a beam of unpolarized light in air is incident on material x, which has an index of refraction of 1.74. at what angle of incidence will the reflected ray be completely polarized

Answers

Answer 1

The angle of incidence at which the reflected ray will be completely polarized is 60.05° (rounded to two decimal places).

The angle of incidence at which the reflected ray will be completely polarized depends on the polarization angle of the incident beam and the refractive index of the material x. When a beam of unpolarized light is incident on a surface, it gets partially reflected and partially transmitted. The reflected light will be partially polarized, but the extent of polarization depends on the angle of incidence.

When the angle of incidence is such that the reflected light is completely polarized, it is known as Brewster's angle. At this angle, the reflected light is completely polarized in the plane of incidence, which means that the electric field vector of the reflected light is perpendicular to the plane of incidence. The Brewster's angle can be calculated using the formula:

tan θ = n

where θ is the Brewster's angle, and n is the refractive index of the material x.

In this case, the refractive index of material x is 1.74. Therefore, the Brewster's angle can be calculated as:

tan θ = 1.74

θ = tan^-1(1.74)

θ = 60.05 degrees

Therefore, the angle of incidence at which the reflected ray will be completely polarized is 60.05° (rounded to two decimal places).

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Related Questions

High-mass stars have __________ lifetimes than low-mass stars.
a. slightly longer
b. much shorter
c. slightly shorter
d. much longer

Answers

High-mass stars have much shorter lifetimes than low-mass stars.

This is due to the fact that the internal structure and energy generating mechanisms of high-mass stars differ fundamentally from those of low-mass stars. Since high-mass stars have significantly greater gravitational pressure, they consume their nuclear fuel far quicker than low-mass stars. As a result, the lives of high-mass stars are substantially shorter.

A star 20 times the mass of our Sun, for example, may barely exist for a few million years, but a star 0.2 times the mass of our Sun may live for tens or even hundreds of billions of years.

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A light ray is traveling from glass, n=1.46, to an unknown material. The incident angle is 33 degrees and the refracted angle is 25 degrees. Calculate the index of refraction for the unknown material.
Your Answer:

Answers

The index of refraction for the unknown material is approximately 1.935. This means that light travels about 1.935 times slower in the unknown material compared to its speed in a vacuum.

We can use Snell's law to find the index of refraction for the unknown material. Snell's law states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction of the two materials.

sin(incidence angle)/sin(refraction angle) = n_unknown/n_glass

Plugging in the given values, we get:

sin(33)/sin(25) = n_unknown/1.46

Solving for n_unknown, we get:

n_unknown = sin(33)/sin(25) * 1.46 ≈ 1.935

We can use this index of refraction to determine other properties of the material, such as its composition and density, through further analysis.

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the final velocity, v, of an object under constant acceleration can be found using the formula , where v is the initial velocity (in meters per second), a is acceleration (in meters per second), and s is the distance (in meters). what is the formula solved for a?

Answers

The acceleration of the object is 4 m/s². To solve the formula for acceleration (a), we can rearrange the equation.

The formula for the final velocity (v) of an object under constant acceleration is:
v = u + at
where:
v is the final velocity,
u is the initial velocity,
a is the acceleration, and
t is the time taken.

To solve for a, we need to isolate it on one side of the equation. Let's rearrange the formula:
v = u + at
Subtracting u from both sides, we get:
v - u = at
Next, we divide both sides of the equation by t:
(v - u) / t = a
So, the formula solved for acceleration (a) is:
a = (v - u) / t
In this formula, acceleration (a) is equal to the change in velocity (v - u) divided by the time taken (t).

Let's consider an example: if an object initially has a velocity of 10 m/s and its final velocity is 30 m/s after 5 seconds, we can use the formula to find the acceleration:
a = (30 - 10) / 5
a = 20 / 5
a = 4 m/s²

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In a recent year, wind machines in a country generated 183.1 billion kWh of electricity, enough to serve over 17 million households. The nation's total electricity production that year was 4,098 billion kWh. What percent of the total energy production was generated by wind machines

Answers

Answer:

The right answer is "4.4%".

Explanation:

Given:

Generated electricity,

= 183.1 billion kWh

Total electricity production,

= 4098 billion kWh

Now,

The wind energy percentage will be:

= \(\frac{183.1}{4098}\times 100\)

= \(0.0446\times 100\)

= \(4.4\) %

Pls Help Fast I will give Brainliest and Points:
To ensure that a vehicle crash is inelastic, vehicle safety designers add crumple zones to vehicles. A crumple zone is a part of a vehicle designed to crumple easily in a crash. Use Newton’s second law to explain why crumple zones reduce the force in a collision.

