The wavelength of the 5th harmonic will be 145 cm. None of the given options are correct.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The length of the string corresponds to one-half of a wavelength for the first harmonic.
\(\rm \lambda_1= \frac{1}{2} L \\\\ \lambda_5=5 \times \frac{1}{2} L \\\\\ \lambda_5=5 \times \frac{1}{2} \times 58 \ cm \\\\\ \lambda_5 = 145 \ cm\)
Hence the wavelength of the 5th harmonic will be 145 cm.
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Find the voltage drop between points A and B in the circuit. [?] V 106 A 30 Ω 40 Ω B 50 Ω 20Ω 10Ω
\(30 \Omega || 40\Omega ~ \text{and}~50\Omega || 30 \Omega\\\\\text{Equivalent resistance of the whole circuit,}\\ \\R_{eq} = \left(\dfrac{30 \times 40}{30+40} \right) + \left( \dfrac{50 \times 30}{50+30} \right)\\\\\\~~~~~~=\dfrac{1005}{28}~ \Omega\\\\\text{By Ohm's law,}\\\\~~~~~V=IR\\\\\implies I = \dfrac{V}{R} = \dfrac{9}{\tfrac{1005}{28}} = \dfrac{252}{1005}= \dfrac{84}{335}~ A\\\\ \text{Voltage drop between points A and B,}\\\\V_{AB} = IR_{AB}\\\\\\\)
\(~~~~~~~=\dfrac{84}{335} \cdot \left(\dfrac{30 \times 40}{30+40} \right)\\\\\\~~~~~~~= \left( \dfrac{84}{335} \right) \left(\dfrac{120} 7 \right)\\\\\\~~~~~~~=\dfrac{288}{67}~V\\\\\\~~~~~~~=4.298~V\)
How would the tides on Earth be affected by the absence of the Moon?
The tides on Earth are primarily caused by the gravitational pull of the Moon. The absence of the Moon would have a significant impact on the tides and the entire Earth's ecosystem.
Tides are created by the gravitational force of the Moon acting on the water in the oceans. As the Moon orbits around the Earth, its gravitational force causes the water to bulge on the side of the Earth closest to the Moon, creating a high tide.
Without the Moon's gravitational pull, there would still be some tides on Earth, but they would be much smaller than they are currently. The Sun also exerts a gravitational pull on the Earth, but it is much weaker than the Moon's.
The absence of the Moon would also affect other aspects of Earth's ecosystem, such as the migration patterns of some animals, and the stability of the Earth's axial tilt, which would be more prone to fluctuations. The Moon also plays a role in stabilizing the Earth's orbit around the Sun, so the absence of the Moon could cause changes in the Earth's climate and weather patterns over time.
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A roller coaster pushes a 25 kg person upward with a force of 300 N. What is the acceleration?
Answer: a=F/m , a = 300N/25N , a= 12 m/s2
Explanation: Divide the 300 by 25 you get 12 . If your wondering how i got 25N in the eqaution it because you change 25kg to 25N. I hope this helps you
Acceleration of an object is the force divided by mass. The acceleration of the roller coaster to push the 25 kg person with a force of 300 N is 12 m/s².
What is acceleration ?Acceleration is a physical quantity measuring the rate of change in velocity. It is a vector quantity having both magnitude and acceleration. Acceleration has the unit of m/s².
According to Newton's second law of motion, the force acting on a body is the product of its mass and acceleration.
F = ma
Given that, mass of the person = 25 kg
force applied on the body = 300 N
acceleration = force/mass
a = 300 N/25 kg = 12 m/s²
Therefore, the acceleration of the roller coaster is 12 m/s².
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After catching the ball, Sarah throws it back to Julie. However, Sarah throws it too hard so it is over Julie's head when it reaches Julie's horizontal position. Assume the ball leaves Sarah's hand a distance 1.5 meters above the ground, reaches a maximum height of 20 m above the ground, and takes 2.816 s to get directly over Julie's head. What is the speed of the ball when it leaves Sarah's hand?
