The maximum angle at which the cup can be tilted without falling over is when the gravitational torque is equal and opposite to the torque produced by the weight of the cup acting on the point of contact with the table.
The maximum angle at which a cup can be tilted before it falls over depends on the ratio of the radius of the base of the cup to its height. If the cup is a uniform circular cylinder, then its center of mass is located at a distance of half the height of the cup from the origin. When the cup is tilted, the gravitational force acting on the cup produces a torque that tends to rotate the cup around the point where it touches the table.
By setting these two torques equal to each other and solving for the maximum angle, we can determine how far the cup can be tilted before it falls over.
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Intensity during a cardiovascular endurance workout means..
A. How often the activity is performed
B. How long the activity is performed
C. How hard the activity is performed
D. Where the activity is performed
C
Explanation:
It means how hard the activity is performed.To improve cardio respiratory endurance, the frequency of the workout sessions should be: 5 to 7 sessions per week.
a simple formula for the distance traveled (x in meters) by an air car traveling a track uses the initial starting point (x0 in meters), the initial velocity (v0 in units meters per second), and the acceleration (a in units meters per second squared), and the time traveled (t in seconds).
The simple formula for the distance travelled ( in m ) by the air car is s = \(V_{0}\) t + 1 / 2 at² which is an equation of motion.
According to equations of motion,
s = ut + 1 /2 at²
where,
s = Distance travelled
u = Initial velocity
t = Time travelled
a = Acceleration
Given that,
u = \(V_{0}\)
s = \(V_{0}\) t + 1 / 2 at²
Equations of motion are used to describe position of an object as a function of time. It is done using acceleration, velocity, distance and time.
Therefore, the simple formula for the distance travelled is s = \(V_{0}\) t + 1 / 2 at²
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Which change will cause the gravitational force between a baseball and a soccer ball to increase?
Removing the outer layer of the baseball
Moving the balls father apart
Wrapping the soccer ball in layers of duct tap
Using a baseball with a thinner leather
If you keep them exactly the same distance apart, then wrapping the soccer ball in layers of duct tap will increase he gravitational force between them, because the mass of the soccer ball will increase slightly.
The gravitational force between the baseball and a soccer ball will increase by wrapping the soccer ball in layers of duct tap.
The given problem is based on the concept and fundamentals of gravitational force. The force come into play between the objects on Earth and Earth itself on account of gravity, is known as the gravitational force.
Now considering the given problem, the mathematical expression for the gravitational force is,
\(F = \dfrac{G \times m \times M}{r^{2}}\)
Here,
G is the universal gravitational constant.
m is the mass of baseball.
M is the mass of Soccer ball.
r is the distance between the baseball and Soccer ball.
Clearly, the gravitational force is directly proportional to the masses of Baseball and soccer ball and inversely proportional to the square of distance between them.
So, in order to increase the gravitational force, we need to bring both the balls closer because the masses of each balls remains constant. And this is achieved by wrapping the soccer ball in layers of duct tap.
Thus, we can conclude that the gravitational force between the baseball and a soccer ball will increase by wrapping the soccer ball in layers of duct tap.
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The image produced by a concave mirror is _____
Answer : virtual or real
Answer:
Mostly real
Explanation:
Concave mirrors can have real images.
“ If the object is further away from the mirror than the focal point, the image will be upside-down and real meaning that the image appears on the same side of the mirror as the object.”
The image produced by a concave mirror is virtual or real.
What is concave mirror?When a hollow sphere's inside surface serves as the reflecting surface and the cut part's outside is painted, the result is a mirror. The term "concave mirror" refers to this kind of mirror.
Concave mirrors have certain characteristics.
When light hits the concave mirror's reflecting surface, it converges at a single point and reflects back. A converging mirror is another name for it as a result.A magnified, upright, virtual image can be created by placing the concave mirror very close to the object.The concave mirror creates an image that might be little or large, real or virtual.Learn more about Concave mirrors here:
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FILL IN THE BLANK. when cycling forward in a straight line, the knee is rotating about a(n) ____ axis.