Answers

Answer:

Crumple Zones are parts of a car that are designed to deform and absorb large amounts of energy from car collisions and impacts. This helps reduce the force that acts on the driver in a car accident [1]. 2: Newton's Second Law states that Force= Mass x Acceleration

Explanation:

1. (a) At what temperature do the Fahrenheit and Celsius scales have the same numerical value? (b) At what temperature do the Fahrenheit and Kelvin scales have the same numerical value? 1. How large an expansion gap should be left between steel railroad rails if they may reach a maximum temperature 30 deg C greater than when they were laid? Their 1 original length is 12.5 m. Use a=1.2x10-5 O m

Answers

The point at which the Fahrenheit and Celsius scales have the same numerical value is -40°C. The point at which the Fahrenheit and Kelvin scales have the same numerical value is 459.67°F the expansion gap that should be left between the steel railroad rails is 0.0045 m or 4.5 mm.

(a) The point at which the Fahrenheit and Celsius scales have the same numerical value is -40°C. This is because this temperature is equivalent to -40°F.  At this temperature, both scales intersect and meet the same numerical value.
(b) The point at which the Fahrenheit and Kelvin scales have the same numerical value is 459.67°F. At this temperature, both scales intersect and meet the same numerical value.
For the second part of the question:
Given that the original length of the steel railroad rails is 12.5m, the maximum temperature rise is 30℃, and the coefficient of linear expansion (a) is 1.2×10⁻⁵/℃.
Therefore, the expansion ΔL can be calculated as:
ΔL = L×a×ΔT
Where L is the original length of the steel railroad rails, a is the coefficient of linear expansion, and ΔT is the temperature rise.
Substituting the given values, we have:
ΔL = 12.5×1.2×10⁻⁵×30
ΔL = 0.0045 m
Therefore, the expansion gap that should be left between the steel railroad rails is 0.0045 m or 4.5 mm. This gap allows the rails to expand without buckling or bending.

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A hawk in level flight 135m above the ground drops the fish it caught. If the hawk horizontal speed is 20m/s, how far ahead of the drop point will the fish land

Answers

Find how long it will take the fish to hit the ground

A 30 kg child is sitting on a swing. Their weight is exerting a downward force on the swing. The ropes are exerting an upward force on the swing. The swing is not moving. What is the net force on the swing?

A.294 N down
B.294 N up
C.0 N
D.30 kg

Answers

B.294 N up is the answers
Djgidodlckf dkdngrfndkckgdkckv

What best describes the states of nonmetals when they are at room temperature?

Most nonmetals are gaseous, but some are liquid or solid.
All nonmetals are gaseous unless they bond with a metal.
Most nonmetals are solids, but some are gaseous or liquid.
All nonmetals are solid unless they bond with a metal.

Answers

Answer:

A.) Most nonmetals are gaseous, but some are liquid or solid

Explanation:

Answer:

a

Explanation:

Some knowledge of radioactivity would be useful for understanding which of
the following?
Check all that apply.
A. certain medical procedures
n B. radon in homes
C. rocket boosters on the space shuttle
O D. determining ages of fossils
SUBMIT

Answers

Some knowledge of radioactivity would be useful for understanding the certain medical procedures. Option A is correct.

What is radioactivity?

The act of producing radiation spontaneously is known as radioactivity. This is accomplished by an unstable atomic nucleus that want to give up some energy in order to move to a more stable form.

Radiation is being employed to assist humanity in medical, academia, and industry, as well as to generate power.

Radiation is also important in agriculture, archaeology, space exploration, law enforcement, geology a variety of other fields.

Some knowledge of radioactivity would be useful for understanding the certain medical procedures.

Hence, option A is correct.

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PLEASE HELP!!! ASAP!!!

PLEASE HELP!!! ASAP!!!

Answers

Answer:

I think It is D

Explanation:

4. Predict whether a greater amount of energy will be
transferred as heat between 1 kg of water at 10 °C
and a freezer at -15 °C or between 1 kg of water at
60 °C and an oven at 65 °C.

Answers

The greater amount of energy is transferred during the first case and the difference in energies is: 84 × 10³ J

What is internal energy of a system?

Internal energy refers to all energy within a particular system, including the kinetic energy of molecules and the energy stored in chemical bonds between molecules. The interaction of heat, work, and internal energy involves the transfer and conversion of energy whenever a change is made to the system.

