The set A intersection set B complements \((A \ n\ B^C)\) is {5, 12}.
What is a Venn diagram?
Venn diagram is an illustration that uses circles to show the relationships among set of numbers.
Elements in set AA = {3,4,5,12}
Elements in set BB = {3,4,7,14}
Set B complements\(B^C \) = {5, 8,12}
Set A intersection set B complements \((A \ n\ B^C)\) is calculated as follows;
\((A \ n\ B^C)\) = {3,4,5,12} ∩ {5, 8,12} = {5,12}
Thus, the set A intersection set B complements \((A \ n\ B^C)\) is {5, 12}.
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How fast is the football traveling when it reaches Lilah?
Question:
Felipe is riding his skateboard toward Lilah at 15 km/h. He throws a football to Lilah. The football is thrown at 8.
Answer:
23 km/h
The word photokinetic means “moving in response to light”. Why does this make sense based on the two main parts (morphemes) in this word?
Explanation:
photo means light in latin
kinetic means to move
A student is using two circuits to investigate power consumption. She connects two identical light bulbs in series in one circuit and in parallel in the second circuit. What should she measure to calculate which configuration uses more power?
Responses
A The resistance of the bulbs and the potential difference of the battery.The resistance of the bulbs and the potential difference of the battery.
B The current flowing into each bulb and the potential difference across each bulb.The current flowing into each bulb and the potential difference across each bulb.
C The current flowing out of the battery and the resistance of each bulb.The current flowing out of the battery and the resistance of each bulb.
D The potential difference of the battery and the resistance of the battery.
The potential difference across the each bulb and the current entering each bulb.
What occurs if you connect two light bulbs in series?Each bulb in a straightforward parallel circuit receives the entire battery power. This is explains why the parallel circuit's lights will shine stronger than the series circuit's. The parallel circuit also has the benefit of maintaining an electricity even if one loop is disconnected.
When are two identical bulbs linked in both series and parallel?The same brightness is produced when two identical bulbs are linked in parallel as it is when they are connected in a series, which is why.
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what is the deceleration of the rocket stud if it comes to rest in 1.1s from a speed of 1,000 km/h?
The rocket comes to rest from an initial velocity of 1000 km/h or 277.7 m/s within 1.1 seconds. Then the deceleration of the rocket stud is - 252.52 m/s² .
What is deceleration ?The acceleration of an object is the rate of change in velocity. The term "accelerating" is used to indicate the positive change in velocity. Deceleration is just opposite, it indicates the decreasing rate of velocity.
acceleration a= v - u/t
where v is the final velocity and u be the initial velocity.
Given t = 1.1 s
v = 0 since the rocket is going to rest.
u = 1000 km/hr
= 277.7 m/s.
Then a = 0 - 277.7 m/s/ 1.1 s
= - 252.52 m/s²
Therefore, the deceleration of the rocket is -252.52 m/s² .
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what would happen if both dogs pulled the rope with a force of 85 N?
the rope wouldnt move, the force of both dogs pulling us also called tension
A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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PLS HELP!! This question was never fully solved!
An object moving at 13 m/s has a kinetic energy of 426 J. What is the mass of the object?
1.26 kg
2.52 kg
5.04 kg
65.5 kg
To find the mass of the object, we can use the formula for kinetic energy:
Kinetic energy (KE) = (1/2) * mass * velocity^2
Given that the kinetic energy is 426 J and the velocity is 13 m/s, we can rearrange the equation to solve for the mass:
mass = (2 * KE) / (velocity^2)
Substituting the given values:
mass = (2 * 426 J) / (13 m/s)^2
mass = (2 * 426 J) / (169 m^2/s^2)
mass = 852 J / 169 m^2/s^2
mass = 5.04 kg
Therefore, the mass of the object is 5.04 kg.
Mathias is going to do some informational interviewing. What is one of the main benefits of doing these interviews?
O A.
OB.
O C.
O D.
A.He will gain insight about a new career opportunity.
B.He will likely be offered a position with a company.
C.He will be able to ask questions about job openings.
D.He will find out how much money everyone earns.
Answer:
A
Explanation:
One of the main benefits of informational interviewing is that it allows the person conducting the interviews to gain insights and information about a particular career or industry.