When cycling forward in a straight line, the knee is rotating about a(n) horizontal axis.
Cycling, often known as bicycling or biking when done on a two-wheeled bicycle, refers to the use of cycles for transportation, recreation, exercise, or sport. Cycling enthusiasts are known as "cyclists," "bicyclists," or "bikers." In addition to riding a two-wheeled bicycle, "cycling" also refers to using a recumbent bike or other comparable human-powered vehicles (HPVs), such as a unicycle, tricycle, or quadricycle.
Since their invention in the 19th century, bicycles have grown to almost one billion in number globally. In many regions of the world, especially in heavily populated European towns, they are the main form of transportation. For short to medium distances, cycling is widely regarded as an effective and efficient means of transportation.
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A 590g , 9.0-cm-diameter can is filled with uniform, dense food. It rolls across the floor at 1.2m/sWhat is the can's kinetic energy?
The kinetic energy of A 590g , 9.0-cm-diameter can is filled with uniform, dense food. It rolls across the floor at 1.2m/s is 1.6992 J
What is the kinetic energy?Kinetic energy can be defined as the form of energy possessed by a body due to its motion or change in velocity (acceleration).
Question Parameter(s):
A 590 g , 9.0-cm-diameter can is filled with uniform, dense food. It rolls across the floor at 1.2 m/s .
Generally, the equation for the Kinetic energy is mathematically given as
KE = 1/2mv²
K.E= 1/2 (0.59) (1.2)²
K.E=0.42J
In conclusion, the can's kinetic energy
K.E=1.6992 J
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can u give me the answers to this?
Answer:
Hope this helps.
Explanation:
Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
when is/was gravitational contraction an important energy generation mechanism for the sun?
Answer: It was important when the Sun was forming from a shrinking interstellar cloud of gas.
Hope this helps!!
This process is thought to have been the main source of energy for the sun in the early stages of its development before nuclear fusion reactions in the sun's core became the dominant source of energy.
What is Gravitational contraction?Gravitational contraction is the process by which a celestial body, such as a star, generates energy through the release of gravitational potential energy as it contracts and becomes denser.
Here,
This process is thought to have been the main source of energy for the sun in the early stages of its development before nuclear fusion reactions in the sun's core became the dominant source of energy.
As the sun contracted and became denser, the temperature and pressure in its core increased, leading to the initiation of nuclear fusion reactions. These reactions transformed hydrogen into helium and released a tremendous amount of energy in the form of light and heat, which has sustained the sun for billions of years.
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A force of 6.0 newtons produces a torque of 27 Nm. What is the shortest lever arm that can produce this torque?
Answer:
3.6
Explanation:
Bc its 27nm. And u need to X the answer
You start walking from a point on a circular field of radius 0.5 km and 1 hour later
you are at the same point. What is your average speed for the whole journey?
Answer:
1). average velocity= displacement/time
= here displacement is zero
= 0/1
= 0 m/s
2). average speed= total distance/time
=2πr/1
=(2×22/7×5/10)/1
22/7
3.14 km/h
hope it helps you
please mark brainliest
Explanation:
Answer:
\(\sf \fbox{speed = 3.14 kmph}\)
Explanation:
Given:
Radius of circular field (r) = 0.5 Km
Time taken to complete one round of field (t)= 1 hour
To find:
Average speed for the whole journey=?
Solution:
To find the average speed we will have to find the actual distance covered in given time, & the actual distance covered would be equal to the
\( \sf \: perimeter \: of \: circular \: field = 2 \pi r \\ \sf 2 \pi r = 2 \times 3.14 \times 0.5 = 3.14 \: km\)
Distance covered in 1 hour is 3.14 km,
\(\small \sf Average \: speed = \frac{Distance}{Time} = \frac{3.14}{1} \\ \small \sf \fbox{speed = 3.14 kmph}\)
\( \small\sf \: Thanks \: for \: joining \: brainly \: community! \)
what is the relationship between frequency and pitch?