To solve this problem, we can use the kinematic equations for projectile motion. First, we need to find the horizontal distance the ball travels before reaching Julie's position. We know the time it takes for the ball to reach the highest point is half of the total time, which is 1.408 seconds. We can use this time and the acceleration due to gravity (9.81 m/s^2) to find the vertical velocity at the highest point:
v_y = g * t/2 = 9.81 * 1.408/2 = 6.915 m/s
Now we can use the maximum height (y = 20 m) and the initial vertical velocity (v_y) to find the initial vertical velocity (v_0):v_0^2 = v_y^2 + 2gy = 6.915^2 + 2*9.81*20 = 576.5
v_0 = 24.00 m/s (rounded to two decimal places)
Next, we can use the time it takes for the ball to reach Julie's position (t = 2.816 s) and the horizontal distance (x) to find the initial horizontal velocity (v_x): x = v_x * t
v_x = x/t
We can use the fact that the ball was thrown from a height of 1.5 m to find x. The total distance traveled by the ball (from Sarah to Julie) is the horizontal distance plus the vertical distance (20 m + 1.5 m = 21.5 m):
x = sqrt((21.5)^2 - (1.5)^2) = 21.409 m
v_x = 21.409/2.816 = 7.60 m/s (rounded to two decimal places)
Finally, we can use the Pythagorean theorem to find the initial speed of the ball (v):
v = sqrt(v_x^2 + v_0^2) = sqrt(7.60^2 + 24.00^2) = 25.33 m/s (rounded to two decimal places)
Therefore, the speed of the ball when it leaves Sarah's hand is 25.33 m/s.
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For cardiovascular exercise, it is important to exercise in your:
1. Resting Heart Rate
2. Target Heart Rate
3. Maximum Heart Rate
4. All of the Above
Answer:
4 target heart rate. is the answer
Explanation:
hope its right
a stone is thrown horizonttaly from a cliff of a hill with an initial velocity of 30m/s it hits the ground at a horizontal distance of 80m from the foot of the hill how long does a stone travel? what is the height of the hill? (please show the process)
Answer:
a) Time = 2.67 s
b) Height = 35.0 m
Explanation:
a) The time of flight can be found using the following equation:
\( x_{f} = x_{0} + v_{0_{x}}t + \frac{1}{2}at^{2} \) (1)
Where:
\( x_{f}\): is the final position in the horizontal direction = 80 m
\( x_{0}\): is the initial position in the horizontal direction = 0
\(v_{0_{x}}\): is the initial velocity in the horizontal direction = 30 m/s
a: is the acceleration in the horizontal direction = 0 (the stone is only accelerated by gravity)
t: is the time =?
By entering the above values into equation (1) and solving for "t", we can find the time of flight of the stone:
\( t = \frac{x_{f}}{v_{0}} = \frac{80 m}{30 m/s} = 2.67 s \)
b) The height of the hill is given by:
\( y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2} \)
Where:
\( y_{f}\): is the final position in the vertical direction = 0
\( y_{0}\): is the initial position in the vertical direction =?
\(v_{0_{y}}\): is the initial velocity in the vertical direction =0 (the stone is thrown horizontally)
g: is the acceleration due to gravity = 9.81 m/s²
Hence, the height of the hill is:
\( y_{0} = \frac{1}{2}gt^{2} = \frac{1}{2}9.81 m/s^{2}*(2.67 s)^{2} = 35.0 m \)
I hope it helps you!
The magnetic flux through the loop shown in the figure belowincreases according to the relation ΦB =6.0t^2 + 6.4t, where ΦB is inmilliwebers and t is in seconds.
(a) What is the magnitude of the emf induced in the loopwhen t = 2.9 s?
_____ mV
(b) What is the direction of the current through R?
- left - right - insufficientinformation
(a) Emf induced in the loop when t = 2.9 s is 41.6 mV.
(b) Since the emf is negative, the current will flow in the opposite direction to that of the induced emf.The direction of the current through R is from left to right.