The amount of heat (Q) gained or lost from the sample can be calculated using the formula Q = mcΔT. where m is the mass, c is the specific heat, and ΔT is the temperature change.

For the first case:

Q = mcΔT

Q = mc(T₁ - T₂)

m = 1 kg or 1000 g

c =  4.2 J g⁻¹/°C

T₁ = 10 °C

T₂ = -15 °C

Q₁ = 1000 × 4.2 × (10 -(-15))

Q₁ = 105 × 10³ J

For the second case:

Q = mcΔT

Q = mc(T₂ - T₁)

m = 1 kg or 1000 g

c =  4.2 J g⁻¹/°C

T₁ = 60 °C

T₂ = 65 °C

Q₂ = 1000 × 4.2 × (65 - 60)

Q₂ = 21 × 10³ J

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1. What is the average speed of a racecar that travels a distance of 230 miles in 2 hours?

Answers

Answer:

s = d/t

s = 230/2

s = 115 mph

Explanation:

Average Speed (s) = Distance travelled (d) / Time elapsed (t)

HELP PLEASE!!
Which variables are CONTROLS and must stay the same? (select 2)

1.Mass of the car
2.Height of the ramp
3.Distance the car traveled
4.Shape of the car

 HELP PLEASE!!Which variables are CONTROLS and must stay the same? (select 2)1.Mass of the car2.Height

Answers

Answer:

The height of the ramp and the shape of the car are controls.

You are given the masses of cars used (variables) and are to measure the distance traveled (the variables stated above must remain constant if one is to determine distance traveled versus the mass of the cars).

hey can anyone pls help me out in dis !

hey can anyone pls help me out in dis !

Answers

All of the above.

For example:

A glass plate is a solid. Particles vibrate in a solid and are closely packed. together.

It doesn’t change shape if you touch it.

It doesn’t change volume like it’s water.

Answer:

D: all of the above

Explanation:

particles in a solid do vibrate but they're tightly packed and move around fixed location

If a star is moving towards earth,it is

Answers

Answer:

Explanation:

If a star is moving toward Earth, it is blue-shifted. Light is an electromagnetic wave that has a range of colors

On earth, two parts of a space probe weigh 18000 N and 7300 N. These parts are separated by a center-to-center distance of 13 m and may be treated as uniform spherical objects. Find the magnitude of the gravitational force that each part exerts on the other out in space, far from any other objects.

Answers

The magnitude of the gravitational force that each part exerts on the other out in space is 4.2 × 10^-4 N.

The weight of first part = 18000 N

The weight of second part = 7300 N

Center to center distance between the two parts = 13 m

Formula used:
The magnitude of gravitational force is given as,

F = (G × m₁ × m₂)/r²

where,

G = gravitational constant,

m₁ = mass of first object,

m₂ = mass of second object,

r = distance between the center of two objects


We can use the formula,

F = (G × m₁ × m₂)/r²

weight of first part = 18000 N

Let's find the mass of the first part.

Mass of first part,

m₁= weight/g= 18000 N/9.81 m/s²= 1834.2 kg

Given, weight of second part = 7300 N

Let's find the mass of the second part.

Mass of second part, m₂= weight/g= 7300 N/9.81 m/s²= 744.68 kg

Center to center distance between the two parts = 13 m

Let's find the distance between the two parts.

Distance, r = 13 m

Now, substitute all the values in the formula to get the magnitude of gravitational force,

F = (G × m₁ × m₂)/r²

= (6.67 × 10^-11 Nm²/kg² × 1834.2 kg × 744.68 kg)/(13 m)²

= 4.2 × 10^-4 N

The magnitude of the gravitational force that each part exerts on the other out in space is 4.2 × 10^-4 N.

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how do you know if your converter dolly is equipped with antilock brakes

Answers

To determine if your converter dolly is equipped with antilock brakes (ABS), you can check for the presence of certain indicators or features:

1. Look for ABS Warning Light: Most vehicles with ABS have a warning light on the dashboard that illuminates when the ABS system is engaged or when there is a malfunction. Check if your converter dolly has an ABS warning light on the dashboard or instrument panel.

2. Inspect the Brake Components: Check the converter dolly's brake components, such as the wheel assemblies or brake control module, for any visible ABS-related components. Look for sensors, wiring harnesses, or additional valves that are commonly associated with ABS systems.

3. Review Manufacturer Specifications: Consult the manufacturer's documentation or user manual for your converter dolly. It should provide information about the features and specifications of the dolly, including whether it is equipped with ABS. Look for specific mentions of ABS or antilock braking system in the documentation.