Put the waves in order from shortest to longest wavelength
Answer:
b, a, c
Explanation:
The middle one has the shortest wavelength, then it's the top one and the last one has the longest wavelength.
Suppose that you walk 15 meters at 30 degrees as measured from the East. Then you walk another 25 meters at 60 degrees from the East what is your net displacement
Answer:
The net displacement is
\(R= \sqrt{A^2+B^2+2AB \cos \theta}\)
\(=\sqrt{15^2+25^2+2AB \cos 30^\circ} \\\\=\sqrt{225+625+ \cos30^0} \\\\=38.7m\)
Explanation:
Suppose that you walk 15 meters at 30 degrees as measured from the East. Then you walk another 25 meters at 60 degrees from the East what is your net displacement
Given data
A = 15 m
B = 25 m
Angle between the vectors A and B is θ = 30°
The net displacement is
\(R= \sqrt{A^2+B^2+2AB \cos \theta}\)
\(=\sqrt{15^2+25^2+2AB \cos 30^\circ} \\\\=\sqrt{225+625+ \cos30^0} \\\\=38.7m\)
Why should a chemical equation be balanced? A. to show ionic compounds B. to show metals from nonmetals C. to show the law of conservation of mass D. to show that the reactants are compounds
Answer:
b
Explanation:
A body of mass 12kg traveling at 4.2m/s collides with a second body of mass 18kg at rest. Calculate their common velocity if the bodies coalesce after collision
Answer:
.
The common velocity of the two bodies after the collision is 2.7 m/s.
This can be calculated using the equation of conservation of momentum:
m1v1 + m2v2 = (m1 + m2)v
where m1 is the mass of the first body (12 kg), v1 is the velocity of the first body (4.2 m/s), m2 is the mass of the second body (18 kg), v2 is the velocity of the second body (0 m/s), and v is the common velocity of the two bodies after the collision.
Substituting the given values into the equation, we get:
12(4.2) + 18(0) = (12 + 18)v
Solving for v, we get:
v = 2.7 m/s
What is a description of compounds?
Answer:
Hey!
Compounds are substances that compose of many identical molecules and composed of atoms from more than one element held together by chemical bonds.
Explanation:
For Example: SALT ( Sodium + Chlorine ⇒ SODIUM CHLORIDE
I HOPE THIS HELPED!
A 1000 ml graduated cylinder contains an aqueous solution of soil. You notice three distinct layers after the solution was shaken and allowed to sit for 2 days; any organic material was removed. You observed layers within the column: sand, silt, and clay. Sand is on the bottom, silt in the middle, and clay on the top. After settling, the top layer goes from 920 ml down to 903 ml; the next layer from 903 down to 745, and the bottom layer from 745 to 0 ml.
a. Name the component of each layer.
b. What is the percentage of each layer?
c. What is this soil's textural callsification?
