The area of the portion of the plane is 10x+7y+z=4. It is contained within the 15π√150 elliptic cylinder.
What is an unrolled cylinder's surface area?A cylinder has a volume of r2 h and a surface area of r2 h + r2 h.
We are given;
10x + 7y + z = 4
Making z the subject, we have;
z = 4 - 10x - 7y
area of the surface as part of z = f(x, y) is;
A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA
z = 4 - 10x - 7y,
∂f/∂x = -10
∂f/∂y = -7
Thus;
A(S) = ∫∫√[(-10)² + (-7)² + 1]dA
A(S) = √150 ∫∫dA
Where ∫∫dA is the elliptical cylinder
Using the formula for the general form of an elliptical area,
x²/a² + y²/b² = 1 and comparing with
x²/25 + y²/9 = 1, we have;
a = 5 and b = 3
So, area of elliptical cylinder = πab
Thus;
A(S) = √150 × π(5 × 3)
A(S) = 15π√150
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A 1.5 kg object is located at a distance of 6.4 x 10^6 m from the center of a larger object whose mass is 6.0 x 10^24 kg what is the size of the force acting on the smaller object?
Answer:
Approximately 2.4 x 10^-8 N.
Explanation:
The force acting on the smaller object can be calculated using the formula for gravitational force:
F = G * (m1 * m2) / d^2
Where F is the force, G is the gravitational constant (6.674 x 10^-11 N * m^2 / kg^2), m1 is the mass of the smaller object (1.5 kg), m2 is the mass of the larger object (6.0 x 10^24 kg), and d is the distance between the two objects (6.4 x 10^6 m).
Substituting these values into the formula, we get:
F = 6.674 x 10^-11 * (1.5 * 6.0 x 10^24) / (6.4 x 10^6)^2
We can simplify this expression by dividing both sides by 6.0 x 10^24 to get:
F / 6.0 x 10^24 = 6.674 x 10^-11 * (1.5 / (6.4 x 10^6)^2)
Then we can simplify the right-hand side by performing the calculations in parentheses:
F / 6.0 x 10^24 = 6.674 x 10^-11 * (1.5 / (6.4 x 10^6)^2)
= 6.674 x 10^-11 * (1.5 / 41.6 x 10^12)
= 6.674 x 10^-11 * 3.6 x 10^-13
Finally, we can multiply both sides by 6.0 x 10^24 to get the value of the force acting on the smaller object:
F = 6.0 x 10^24 * (6.674 x 10^-11 * 3.6 x 10^-13)
= 2.4 x 10^-8 N
Therefore, the size of the force acting on the smaller object is approximately 2.4 x 10^-8 N.
Two plane mirrors meet at a 113 ∘ angle, (Figure 1).Part A If light rays strike one mirror at 34∘ as shown, at what angle ϕ do they leave the second mirror?
At an angle of 33 degrees, the ray leaves the second mirror.
As per the below-attached figure:
The light beam is reflected at A, incident on the first plane at XA, and then incident on the second plane at XB, where it is again reflected as BY.
The law of reflection is the idea that when light rays strike a smooth surface, the angle of incidence and the angle of reflection are both identical. Additionally, the incident ray, the reflected ray, and the surface normal all reside in the same plane.
From the law of reflection of angle:
angle : BAO = θ = 34 degree
It is also given that,
Angle ABO = φ
Angle AOB = 113 degree
As in a triangle,
The sum of all three angles must be 180 degrees.
So, we can write it as:
∴θ+φ+113=180
φ=180-113-34= 33 degree.
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The required diagram is attached below:
a 55-kg lady stands on a bathroom scale inside an elevator. the scale reads 45 kg. what do you know about the motion of the elevator?
A 55-kg lady stands on a bathroom scale inside an elevator. the scale reads 45 kg. Lift is going downward is the motion of the elevator.
