The angle (measured down from the horizontal) to which the bar rotates before it stops its initial downward movement can be calculated using the formula:
θ = arctan((mg - kx) / (I + mL²))
Given:
m = 2 kg (mass of the bar)
ω = 2 rad/s (angular velocity)
Im = unstretched length of the spring
k = 10 N/m (spring constant)
g = 10 m/s² (acceleration due to gravity)
Plugging in the values and solving the equation, we find:
θ = arctan((2 * 10 - 10 * Im) / (2 + 2 * Im²))
Without knowing the value of Im, it is not possible to determine the exact angle of rotation.
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What would this be?
14. A 3.0 kg metal ball, at rest, is hit by a 1.0 kg metal ball moving at 4.0 m/s. The 3.0 kg ball moves
forward at 2.0 m/s and the 1.0 kg ball bounces back at 2.0 m/s.
(a) What is the total kinetic energy before the collision?
Answer:
The kinetic energy before the collision was 8 J
Explanation:
The given parameters are;
The mass of the metal ball at rest, m₁ = 3.0 kg
The velocity of the ball at rest = 0 m/s
The mass of the metal ball that hits the one at rest, m₂ = 1.0 kg
The velocity of the metal ball that hits the one at rest, v₂ = 4.0 m/s
The velocity with which the 3.0 kg ball moves forward = 2.0 m/s
The velocity with which the 1.0 kg ball bounces back = 2.0 m/s
a) Kinetic energy, K.E. = 1/2 × m × v²
Where;
m = The mass of the of the object in motion
v = The velocity of the object
Before the collision, we have;
Initial K.E. = 1/2 × m₁ × v₁² + 1/2 × m₂ × v₂²
∴ Initial K.E. = 1/2 × 3.0 kg × (0 m/s)² + 1/2 × 1.0 kg × (4.0 m/s) ² = 8 J
The kinetic energy before the collision = The initial K.E. = 8 J.
a balloon is released from a tall building. the total mass of the balloon, including the enclosed gas, is 2.0 kg. its volume is 5.0 m3. the density of air is 1.3 kg/m3. what is the average density of the balloon?
The average density of the balloon having a volume of 5.0 m³ is 0.4 kg/m³
The mass of the balloon with the enclosed gas = 2.0 kg
The volume of the balloon = 5 m³
The density of the air = 1.3 kg/m³
The density of the balloon can be found using the formula
ρ = m/v
where ρ is the density of the balloon
m is the mass of the balloon
v is the volume of the balloon
Let us substitute the known values in the above formula, we get
ρ = 2 / 5
= 0.4
Thus, the density of the balloon is 0.4 kg/m³
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The probe used in a medical ultrasound examination emits sound waves in air that have a wavelength of 0.12 mm. What is the wavelength of the sound waves in the patient?a) 0.54 mm b) 0.12 mm c) 0.26 mm d) 0.027 mm
Answer:
0.54mm
Explanation:
Given the following :
Wavelength (λ) of Soundwave in air = 0.12mm
Velocity of sound wave (v) = 340m/s
Calculate the frequency (f) :
v = fλ
Wavelength to metres
1000mm = 1 m
0.12mm = (0.12/1000)m
= 0.00012m
v = fλ
340 = F * 0.00012
f = 340 / 0.00012
f = 2833333.3 Hz
Wavelength of Soundwave in the patient:
Velocity of sound wave through body tissue = 1540m/s
Therefore,
Using v = fλ
λ = v / f
λ = 1540 / 2833333.3
λ = 0.0005435m
λ = (0.0005435 * 1000)mm
λ = 0.5435mm = 0.54mm
The distance between neighbouring, identical wave components, such as adjacent compressions, determines a sound's wavelength. The number of waves passing a spot in a given amount of time is known as the frequency, which is the same as the source's frequency.