A more detailed explanation of the answer.
(a) To find the magnitude of the emf induced in the loop when t = 2.9 s, we need to calculate the time derivative of the magnetic flux (ΦB) with respect to time (t).
The given relation for magnetic flux is:
ΦB = 6.0t² + 6.4t
First, we need to find the derivative of ΦB with respect to t:
dΦB/dt = d(6.0t² + 6.4t)/dt = 12.0t + 6.4
Now, we can find the magnitude of the induced emf at t = 2.9 s:
emf = |dΦB/dt| = |12.0(2.9) + 6.4| ≈ 41.6 mV
So, the magnitude of the emf induced in the loop when t = 2.9 s is 41.6 mV.
(b) To determine the direction of the current through R, we can use Lenz's law, which states that the induced current will flow in a direction to oppose the change in magnetic flux. Since the emf is negative, the current will flow in the opposite direction to that of the induced emf. The direction of the current through R is from left to right.
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A 47 kg gymnast hangs vertically from a pair of parallel rings.
If the ropes supporting the rings are attached to the ceiling directly above, what is the tension in each rope?
The tension is in each rope will be 230.535 N .
Tension also known as tensile force is the force developed in a rope, string, or cable when it is stretched by an applied force.
Formula for the tension is T = mg.Mass of the gymnast = m = 47 kg
Acceleration due to gravity = g = 9.81 \(m/s^{2}\)
T = m*g
T = 47 * 9.81
T = 461.07 N
Since there are two parallel ropes attached to the ceiling, therefore tension will be equally divided into each rope respectively.
Tension in each rope = t
t = \(\frac{T}{2}\)
t = \(\frac{461.07}{2}\)
t = 230.535 N
The tension in each rope will be 230.535 N, when both the ropes are attached to the ceiling directly above the gymnast.
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Name two individual team sports that you have participated in at some time. Did you play mainly for exercise, fun, or competition?
Answer:
Table tennis and tennis
Explanation:
Tennis and table tennis.
While two of them have tennis in their names, they're actually both different and very well so.
Tennis is a bigger version of table tennis that takes place on a land. It's usually played in a court, outside, or even inside some sports center.
On the other hand, table tennis is a "low level tennis". It takes place on a table, like its name implies, it is played in a table. Table tennis is usually played for a shorter when compared with tennis but they have a lot of things in common
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
molecular structure
Explanation:
Many of the water's unique properties come from its molecular structure.
They have polar covalent bonds. They are closely bonded together due to hydrogen's positive charge and oxygen's negative charged atoms.
Due to this water has melting point of 0 degrees and boiling point of 100 degrees.
Answer:
molecular structure
Explanation:
Many of water's unique properties come from molecular structure.
This is because water is polar and has hydrogen bonds.
Friction is a force in which two objects __________. A. Collide and move in one direction B. Are repelled from each other C. Slide against each other D. Are attracted from a distance Please select the best answer from the choices provided. A B C D.
Answer: (C) Slide against each other
Explanation:
Think about rubbing our palms together, and they get warm that right there is friction.
Answer:
slide against each other
Explanation:
MULTIPLE CHOICE QUESTION
Principal axis or optical axis is a virtual line that passes through
the center of the lens
the lower part of the lens
Principal axis or optical axis is a virtual line that passes through
the center of the lens.
What is lens?A lens is a transmissive optical tool that employs refraction to focus or disperse a light beam. A compound lens is made up of numerous simple lenses that are often aligned along a common axis, as opposed to a simple lens, which is made up of a single transparent piece.
Principal axis the line between the optical center and the centers of curvature of a lens's or a curved mirror's faces. Any one of three axis that are mutually perpendicular and around which a body has its greatest moment of inertia.
Principal axis or optical axis is a virtual line that passes through
the center of the lens.
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The work function for magnesium is
3.70 eV. What is its cutoff frequency?
