Ball A od mass 5.0 kilograms moving at 20. meters per second colides with ball B of imknnown mass moving at 10 meters per scond in the same direction. After the collision, ball A movies at 10. meters per second and ball B at 15 meters per second, both still in the same direction. What is the mass of ball B

Answers

Answer 1

Answer:

10 kg

Explanation:

Use law of conservation of momentum

momentum of system before collision = momentum of system after collision

    5 kg * 20 m/s +  x kg  * 10 m/s         = 5 kg * 10 m/s   +  x kg * 15 m/s

           100  + 10x                                   = 50 + 15 x

                 50                                =    5x

                   x = 10 kg


Related Questions

A car moving with an initial speed v collides with a stationary car that is one- half as massive. After the collision, the first car moves moves in the same direction as before with the speed v/3. a) Find the final speed of the second car b) What type of collision is it (elastic or inelastic)

Answers

The final speed of the second car is '2v' and the collision is elastic collision.

What exactly are elastic collisions?

The elastic collision is one in which the system does not experience a net loss of kinetic energy as the result of a collision. In elastic collisions, momentum & kinetic energy are both conserved.

v′ = m1v1 + m2v2 /m1+m2

v ′ = m 1 v 1 + m 2 v 2/ m 1 + m 2

in which m1 is mass of body 1, v1 is its initial speed, m2 is mass of body 2, & v2 is the final speed at which the two objects will be moving after colliding.

m1v +0 = mv/3 +m/3v2

v2 = 2v

To know more about elastic collision visit:-

https://brainly.com/question/12644900

#SPJ4

The process of seafloor spreading

Answers

Answer:

Seafloor spreading is a geologic process in which tectonic plates—large slabs of Earth's lithosphere—split apart from each other. ... As tectonic plates slowly move away from each other, heat from the mantle's convection currents makes the crust more plastic and less dense

Explanation:

hope it helps stay safe

Answer:

Magma comes out of the rift valley.

Magma cools to rock and hardens.

Rock is pushed away as new rock is formed at MOR.

Oceanic crust and continental crust meet at the trench.

Oceanic crust bends down under the continental crust.

Gravity pulls rock towards mantle.

Rock melts to mantle.

Explanation:

Hope it helps!

Please mark as Brainiest!!

A centripetal force of 250 N is exerted on a 2.2 kg discus as it rotates uniformly in a horizontal circle of radius 0.85 m. Calculate the speed of the discus in both m/s and rotations per minute?

Answers

Answer:

133m/s

Explanation:

b/c 250÷2.2÷0.85=133

A musical note has a frequency of 512 Hz. If the wavelength of the note is 0.685 m, what is the speed of the sound of that note?

Answers

Answer:

350.72 m/s

Explanation:

Formula for velocity of wave is;

v = fλ

Where;

v is speed

f is frequency

λ is wavelength

We are given;

f = 512 Hz

λ = 0.685 m

Thus;

v = 512 × 0.685

v = 350.72 m/s

To report the position of an object, first choose a reference point. Then, describe the of the object with respect to the reference point. Next, measure the from the reference point to the object.

Answers

We will understand the given concept through an example

The rat serves as your point of reference if you mentioned that the rabbit was to the left of it. You are expressing its position when you specify the distance and direction. The present separation and direction of an object from a reference point is its position.

When something moves with relation to a reference frame, like when a passenger gets off an airline or a lecturer gets up to leave, the object's position changes.the right in relation to a whiteboard. Displacement describes this shift in location.Every location helps you to achieve various location positions.Your position is defined by how you describe your place. The separation in the first illustration is one meter. The reference point helps to locate each and every point.

To know more about reference point here

https://brainly.com/question/17706833

#SPJ4

A 5 kg block is on a frictionless surface. A 15 n force is applied To the the block in a direction parallel to the surface. What is the acceleration of the block?

Answers

The acceleration is 3 [tex]m/s^2[/tex] when a block with a mass of 5 kg is pulled with a force of 15 n.

The block will experience a net external force of 15 N due to the frictionless surface it is kept in place on.

The block weighs 5 kg.

F = m × a

There is a net external force (F), mass (m), and acceleration acting on the object in this situation (a).

Using the appropriate values in place of F and m:

15 = 5 × a

15/5 = a

3=a

Taking 5 as a factor, we get 3 = a.

As a result, a 5-kilogram item is drawn over a friction less surface with an acceleration of 15 N is 3 m/s².