What wavelength of the sound waves in the patient?Wavelength (λ) of Soundwave in air = 0.12 mm
Velocity of sound wave (v) = 340m/s
Calculate the frequency (f) :
v = fλ
Wavelength to metres
1000 mm = 1 m
0.12 mm = (0.12/1000)m
= 0.00012 m
v = fλ
340 = F × 0.00012
f = 340 / 0.00012
f = 2833333.3 Hz
Wavelength of Soundwave in the patient:
Sound waves travel through body tissue at a speed of 1540 m/s.
Therefore, Using v = fλ
λ = v / f
λ = 1540 / 2833333.3
λ = 0.0005435m
λ = (0.0005435 × 1000)mm
λ = 0.5435mm = 0.54 mm
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25 points please help
In the chemical reaction CH4 + 2O2 → CO2 + 2H2O, there are reactants on the left of the equation and products on the right. If you count the atoms in the reactants, there are
a. 4 carbon atoms, 4 hydrogen atoms, and 2 oxygen atoms
b. 1 carbon atom, 4 hydrogen atoms, and 2 oxygen atoms
c. 1 carbon atom, 4 hydrogen atoms, and 4 oxygen atoms
d. 4 carbon atoms, 4 hydrogen atoms, and 4 oxygen atoms
Answer:
the answer is A. 4 carbon atoms, 4 hydrogen atoms, and 2 oxygen atoms
The number of atoms of each molecule of the reactants is required.
The correct option is c. 1 carbon atom, 4 hydrogen atoms, and 4 oxygen atoms
The given reaction is
\(CH_4+2O_2\rightarrow CO_2+2H_2O\)
For carbon atoms
The only carbon atom is present in \(CH_4\)
So, 1 carbon atom
The hydrogen atoms are also present is \(CH_4\)
There are 4 hydrogen atoms.
The oxygen atoms present is \(2\times 2=4\)
So, the number of atoms present in the reactants are c. 1 carbon atom, 4 hydrogen atoms, and 4 oxygen atoms
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The most intense earthquakes happen at
a.
plate boundaries.
b.
subduction zones.
c.
mid-ocean ridges.
d.
collision plate boundaries.
Wil mark brainliest if correct.
Answer:
I would say d sry if im wrong
Explanation:
A heat engine absorbs 30 000 J of heat and releases 15 000 J of heat per cycle. Pa-help po
A heat engine is a device that converts heat energy into mechanical work. In each cycle, the engine absorbs 30 000 J of heat and releases 15 000 J of heat.
This means that the engine is only able to convert a portion of the heat it absorbs into useful work. The remaining heat is released into the surrounding environment. The efficiency of a heat engine is defined as the ratio of the useful work output to the heat input. In this case, the efficiency of the engine would be 15 000 J/30 000 J or 0.5, which means that the engine is only able to convert 50% of the heat it absorbs into useful work. In order to improve the efficiency of a heat engine, engineers must work to reduce the amount of heat that is lost to the environment during each cycle. This can be done through improvements in the design of the engine, such as increasing the temperature difference between the hot and cold sides of the engine or reducing the amount of friction and resistance within the engine itself.
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dew forms when humid air cools overnight. if the temperature falls below freezing, blank will form instead
Question 1
Evidence was critical to the development of the atomic model. Match each experimental evidence with the model it produced.
Match the term to the definition.
Term:(A)Cathode-Ray bends towards positively charged plate term
Term :(B)Alpha-particles pass through the gold foil, and only some were deflected
Term:(C)Mathematically determined the number of electrons that occupy regions around the nucleus
Term:(D)Differing brightness of electron density around nucleus
Definitions: A) Electrons orbit nucleus in fixed circular orbits
B) Electrons and protons embedded in the particle
C) The electrons surround a positively charged nucleus
D) Electrons occupy specific sections around nucleus called orbitals
According to the Evidence was critical to the development of the atomic model. Match each experimental evidence with the model it produced. evidence that led to the establishment of the atomic model was a few positive particles that were fired at a piece of gold foil and appeared to bounce back. Rutherford conducted an experiment in which he allowed alpha particles to strike the gold foil.
There are heavy particles present at the centre of an atom, as evidenced by the fact that some of the particles bounced back. There is a lot of vacant space in an atom since the majority of alpha particles pass through it.