Multiply the following and write your answer using significant figures. What is 25 x 15?
A particle of charge Q and mass m is accelerated from rest through a potentialdifference V, attaining a kinetic energy K. What is the kinetic energy of a partical of charge2Q and mass m/2 that is accelerated fromrest through the same potential difference?
a) K/4
b) K/2
c) K
d) 2K
e) 4K
Hi there!
Recall the equation for work given a potential difference and charge:
\(\large\boxed{W = qV}\)
W = Work (J)
q = charge (C)
V = Potential difference (V)
The work is equivalent to the change in KINETIC ENERGY, and only depends on the particle's charge and the potential difference that it experiences. Mass has no impact on this.
Thus:
\(W' = (2Q)(V) = 2W\)
This is equivalent to:
\(\large\boxed{2W = \text{ d) } 2K}}\)
HELP.
If an object is moving with a
constant velocity of 510 cm/s and starts at an initial position of 30 cm at t=0, what will be the position at t=0.2 s?
The position at time t = 0.2 s, given the data from the question is 132 cm
What is velocity?Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:
Velocity = change of displacement / time
With the above formula, we can obtain the position at t = 0.2 s. Details below:
How to determine the displacement at t = 0.2 sFrom the question given above, the following data were obtained:
Time 1 = 0 sTime 2 = 0.2 sChange in time = 0.2 - 0 = 0.2 sVelocity = 510 cm/sDisplacement 1 = 30 cmDisplacement 2 =?Velocity = change of displacement / time
510 = (Displacement 2 - 30) / 0.2
Cross multiply
Displacement 2 - 30 = 510 × 0.2
Displacement 2 - 30 = 102
Collect like terms
Displacement 2 = 102 + 30
Displacement 2 = 132 cm
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Which kind of wave interaction is shown?
Answer:
where?
Explanation:
ill edit my answer when see it
A ventilation system has intake round opening with 20 cm diameter and square out opening with side of 25.06 cm. If the air exits the system with 100 cm/a what is the speed at the intake?
The speed at the intake is 199.89 cm/s
Since the volume flow rate, Q = Av is constant where
A = cross-sectional area and v = flow speed,We have that from the continuity equation,
Continuity equation
A₁v₁ = A₂v₂ where
A₁ = cross-sectional area of intake = πd²/4 where d = diameter of intake = 20 cm, v₁ = speed of intake, A₂ = cross-sectional area of outlet = L² where L = length of side of outlet = 25.06 cm and v₂ = speed of outlet = 100 cm/sSo, A₁v₁ = A₂v₂
πd²v₁/4 = L²v₂
Speed at the intakeMaking v₁ subject of the formula, we have
v₁ = 4L²v₂/πd²
So, substituting the values of the variables into the equation, we have
v₁ = 4L²v₂/πd²
v₁ = 4(25.06 cm)² × 100 cm/s/[π(20 cm)²]
v₁ = 4 × 628.0036 cm² × 100 cm/s/[400π cm²]
v₁ = 2512.0144 cm² × 100 cm/s/1256.6371 cm²
v₁ = 1.9989 × 100 cm/s
v₁ = 199.89 cm/s
So, the speed at the intake is 199.89 cm/s
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The cart is given an initial push up the ramp. After this push, as the car moves up the ramp, the direction of the acceleration of the cart is_________the ramp. After ther turns around, and begins moving down the ramp, the direction of the acceleration of the cart is__________ eaches its highest point, the ramp. At the highest point the cart reaches on the ramp, when the cart momentarily comes to rest, the magnitude of the acceleration of the cart is_________O down, down, zeroO up, down, nonzeroO down, down, nonzeroO up, down, zero
The correct answers to the blanks are 1. UP ,2. UP and 3. ZERO
When the cart is initially given a push up the ramp, the direction of the acceleration of the cart is up the ramp. This is because the net force acting on the cart is directed up the ramp, in the same direction as the component of the gravitational force that is parallel to the ramp. As a result, the cart accelerates up the ramp in the same direction as the net force.