For such more question on acceleration.

https://brainly.com/question/14344386

#SPJ4

A 2.0 kg book is lying on a 0.75-m-high table. You pick it up and place it on a bookshelf 2.3 m above the floor. During this process, your hand does _______ work on the book.

Answers

The weight of the book and your lifting power will be the only two forces operating, assuming that air resistance is minimal (gravity).

The book's displacement was x=(2.3-0.75)m=+1.55m.

The book weighs W= m(-g)= 2.0 kg(-10N/kg)= 20 N.

Therefore, the weight's work (energy delivered by the weight) is equal to W.x (-20N).

(+1.55m) = -31 Nm =-31 J.

This outcome, -31J, demonstrates that the weight caused the rising book to lose 31J of kinetic energy, increasing the gravitational potential energy of the book.

You lifted the book, which gave it kinetic energy from the chemical energy stored in your muscles. The weight is thereby decreasing the kinetic energy of the book while the lifting force from you increases it.

Learn more about energy here-

https://brainly.com/question/26472013

#SPJ4

Which of the following is NOT considered crucial for life to exist on some world?
A. Liquid water
B. At atmosphere
C. Source of nutrients
D. Source of energy that can be used by life

Answers

Answer

Atmosphere is not required in some world

I walked 45 m East then turned to the north and walked 30 m. What was the magnitude of my displacement?

Answers

The magnitude  displacement vector's magnitude (or length), which is indicated by the arrow's length, measures the separation between the locations.

How can I determine how much movement there is?

d = (((x2 - x1)2 + (scaling factor - y1)2)12 represents the displacement's magnitude. The displacement vector's size, or distance d, is its length. The guided line segment connecting P1 and P2 is the displacement vector's (d) direction. We refer to this straight line segment as a geometric or look of the scalar d.

What is a displacement example of what magnitude?

When we talk about magnitude, we don't only imply the amount of a displacement; we also imply its orientation  just a number with a unit  As just an illustration, the professor might repeatedly pace back and forth, possibly

To know more about  magnitude visit :

https://brainly.com/question/29766788

#SPJ4

If you pushed against the 3000 kg truck with a force of 1000 N for 5 s, how fast would the truck be moving?

Answers

Answer:

V = 1.67 m/s

Explanation:

Given the following data;

Force = 1000 N

Mass = 3000 kg

Time = 5 seconds

To find the speed of the truck;

First of all, we would find the acceleration

Force = mass * acceleration

1000 = 3000 * acceleration

Acceleration = 1000/3000

Acceleration = 0.333 m/s²

Using the first equation of motion, we would determine the speed;

V = u + at

Initial velocity is equal to zero because the truck starts from rest.

V = 0 + 0.333*5

V = 1.67 m/s

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST THIS IS A SCIENCE QUESTION
Fusion reactions in the sun change nuclear energy into
mechanical energy
chemical energy
electromagnetic energy
potential energy

Answers

Answer:

Electromagnetic energy

If an object was traveling horizontally off a cliff at 6 m/s for 3 seconds, how long did it take to
hit the ground?

Answers

The time taken by the object to hit the ground is 1.8 seconds.

What do you mean by gravitational force?

The attraction that draws two objects together is known as gravitational force, sometimes referred to as gravity. Every mass-containing object pulls on nearby things gravitationally in a sizable way.

The time it takes for an object to hit the ground after being dropped off a cliff can be calculated using the formula:

t = √(2*d/g)

where t is the time, d is the distance fallen, and g is the acceleration due to gravity.

In this case, we don't know the distance fell, but we can use the horizontal velocity and time of travel to find it:

d = v * t

where v is the velocity (6 m/s), and t is time (3 seconds)

d = 6 * 3 = 18 m

Now we can use the distance fallen to calculate the time it takes to hit the ground:

t = √(2*d/g)

g is approximately 9.8 m/s^2

t = √(2*18/9.8) = √ (3.6) = 1.8 seconds

So, it takes 1.8 seconds for the object to hit the ground after traveling horizontally off a cliff at 6 m/s for 3 seconds.