(A) Cathode-Ray bends towards positively charged plate: Electrons orbit nucleus in fixed circular orbits.
(B) Alpha-particles pass through the gold foil, and only some were deflected: Electrons and protons embedded in the particle.
(C) Mathematically determined the number of electrons that occupy regions around the nucleus: The electrons surround a positively charged nucleus.
(D) Differing brightness of electron density around nucleus: Electrons occupy specific sections around the nucleus called orbitals.
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A man walks toward Carrefour beginning at his home. It takes him 2 hours to cover the 7 kilometers. He spends 1 hour in the store. He then walks 2 km in 1 hour in the same direction to drop the toys off to his niece.
a) What is the man's average speed for the whole journey?
b) What is the man's average velocity for the whole journey?
The average speed of the man for the whole journey is 2.25 km/hr.
The average velocity of the man for the whole journey is 2.25 km/hr.
What is the average speed of an object?The average speed of an object is the ratio of the total distance traveled by an object and the time taken for the journey.
The average speed of an object is given mathematically as follows:
Average speed = tota; distance / total time taken
From the data given:
Total distance traveled = 7 km + 2 km
Total distance traveled = 9 km
Total time taken = 2 + 1 + 1
Total time taken = 4 hours
Average speed = 9 km / 4 hrs
Average speed = 2.25 km/hr
The average velocity of the man for the journey is calculated as follows:
average velocity = change in displacement/change in time
The journey took place in the same direction, hence, the displacement is 9 km.
Average velocity = 9 km / 4 hrs
Average velocity = 2.25 km/hr
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In the smartfigure’s typical tidal curve for a bay, how many high and low tides are in one lunar day?
There are two high and two low tides in one lunar day. This is because the Earth rotates through two tidal bulges every lunar day.
The tidal bulges are caused by the gravitational pull of the moon. The moon's gravitational pull is strongest on the side of the Earth that is closest to the moon, and weakest on the side of the Earth that is farthest from the moon. This causes the oceans to bulge out on both sides of the Earth, creating high tides. The low tides occur in between the high tides.The time between high tides is about 12 hours and 25 minutes. This is because it takes the Earth about 24 hours and 50 minutes to rotate once on its axis. However, the moon also takes about 24 hours and 50 minutes to orbit the Earth. This means that the Earth rotates through two tidal bulges every time the moon completes one orbit.
The number of high and low tides can vary slightly depending on the location of the bay. For example, bays that are located in the open ocean tend to have more frequent tides than bays that are located in the middle of a landmass. This is because the open ocean is more affected by the gravitational pull of the moon.
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Identify two changes in your world that might occur if funding for scientific research were cut drastically
Answer:
Little to no scientific advancement
More wide spread diseases
Explanation:
Elena earns $10.50 per hour as a server working x hours per week. She also earns $8.50 per hour editing poetry for y hours per week. Elena needs to make at least $125 to pay her cell phone bill, but she has at most 17 total hours to work per week with her busy college schedule. The system of linear inequalities modeling this situation is shown. 10.50x+8.50y≥125 x+y≤17 Which statement represents a solution to the system of linear inequalities? Elena can work as a server for 5 hours and edit poetry for 10 hours. Elena can work as a server for 5 hours and edit poetry for 10 hours. Elena can work as a server for 10 hours and edit poetry for 9 hours. Elena can work as a server for 10 hours and edit poetry for 9 hours. Elena can work as a server for 10 hours and edit poetry for 1 hour. Elena can work as a server for 10 hours and edit poetry for 1 hour. Elena can work as a server for 3 hours and edit poetry for 10 hours.
Answer:
Option A: Elena can work as a server for 5 hours and edit poetry for 10 hours.
Explanation:
We are given the system of linear inequalities modeling this situation as; 10.50x + 8.50y ≥ 125
x + y ≤ 17
Where;
x represents number of server working hours per week.
y represents number of editing poetry hours per week.