4. Consult with the Manufacturer or Dealer: If you are still unsure, contact the manufacturer or dealer from whom you acquired the converter dolly. They should be able to provide information about the dolly's features, including whether it is equipped with ABS.

It's important to note that ABS is a safety feature that helps prevent wheel lock-up and maintain control during braking. If your converter dolly is equipped with ABS, it can enhance braking performance and stability, especially in slippery or emergency situations.

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The first one on gets brainilest

Answers

Answer:

thanks

Explanation:

Dang, a+ for effort I guess lol

Queremos diseñar un montacargas que pueda subir con una rapidez de 12 km/h una mas 700 kg hasta 40 m de altura en un minuto. Calcula: a) El trabajo que realiza en ese recorrido. b) La potencia de motor que necesita. c) la energía cinética d) energía potencial d) la energía mecánica

Answers

Answer:

a) El trabajo realizado es de 274,680 J

b) La potencia de la carretilla elevadora es de 4578 Watts.

c) La energía cinética del montacargas es de 3.888.\(\overline 8\) J

d) La energía potencial del montacargas es de 274.680 Joules.

e) La energía mecánica de la carretilla elevadora 278,568.\(\overline 8\) J

Explanation:

a) Los parámetros dados son;

La velocidad de la carretilla elevadora, v = 12 km / h = 10/3 m / s

La masa que debe levantar la carretilla elevadora, m = 700 kg

La altura a la que se levantará la masa, h = 40 m

El trabajo realizado, W = Fuerza, F × Distancia, h

 La fuerza, F aplicada = El peso de la carga = Masa, m × Gravedad, g

Donde 'g' es la aceleración debida a la gravedad ≈ 9,81 m / s²

∴ Trabajo realizado, W = 700 kg × 9,81 m / s² × 40 m = 274,680 J

b) El tiempo que se tarda en subir 40 m = 1 minuto = 60 segundos

∴ Potencia = Trabajo / tiempo

Por lo tanto, la potencia del montacargas, P = 274,680 J / (60 s) = 4578 Watts

c) Energía cinética, K.E. = 1/2 · m · v²

La energía cinética de la carretilla elevadora, K.E. se da como sigue;

Carretilla elevadora K.E. = 1/2 × 700 kg × (10/3 m / s) ² = 3.888.\(\overline 8\) J

d) La energía potencial del montacargas a 40 m, P.E. = m · g · h

∴ P.E. = 700 kg × 9,81 m / s² × 40 m = 274,680 Julios

e) La energía mecánica, M.E. = P.E. + K.E.

∴ M.E. = 3.888.\(\overline 8\) J + 274,680 J = 278,568.\(\overline 8\) J

La energía mecánica de la carretilla elevadora, M.E.= 278,568.\(\overline 8\) J.

You throw an orange out a window at a height of 12.00 meters
upwards at an angle of 32° to the horizontal at a velocity of 3.5
m/s. What is the maximum height that the orange will reach?

Answers

Answer:

12.18

Explanation:

The maximum height that the orange will reach is 12.18 m.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion.

You throw an orange out a window at a height of 12.00 meters upwards at an angle of 32° to the horizontal at a velocity of 3.5 m/s.

If u is the initial speed, the maximum height of the ball from the point of throwing is

H = u² sin²θ / 2g

Put the values, we get

H = 3.5² sin²32° / (2x9.81)

H = 0.1753 m

So, the maximum height calculated from the ground is

12 + 0.18 = 12.18 m

Thus ,the maximum height that the orange will reach is 12.18 m.

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What does it mean to say that mass is conserved during a physical change? ​

Answers

Answer:

Alright, so mass is a property of a physical body. During physical changes, such as acceleration, force, etc, the mass stays the same since we are not affecting its physical shape, just where it is physics wise. So yeah mass is conserved during a physical change.

Explanation:

Hopefully this helped, if not HMU and I will get u a better answer

-have a great day! :)

In a physical change the mass remains the same before and after the process, then it is said as the mass is conserved and mass is only conserved in the isolated system.

What is the law of Conservation of Mass?

A system that is isolated from its environment is one that does not communicate with it. As a result, no matter what changes or chemical reactions take place in that isolated system, the mass will remain constant; even if the final state may differ from the initial state, there can be no more or less mass than there was before the change or reaction.

The understanding that substances do not actually vanish as a result of a reaction, despite what might appear to be the case, but rather change into another material of equal mass, was made possible by the law of conservation of mass, which was essential to the development of chemistry.