Hint: 1 eV 1.60 x 10-19 J
[ ? ] × 10⁰ ² ) Hz
]
The cut off frequency of the magnesium atom is obtained as 8.9 * x 10^18 Hz.
What is the cut off frequency?The cut off frequency is the lowest frequency of the incident ray at which photoelectric effect occurs.
Given that;
1 eV gives 1.60 x 10-19 J
3.70 eV gives 3.70 eV * 1.60 x 10-19 J/1 eV
= 5.92x 10^-19 J
Now;
Wo = hfo
fo = Wo/h
fo = 5.92x 10^-19 J/6.6 * 10^-34
fo = 8.9 * x 10^18 Hz
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Would a bottleneck event of the plants in an area from the video at the top of this page result in the need for primary or secondary succession?
A: Primary Succession
B: Secondary Succession
subject: Environmental Science
The bottleneck event of the plants in an area results in secondary succession.
What is bottleneck event?A bottleneck is an event that drastically reduces the population size of an organism. The bottleneck may be caused by various events, such as an environmental disaster, the hunting or habitat destruction that results in the deaths of organisms.
Secondary successionSecondary succession is a type of ecological succession in which plants and animals recolonize a habitat after a major disturbance such as a devastating flood, wildfire, landslide, lava flow, or human activity e.g., farming or road or building construction.
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what metal can you melt using 1000 degress celcius
If you'll looking for a metal that melts at exactly 1000 degrees celcius, then Red Brass melts at exactly 1000 degrees celcius
Please summarize this week's reading from Leader within You 2.0
by Maxwell Chapter 9.
In Chapter 10 of the book Leader Within You 2.0 by Maxwell, the author emphasizes on the importance of persistence. He highlights that persistence is necessary for attaining success in any area of life. It is particularly important for leaders who are looking to bring change or innovate.
Persisting through challenges and obstacles is crucial because it is inevitable that these challenges will arise. Maxwell provides various examples of famous leaders who persisted through difficult times. He notes that leaders should not be discouraged by failure and that they should use it as an opportunity to learn from their mistakes and grow
Additionally, leaders should not be afraid to take risks because it is impossible to achieve success without taking risks. Maxwell concludes the chapter by emphasizing that persistent people never give up and that persistence is key to reaching success.
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if the current enters the inductor from the bottom, can you tell if the current is increasing, decreasing, or staying the same? if so, which? explain.
It is not possible to tell if the current is increasing, decreasing, or staying the same without further information. The behavior of the current in an inductor is dependent on the voltage applied across it and the magnitude of the inductance.
What is voltage?Voltage is the electrical potential difference between two points in an electrical circuit. It is the measure of the amount of energy required to move a unit charge from one point to another. Voltage is the electrical force that causes electrons to flow through a conductor, such as a wire. Voltage is also referred to as electromotive force (EMF) or electric potential. It is measured in volts (V). When a voltage is applied to an electrical circuit, it causes a current to flow through it. Voltage is an important factor when considering electrical safety and must be properly controlled to ensure that people, animals, and objects are not exposed to dangerous levels of electricity.
If the voltage is increasing over time, then the current will also increase, and if the voltage is decreasing over time, then the current will also decrease. If the voltage is constant, then the current will remain the same.
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It is diffult to measure the volume of gas.Why?
Answer:
The volume of a gas is dependent on pressure and temperature.
Explanation:
Pressure and temperature affect different gases differently giving varied conclusions to the exact volume of that gas.
:-befrank
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A truck driver sees a dog running into the road. He immediately brakes. Describe the energy transfers in the truck as it comes to a stop.
Answer: find the answer in the explanation.
Explanation:
Before the truck driver sees a dog running into the road, The mechanical energy state of the truck will be kinetic energy at maximum.
Immediately he applied the brakes, the mechanical energy of the truck will be combination of kinetic energy and potential energy.
The kinetic energy will gradually decrease as potential energy continue to increase till it reaches maximum potential energy.
The truck will come to a stop at maximum potential energy
What is the power (P) of an electric circuit with a current (1) of 2.5 A and a
voltage (V) of 120 V? The formula for power is P= IV.
