements. The ability to capture the ideal lighting, composition, and moment—the three components of a great image—is among the most crucial.
You may capture the ideal sunrise or sunset with the use of a tripod, which lowers camera movement and enhances image quality.
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y how much does the gravitational potential energy of a 59- kg pole vaulter change if her center of mass rises about 4.0 m during the jump?
The gravitational potential energy of a 59 kg pole vaulter changes by 2360 J if center of mass rises by 4.0 m during the jump.
The gravitational potential energy is the energy in an object due to change in its position. To say in simple terms, this energy is related to gravitation force. This energy does not depend on the path, but depends on the height to which an object is raised.
The formula for finding gravitational potential energy acquired by an object that is raised to a height "h" is
E=mgh
So, we have,
E= 59×10×4
= 2360 J
The potential energy gained by the pole vaulter is 2360 J.
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The temperature at Furnace Creek in Death Valley reached 136°F (331 K) on July 10, 1913. What i the peed of ound in air at thi temperature?
The speed of sound in air at the temperature of 136°F (331 K) = 365.71 m/s
The speed of soundThe speed of sound in air depends on temperature, so the higher the temperature, the greater the value of the speed of sound.
The equation for determining the speed of sound with a change in temperature is:
v = v₀ + 0.6(∆T)
where:
v = the final sound velocity (m/s)
v₀ = the initial sound velocity (m/s)
∆T = temperature change (°C)
Note: The speed of sound in air at 0°C is 331 m/s.
We have ∆T = 136°F ⇒ 57.85°C
So,
v = 331 + 0.6 (57.85)
= 365.71 m/s
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Why do some bodies in the Solar System maintain countless well-preserved indications of impacts on their surface
even after many millions of years? Give some examples and explain in detail how at least 2 factors contribute to this
Answer: because not all asteroids hit them
Explanation:
there isn’t much wind in space to direct the asteroid
a box is 4 m in the air and has 120 J of potential energy. What is the box's mass
Answer: 3 kg
Explanation:
The formula for potential energy is Ug=mgh where Ug is potiental energy, m is mass, g is the acceleration caused by gravity which is either 9.8 m/s^2 or 10m/s^2 depending on your textbook and h is the height and or displacement. So…
120 = m(10)(4)
120=40m
m= 3 kg
Answer:
Explanation:
Given:
h = 4 m
W = 120 J
g = 10m/s²
_________
m - ?
W = m*g*h
m = W / (g*h) = 120 / (10*4) = 3 kg
WILL GIVE BRAINLIEST.
Two objects attract with a gravitational force of 140 units.
If the mass of one object is doubled and the mass of the other object is tripled and the separation distance between the objects' centers is doubled, then the new force of gravitational attraction would be ________ units.
If the mass of one object is doubled and the mass of the other object is tripled and the separation distance between the objects' centers is doubled, then the new force of gravitational attraction would be 210 units.
What is the gravitational force between two objects?
The gravitational force of attraction between two objects in the universe is directly proportional to the product of masses of the object and inversely proportional to the square of the distance between the objects.
F = Gm₁m₂/r²
where;
m₁ is the mass of the first objectm₂ is the mass of the second objectr is the distance between the objectsG is the universal gravitation constantwhen mass of one object is doubled and the mass of the other object is tripled, we will have;
F' = G(2m₁ x 3m₂)/r²
Also when separation distance between the objects' centers is doubled, the new force of gravitational attraction becomes;
F' = G(2m₁ x 3m₂)/(2r)²
F' = G(2m₁ x 3m₂)/(4r²)
F' = 6/4 (Gm₁m₂/r²)
F' = 6/4 (F)
F' = 6/4 (140 units)
F' = 210 units
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a wheel 31 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6.8 s. how far will a point on the edge of the wheel have traveled in this time
The distance that a point on the edge of the wheel would have traveled in 6.8 seconds of time is 19.85 meters.
How to find angular velocity?The rate by which the body changes its angle with respect to the time is called the angular velocity of a body.
Given, wheel 31 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6.8 s.
Given ω0 = 240,
ω0 = 240 (0.1047)
= 25.1 rad/s
α2 = 360 (0.1047)
= 37.7 rad/s
The angular acceleration is given as,
a = Δω/t
= ω - ω0/t
= 37.7 - 25.1/6.8
So, a = 1.85 rad/s²
AS we know, Ф= ω0t + 1/2 a t²
= 25.1 * (6.8) + 0.5 * (1.85) * 6.8²
= 85.34 + 42.77
Ф = 128.11 rad
length of travel, l = Ф *d/2
= 128.11 * 0.31/2
l = 19.85 m
Thus, distance that a point on the edge of the wheel would have traveled is 19.85 meters.
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Is the coefficient of friction between 2 given surfaces always the same? Explain.
The coefficient of friction between two surfaces will not be same as it always depends on the nature of both surfaces.