Please urgent science question explaining needed
Answer:
what is the question? there isn't one
You pull straight up on the string of a yo-yo with a force 0.19 N, and while your hand is moving up a distance 0.12 m, the yo-yo moves down a distance 0.30 m. The mass of the yo-yo is 0.058 kg, and it was initially moving downward with speed 3.4 m/s. (b) What is the new speed of the yo-yo
Answer:
2.54 m/s
Explanation:
By conservation of energy,
work done by force due to hand = mechanical energy gained by yo-yo
So Fd = mgh + 1/2m(v₂² - v₁²)
where F = force on string = 0.19 N, d = distance moved by hand = 0.12 m, m = mass of yo-yo = 0.058 kg, g = acceleration due to gravity = 9.8 m/s², h = distance moved by yo-yo = 0.30 m, v₁ = initial speed of yo-yo = 3.4 m/s and v₂ = final speed of yo-yo = unknown
So, Fd = mgh + 1/2m(v₂² - v₁²)
Fd/m = gh + 1/2(v₂² - v₁²)
Fd/m - gh = 1/2(v₂² - v₁²)
2(Fd/m - gh) = (v₂² - v₁²)
(v₂² - v₁²) = 2(Fd/m - gh)
v₂² = v₁² + 2(Fd/m - gh)
taking square-root of both sides, we have
v₂ = √[v₁² + 2(Fd/m - gh)]
Substituting the values of the variables into the equation, we have
v₂ = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]
v₂ = √[(3.4 m/s)² + 2(0.19 N × 0.12 m/0.058 kg - 9.8 m/s² × 0.30 m)]
v₂ = √[(3.4 m/s)² + 2(0.0228 Nm/0.058 kg - 9.8 m/s² × 0.30 m)]
v₂ = √[(3.4 m/s)² + 2(0.393 Nm/kg - 2.94 m²/s²)]
v₂ = √[(3.4 m/s)² + 2(-2.547 m²/s²)]
v₂ = √[11.56 m²/s² - 5.094 m²/s²)]
v₂ = √[6.466 m²/s²]
v₂ = 2.54 m/s
When a molecule of diatomic is split into two oxygen atoms its results in
Hello pls help me if possible
Answer: The x-component of the acceleration is \(-0.45m/s^{2}\)
There u go (:
which of the following factors did chen, roll, and ross include in their multifactor model?
Chen, Roll, and Ross included several factors in their multifactor model. Specifically, their model included the market factor, size factor, book-to-market factor, and momentum factor.
The market factor captures the overall performance of the stock market and is typically measured by the returns of a broad-based market index such as the S&P 500.
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Please help by 8:00! Thank you so much!!!
Answer: I think a
Explanation: mere guess
Answer: Twice as many chromosomes as their parents.
Explanation:
seawater velocity = 1478 m/s water depth = 509 m sandstone velocity = 2793 m/s thickness=1003 m mudstone velocity= 2240 m/s thickness = 373 m Air Gun Energy Source Note: Illustration is not to scale. Hydrophone Receivers seafloor sand/mud 2. In the marine seismic acquisition example shown, you are interested in two events observed in the seismic trace that is recorded at the first hydrophone. One is a first-order multiple (double bounce) off the seafloor. The other is a primary reflection from the sand/mud interface for which the energy ray-path has a takeoff angle of 9 degrees from vertical as shown. Assume horizontal rock layers and isotropic velocities. Which of the two events arrives at the hydrophone first-the primary or the multiple? Clearly show your calculations and include a simple drawing of the two- event seismic trace. 3. How long does it take for energy to travel directly from the air gun to the first hydrophone (no bounces)? 4. What is the maximum takeoff angle at which seismic energy can reflect from the sand/mud interface? Explain what happens to the energy for larger angles. 5. Explain the relative direction of travel for energy that is transmitted into the mudstone.
2. The primary reflection from the sand/mud interface will arrive first at the hydrophone. To determine which event arrives first, we need to calculate the two-way travel times (TWTT) for each event. The TWTT for the primary reflection from the sand/mud interface is:
TWTT = (2 × depth × sin (angle of incidence)) / velocity
TWTT = (2 × 509 × sin (9)) / 1478TWTT = 0.317 s
The TWTT for the double bounce off the seafloor is:TWTT = (2 × depth) / velocityTWTT = (2 × 509) / 1478TWTT = 0.689 s
Therefore, the primary reflection arrives first at the hydrophone. Here is a simple drawing of the two-event seismic trace:
3. To calculate the time it takes for energy to travel directly from the air gun to the first hydrophone, we need to determine the distance between them and divide it by the velocity of sound in seawater. Using the given values, we have:
Distance = depth + (thickness of sand/mud) + (thickness of mudstone)
Distance = 509 + 1003 + 373
Distance = 1885 m
Velocity of sound in seawater = 1478 m/s
Time = Distance / VelocityTime = 1885 / 1478Time = 1.276 s
Therefore, it takes 1.276 seconds for energy to travel directly from the air gun to the first hydrophone.