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A unit of mass is ??

Answers

Hello,

Answer: kilogram

Further explaining: in science is used to measure weight of an object and used for accreditation.
Hope this helps!

he first right-hand rule relates which two quantities?
A.
current (thumb) to magnetic field (fingers)
B.
magnetic field (thumb) to current (fingers)
C.
current (thumb) to force (fingers)
D.
force (thumb) to current (fingers)
Reset Next

Answers

Answer: A.

current (thumb) to magnetic field (fingers)

Answer:

A. current (thumb) to magnetic field (fingers)

Explanation:

According to the Right-Hand Thumb rule, if we are holding a current- carrying straight conductor in our right hand such that the thumb points toward the direction of current, then the fingers will wrap around the conductor in the direction of the field lines of the magnetic field.

Hope it helps.

If you have any query, feel free to ask.

We usually think about friction as a force that opposes motion, but under some circumstances it can be the force responsible for making an object accelerate. For example, consider hauling a log in the back of a flatbed truck. If there were no friction between the log and the truck, then when the truck accelerates the log would have no force acting on it to make it accelerate also, so it would just stay at rest and the truck would 'drive out from under it'! However, in reality there is friction between the log and the truck and so, providing the log does not slip, we rely on the static frictional force to make the log accelerate at the same rate as the truck.

Answers

The frictional pressure opposes the movement of an item relative to its floor in contact unto which the force act upon.

However, the course of frictional pressure can be similar to the course of movement of the item. For example, at some point of on foot we observe a pressure withinside the backward course with our foot. When we carried out brake to the auto friction acts in contrary course of movement like if the auto circulate in east course the friction will act in west course.

We can say that friction act in contrary course hence,it continually opposes relative movement. Friction continually acts in contrary course to motion i.e it opposes the movement of an item. Air resistance is a frictional pressure which opposes movement thru air.

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Kelplers 3 laws in your own words

Answers

According to Kepler's first law of planetary motion, planets revolve around the sun such that the sun is always at one of its foci. This law is also known as the law of orbits.

According to Kepler's Second Law of planetary motion, a planet will cover equal amounts of area in an equal period of time if a line is drawn from the sun to the planet. This implies that the planet moves more slowly away from the sun and faster towards it.

According to Kepler's third Law of Planetary Motion, the squares of the orbital periods of the planets are directly proportional to the cubes of their semi-major axes.

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A small plane can travel at 200km/h in still air. If a 50km/h wind is coming from the east, determine the ground velocity of the plane if the pilot keeps the plane pointed (N).

Answers

The ground velocity of the plane when pointed north would be the vector sum of its velocity relative to the air (200 km/h) and the velocity of the wind (50 km/h). Since the wind is coming from the east, and the plane is pointed north, the wind is blowing across the path of the plane. This means the wind will have no effect on the plane's northward velocity and the ground velocity of the plane would be 200 km/h (north).

PLZ HELP ME 50 POINTS AND BRAINLEIST TO FIRST PERSON Give an example of the strong surface tension exhibited by water

Answers

Answer:

Water striders have strong intermolecular forces on their legs which enables them to run on water.

A cart moving at 4 m/s bounces elastically off of a second cart of twice the mass which is moving at 2 m/s in the same direction. What velocity does each cart now have?

Answers

Given,

The velocity of teh 1st cart, u₁=4 m/s

The velocity of the s2nd cart, u₂=2 m/s

The mass of each cart is the same. Let us assume that the mass is 'm'

The elastic collision is the collision in which the total kinetic energy of a system is conserved. That is the total kinetic energy of the carts before the collision is equal to that after the collision.

The speed of the 1st cart after the collision, as it is the elastic collision, is given by,

\(v_1=\frac{m_1-m_2}{m_1+m_2}u_1+\frac{2m_2}{m_1+m_2}u_2\)

Where m₁ and m₂ are the mass of each cart. But in this case, the mass of both carts is the same.

Thus,

\(\begin{gathered} v_1=\frac{m_{}-m_{}}{m+m}u_1+\frac{2m}{m+m}u_2 \\ =0+\frac{2m}{2m}u_2 \\ =u_2 \end{gathered}\)

Thus the mass of the 1st cart after the collision is 2 m/s

Similarly, the velocity of the second craft, as this is an elastic collision, is

\(\begin{gathered} v_2=\frac{2m_1}{m_1+m_2}u_1+\frac{m_2-m_1}{m_1+m_2}u_2 \\ =\frac{2m_{}}{m+m}u_1+\frac{m-m}{m+m}u_2 \\ =\frac{2m}{2m}u_1+0 \\ =u_1 \end{gathered}\)

Thus the velocity of the second cart after the collision is 4 m/s

1. The electromagnetic waves described in the reading are different in which two ways:
frequency and amplitude
B wavelength and frequency
wavelength and crests
D frequency and velocity
arting would require a stopwatch to measure?