In option A, x = 5 and y = 10. Let's plug them both into the first equation;
10.50(5) + 8.50(10) ≥ 125
Left hand side gives 137.5. So it fulfills the inequality.
Repeating the same for the 2nd equation, we have;
5 + 10 ≤ 17
Left hand side is 15 and it fulfills the equation. Option A is correct.
In option B, x = 10 and y = 9. Let's plug them both into the first equation;
10.50(10) + 8.50(9) ≥ 125
Left hand side gives 181.5. So it fulfills the inequality.
Repeating the same for the 2nd equation, we have;
10 + 9 ≤ 17
Left hand side is 17 and it doesn't fulfill the inequality. Option B is wrong.
In option C, x = 10 and y = 1. Let's plug them both into the first equation;
10.50(10) + 8.50(1) ≥ 125
Left hand side gives 113.5. So it doesn't fulfill the inequality.
Option C is wrong.
In option D, x = 3 and y = 10. Let's plug them both into the first equation;
10.50(3) + 8.50(10) ≥ 125
Left hand side gives 116.5. So it doesn't fulfill the inequality.
Option D is wrong.
What flows in a circuit to generate a current?
A. Protons
B. Electrons
C. Neutrons
Mass moment of inertia of an object about an axis parallel to the centroidal axis is Question 1 options: Smaller than the mass moment of inertia about the centroidal axis Greater than the mass moment of inertia about the centroidal axis Equal to the mass moment of inertia about the centroidal axis
The mass moment of inertia of an object about an axis parallel to the centroidal axis is greater than the mass moment of inertia about the centroidal axis.
The centroidal axis is the axis passing through the centroid of the object. The mass moment of inertia about this axis is the minimum value of the mass moment of inertia for any axis parallel to this axis. When an object is rotated about an axis parallel to the centroidal axis, the distance of each element of the object from the axis of rotation increases. Therefore, the moment of inertia about this axis is greater than the moment of inertia about the centroidal axis.
Therefore, the mass moment of inertia of an object about an axis parallel to the centroidal axis is greater than the mass moment of inertia about the centroidal axis.
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Let's assume you have a mass of 75 kg and your jeep has a mass of 1500 kg. How much greater is the force of gravity on the jeep?
A. 0.05 times
B. 20 times
C. 1500 times
Answer:
20 times
Explanation:
75kg × 20 = 1500kg
Amount of time greater is the force of gravity is 20 times
Given:
Mass of person = 75 kg
Mass of jeep = 1500 kg
Find:
Amount of time greater is the force of gravity
Computation:
Amount of time greater is the force of gravity = Mass of jeep / Mass of person
Amount of time greater is the force of gravity = 1500 / 75
Amount of time greater is the force of gravity = 20 times
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motion is the act of ___
the options are movement, feeling, chemical engergy and sleep
Answer:
hi
Explanation:
An electronic device has a resistance of 20 ohms and a current of 15 A. What is the voltage across the device ?
Question :-
An Electronic Device has a Resistance of 20 Ohm's and a Current of 15 Ampere . What is the Voltage across the Device ?Answer :-
Voltage of the Device is 300 Volt's .\( \rule {180pt}{2pt} \)
Given :-
Resistance = 20 Ohm'sCurrent = 15 AmpereTo Find :-
Voltage = ?Solution :-
As per the provided information in the given question, we have been given that the Resistance of the Device is 20 Ohm's. It's Current is given as 15 Ampere . And, we have been asked to calculate the Voltage .