To know more about gravitational force, visit:

brainly.com/question/12528243

#SPJ1

Una luz (con una longitud de onda de 600 nm y velocidad de la luz de c = 3 × 108 m⁄s), que proviene del aire incide en glicerina con un ángulo de 30°. Después de pasar por la glicerina, entra en diamante, después pasa por cuarzo y por último sale de nuevo al aire. Calcule el ángulo de refracción al pasar el rayo en cada medio, también calcule la velocidad de la luz en cada medio y la longitud de onda en cada medio

Answers

Answer:

a) angles 19.8º, 11.9º, 13.8, 20.4

b) speed 3 10⁸ m/s, 2,037 10⁸ m/s, v = 1.24 10⁸ m/s,  v = 2.06 10⁸ m/s

c)  wavelength  600 nm, 407.3 nm, 248.0 nm, 411.5 nm

Explanation:

For this exercise let's use the law of refraction

         n₁ sin θ₁ = n₂ sin θ₂

where subscript 1 is for the middle of the incident ray and subscript 2 for the middle of the refracted ray

the refractive index is related to the speed of the lightning in the middle

          n = c / v

When the ray enters a material medium, it is absorbed and re-emitted by the atoms in the medium, the frequency remains constant, it is a resonant system, but as the speed of light changes in the medium, the wavelength must change to keep the equation

in the void

                 c = λ f

in the material medium

                   v = λ f

                  [tex]\frac{c}{\lambda_o} = \frac{c}{\lambda_n}[/tex]

                  λₙ = [tex]\frac{v}{c} \ \lambda_o[/tex]

                  λₙ = λ₀ / n

we used  these expressions to our case

1) medium incident air n₁ = 1 medium transmitted n₂ = 1.473

            sin θ₂= [tex]\frac{n_1}{n_2}[/tex] sin θ₁

            sin θ₂ = 1/1,473   sin 30

            θ₂ = sin⁻¹ 0.3394

            θ₂ = 19.8º

2) medium incident glycerin θ₁ = 19.8, medium transmitted diamond θ₂=2.419

            sin θ₂ = 1.473/2.419     sin  19.8

            θ₂ = sin⁻¹ 0.2067

            θ₂ = 11.9º

3) half incident diamond θ₁ = 11.9º, half transmitted quartz n₂ = 1.458

             sin θ₂= 2.419/1.458    sin 11.9

             θ₂ = sin⁻¹ 0.3429

             θ₂ = 13.8º

4) half incident quartz θ₁ = 13.8, medium transmitted air n₂ = 1

             sin θ₂ = 1.458/1    sin 13.8

             θ₂ = sin⁻¹ 0.3467

             θ₂ = 20,4º

b) we look for the speed of lightning in each medium

air             v = c = 3 10⁸ m / s

glycerin    v = c / n

                v = 3 108 / 1,473

                v = 2,037 10⁸ m / s

diamond  v = 3 108 / 2.419

                 v = 1.24 10⁸ m / s

quartz      v = 3 108 / 1.458

                v = 2.06 10⁸ m / s

c) the wavelength in each medium

air         λₙ = λ₀/ n

            λₙ = 600/1

            λₙ 600 nm

glycerin    

            λₙ = 600 / 1,473

            λₙ = 407.3 nm

Diamond

            λₙ = 600 / 2.419

            λₙ = 248.0 nm

quartz

            λₙ = 600 / 1.458

            λₙ = 411.5 nm

What is the combined resistance of 5 ohms wire arranged in series with a parallel arrangement of 4 ohms and 6 ohms wires

Answers

Answer:

7.4 Ω

Explanation:

Let,

R1 = 5 Ω

R2 = 4 Ω

R3 = 6 Ω

R1 is connected series.

R2 and R3 are connected in parallel.

1 / Rp = 1 / R2 + 1 / R3

= 1 / 4 + 1 / 6

= 3 / 12 + 2 / 12

1 / Rp = 5 / 12

Rp = 12 / 5 = 2.4 Ω

Effective resistance

= R1 + Rp

= 5 + 2.4

= 7.4 Ω

Therefore, the combined resistance of 5 ohms wire arranged in series with a parallel arrangement of 4 ohms and 6 ohms wires is

7.4 Ω.

light travels 300000 km/s,is it velocity or speed

Answers

Answer:

speed

Explanation:

Answer:

Velocity

Explanation:

Velocity is km/s

A typical sound wave has a wavelength of 1 meter. The wavelength of green light is about 500 billionths of a meter. Which type of wave will tend to diffract more through a narrow gap that is about 1 centimeter wide? Explain.

Answers

Answer: Sound wave diffracts more.

Explanation: Width of gap d  is smaller than wavelength λ of the gap.

You can estimate it from  equation  d sin α = n λ

The constant n is order of diffraction, n = 0,1,2,..

sin α = n λ / d   is greater when  λ/d is greater.