Is the coefficient of friction between two surfaces always the same?It is not necessary that coefficient of friction between two surfaces will be same. The coefficient of friction will depend on the objects that are causing friction and the value is usually between 0 and 1 but sometimes, it can be greater than 1. A value of 0 implies that there is no friction at all between the objects (in case of superfluidity).
The coefficient of friction for an ice block placed on a copper surface will be different than the coefficient of friction for a wooden block placed on the same surface.
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Unpolarized light is passed through two successive polaroid filters, each with its transmission axis at 45.0° to the preceding filter. what percentage of light energy gets through?
Orange, Blue, and Red are the three filters. They are easy to attach and cover the lens and flash on the front of the Polaroid Go camera.
What do you meant by Polaroid?The primary benefit of Polaroid photography is the immediate visual feedback. Sharing Polaroid photos is one of the simplest things you can do with them.
An image of a friend is taken and given to the friend. Being one-to-one rather than one-to-the-world makes it a little different from other forms of sharing. Polaroid started to lose some of its major clients in the real estate, insurance, and photo identi-fication industries as digital cameras proliferated on the market.
As film sales collapsed, Polaroid declared bankruptcy in October 2001. A series of chemicals and dyes are sandwiched between layers to make up a Polaroid;
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what would be the distance between fringes (in cm) if the entire apparatus were submersed in water, whose index of refraction is 1.333?
The distance between fringes for 694nm is 3.267 cm and for apparatus submersed in water with index of refraction of 1.333 is 2.45cm.
In the Young’s Double Slit Experiment, the distance between adjacent fringes is Δy = xλ/d, assuming the slit separation d is large compared with λ.
The equation for the distance between fringes is given by:
Δy = xλ/d where x is the location of screen and d is slit separation. λ is the wavelength.
According to the given information,
x = 4m
d = 0.0850mm or 0.085 x 10^-3m
λ = 694 nm or 694 x 10^-9 m
Hence, using the equation, the distance between fringes is:
Δy = 4 * 694 x 10^-9 /0.085 x 10^-3 = 0.032658 m = 32.66mm = 3.267 cm
When submerged in water, wavelength in water is given by:
wavelength in water = wave length / refractive index
The refractive index of an optical medium is a dimensionless number that gives the indication of the light bending ability of that medium. The refractive index of water is 1.333.
wavelength in water = 694/1.333 = 520.63 nm
Hence, the new distance between fringes is
Δy = 4 * 520.63 x 10^-9 /0.085 x 10^-3 = 0.0245 m = 24.5mm = 2.45 cm
Note: The question is incomplete. The complete question probably is: Using the equation for the distance between fringes, Δy = xλ/d , complete the following. (a) Calculate the distance (in cm) between fringes for 694 nm light falling on double slits separated by 0.0850 mm, located 4.00 m from a screen. cm (b) What would be the distance between fringes (in cm) if the entire apparatus were submerged in water, whose index of refraction is 1.333? cm
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can you help me with this puzzle with a decoder ring
BDONC,ZVP has to be all lower case
solve today's free puzzle, you will need your Morse Code Decoder Ring from last week. This puzzle is a list of words that are related in some way. Can you decode them all and figure out their relationship?
This puzzle would be great for kids 8 and older. If you need help constructing the decoder, click here.
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Cecil works for Amazon and must push a 230 kg crate up the ramp on the back of his truck. The angle of the ramp is 35°. If the ramp is frictionless, how much work must be done to push the crate 7.00 m up the ramp at constant velocity?
The velocity of a vehicle is typically expressed relative to ground.
What is velocity?Velocity is the speed of something that is given direction.
velocity is the measurement to a body's "pace of change of the displacement in relation to time" whenever the main body is traveling through along a straight route.
It is common knowledge of that the word "linear" refers to be something that is totally straight; therefore, when the body moves in a straight path, it is said to be linear velocity .
Alternatively, velocity is the distance traveled by a body traveling in a specified to the direction during of a predetermined period of time. Thus, the fundamental idea of linear velocity is the provided by the union of these two quantities.
Because it always has the direction of velocity is a vector.
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2Na(s)+Cl2(g)>2NaCl(s) the equation represents a chemical change because
2Na (s)+Cl₂ (g) → 2NaCl(s) the equation represents a chemical change because it is a synthesis reaction.
What is synthesis reaction?When two or more substances (elements or compounds) react to generate a new product, which is a compound with new qualities. They synthesis to create a new material, therefore the name "synthesis reaction."
Synthesis reactions occur when two separate atoms or molecules interact to generate a new molecule or substance. When a synthesis reaction happens, most of the time energy is released and the process is exothermic.
The typical equation for this sort of reaction is A + B → AB. The reaction of sodium (Na) with chlorine (Cl) to form sodium chloride is an example of a synthesis reaction (NaCl).
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