An object changing its position with regard to time is referred to as motion. Motion is mathematically characterized in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces. An object is said to be at rest, motionless, immobile, stationary, or to have a constant or time-invariant location with respect to its surroundings if it is not changing with respect to a certain frame of reference. Objects, bodies, matter particles, matter fields, radiation, radiation fields, radiation particles, curvature, and space-time are only a few examples of physical systems where motion is applicable. One may also discuss the movement of borders, shapes, and images. The word "motion" often refers to a continual change in the positions or arrangement of a physical system in space. One can discuss the motion of a wave or a quantum particle, for instance, where the configuration is the likelihood that the wave or particle would occupy a particular place.
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calculate the work done by the force f⃗ when the sled moves from x=0 to x=8.0m.
The work done by the force when the sled moves from x=0 to x=8 m is -2048 J
Force is a fundamental concept in physics that describes an interaction between two or more objects that results in a change in motion, shape, or energy of one or both of the objects.
Work done = W
Force = F
Distance = x
Area under the curve = A
Here, the distance moved is 8.0 m and the force is given by the graph as a function of x. Thus, we can use the area under the curve to calculate the work done from x = 0 to x = 8.
= W = F X x
= W = F ∫ x (from x = 0 to x = 8.)
= W = - (4/3) X x³
= W = -2048 J
Therefore, the work done by the force F is -2048 J.
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when the load of scrap metal, initially on the bank, is placed onto the barge, what vertical distance does the water in the lock rise?
Let's imagine we have a 10 tonne barge with 100 tonnes of iron because when the barge is sitting in the lock loaded with iron the buoyancy (upthrust) of the water must balance the weight of the barge.
There will be 110 tonnes of upthrust, or 110,000 kg. Since water has a density of 1 kg/l, the amount of water that the loaded barge will move is also 110,000 kilograms, or 110,000 liters. Now toss the iron into the water. It is currently resting on the mud at the lock's base. The barge will continue to move 10 tons, or 10,000 lb, of water because it is still afloat.
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you work in a lab and you have discovered a brilliant method for targeted control of chromatin structure and remodeling on a gene-by-gene basis. you are specifically interested in modifying the transcription of oncogenes, which are genes whose overexpression can lead to cancer. select which modifications you would make in cancer cells that are over expressing oncogenes. check all that apply.
A. Increase acetylation of histones
B. Decrease ocetylation of histories.
C. Decrease phosphorylation of histones
D. Increase phosphorylation of histones
E. Increase methylation of hetones
F. Decrease methylation of histiche
We would change the acetylation of histones and increase the phosphorylation of histones in cancer cells that are over-expressing oncogenes.
A gene which has the potential to cause cancer is called as an oncogene. These genes are frequently altered or highly expressed in tumor cells. Once key functions are disrupted and gone haywire, the majority of conventional cells can survive a predetermined type of quick death. The transcription apparatus is given dynamic access to a genome that would otherwise be firmly packaged thanks to chromatin remodeling, which is a key factor in the regulation of gene expression. According to broad consensus, chromatin remodeling factors control how cellular components interact with target DNA; as a result, any disruption or dysregulation of these special machinery is anticipated to alter the transcriptome status in a malignant state.
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a technician is testing a power seat that operates slower than normal. the dome light noticeably dims while operating the power seat motors. the problem is likely .
A slower-than-normal power seat is being tested by a technician. When the power seat motors are running, the dome light noticeably dims. Most likely, the seat mechanism's binding is the issue.
Instead of using manual levers, cranks, or knobs to alter the position or recline of the seat, power seats in automobiles use electric motors. They make it simpler for both the driver to select the ideal driving posture and for the passengers to settle into a comfortable position for the ride. A power seat motors doesn't have a predetermined lifespan. The switch will wear down more quickly the more frequently you change your seat. The scenario is identical to that of power door locks or windows. The switch's contacts deteriorate more quickly the more you use it. The price of an aftermarket seat motor can range from $50 to $340. According to a number of factors, including
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the direction of induced ? flow through a conductor is determined by the direction of the magnetic field surrounding the conductor and the direction the conductor is traveling through the magnetic field.
