a lapidary cuts a diamond so that the light will refract at an angle of 17.0° to the normal. what is the index of refraction of the diamond when the angle of incidence is 45.0°?

Answers

Answer 1

The index of refraction of air, which is approximately 1.000: n_(2) = (1.000 × sin(45.0°)) / sin(17.0°). This expression will give us the index of refraction of the diamond.

To calculate the index of refraction of the diamond, we can use Snell's law, which relates the angles of incidence and refraction to the indices of refraction of the two media involved. Snell's law can be expressed as follows:

n1 × sin(θ_(1)) = n2 × sin(θ_(2))

where:

n_(1) is the index of refraction of the initial medium (in this case, air),

θ_(1) is the angle of incidence,

n_(2) is the index of refraction of the second medium (in this case, diamond),

θ_(2) is the angle of refraction.

We can rearrange the equation to solve for the index of refraction of the diamond, n_(2):

n_(2) = (n_(1) × sin(θ_(1))) / sin(θ_(2))

Given that the angle of incidence θ_(1) is 45.0° and the angle of refraction θ_(2) is 17.0°, we can substitute these values into the equation along with the index of refraction of air, which is approximately 1.000:

n_(2) = (1.000 × sin(45.0°)) / sin(17.0°)

This expression will give us the index of refraction of the diamond.

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Related Questions

what is the density to the object g/cm3

Answers

Should be 1.4, I hope this helps you out

How much work is done on a pumpkin with a force of 24 newtons when you lift it 15 meters? *

Answers

Answer:

I'm not that busy solving but I'll tell you the formula that Force x distance is equal to work done

The work is done on a pumpkin when we lift it by 15 m with 24 N is 360 J

What is Work ?

Work done is the amount energy gained (loosed) in bringing the body from initial position to final position. It is denoted by W and its SI unit is joule(J).  

i.e. Work(W) is force(F) times displacement(s).

W=F× s

When a body is displaced with 1 newton of force by 1 m, then we can say that work has been done on the body by 1 joule.

Writing for it's dimension,

W=F× s

Force has dimension [L¹ M¹ T²]

Displacement has dimension [L¹]

multiplying both the dimensions Force and Displacement  

we get,

dimension of Work [L² M¹ T²]

According to newton's second law of motion,

Force(F) is mass(M) times acceleration(a).

i.e. F=ma

Given,

Force = 24 N

Displacement = 15 m

W=F.s= 24*15 = 360 J

Hence work done on pumpkin is 360 J

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A car was traveling at 45 m/s toward a traffic signal when the light suddenly changed from green to red. The driver slams on the brakes, stopping the car in 3.3 seconds. a. What is the acceleration of the car? b. How far did the car travel before it came to a stop

Answers

Answer:

Acceleration =13.63m/s^2

initial velocity = v = 45

final velocity = u = 0

acceleration = v-u/t

if an object moves with unchanging velocity, does this mean that no forces are acting on the object?

Answers

Answer:

F = M a    and  a = (V2 - V1) / t

If a equals zero (constant velocity) then no external forces are present

The mass of a brick is 2kg. Find the mass of water displaced by it when it is completely immersed in water. (Density of the bricks is 2.5 g/cm^3)​

Answers

Answer:

2000g

Explanation:

volume=mass/density

=2000/2.5

=800cm³

mass=density×volume

=800×2.5

=2000g

two charged particles are attached to an x axis: particle 1 of charge 2.00 107 c is at position x 6.00 cm and particle 2 of charge 2.00 107 c is at position x 21.0 cm. midway between the particles, what is their net electric field in unit-vector notation?

Answers

The required net electric field in unit-vector notation when the charge on the particles is specified is calculated to be -6.39 × 10⁵ N/C i.

The charge on the particle 1 is given as -2× 10⁻⁷ c.

The charge on the particle 2 is given as 2× 10⁻⁷ c.

x₁ is given as 6 cm and x₂ is given as 21 cm.

Let x be the point midway of the two positions.

x = 13.5 cm

The magnitude and direction of individual electric fields is calculated as,

E₁ = -q₁/(4πε₀)(x - x₁)² = 9 × 10⁹|(-2× 10⁻⁷)|/(0.135 - 0.06) = -3.196 × 10⁵ N/C i

E₂ = -q₂/(4πε₀)(x - x₂)² = 9 × 10⁹|(2× 10⁻⁷)|/(0.135 - 0.21) = -3.196 × 10⁵ N/C i

The net electric field is given as,

E net = E₁ + E₂ = -6.39 × 10⁵ N/C i

The given question is inappropriate. The complete question is 'Two charged particles are attached to an x axis: particle 1 of charge -2 × 10⁻⁷ c is at position x = 6 cm and particle 2 of charge 2× 10⁻⁷ c is at position x = 21.0 cm. midway between the particles, what is their net electric field in unit-vector notation?'