4. The maximum takeoff angle at which seismic energy can reflect from the sand/mud interface is called the critical angle. This angle can be calculated using Snell's law:
n1 × sin (angle of incidence) = n2 × sin (angle of refraction)
where n1 and n2 are the velocities of the two materials and the angle of refraction is 90 degrees (since seismic energy travels along a horizontal path once it reaches the interface).
For the sand/mud interface, the critical angle is:
n1 × sin (critical angle) = n2 × sin (90)n1 / n2 = cos (critical angle)critical angle = cos^-1 (n1 / n2)
Using the given values:
n1 = 2793 m/s (sandstone velocity)n2 = 2240 m/s (mudstone velocity)critical angle = cos^-1 (2793 / 2240)
critical angle = 35.9 degrees
Seismic energy cannot reflect from the sand/mud interface at angles greater than the critical angle. For larger angles, the energy will be transmitted into the mudstone.
5. When seismic energy is transmitted into the mudstone, it travels in all directions away from the source. However, the energy will be attenuated (reduced in amplitude) as it travels through the mudstone due to its relatively low velocity compared to the sandstone and seawater.
As a result, the mudstone acts as a barrier that blocks or reduces the energy that would otherwise be transmitted deeper into the subsurface.
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An engine flywheel initially rotates counterclockwise at 6.01 rotations/s. Then, during 24.1 s, its rotation rate changes to 2.05 rotations/s clockwise. Find the flywheel's average angular acceleration (including its sign) in radians per second squared. Define counterclockwise rotation as positive.
The average angular acceleration of a flywheel is \(2.1 rad/s^2\) . This value is calculated using the change in angular velocity and dividing it by the change in time.
To find the average angular acceleration of the flywheel, we need to calculate the change in angular velocity and divide it by the change in time. The initial angular velocity is given as 6.01 rotations/s counterclockwise, while the final angular velocity is 2.05 rotations/s clockwise.
To find the change in angular velocity, we can subtract the final angular velocity from the initial angular velocity:
\(Change in angular velocity = Final angular velocity - Initial angular velocity\)
= 2.05 rotations/s - (-6.01 rotations/s)
= 8.06 rotations/s
Next, division in change in angular velocity by the change in time:
\(Average angular acceleration = Change in angular velocity/Change in time\)
\(= 8.06 rotations/s / 24.1 s\\= 0.334 rotations/s^2\)
Since we need to express the answer in radians per second squared, we multiply the average angular acceleration by \(2\pi\)(since there are \(2\pi\)radians in one rotation):
Average angular acceleration = \(0.334 rotations/s^2 * 2\pi rad/rotation\)
\(=2.1 rad/s^2\) (rounded to one decimal place)
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When is an astronaut typically assigned to a mission?
after graduating college
after obtaining a PhD
after finishing postdoc research
after completing a two-year training
An astronaut is typically assigned to a mission after completing a two-year training.
What does an astronaut do?An astronaut is a person who, after rigorous training of two years or more, will have the ability to operate or man a spacecraft. These will be trained to work in space programs that are coordinated by the government or by different private companies.
The astronauts are going to carry out the space flights fulfilling a certain mission that is commissioned by the government or the private company.
One of the main functions that astronauts have is to meet with the crew to coordinate tasks, pilot the ship, communicate with the personnel on the ground to report on the state of the ship, respond to emergencies, among others.
Therefore, we can confirm that an astronaut is typically assigned to a mission after completing a two-year training.
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Answer:
d. after two year training
Explanation:
took astronomy test
A long straight conductor carries a current of 100 A. At what distance from the axis is the magnetic field caused by the current equal in magnitude to earth's magnetic field which is 0.5 E-4 T
A) 0.4 m
B) 25 m
C) 2.5 m
D) 4.0 m
The correct answer is not provided in the given options A, B, C, or D. The distance from the axis at which the magnetic field caused by the current is equal in magnitude to Earth's magnetic field is 125 meters.