Answer:
B. 300 W
Explanation:
2.5 * 120 = 300
Watts is the unit of power
An incline plane is 12-m long and 4-m high. A block is pulled up the ramp with a spring scale. The reading on the spring scale is 70-N. How many Newtons would the block actually weigh if you had to lift it the 4-m height?
Answer:
W = 210 N
Explanation:
For an ideal machine:
\(Work\ In = Work\ Out\\(P)(L)=(W)(H)\)
where,
P = Effort = Spring Scale Reading = 70 N
L = Effort Arm = Length of inclined plane = 12 m
W = Actual Load (Weight) to be lifted = ?
H = Load Arm = Height = 4 m
Therefore,
\((70\ N)(12\ m) = (W)(4\ m)\\\\W = \frac{(70\ N)(12\ m)}{4\ m}\)
W = 210 N
what's 4 x 5
i need help with this question please
Answer:
4 × 5 = 5 + 5 + 5 + 5 = 20
Explanation:
Pick one factor and add it.
a long solenoid (1500 turns/m) with the inner radius of 2.0 cm carries a 22.2 ma current. along the axis of the solenoid, a thin wire carrying a 2.0 a current is stretched. what is the magnitude of the magnetic field at a point that is inside the solenoid and 1.0 cm from the wire? (ignore the magnetic field of the earth).
The magnitude of the magnetic field at a point 1.0 cm from the wire inside the solenoid is For the magnetic coil, I = 22.2 mA = 20 x 10⁻³
diameter of the magnetic coil, d = 4 cm = 0.04 m
The magnetic field at a point in the magnetic coil is given by
B₁ = μ₀nI
where; μ₀ is the permeability of free space = 4π x 10⁻⁷ m/A
B₁ = 4π x 10⁻⁷ x 1500 x 22.2 x 10⁻³
B₁ = 3.33 x 10⁻⁵
Also, then use the second wire to enter the required magnetic field strength. Current in wire, I = 2 A Magnetic field distance from wire, r = 1 cm = 0.01 m
magnetic field 1.0 cm from wire Substitute in equation:
B2 = μ₀I/2πr
B2 = 4π x 10⁻ ⁵ x2/2x 3.14 x0.01
B2 = 4.0 x 10⁻⁵ T
Obtain the resulting magnetic field:
B = 5.2 x 10⁻⁵
So 1.0 cm from the wire inside the solenoid B = 5.2 x 10⁻⁵
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How would gravity cause planets to move if they did not have inertia?
A. Planets would orbit Jupiter, the largest planet
B. Planets would run into one another
C. Planets would be pulled into the sun
D. Planets would move in a straight line away from the sun
Answer: Planets would be pulled into the sun
Explanation:
This is the correct answer.
Love waves are a type of surface wave. they are similar to s waves in that they?
S-wave motion is identical to that of love waves, but there is no vertical displacement. In a horizontal plane and at a right angle to the direction of propagation, they cause the ground to move side to side.
After British mathematician A. E. H. Love, who developed the mathematical model for this wave type in 1911, one type of surface wave is known as a Love wave. Motion is only horizontal in a love wave. Love waves are horizontally polarized surface waves in the field of elastic dynamics, and they are named after Augustus Edward Hough Love. The interference of numerous shear waves (S-waves), which are guided by an elastic layer and joined to an elastic half space on one side while encroaching on a vacuum on the other, results in the Love wave.
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Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. Its mass is 20 grams, and its density is 7.87 g/cm3. What’s the larger cube’s volume? The larger cube’s volume is about cm3.
Answer:
5.08cm³
Explanation:
Given parameters
The larger cube has twice the mass of the smaller cube
Mass of smaller cube = 20g
Mass of the larger cube = 2 x 20 = 40g
Density of the smaller cube = 7.87g/cm³
Unknown:
Volume of the larger cube = ?
Solution:
Density is the mass per unit volume of substance. For all samples of a substance, the density value is the same.