When the cart turns around and begins moving down the ramp, the direction of the acceleration of the cart is still up the ramp. This is because the component of the gravitational force that is parallel to the ramp is still directed down the ramp, but the net force acting on the cart is directed up the ramp due to the normal force exerted by the ramp on the cart. As a result, the cart accelerates down the ramp in the opposite direction to the net force, which is up the ramp.
At the highest point that the cart reaches on the ramp, when the cart momentarily comes to rest, the magnitude of the acceleration of the cart is zero. This is because at this point, the cart is at the highest point on the ramp and has stopped moving. As a result, the velocity of the cart is zero, and therefore the acceleration of the cart is also zero.
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When a car comes to a stop, the car’s brakes create an (answer) that is in the same direction/opposite direction as the velocity vector.
When a car comes to a stop, the car’s brakes create a force that is in the opposite direction as the velocity vector.
What is a friction force?A friction force is a type of force that opposes two surfaces that are in contact with each other.
According to Newton's first law of motion, an object at rest or uniform motion in a straight line will continue in that state unless it is acted upon by an external force. And the object will tend to move in the direction of the applied force.
So if a car's brake is applied, it will create a friction force that will oppose the motion of the car and by so doing, it will gradually bring the car to a complete stop.
The force created by the brake of the car is friction force and it is in opposite direction to the force of the car.
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A car travelling at 25 m/s has momentum 20,000 Kgm/s, calculate the mass of the car.
\( \Large {\underline { \sf {Required \; Solution :}}}\)
We have ―
Velocity of the car, v = 25 m/sMomentum of the car, P = 20,000 kg.m/sWe have been asked to calculate the mass of the car, m.
\(\qquad\implies\boxed{\red{\sf{ P = mv}}}\\\)
P denotes momentumm denotes massv denotes velocity\( \quad \twoheadrightarrow\sf { 20000 = 25m} \\ \)
\( \quad \twoheadrightarrow\sf { \cancel{\dfrac{20000}{25}} = m} \\ \)
\(\quad\twoheadrightarrow\boxed{\red{\sf{ m = 800 \; kg}}}\\\)
Therefore, mass of the car is 800 kg.
BRAINLIEST IF UR RIGHT!!!
Answer:cart 3
Explanation:
A negative lightning strike occurs when a negatively charged cloud discharges its excess electrons to the positively charged ground. If you observe a cloud-to-cloud lightning strike, what can you say about the charge on the area of the cloud struck by lightning?
1. The area of the cloud that was struck by lightning is neutral.
2. The area of the cloud that was struck by lightning had a positive charge.
3. The area of the cloud that was struck by lightning had a negative charge.
The area οf the clοud that was struck by lightning had a negative charge, sο, οptiοn (d) is cοrrect.
What is electrοns ?The negatively charged atοm's electrοns are respοnsible fοr this. An atοm's tοtal negative charge, which is prοduced by all οf its electrοns, cοunteracts the pοsitive charge οf the prοtοns in the atοmic nucleus.
What is electric charge?Prοtοns and electrοns, which functiοn as charge carriers, frequently carry bοth pοsitive and negative electric charges. By mοving charges, energy is prοduced. Charge—alsο referred tο as electric charge, electrical charge, οr electrοstatic charge—is a prοperty οf a unit οf matter in physics and is denοted by the letter q.
Therefοre, The area οf the clοud that was struck by lightning had a negative charge, sο, οptiοn (d) is cοrrect.
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A wave has an amplitude of 0.0800 m
and is moving 7.33 m/s. One oscillator
in the wave takes 0.230 s to go from
one crest to the next crest. Find the
wavelength of the wave.
(Unit = m)
If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The
wavelength of the wave is 1.69m.
What is the wavelength?The wavelength of a wave can be determined using the equation:
Wavelength = velocity / frequency
To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.
frequency = 1 / time
frequency = 1 / 0.230
frequency ≈ 4.35 Hz
Substitute the values into the wavelength equation:
wavelength = velocity / frequency
wavelength = 7.33 / 4.35
wavelength ≈ 1.69m
Therefore the wavelength of the wave is approximately 1.69 meters.
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a trapeze is a short horizontal bar held up by two vertical ropes on either side. An acrobat with a mass of 60 kg provides a 588 N downward force on the bar. Each of the two ropes provide an upward force of 349 N. What is the upward acceleration of the acrobat?