Sound wave will tend diffract more through a narrow gap that is about 1 centimeter wide.

What is Diffraction?

Diffraction is the spreading of waves around obstacles. Diffraction takes place with sound; with electromagnetic radiation, such as light, X-rays, and gamma rays; and with very small moving particles such as atoms, neutrons, and electrons, which show wave like properties.

d sin α = n λ

Width of gap d  is smaller than wavelength λ of the gap.

The constant n is order of diffraction, n = 0,1,2,..

sin α = n λ / d

Diffraction is greater when  λ/d is greater.

To learn more Diffraction about here

https://brainly.com/question/12290582

#SPJ2

A wagon wheel is a ring (hoop) of mass 77.1 kg and radius of 0.630 m. If it has 182 J of rotational KE, what is its angular velocity?

Answers

Answer:

3.44

Explanation:

Acellus said it was right. :) Just figure out the inertia first and plug it into the Rotational KE equation.

What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion

Answers

The magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion is the centripetal acceleration.

This is given by the equation a = v^2 / r, where v is the velocity of the passenger and r is the radius of the circle. Therefore, the magnitude of the passenger's acceleration is equal to the square of her velocity divided by the radius of the circle.

For example, if the passenger is travelling at 10 m/s in a circle with a radius of 5 m, then her centripetal acceleration would be 10^2 / 5 = 20 m/s^2.

Learn more about acceleration:

https://brainly.com/question/460763

#SPJ4


A cannonball is launched horizontally from the top of a 166 m
cliff with an original speed of 35.9 m/s.

Determine the horizontal displacement (in m) of the cannonball.

Answers

The horizontal displacement of the cannonball  is  65.75 meter.

What is speed?

Speed is characterized as the rate at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

original speed: u= 35.9 m/s.

acceleration due to gravity: g = 9.8 m/s².

Initial height of the cannonball = 166 m.

Hence,  the horizontal displacement of the cannonball = u²/2g

= 35.9²/(2×9.8) meter

= 65.75 meter.

so, the displacement of the cannonball  is  65.75 meter.

Learn more about speed here:

https://brainly.com/question/28224010

#SPJ1

¿Por qué un niño en un carrito parece caer hacía atrás cuando el carrito se le da un súbito empujón hacía delante?

Answers

Answer: El tronco ejerce un igual y la fuerza opuesta hacia delante de ti, por la tercera ley de Newton .

Explanation:

What is the reason why a yellow colored object looks white in a dimmed light or low intensity of light?

Answers

The reason why a yellow colored object looks white in a dimmed light or low intensity of light the colors wavelength have the colors more farther it means it's getting more dimmed.

The wavelengths of sound waves are similar to the size of objects around you, but the wavelength of light waves are much shorter. As a result, you can hear people talking in a room with an open door even though you can’t see them.

The amount of diffraction or bending of the wave depends on the size of the obstacle the wave encounters. If the size of the obstacle is much larger than the wavelength, very little diffraction occurs. Then there is a shadow behind the object where there are no waves.

As the wavelength increases compared with the size of the obstacle, the amount of diffraction increases. The amount of diffraction is greatest if the wavelength is much larger than the obstacle.

To know more about wavelengths here

https://brainly.com/question/2429109

#SPJ4

A ramp is 12 meters long and I need to use it to raise up a box 4 meters. The box weighs 200 newtons. How much force are you going to need to exert to get the box up the ramp

Answers

The force required to raise the box up the ramp when the ramp is 12 meters long, the box is 4 meters and the box weighs 200 newtons is 653.33 N (7840/12)

How do you determine the force required to raise the box up the ramp?

To determine the force required to raise the box up the ramp, we can use the work-energy principle.

Work = Change in PE

W = PEf - PEi

where

W = work done (Joules)

PEf = final gravitational potential energy (Joules)

PEi = initial gravitational potential energy (Joules)

The gravitational potential energy of an object is given by the formula:

PE = mgh

where

m = mass of the object (200 N)

g = acceleration due to gravity (9.8 m/s^2)

h = height (4 meters)

We can find the change in potential energy as follows:

PEf = mgh = 200 x 9.8 x 4 = 7840 J

PEi = mgh = 200 x 9.8 x 0 = 0 J

So, the change in potential energy is 7840 J.