To help you recall the direction of magnetic forces, use the right-hand rule. However, we can also modify the magnetic flux by introducing a wire loop into a magnetic field.
A magnetic field is created when current runs through a conductor, right?A magnetic field is created when current travels through a conductor. Individual magnetic fields are created as free electrons flow in one direction.
What three elements govern the induced voltage of a conductor coil?There are three things that can change the voltage's size: how big the magnetic field is. There are more flux lines, hence there are more flux lines for the conductor to cut.
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Which of the following is not true of a magnetic disk?
A. It is expensive relative to magnetic tape
B. It provides only sequential access to stored data
C. Users can easily update records by writing over the old data
D. It does not provide an automatic audit trail
E. All of the above are true
A and B are both false.
what evidence supports the idea that a collision between two spiral galaxies might lead to the creation of a single elliptical galaxy?
Observables of certain elliptical galaxies with shells of stars surrounding them that are likely developed from stars ripped out of smaller galaxies is the evidence supports the idea that a collision between two spiral galaxies might lead to the creation of a single elliptical galaxy.
That most of the galaxy populations at the centers of dense clusters of galaxies are made up of elliptical galaxies, studies of a few eccentric galaxies with central stars and gas clouds that orbit differently from the galaxy's other stars. Observations of massive, elliptical galaxies that may have developed by consuming other galaxies at the heart of dense clusters. A galaxy is a collection of stars, stellar remains, interstellar gas, dust, and dark matter that are gravitationally bonded together. The name comes from the Greek word galaxias, which means "milky" and refers to the Milky Way galaxy, which houses the Solar System. Galaxies, which contain an average of 100 million stars, range in size from dwarfs, which contain fewer than 100 million stars, to supergiants, which contain 100 trillion stars, all of which orbit the galaxy's center of mass. Only a small percentage of the mass in a normal galaxy is visible in the form of stars and nebulae; the majority of the galaxy's mass is dark matter. Supermassive black holes are a typical component of galaxy centers.
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Why is there no such thing as an ideal machine? A. Machines never have friction. B. Machines are always breaking. C. No machine is 100% efficient. D. The work input always equals the work output.
There is no such thing as an ideal machine because no machine is 100 % efficient.
Hence option D is the correct option.
For a machine to be ideal, machine should follow many criteria the machine should be frictionless and the work input must always be equal to the work output.
In reality, no machine is an ideal machine as every machine involves friction. There is no machine without friction. Friction is a necessity in our life. Without friction, we can not survive. Friction helps us to walk and even stop. Friction is like oxygen, it has vital importance in our life. Hence no machine is friction-free and friction causes wear and tear in machines. Similarly, no machine is 100 % efficient. There is always some energy loss in the process, so work input is never equal to the work output.
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what would happen to the distances between bright spots (intensity maxima) on the screen if the spacing between the slits is doubled?
Bright fringes occurs to the distances between bright spots (intensity maxima) on the screen if the spacing between the slits is doubled.
Diffraction is the interference or bending of waves via an aperture into the area that is geometrically in the shadow of the obstruction or aperture. Effectively, the wave's secondary source is the diffracting element or aperture. The term "diffraction" was created by Italian scientist Francesco Maria Grimaldi, who also made the first precise observations of the phenomena in 1660. The wavefront's phase contributions are projected at an infinite number of spots (three are depicted) along length d, leading to a continually changing intensity on the registration plate. The Huygens-Fresnel principle, which views each point in a propagating wavefront as a collection of unique spherical wavelets, describes the diffraction phenomenon in classical physics. As seen in the enclosed figure, the distinctive bending pattern is most obvious when a wave from a coherent source (like a laser) comes into contact with a slit or aperture that is roughly the same size as its wavelength. This results from the addition or intensity maxima of various wavefront points (or, alternatively, each wavelet) that follow pathways to the registering surface of varying lengths.