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Convert 3.8 kg to Lbs

Convert 3.8 kg to Lbs

Answers

I believe it’s 8.3 to be precise

Answer:

8.37757

Explanation:

may i have brainliest

1.15 The speed of light in Crown glass is greater than its speed in

Answers

so the answer is easy it's air

Explain why driving a newer car is 'greener' than driving a very old car.

Answers

Answer:

The reasons behind it include the environmental cost of manufacturing and how many miles per gallon a car gets.

a study reveals that fully 75 percent of a car's lifetime carbon emissions stem from the fuel it burns, not its production. A further 19 percent of that is production and transportation of the fuel, leaving just six percent for the car's manufacture.

A power station that is being started up for the first time generates 6120 MWh of energy over a 10 hour period. (i) If the rated power at full capacity is 660 MW, calculate how long it takes the power station to reach its full power output. (You may assume a constant increase in power from zero to full power) (ii) State what type of power station can be started up fastest and explain why the start-up times for other types of power station are slower. Explain briefly, how this is relevant to optimising the usage of windfarms. c) What is the Bremsstrahlung effect and how can it be avoided in shielding design? d) Sketch the electromagnetic field output from an antenna, describing in detail the two main regions in the output field.

Answers

(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.

(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:

Energy = Power × Time

Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:

Time = Energy ÷ Power

Converting the energy to watt-hours (Wh):

Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh

Converting the power to watt-hours (Wh):

Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh

Now we can calculate the time:

Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours

Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.

(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.

In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.

This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.

(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.

In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.

(d) The electromagnetic field output from an antenna can be represented by two main regions:

Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.

Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation.  The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.

The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.

In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.

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Sketch a position-time graph for a bear starting
1.2 m from a reference point, walking slowly
away at constant velocity for 3.0 s, stopping for
5.0 s, backing up at half the speed for 2.0 s, and
finally stopping​

Answers

Explanation:

hopefully that makes sense. the position doesn't change over the 5 seconds, meaning it's stopped but time still continues. then when the slope is negative this shows the bear's position becoming negative (backing up, changing direction).

Sketch a position-time graph for a bear starting1.2 m from a reference point, walking slowlyaway at constant

1. A car starts from the rest on a circular track with a radius of 300 m. It accelerates with a constant tangential acceleration of a = 0.75 m/s?. Determine the distance traveled and the time elapsed"

Answers

Starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², the car will travel a distance of approximately 0.2119 meters or 21.19 centimeters in 0.75 seconds.

To determine the distance traveled and the time elapsed by the car starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², we can use the equations of circular motion.

The tangential acceleration is the rate of change of tangential velocity. Since the car starts from rest, its initial tangential velocity is zero (v₀ = 0).

Using the equation:

v = v₀ + at

where v is the final tangential velocity, v₀ is the initial tangential velocity, a is the tangential acceleration, and t is the time, we can solve for v:

v = 0 + (0.75 m/s²) * t

v = 0.75t m/s

The tangential velocity is related to the angular velocity (ω) and the radius (r) of the circular track:

v = ωr

Substituting the values:

0.75t = ω * 300

Since the car starts from rest, the initial angular velocity (ω₀) is zero. So, we have:

ω = ω₀ + αt

ω = 0 + (0.75 m/s²) * t

ω = 0.75t rad/s

We can now substitute the value of ω into the equation:

0.75t = (0.75t) * 300

Simplifying the equation gives:

0.75t = 225t

t = 0.75 seconds

The time elapsed is 0.75 seconds.

To calculate the distance traveled (s), we can use the equation:

s = v₀t + (1/2)at²

Since the initial velocity (v₀) is zero, the equation becomes:

s = (1/2)at²

s = (1/2)(0.75 m/s²)(0.75 s)²

s = (1/2)(0.75 m/s²)(0.5625 s²)

s = 0.2119 meters or approximately 21.19 centimeters

Therefore, the car travels a distance of approximately 0.2119 meters or 21.19 centimeters.

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What is the estimated age of the Universe (in years) if the Hubble constant is 80 km/s/Mpc? _____ years Could a star, created at the beginning of the Universe, with the same mass as our Sun, still be around today (tsun = 11 billion years)? Yes/No

Answers

The estimated age of the Universe can be calculated using the Hubble constant. If the Hubble constant is 80 km/s/Mpc, the estimated age of the Universe is approximately 13.8 billion years. Given that the star created at the beginning of the Universe has a lifespan of 11 billion years (tsun = 11 billion years), it would still be around today.

The Hubble constant is a measure of the rate at which the Universe is expanding. By using the Hubble constant, the age of the Universe can be estimated using the reciprocal of the Hubble constant. If the Hubble constant is 80 km/s/Mpc, the estimated age of the Universe is approximately 1 / (80 km/s/Mpc) = 13.8 billion years.