Now we can calculate the work done as:

W = PEf - PEi = 7840 - 0 = 7840 J

The work done is equal to the force exerted on the object multiplied by the distance it is moved:

W = F x d

7840 = F x 12

So, the force required to raise the box up the ramp is 653.33 N (7840/12)

Learn more about force from the given link.

https://brainly.in/question/23858054

#SPJ4

A person finds it easier to lift an anchor through the water than lift it into the boat through the air. Why?

Answers

Answer:

because underwater a force called buoyant force of upthrust applies in the objects in water in the upward direction

The centripetal force on object M as it passes

through the rest position is approximately

Answers

Since the particle always moves in a circular motion in a direction perpendicular to the radial direction.

The work done by the centripetal force in a circular motion is therefore always zero since the dot product is always zero. A force known as the centripetal force acts on a particle when it is revolving around a specific axis or point. The circular path's center is where this force is directed. The ideal decision is (d) Therefore, the body's weight will be equal to the centripetal force when the angular acceleration reaches the same level as the acceleration caused by gravity. It should be noted that for the centripetal force to equal the weight, there must be a uniform circular motion.

Learn more about acceleration here-

https://brainly.com/question/12550364

#SPJ4

What is the wavelength of longitudinal wave

Answers

The wavelength of a longitudinal wave is defined as the distance between two successful compressions or rarefactions. As given, the distance between the 5th and the 6th rarefaction is 25cm, therefore the wavelength of the wave will be 25cm

What is the position of the particle at time t 0?

Answers

The position of the particle is zero because the velocity is zero for the particle. The velocity of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Velocity is the rate of change of velocity. At any point on a trajectory, the magnitude of the velocity is given by the rate of change of velocity in both magnitude and direction. Velocity of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of we can calculate. Hence by the primary information that we have we can formerly consider that the velocity which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point and the position of the particle is zero because the velocity is zero for the particle.

Learn more about Velocity:

brainly.com/question/18084516

#SPJ4

Viruses are hard to get rid of
because they spread easily. Which
of the following describes why they
spread easily?
A contain no genetic
material
B. are living organisms
C. cannot reproduce
D. reproduce quickly

Answers

The answer is D, they reproduce quickly.

Answer: D. Reproduce quickly

Explanation:

A doesn’t really have much to do with it. B. isn’t true because viruses are not living. C. is also not true because they can, so D.

A car at rest with respect to a building can be in motion with respect to another observer. True/False. Please explain your answer

Answers

The given statement is true because an object at rest with respect to one object can be in motion with respect to another motion

The person in the figure below is pulling a heavy load. However, the load is resisting the forward motion. The figure can act as a model for what happens in electrical conductors, cells and batteries, and electrical devices in a circuit.

1. Write a paragraph that explains what you think each circuit component would represent in the model, and why.


2. How does the figure model resistance in a circuit?

Answers

The components of an electrical circuit represented by the model are as follows:

the man pulling the load represents the battery or cellthe cord used by the man to pull the load represents the conductors such as wiresthe load pulled by the man represents the resistance.

The figure models resistance in a circuit because just as resistance in a circuit opposes the flow of current, the load resists the movement of the man.

What is an electrical circuit?

An electrical circuit is a complete path that is provided for the flow of electric current.

Tue components of an electric circuit includes:

electrical conductors,cells and batteries,resistancesloads such as electrical bulbs in the circuit.

Learn more about electrical circuits at: https://brainly.com/question/2969220

#SPJ1

The upper and lower fixed points of a mercury thermometer corresponds to 9.00mV and 16.50mV on the thermocouple thermometer. The temperature of a warm iron giving a reading of 11.21mV to the nearest whole number is.​

Answers

To find the temperature of the warm iron, we first need to convert the reading on the thermocouple thermometer to a temperature value. To do this, we will use the formula:

Temperature = (Reading - Lower Fixed Point) / (Upper Fixed Point - Lower Fixed Point) * (Upper Temperature - Lower Temperature) + Lower Temperature

In this case, the lower fixed point is 9.00mV and the upper fixed point is 16.50mV. We also know that the lower temperature is 0°C (the freezing point of water) and the upper temperature is 100°C (the boiling point of water). So, we can plug in these values:

Temperature = (11.21mV - 9.00mV) / (16.50mV - 9.00mV) * (100°C - 0°C) + 0°C

Simplifying, we get:

Temperature = (2.21mV / 7.50mV) * 100°C

And further simplifying, we get:

Temperature = 0.2907 x 100°C

So, the temperature of the warm iron is approximately 29.07°C to the nearest whole number.