For calculating the Voltage , we will use the Formula :-
\( \bigstar \: \: \: \boxed {\sf { \: Voltage \: = \: Current \: \times \: Resistance \: }} \)
Therefore , by Substituting the given values in the above Formula :-
\( \Longrightarrow \: \: \: \sf { Voltage \: = \: Current \: \times \: Resistance } \)
\( \Longrightarrow \: \: \: \sf { Voltage \: = \: 15 \: \times \: 20 } \)
\( \Longrightarrow \: \: \: \bf { Voltage \: = \: 300 } \)
Hence :-
Voltage of Device = 300 Volt's .\( \underline {\rule {180pt}{4pt}} \)
Additional Information :-
\( \Longrightarrow \: \: \: \sf {Voltage \: = \: Current \: \times \: Resistance} \)
\( \Longrightarrow \: \: \: \sf {Current \: = \: \dfrac {Voltage}{Resistance}} \)
\( \Longrightarrow \: \: \: \sf {Resistance \: = \: \dfrac {Voltage}{Current} } \)
Answer:
300 volts
Explanation:
now in this question we have been given our resistance which is 20 ohms and our current which is 15A
using ohm's law
V=IR
where v is voltage, I is current and r is resistance
now substitute,
V=15 x 20
V=300
I hope I helped
You drive from San Antonio to Houston, one-half the time at 35 mi/h and the other half at 55 mi/h. On the way back you travel 1/3 the distance at 35 mi/h, the other 1/3 at 55 mi/h and the last 1/3 of the way at 20 mi/h.
What is your average speed
a) from San Antonio to Houston
b) from Houston back to San Antonio and
c) for the entire trip?
The average speeds are as follows:
A) From San Antonio to Houston: 45 mi/h.
B) From Houston to San Antonio: 34.33 mi/h.
C) For the entire trip: 39.67 mi/h.
What is mi/h?Mi/h stands for miles per hour, which is a unit of speed which measures the number of miles a vehicle or object can travel in an hour. It is commonly used in the United States and a few other countries to measure the speed of vehicles on the road. Miles per hour is often abbreviated as mph or mi/h, and one mph is equal to 1.609 kilometers per hour, which is the most common international unit of speed.
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How much power is used in question #2 if the power time was 100secs
I really need the Formula, substitute & solve , answer with units.
Answer:
I just put a random number for the work
Explanation:
I hope it is ok.
true or false the conductivity of conductors and non-conductors depends on temperature and frequency.
True.
The conductivity of both conductors and non-conductors depends on temperature and frequency. Conductors are materials that allow electrons to flow freely through them, and the higher the temperature, the more freely the electrons can move through the conductor. This increases the conductivity of conductors. The frequency of an electric current is also a factor in the conductivity of conductors. As an electric current's frequency increases, a conductor's conductivity also increases.
Non-conductors, such as plastics, porcelains, and glass, are materials that do not allow electrons to flow freely through them. The conductivity of non-conductors also depends on temperature and frequency. As the temperature increases, the more freely the electrons can move through the non-conductor, which increases its conductivity. The frequency of an electric current also affects the conductivity of non-conductors. As the frequency increases, the conductivity of a non-conductor also increases.
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The average speed of sound in ocean water is 1510 m/s. If a sound travels
with a wavelength of 20 m, what is its frequency?*
0. 01 Hz
75. 5 Hz
30. 2 MHz
30,200 Hz
Answer:
75. 5 Hz
Explanation:
velocity = frequency × wave length
1510 = frequency × 20
frequency = 1510÷20 = 75.5 Hz
can you mark my answer brainliest please ♥️...
When three resistors are combined in parallel, the total resistance of the combination is __.
For parallel combination:
Total Resistance : \(\frac{1}{Rp} = \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3}\)
What is Resistance?Current is the overall flow of electrons through a conductor and can be defined as the speed of the flow of electrons. Resistance is defined as the opposition to the current flow. Circuits must have resistance to convert electrical energy into light, heat, or motion. Resistance is called the directional movement of electrons that form an electric current. It is also known that electrons do not move freely in the crystal structure of a conductor. Resistance is the inherent opposition to the flow of electrons present in a conductor. Inductance is the property of any circuit to resist any change in the current while capacitance is the property of the circuit to resist any change in voltage
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A scientist is studying an aquarium ecosystem that contains water, plants, and fish that eat those plants. The aquarium has glass walls so light can get in, but it is sealed so no material can move into or out of the tank. When the scientist turned the aquarium's light on, carbon in the water started decreasing. How is carbon moving and what is happening to the amount of carbon in the living things inside the aquarium? Explain your thinking as completely as possible.