To find the distance from the conductor at which the magnetic field caused by the current is equal to the Earth's magnetic field, we'll use the formula for the magnetic field around a long straight conductor:
\(B = (de * I) / (2 * \pi * r)\)
Where B is the magnetic field, μ₀ is the permeability of free space (\(4\pi * 10^-7 Tm/A\)), I is the current, and r is the distance from the conductor. We want to find the value of r when B equals Earth's magnetic field (0.5 x 10⁻⁴ T).
\(0.5 * 10^-4 T = (4\pi * 10^-7 Tm/A * 100 A) / (2 * \pi * r)\)
To solve for r, we can first simplify the equation by cancelling the π terms:
\(0.5 * 10^-4 T = (4 * 10^-7 Tm/A * 100 A) / (2 * r)\)
Now, cancel out the A (Amperes) terms:
\(0.5 * 10^-4 T = (4 * 10^-7 Tm) / (2 * r)\)
Divide both sides by 4 x 10⁻⁷ T:
\(r = (0.5 * 10^-4 T) / (4 * 10^-7 T)\)
Simplify the equation:
r = \(0.5 * 10^3 m / 4\)
r = 500 / 4
r = 125
So, the correct answer is not provided in the given options A, B, C, or D. The distance from the axis at which the magnetic field caused by the current is equal in magnitude to Earth's magnetic field is 125 meters.
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Eileen, who is currently paying $1,080 per year in finance charges to her credit card company, wants a car that costs $9,000. How long would it have taken Eileen to save for the outright purchase of the car if she did not have any credit card debt and used the interest payments to save for the purchase of the car? Eileen can invest funds in an account paying 4% interest. To save for the outright purchase of the car, it would take Eileen years
It would take Eileen approximately 6.25 years to save for the outright purchase of the car if she used the interest payments from her credit card debt to accumulate savings.
To calculate the time it would take Eileen to save for the outright purchase of the car using the interest payments from her credit card debt, we need to consider the finance charges she pays and the interest she earns on her savings.
Given:
Finance charges paid per year = $1,080
Cost of the car = $9,000
Interest rate on savings = 4%
First, we need to determine how much Eileen can save each year by using the finance charges. This amount is equal to the finance charges paid per year, which is $1,080.
Next, we calculate the interest Eileen can earn on her savings each year. This can be calculated using the interest rate of 4% on her savings.
Now, we can calculate the number of years it would take Eileen to save enough to purchase the car outright by dividing the cost of the car by the savings she can accumulate each year.
Number of years = Cost of the car / (Savings per year + Interest earned per year)
Substituting the given values into the equation:
Number of years = $9,000 / ($1,080 + ($9,000 * 0.04))
To evaluate the number of years it would take Eileen to save for the outright purchase of the car, let's substitute the given values into the equation:
Number of years = $9,000 / ($1,080 + ($9,000 * 0.04))
Number of years = $9,000 / ($1,080 + $360)
Number of years = $9,000 / $1,440
Number of years ≈ 6.25 years
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Imagine the following objects in deep space, separated by a kilometre. which pair of objects experiences the largest gravity force? a proton and an electron an apple and a brick two apples an apple and a proton
The pair of objects that experiences the largest gravity force is an apple and a brick
An object will be weightless in outer space, away from the gravitational field of Earth (or another massive planet), yet it will still have mass and consequently resistance to a given force.
When one body has a higher mass than another, it is said to be more massive. The electron, with a mass of about 9.11 10-31 kg, is one of the Universe's least massive things. Hence, the combination of a proton and electron would experience the least gravity force. The combination of an apple and a brick has the most mass hence would experience the largest gravity force. Two apples or an apple and a proton are less massive compared to an apple and a brick thus incorrect.
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WHAT IS THE ANSWER PLS LMK TYY