So, the density of the small and large iron is the same
Density = \(\frac{mass}{volume}\)
Volume = \(\frac{mass}{density}\)
So;
Volume of larger cube = \(\frac{40}{7.87}\) = 5.08cm³
Answer:
5.08cm^3
Explanation:
A student uses a graphic organizer to show the characteristics of an object in our solar system. Which of the following objects accurately completes the graphic organizer? Drag the correct title into the graphic. Asteroid, Moon, Comet, or Planet.
Answer:
comets
Explanation:
Comets have a tail unlike any other answer choice and it has a core of ice and dust. Many think comets do not orbit the sun, but they do. They orbit in a eliptical orbit, so they take a long time to orbit back to the sun.
a wire of length l is made of an insulating material. this wire holds a net charge of q that is distributed uniformly along the length of the wire. what is the linear charge density, , of this charged wire?
When a wire of length l is made of an insulating material. this wire holds a net charge of Q which is distributed uniformly along the length of the wire. Lambda =Q/L is the linear charge density of this charged wire,
What do you mean by insulating material.?Insulating substance definitions. A substance Which generally lessens or stops the transmission of electricity, sound, or heat. Insulant and insulation are the synonyms for each other. varieties: lagging. used to wrap around boilers or pipes, or it was placed in attics to stop heat loss.
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A ball is projected upwards from a bridge and hits the ground 5 seconds after it was originally projected its initial velocity is 15 m/s and it’s final velocity is 34 m/s calculate the height of the bridge.Max height = 11.48 m
Given:
• Time, t =5 seconds
,• Initial velocity, u = 15 m/s
,• Final velocity, v = 34 m/s
Given that the ball is projected upwards from a bridge, let's find the height of the bridge.
Let's first find the height from the top of the bridge to the maximum height.
To find the height apply the formula:
\(v^2=u^2-2as\)Where:
v is the final velocity = 0 m/s (velocity at max height).
u is the initial velocity = 15 m/s
a is acceleration due to gravity = 9.8 m/s²
s is the height.
\(\begin{gathered} 0^2=15^2-2(9.8)s \\ \\ 0=225-19.6s \\ \\ 19.6s=225 \\ \\ s=\frac{225}{19.6} \\ \\ s=11.48\text{ m} \end{gathered}\)The distance from the bridge to the maximum height is 11.48 m.
Now, let's find the maximum height to the ground.
\(v^2=u^2+2as\)Where:
v is the final velocity = 34 m/s
u is the initial velocity = 0 m/s (velocity at the top).
a is acceleration due to gravity = 9.8 m/s²
s is the maximum height.
Thus, we have:
\(\begin{gathered} 34^2=0^2+2(9.8)s \\ \\ 1156=19.6s \\ \\ s=\frac{1156}{19.6} \\ \\ s=58.9\approx59\text{ m} \end{gathered}\)The maximum height is 59 meters.
To find the height of the bridge, we have:
Height of bridge = Maximum height - Distance from top of bridge to max height.
Height of bridge = 59m - 11.48m = 47.52 m
Therefore, the height of the bridge is 47.52 meters.
• ANSWER:
47.52 meters.
Eddy believes that aliens make him walk 2 miles every day from his house to the store. this is an example of:______.
Eddy believes that aliens make him walk 2 miles every day from his house to the store. this is an example of Hallucinations.
Hallucinations are sensory impressions that come from the mind yet seem realistic. Every one of the five senses may be affected by hallucination. One could, for instance, hear a voice that nobody else in the area can hear or see of a fake image. When someone is hallucinating, they will perceive things in their brains that they believe to be real but are actually not. Only the mind can produce these ideas. These symptoms could be brought on by medical conditions like seizures or alcoholic use problems, drug side effects, or mental diseases. The perception of hearing, smell, touch, vision, or physiological sensations may all be affected by hallucinations. A person may have hallucinations with or without knowledge that they are hallucinations. It is regarded as a psychotic sign when someone believes their delusion to be genuine.
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