Answers

Answer:

D is the answer

Explanation:

But do u know if im right test it out then surprise

The electromagnetic waves described in the reading are different in two ways, and that is Frequency and velocity. Hence, option D is correct.

What are electromagnetic waves?

A magnetic field and an electric field vibrate together to produce electromagnetic waves, often known as EM waves. In other terms, magnetic and electric fields that are oscillating make up electromagnetic waves (EM).

When a magnetic field and an electric field interact, electromagnetic waves are created. The term "electromagnetic waves" is used to describe them. An electromagnetic wave has an electric field and a magnetic field that are perpendicular to one another. They are likewise perpendicular to the EM wave's direction.

The wavelength and frequency of electromagnetic waves vary. Electromagnetic waves with longer wavelengths have lower frequencies, whereas those with shorter wavelengths have higher frequencies. Waves at higher frequencies carry more power. A wave's wavelength and frequency together determine its speed.

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Will someone please answer this and show me how you got it Suppose that in Cure Bin Table 2.5 the United States exchanges 4W for 4C with the United Kingdom (a) How much does the United States gain? (b) How much does the United Kingdom (c) What is the range for mutually beneficial trade? (d) How much would each nation gain if they exchanged 4W for 6C instead? If the measure of each exterior angle is twice as large as each interior angle, the polygon must be a regular group of friends are going to see a movie. The admission cost is $8 per person. The table below represents the number of friends and the total cost.Movie CostsNumber of Friends, (x)2345Total Cost in Dollars, (y)Which set of ordered pairs can be written from the table?(2, 10), (3, 11), (4, 12), (5, 13)(2, 16), (3, 24), (4, 32), (5, 40)(10, 2), (11, 3), (12, 4), (13, 5)(16, 2), (24, 3), (32, 4), (40, 5)PLEASE IN THE TEST NOW A lead pellet is propelled vertically upward by an air rifle with an initial speed of 16m/s. Find itsmaximum height. 9. Which of the following concentrations has units of moles of solute per liter of solution?a. molarityb. mass percente. parts per milliond. mole fraction Calculate the moles of Cl atoms in 0.0395 g of CH4Cl. Help me plzzz im putting more points and plz tell me how u got the answer It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars eachIf Tyra buys 20 tickets, how much would it cost her for the fair?20 d - $12$12 d + 20$12-20 d$12 + 20 d Globalworld, a company that develops technological innovations, invests its excess cash in a commercial certificate of deposit. If a cash shortage occurs, what will Globalworld most likely do? How do geologists find mineral deposits? Does the intensity of light from a laser fall off as 1 / r? Explain. Paolo helped in the community garden for 2342 43 2, start fraction, 3, divided by, 4, end fraction hours this week. That was 1561 65 1, start fraction, 5, divided by, 6, end fraction equal-length shifts, because Paolo stopped early one day when it started to rain. How long is a single shiftPaolo helped in the community garden for 2342 43 2, start fraction, 3, divided by, 4, end fraction hours this week. That was 1561 65 1, start fraction, 5, divided by, 6, end fraction equal-length shifts, because Paolo stopped early one day when it started to rain. How long is a single shift? .A random variable X is said to have the Poisson distribution with mean if Pr(X = k) = ek/k! for all k N. Let X1 and X2 be independent random Poisson variables both with variance t. Calculate the distribution of X1 + X2. during the tornado outbreak of 14-16 april 2011, alabama reported the most tornado-related deaths. (True or False) Sophia wants to buy a new bike that cost $214.Sophia helps her grandmother with chores each week for $18.estimate to find which layaway plan Sophia should choose and why explain why the court ruled that groundwater in southern nebraska should be considered part of the republican river. What did the American colonists not include in the Declaration of Independence? A. the rights of life, liberty, and the pursuit of happinessB. the penalties for violating economic rightsC. a list of the colonists' grievancesD. the belief that all men are equal which function would the nurse include when teaching a group of student nurses about the loop of henle? Do you think understanding the culture and music of the Filipinos would help foreigners understand us better? Why? *