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5.92 block b, with mass figure p5.92 5.00 kg, rests on block a, with mass 8.00 kg, which in turn is on a horizontal tabletop (fig. p5,92). there is no fric- tion between block a and the tabletop, but the coefficient of static friction between blocks a and b is 0.750. a light string attached to block a passes over b a frictionless, massless pulley, and block c is suspended from the other end of the string. what is the largest mass that block c can have so that blocks a and b still slide together when the system is released from rest?
As a result, it can be concluded that block C must have a mass of at least 39 kg in order for blocks A and B to continue sliding past one another when the system is freed from rest.
A friction is caused by what?Relative motion between two things or materials is resisted by friction, a force. Surface roughness, deformations, and molecule adhesion are the causes of this resistive force.
What three kinds of friction are there?Rolling friction, beginning friction, and sliding friction are the three types of friction that exist between the car's tires and the road, and they are all what allow us to operate cars at all.
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i need the answer for this question it’s physics
Answer: 2 m/s. v = Δx/Δt = (12 m)/(6 s)
PLEASE SHOW WORK!
A 700 kg race car makes one lap around a track. It has a velocity of 20 m/s with a centripetal force of 5,600 N. What is the radius of the track?
A speed skater goes around a turn with a 25 m radius. The skater has a velocity of 15 m/s and experiences a centripetal force of 720 N. What is the mass of the skater?
A 900-kg car moving at 5 m/s takes a turn around a circle with a radius of 30 m. Determine the net force acting upon the car.
An 800 kg race car makes one lap around a track. It has a velocity of 40 m/s with a centripetal force of 16,000 N. What is the radius of the track?
Answer:
Question 1. 50 m
Question 2. 80 kg
Question 3. 750 N
Question 4. 80 m
Explanation:
Here are some equations that we might have to use.
[tex]F_{Cnet} =m*a_c\\F_{Cnet} =\frac{m*v^2}{r}\\a_c=\frac{v^2}{r}\\a_c=\frac{F_{Cnet} }{m}\\m=\frac{F_{Cnet} }{a_c}\\m=\frac{F_{Cnet} *r}{v^2} \\r=\frac{m*v^2}{F_{Cnet} }\\r=\frac{v^2}{a_c}[/tex]
Question 1
We are given
[tex]m=700\\v=20\\F_{Cnet}=5600[/tex]
We will use [tex]r=\frac{m*v^2}{F_{Cnet} }[/tex]
[tex]r=\frac{700*20^2}{5600}[/tex]
[tex]r=50[/tex]
Question 2
We are given
[tex]r=25\\v=15\\F_{Cnet} =720[/tex]
We will use [tex]m=\frac{F_{Cnet} *r}{v^2}[/tex]
[tex]m=\frac{720*25}{15^2}[/tex]
[tex]m=80[/tex]
Question 3
We are given
[tex]m=900\\v=5\\r=30[/tex]
We will use [tex]F_{Cnet} =\frac{m*v^2}{r}[/tex]
[tex]F_{Cnet} =\frac{900*5^2}{30}[/tex]
[tex]F_{Cnet} =750[/tex]
Question 4
We are given
[tex]m=800\\v=40\\F_{Cnet}=16000[/tex]
We will use [tex]r=\frac{m*v^2}{F_{Cnet} }[/tex]
[tex]r=\frac{800*40^2}{16000}[/tex]
[tex]r=80[/tex]
Hopefully this helps! A rating/review would be much appreciated! :)
a 8.0-m long wire with a mass of 10 g is under tension. a transverse wave for which the frequency is 570 hz, the wavelength is 0.10 m, and the amplitude is 3.7 mm is propagating on the wire. the maximum transverse acceleration of a point on a wire is closest to:______.
The maximum transverse acceleration of a point on a wire is closest to 47,458.2 m/s²
What is the angular speed of the transverse wave?