When the light was turned on in the aquarium, the amount of carbon in the form of carbon dioxide (CO2) decreased as a result of the photosynthesis that the plants were performing.
Generally speaking, the carbon is flowing from the water (in the form of carbon dioxide) into the plants through photosynthesis, and then into the fish when they consume the plants.
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how can the motion of an object that is already moving change?
Answer: A force can change the direction in which an object is moving
Explanation: A bigger force of an object will produce a bigger change in motion
BRAINLIEST : A car starts from rest and accelerates at a rate of 40 m/s2 over a time if 2.4 s. How fast is the car going at the end of this time interval?
Please explain
Answer:
\(\boxed {\boxed {\sf 96 \ m/s}}\)
Explanation:
We are asked to find the final velocity of the car given the acceleration and time. We can use the following kinematics equation to calculate the final velocity.
\(v_f=v_i+(a \times t)\)
The car starts from rest, so the initial velocity is 0 meters per second. It accelerates a rate of 40 meters per square second over a period of time of 2.4 seconds.
\(v_i\)= 0 m/s a= 40 m/s²t= 2.4 sSubstitute the values into the formula.
\(v_f= 0 \ m/s + ( 40 \ m/s^2 \times2.4 \ s)\)
Solve inside the parentheses.
40 m/s/s * 2.4 s = 40 m/s * 2.4=96 m/s\(v_f= 0 \ m/s + (96 \ m/s)\)
Add.
\(v_f= 96 \ m/s\)
The final velocity of the car is 96 meters per second.
Justify your answer!! Please explain steps Does the sequence: {4- (3)*}** n=0 If yes, what does it converge to?
The given sequence does converge. It converges to 4. To determine if the given sequence converges, we need to analyze its pattern.
The sequence is defined as {4- (3)}** n=0, where n represents the index of the term in the sequence. The expression within the braces, 4- (3), suggests that each term is obtained by subtracting 3 multiplied by the previous term from 4.
Let's calculate a few terms to observe the pattern:
Term 0: 4 - (3)* = 4 - 0 = 4
Term 1: 4 - (3)4 = 4 - 12 = -8
Term 2: 4 - (3)(-8) = 4 + 24 = 28
Term 3: 4 - (3)*28 = 4 - 84 = -80
From the calculations, it is clear that the sequence does not converge to a specific value. Instead, it oscillates between positive and negative values, never settling down to a single value. Therefore, the given sequence does not converge.
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An object moves from point A to point C along the rectangle shown in the figure below.
a) Find the distance covered by the moving object.
b) Find the magnitude of the displacement of the object.
Answer:
Hello friend where is the figure of the question
The number of waves that pass through a point in a given period of time is known as the __________.
The frequency is the number of waves that traverse a spot in a specific amount of time.
Explanation:-the quantity of times something happens in a certain amount of time. -the number of waves passing a point per second is the frequency of a wave. - The hertz is a measure of frequency ( Hz ). One event occurs every second in a hertz. Shorter wavelengths will equate to lower frequencies if the speed is remained constant.
The frequency of a wave determines its properties. The quantity of waves that pass through a specific spot in a unit of time is known as frequency. Hertz is the S.I. unit for frequency (Hz).
For instance, if a wave travels through a spot in 0.5 seconds, its frequency will be 1 0.5 = 2 Hz.
As a result, two waves will go through that location in a second.
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How did katherine johnson respond when it seemed that certain meetings at nasa were only for men?
Katherine Johnson accepted that the meetings were only for men and didn't ask to attend.
What is meeting?Meetings are when two or more people get together to talk about one or more topics, frequently in a formal or business setting, though they can also happen in a variety of other settings. Group decision-making can be done during meetings.
A meeting is a gathering of two or more individuals called for the express purpose of engaging in verbal interaction in order to accomplish a common objective, such as exchanging information or coming to a consensus. Face-to-face meetings can take place virtually through the use of communications technology, such as a telephone conference call, a skped conference call, or a videoconference.
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