The upward acceleration of the acrobat is 1.833 m/s².
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Mass of the acrobat; M = 588 N.
Weight of the acrobat acting downwards; W = 588 N.
Upward force provided by each of the two ropes; f = 349 N.
Hence, net force acting on the acrobat in upward direction = 2f -w
= (2×349 - 588 ) N.
= 110 N.
Hence, the upward acceleration of the acrobat is = net force/ mass
= 110/60 m/s².
=1.833 m/s².
So, the upward acceleration of the acrobat is 1.833 m/s².
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A student uses a spring scale attached to a textbook to compare the static and kinetic friction between the textbook and the top of a lab
table. If the scale measures 1,580 g while the student is pulling the sliding book along the table, which reading on the scale could have been
possible at the moment the student overcame the static friction? (1 point)
1,860 g
820 g
1,580 g
1,140 g
Answer:
1,860 g
Explanation:
In a system, the coefficient of static friction is usually higher than the coefficient of kinetic friction. This means that the kinetic friction is usually less than the static friction. From the question, since the book is already sliding, it means that kinetic friction is the friction in play. This means that before the reading on the scale that could have been possible at the moment the student overcame the static friction must be greater than the reading on the scale during sliding. The only option above 1580 g is 1860 g
Electric toothbrushes can be effective in removing dental plaque. One model consists of a head 1.10 cm in diameter that rotates back and forth through a 70.0 degrees angle 7600 times per minute. The rim of the head contains a thin row of bristles.Part A: What is the average angular speed in each direction of the rotating head, in rad/s?Part B: What is the average linear speed in each direction of the bristles against the teeth? (to two sig. figures)Part C: Using your own observations, what is the approximate speed of the bristles against your teeth when you brush by hand with an ordinary toothbrush? (Estimate that the toothbrush turns back and forth through 45 degrees five times per second) (in cm/s, two sig. figures).
The average angular speed in each direction of the rotating head is 9.42 rad/s.
The average linear speed in each direction of the bristles against the teeth is 5.09 cm/s.
The approximate speed of the bristles against the teeth when brushing by hand with an ordinary toothbrush is 1.26 cm/s.
Part A: The formula ω = Δθ/Δt can be used to determine the rotating head's average angular speed in each direction.
Where Δθ denotes the angular displacement, Δt denotes the rotational time, and ω denotes the angular speed.
In this instance,
Δt = 1/(7600/2) s/rotation, and Δθ= 70.0 degrees = 70.0 x (π/180) radians.
Thus, ω = (70.0 x (π/180)) / (1/(7600/2)) = 9.42 rad/s is the average angular speed in each direction.
Part B: The following equation can be used to determine the average linear speed of the bristles against the teeth:
v = rω
where r is the head's radius (0.55 cm), v is the linear speed, and ω is the angular speed.
The average linear speed is therefore v = 0.55 x 9.42 = 5.09 cm/s in each direction (rounded to two significant figures)
Part C: Although it is challenging to measure precisely, it is possible to estimate the speed of the bristles against the teeth when brushing by hand with a regular toothbrush. The average linear speed can be estimated using the formula v = rΔθ/Δt if we suppose that the bristles rotate through an average displacement of 45 degrees five times each second.
Where Δθ = 45 degrees, Δt = 1/5 s, and r = the radius of the bristles (estimated as 0.2 cm).
So, the average linear speed is approximately:
v = 0.2 x (45 x (π/180)) / (1/5) = 1.26 cm/s (rounded to two significant figures).
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An industrial/organizational psychologist wants to improve worker productivity for a client firm, but first he needs to gain a better understanding of the life of the typical white-collar professional. Fortunately, he has access to the 2020 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, which surveyed a sample of 650 white-collar professionals (250 legal professionals and 400 other professionals).
One of the survey questions was, "During the average workday, how many hours do you spend attending meetings?" For the subsample of legal professionals (n = 200), the mean response was M = 2.0 hours, with a sample standard deviation of s = 5.1 hours.
The estimated standard error is = 0.323.
The psychologist can be 99% confident that the interval from _____ to _____ includes the unknown population mean µ.