The angular speed of the transverse wave is calculated as follows;
ω = 2πf
where;
f is the frequency of the waveω = 2πf
ω = 2π ( 570 )
ω = 3,581.4 rad/s
The maximum transverse acceleration of a point on a wire is calculated as follows;
a = ω²A
where;
A is the amplitude of the wave = 3.7 mm = 0.0037 ma = ω²A
a = (3581.4)²(0.0037)
a = 47,458.2 m/s²
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A circular hoop of mass m, radius r, and infinitesimal thickness rolls without slipping down a ramp inclined at an angle θ with the horizontal.
A. What is the acceleration αα of the center of the hoop?
B. What is the minimum coefficient of (static) friction μminμmin needed for the hoop to roll without slipping?
1/2tan(tetha) is the minimal coefficient of static friction required for the hoop to roll without slipping, and 1/2g sin(tetha) is the acceleration of the hoop's centre.
In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. The vector quantity of accelerations (in that they have magnitude and direction). The direction of the net force imposed on an object determines its acceleration in relation to that force. In other words, static friction is the force that maintains an object's resting position.
acceleration A = 1/2g sin where an Ihoop = m*r2 ma = mg sin (o) -Fr ma = mgsin(o) -ma (0)
The least possible static friction coefficient
Alpha = r(mug cos) (tetha)
Mu - a/g cos(tetha) = 1/2 (tan(tetha)
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to see his full height, a boy that is 1 meter tall needs a mirror that is at least a. 0.33 m tall. b. 0.50 m tall. c. 0.75 m tall. d. 1 m tall. e. depends on how far the mirror is from the boy
A boy who is 1 meter tall requires a mirror that is at least 0.50 m tall in order to see his entire height.
The mirror must be at least half as long as the individual is tall in order for them to see their entire reflection. In order to make it simpler for the person to see themselves in the mirror.
Given that the boy's height (h) = 1 m,
the mirror's height should be h/2 = 1/2 = 0.50 m.
Behind the glass of a mirror, people can see an image of themselves. This image is created when light rays hit the shining surface and reflect or bounce back, creating a "mirror image." Glass can be made into a mirror that reflects light by having a bright metal coating on one side. Mirrors can reflect 95% of the light that hits them, whereas window glass can only reflect 8% of the light that hits it.
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a car is moving at a constant tangential speed of 50.0 m/s and takes one lap around a circular track in a time of 74.4 s. what is the magnitude of the acceleration of the car?
Answer: 0.0541
Explanation:
If the car took a time of 74.4 seconds to complete one lap around a circular track, the circumference of the track is 50.0 m/s * 74.4 s = <<50.0*74.4=3720>>3720 m.
The radius of the circular track is half the circumference, so it is 3720/2 = <<3720/2=1860>>1860 m.
The acceleration of a body moving in a circle with constant speed is given by the formula a = v^2/r, where a is the acceleration, v is the speed, and r is the radius of the circle.
Therefore, the magnitude of the acceleration of the car is 50.0^2/1860 = <<50.0^2/1860=0.0541>>0.0541 m/s^2
what would you have to do and/or what equipment would you need to have, in order to live in jupiter safely?
Jupiter is a gas giant with no solid surface so it needs airships floating houses or spacecraft to live on.
Jupiter is the fifth planet from the Sun and the largest planet in the solar system. It is a gas giant with a mass more than two and a half times that of all the other planets in the Solar System combined, but slightly less than one-thousandth the mass of the Sun.
Jupiter's magnetic field traps charged particles from the Sun and Mars's volcanic moon Io. These particles create intense radiation belts. The radiation belt around Io's orbit is powerful enough to kill an unprotected human within minutes. It's easy to see with your eyes if you know when and where to look.
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a proton follows the path shown in (figure 1). its initial speed is v0 = 2.8×106 m/s.
The proton's speed as it passes through point P is 1.66×10⁶ m/s.