To learn more about temperature :-

https://brainly.com/question/14161300

Other Questions
Hey guys can you help me with this math problem I'm stuck When merida divides her age by 3 and adds 5, the result is 9 which equation represents this situation where m is meridas age?a/ 9= (m ~ 3) x 5b/ m= (9 - 3 ) + 5 c/ m = (9~3) +5 d/ 9= (m~ 3) +5 In the molecules below, areas that have a partial negative charge are pink and areas that have a partial positive charge are blue.The attractive force between these two molecules has most likely been produced bycovalent bonds.dipole-dipole interactions.dipole-induced dipole interactions.London dispersion forces. The unicellular green alga Chlorella is often used as a model organism to study the effects of various substances on the growth of photosynthetic organisms. Researchers studying the detoxification of certain metals by Chlorella first collected data on the growth dynamics of the alga. A small number of Chlorella were added to 1,500 mL of culture medium that contained all of the inorganic nutrients needed for growth. Every five days for 30 days, the researchers performed multiple counts to determine the concentration of Chlorella in the culture. a. Describe why the amount of light available to the Chlorella culture might affect the growth dynamics of the alga. How did president George w. Bush rely on foreign policies to justify controversial intrusions on American civil liberties What are the 7 types of advertising? Is white rice a heterogeneous? What 2 types of point mutations will cause a frameshift mutation? Ball A with a mass of 0.280kg makes an elastic head-on collision with ball B initially at rest. After collision, ball B moves off with half the original speed of ball A. Is the momentum conserved in the collision? Why? The dollar value v (t) of a certain car model that is t years old is given by the following exponential function. v (t) = 26,000 (0.84) Find the value of the car after 7 years and after 12 years. Round your answers to the nearest dollar as necessary. Value after 7 years: Value after 12 years: $0 Compare La Llorona with e Black Lady of Bradley Woods 1, How are the characters similar? 2. How are the characters different? 3. How are the stories different? 4. How are the ending similar? Which of the following statements is FALSE?a. Humble Oil, which later became Exxon Mobil is one of the largest oil companies today.b. Lynn T. Barret drilled the first successful oil well in Texas.C. The discovery of oil and the refining process led to the growth and success of the automotiveindustryd. Early on the aviation industry thrived at the same pace as the automotive industry as peopletook advantage of air travel.Please select the best answer from the choices provided In the poem, William Wordsworth uses capitalization to... Oklahoma belongs to which region of the United States? Two cards are drawn at random from a well shuffled pack of cards. What is the probability that i)both are spades or both are diamonds? ii)both are queens or both are red coloured?iii)both are diamonds or neither is a king? The figure was created by repeatedly reflecting triangle NMP.A figure is created by continuously reflecting triangle N M P. The length of side N M is 6 inches, the length of side M P is 4 inches, and the length of side N P is 8 inches.The scale factor of the dilation of segment HG is One-sixth.Point P is the center of dilation. Line segment H G is dilated to form shorter line segment H prime G prime. The length of P G prime is 0.5 If PG' equals 0.5 units, what is PG?2.5 units3 units4.5 units6 units Q16 1984: How does the structure of this passage contribute to the overall plot?Select one:a. It magnifies a small sample of the setting to show how society works on a larger scale.b. It shows the protagonists private thoughts, which are very rarely shown in Part I.c. It is structured like a piece of poetry to demonstrate the authors lyrical writing style.d. It is set up in the form of dialogue to show how Winston interacts with others. PLZ HELP I NEED THIS DONE TO PASS When a number x is multiplied by 5, the result is 8 less than the result of multiplying a number y by 3. Which of the following equations correctly expresses the relationship between x and y?A. 5x = 24yB. 5x - 8 = 3yC. 5x + 8 = 3yD. 5x + 3y = 8E. 5x = 3(y - 8) Help! Will give brainiest to best answer! A _____________contains at least two independent clauses. These two independent clauses can be combined with a comma and a coordinating conjunction or with a semicolon.{} Simple Sentence {} Compound Sentence{} Complex SentenceA _____________ contains at least one independent clause and at least one dependent clause. {} Simple Sentence{} Compound Sentence{} Complex SentenceIdentify the type of sentence:My mother cooked dinner while I was doing my homework.{} Simple{} Compound{} ComplexIdentify the type of sentence:Because she runs every day, she is very fit{} Simple{} Compound{} Complex