Based on the research data, the psychologist can be 99% confident that the interval from 1.07 to 2.94 includes the unknown population mean µ.
What is confidence Interval?A confidence interval is a range of values within which a researcher can be fairly certain that the true value of the mean can be found.
The confidence Interval of the survey above is calculated using the formula:
\( x ± z( σ/√n)\)
where
x is the sample mean,σ is the population standard deviation,n is the sample size, and z is the z-value for the selected confidence level.From the data provided;
x = 2.0
σ = 5.1
n = 200
z = 2.576 for 99% confidence
Therefore, the confidence Interval is:
\( 2.0 ± 2.576( 5.1/√200)\)
Confidence interval = 2.0 ± 0.93.
Therefore, the psychologist can be 99% confident that the interval from 1.07 to 2.94 includes the unknown population mean µ.
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What is the momentum of a 8850 kg medium truck that is traveling with a velocity of 55 m/s west on the highway
Answer:
486,750 kg*m/s
Explanation:
Momentum is mass*velocity
M = m*v
M = 8850kg*55m/s
M = 486,750 kg*m/s
The momentum of an 8850 kg medium truck that is traveling with a velocity of 55 m/s west on the highway is 486750 kg m / s.
What is momentum?Momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum.
According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum.
Given:
The mass of the truck is, m = 8850 kg,
The velocity of the truck is, v = 55 m/s,
Calculate the momentum of the truck as shown below,
Momentum = m × v
Momentum = 8850 × 55
Momentum = 486750 kg m / s
Thus, the Momentum of the truck is 486750 kg m / s.
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When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?
The skater's final angular velocity is approximately 9.86 rad/s.
The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Initially, the skater has an angular momentum of:
L_initial = I_initial * ω_initial
Substituting the given values:
L_initial = 2.12 kg m² * 3.25 rad/s
The skater's final angular momentum remains the same, as angular momentum is conserved:
L_final = L_initial
The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:
L_final = I_final * ω_final
0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s
Solving for ω_final:
ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²
Hence, the skater's final angular velocity is approximately 9.86 rad/s.
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A cheetah can run at a maximum speed 107 km/h and a gazelle can run at a maximum speed of 71.8 km/h. If both animals are running at full speed, with the gazelle 95.6 m ahead, how long before the cheetah catches its prey? Answer in units of s.
Answer:
9.8 seconds
Explanation:
Let's start by changing the speeds of both animals into meters per second:
107 km/h = 107000 m/3600s = 29.72 m/s
71.8 km/h = 71800 m/3600s = 19.94 m/s
The distance covered equation for the cheetah is:
Dc = 29.72 t
The distance covered equation for the gazelle considering as origin the cheetah's starting location, is:
Dg = 95.6 + 19.94 t
We make both equations equal at the time (t) the cheetah catches with the gazelle:
Dc =Dg
29.72 t = 95.6 + 19.94 t
solve for "t":
29.72 t - 19.94 t = 95.6
9.78 t = 95.6
t = 95.6 / 9.78
t = 9.775 seconds
We can approximate it to 9.8 seconds
Help me please I need it as soon as possible
Answer: B im sorry if its wrong
Explanation:
can a body have an east velocity while expressing westward acceleration
Yes it can, an object can be moving a certain direction while the ACCELERATION is in the opposite direction.
Lets say your riding a bike... if your squeezing your handle bar breaks, the acceleration of the bike would be pushing in the opposite direction of the direction the bike is moving.
Hope this helped!
which of the following is not a good working habit in doing an embroidery
Answer:
Where is following ??
Post proper Ques
1. What is an asteroid that is pulled off course by a planet's gravity and orbits around that planet called
Answer:
I don't know but take a guess from these
Explanation:
Trojan Asteroids
Moons
Satellites
trojan asteroids revolves around the planet due to gravitational force of that planet.
An asteroid that is pulled by a gravitational force of planet and orbits around that planet is called trojan asteroids. These trojan asteroids are present around the Jupiter planet. The Jupiter has a large population of trojan asteroids revolving around the planet.
The gravitational force of the planet compels the asteroid to move around the planet and prevent it from going away to the atmosphere so we can conclude that trojan asteroids revolves around the planet due to gravitational force of that planet.
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