The proton's speed at point P can be determined by the equation:
KE = PE + ( mv²/2 )
where,
KE= kinetic energy
PE = potential energy
m = mass of the proton
v = speed of the proton.
Given
Proton's initial speed is v₀ = 2.8×10⁶ m/s
By putting the values in the question the solution is as follows so as the Proton's speed at point P can be calculated as:
v = √(2KE/m)
= √(2 ×2.8 × 10⁶ m/s² / 1.67 × 10⁻²⁷ kg)
= 1.66 × 10⁶ m/s
Therefore, the proton's speed as it passes through point P is 1.66×10⁶ m/s.
Your question is incomplete most probably your full question was
A proton follows the path shown in (Figure 1) . Its initial speed is v0 = 2.8×106 m/s.What is the proton's speed as it passes through point P?Express your answer to two significant figures and include the appropriate units.
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a sample of an unknown material appears to weigh 300n in air and 200n when immersed in alcohol of density 700 kg/m?. what are a) the volume of the piece of material b) the density of the material
The calculated value is 453 g. density is the mass of a material substance per unit volume. d = M/V, where d is density, M is mass, and V is volume, is the formula for density.
Grams per cubic centimeter are a typical unit of measurement for density.
8.5 g/mL Brass volume, total mass is brass plus wood:
M = 8.5b+100 (grams) (grams).
Volume of wood: 100/0.2 = 500 mL
Brass and wood volumes add up to the total:
V = b+500
Total density equal to water for simple floatation is 1
Total mass equals 1 * V + 500.
Calculate M using [1] above:
b+500 = 8.5b+100
400 = 7.5b
53.33 mL is the brass volume.
Brass should never be measured by volume. 8.5*53.33 = 453 g is the best; make careful to fasten it to the underside of the wood.
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what fraction of a piece of silicon will be submerged when it floats in mercury?
The fraction of a piece of silicon will be submerged when it floats in mercury is 17%
Density silicon = 2.33 g/cm³,
Density mercury 13.6 g/cm³.
2.33=/13.6 = 0.17 = 17% silicon submerged and 83% above surface of mercury.
With the symbol Si, silicon is an atomic number 14 chemical element. It is a hard, brittle crystalline solid with a blue-grey metallic sheen that is a tetravalent metalloid and semiconductor. Because silicon is abundant in the Earth's crust, natural goods with silicon as their main component have been used for thousands of years.
The most abundant substance found in the crust of the Earth is silicon dioxide (SiO₂).
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a planet's moon travels in an approximately circular orbit of radius 5.4 107 m with a period of 6 h 7 min. calculate the mass of the planet from this information.
The mass of the planet from this information. 3.56×10²⁶ Kg. A planet's gravitational pull on other bodies determines its weight (or mass).
Every piece of matter in the cosmos is drawn to one another by a gravitational force that is proportionate to its mass, according to Newton's Law of Gravitation. A balance is what you would use to measure mass. A triple beam balance or an electronic balance may be used in the lab to measure mass, but the traditional balance shown below could help you understand what mass is. This is significant because a planet's atmosphere has a direct impact on its climate. The mass of the planet in issue will consequently affect where the "habitable zone" surrounding a star is located.
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if x2 is a binary predictor in y = β0 + β1x1 + β2x2, then which statement is most nearly correct?
The correct statement is 'x₂ will shift the estimated value of y either by 0 units or by β₂ units.'
Given that,
y = β₀ + β₁ x₁ + β₂ x₂
where,
x₂ is the binary predictor
A binary predictor is a categorical random variable in the regression analysis which can take only two values. These variables typically fall into one of two groups, 0 or 1, depending on the variable.
If such binary variables are employed in the study, the regression line's intercept can take two values from two different categories.
Consider, x₂ = 0,1, we get two equations with same slope but different intercepts.
y₀ = β₀ + β₁ x₁ + β₂ (0) = β₀ + β₁ x₁
y₁ = β₀ + β₁ x₁ + β₂ (1) = (β₀ + β₂) + β₁ x₁
The two equations reflect the shift in the regression line by β₂ units relative to basic equation.
The question is incomplete as it does not contain options. They are ' A. x₂ would be a significant predictor if β₂ = 423.72.
B. x₂ will shift the estimated value of Y either by 0 units or by β₂ units.
C. x₂ = 0, x₂ = 1, x₂ = 2 would be appropriate if three categories exist .
D. x₂ = 1 should represent the most desirable condition.'
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extractor and ejector marks can be found where? group of answer choices inside the barrel of a gun on spent cases fired from certain firearms on a bullet after impacting its target on the firing pin of a gun
A cartridge is removed from the chamber by the extractor mechanism, and is then ejected by the ejector.
Because automatic and semi-automatic weapons (pistols and rifles) have ejectors whereas revolvers do not, the cartridge casings used in those weapons are different from those used in revolvers.A cartridge is removed from the chamber by the extractor mechanism, and is then ejected by the ejector.The mechanism that expels the spent cartridge case from the breech is known as the ejector. Without firing or dismantling a break open shotgun, ejectors can be challenging to spot. The perplexing part about them is that the ejector can be distinguished as one or two in firearms other than double guns.To know more about cartridge
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What is the acceleration of a motorcycle moving north when the speed goes from 0-80 mi/hr in 8 seconds?
Answer:
0.003 mi/s²
Explanation:
a = (Vf - Vi) / t
Vi = 0 (started from rest)
First you have to convert MPH into miles/sec (the problem did not state that you have to convert to meters/sec)
(80 miles/hr)/(3600 sec/hr) = 0.022 mi/sec
a = (0.022 mi/sec - 0)/8 sec = 0.003 mi/s²
what fraction of the energy density of the universe is dark matter? group of answer choices 71% 5% 1% 24% 99%
Fraction of the energy density of the universe is dark matter is 24% .
It turns out that roughly 68% of the universe is dark energy. Dark matter makes up about 27%.
A mystery, unseen element termed dark matter (25%) and a force that defies gravity called dark energy seem to make up the rest of the cosmos (70 percent). Since the mean energy density of the universe is equal to the critical density (within a 0.5% margin of error), WMAP's discovery that the universe is flat implies. This is comparable to a mass density of just 5.9 protons per cubic meter, or 9.9 x 10-30 g/cm3.
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a wave has a frequency of 57Hz, what is the period
The period of a wave that has a frequency of 57Hz is 0.018s.
How to calculate period?A wave in physics is a moving disturbance in the energy level of a field.
Period refers to length of time and is denoted by T. The period of a wave can be calculated by finding the inverse of the frequency as follows;
T = 1/f
Frequency is the quotient of the number of times n a periodic phenomenon occurs over the time t in which it occurs.
T = 1/57
T = 0.018s
Therefore, 0.018s is the period of the wave.
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at what distance (from center to center) must the 4 x 10-6 c charged sphere be placed to keep the 2.30 gram block in equilibrium? the angle of the frictionless incline is 28 degrees.
The distance at which the charged sphere must be placed is 35.38 *10⁻⁹ m.
Fe is the electrostatic force experienced.
The weight mg of the particle can be resolved into two components as
mg sinθ along the inclined plane and mg cosθ perpendicular to the plane.
Applying Newton's second law along incline direction,
∑ F = m* a
Fe - mg sin 28° = 0
Fe = mg sin 28°
1/(4π∈₀) q₁* q₂/x² = mg/2
9* 10⁻⁹ * (4* 10⁻⁶ * 4*10⁻⁶)/x² = (2.3 * 10⁻³* 10)/2
x² * 2.3 * 10⁻² = 18* 16* 10⁻²¹
x² = (18* 16* 10⁻¹⁹)/2.3
x² = [18* 16/ 0.23]* 10⁻¹⁸
x = 35.38 *10⁻⁹ m
Thus, the distance from centre to centre is 35.38 *10⁻⁹ m.
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