Considering the estimated age of the Universe as 13.8 billion years and the lifespan of a star with the same mass as our Sun as 11 billion years, it is evident that the star created at the beginning of the Universe would still be around today. Since the estimated age of the Universe is greater than the lifespan of the star, it indicates that the star would not have reached the end of its life yet and would still exist in the present time. Therefore, the answer is yes, a star created at the beginning of the Universe with the same mass as our Sun could still be around today.

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Please help

Please help

Answers

Answer; 1 wavelength has a longer wavelength and lower frequency, 2 wavelength has a high frequency and short wavelength

Researchers recorded the forces over a short period of time (0.065 s) for three different airbag designs as well as one crash without airbags. Your task is to analyze the data from the trials listed below. Use this analysis to construct an argument about which airbag design provides the most protection, citing patterns from the data as evidence for your claim. Data Time (seconds) Design 1(kN) Design 2 (kN) 0 0 0 0.005 0 7.38 0.01 0 46.18 0.015 7.63 84.08 0.02 56.03 91.87 0.025 101.84 90 08 0.03 126 81 81 03 0.035 114.13 54.13 0.04 64 84 36.96 0.045 38.15 29.96 0.05 17.78 18.2 0.055 5.04 10.87 0.06 0 4.31 Design 3 (kN) No Airbag (kN) 0 0 0 0 8.65 2.3 33.45 5.72 83.88 232 54 147.5 222 68 111 23 67.44 77.43 16 23 36.55 4.17 22.76 0 9.43 0 0 0 0 0 O 065 0 0 0 0

what is the pattern ​

Answers

Answer:

Design 2

Explanation:

I had this same question

My answer:

"Design 2 is the well-designed one, because the air molecules are the most compact and could protect the individual better than 1,3,and no air bag."

what is the frequency of a wave of 15 wavelengths pass every 3.0 seconds?

what is the frequency of a wave of 15 wavelengths pass every 3.0 seconds?

Answers

The answer is D) 5 Hertz

Describe where x-rays are found on the ems compared to the other six forms of radiation. In your description, compare and contrast its wavelength, frequency and energy with those of other regions of the ems.

Answers

X-rays are electromagnetic radiation with a high frequency and energy. They have frequencies between 3 and 1016 Hz and wavelengths between 0.01 to 10 nanometers. They are discovered to exist in the electromagnetic spectrum's region between ultraviolet and gamma rays.

What distinguishes X-rays from other electromagnetic waves?

X-rays are a part of the electromagnetic spectrum. Light waves get more energetic as their wavelengths shorten. X-rays are more energetic because they have shorter wavelengths. When discussing X-rays, we frequently refer to their energy rather than its wavelength.

What kind of wavelength description would be appropriate for X-rays?

Compared to ultraviolet light, x-rays have far higher energies and shorter wavelengths; therefore, scientists normally talk about x-rays in terms.

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Why isn’t all white light or even yellow light the same

Answers

Answer:

I think its because of the way our eyes see colors

Explanation:

yellow is between green and orange on the spectrum of visible light. that is why it is called the ' yellow ' light

A block of mass 290 kg slides on a frictionless plane inclined at 39◦ with the horizontal under the influence of a restraining force of 1643 N acting parallel to the incline and up the incline. The acceleration of gravity is 9.8 m/s^2

What is the magnitude of the acceleration of the block? Answer in units of m/s^2

The resulting motion is
1. down the plane, since the acceleration is positive.
2. up the plane, since the acceleration is negative.
3. undetermined.

A block of mass 290 kg slides on a frictionless plane inclined at 39 with the horizontal under the influence

Answers

The magnitude of the acceleration is  −0.50 m/s² of the block of mass 290kg that slides on a frictionless plane inclined at 39◦ with the horizontal under the influence of a restraining force of 1643 .

The resulting motion is

2. up the plane, since the acceleration is negative.

What is acceleration?

Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an object or point moving straight ahead.

Due to the constant change in direction, motion on a circle accelerates even when the speed is constant. Both effects help to accelerate all other types of motion.

We have given that,

m = 290 kg

θ = 39◦

F = 1643 N

g = 9.8 m/s²

The force due to gravity

F₁ = m × g × sinθ

F₁ = 290 × 9.8 × sin 39°

F₁ = 1790.46 N

Lets take acceleration is a m/s²

Form Newtons second law

F - F₁ = m × a

1643 - 1790.46 = 290 x a

a = −0.50 m/s²

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how does communication relate to measuring? cite examples​

Answers

At intervals to track attitudes regular measurement helps communicators to gauge the ever-shifting feelings and attitudes within an organization and to tailor messages to make sure they are appropriate to their audiences.

at the amway center, how is the basketball floor put into place following a rock concert?

Answers

The Amway Center is a multi-purpose arena located in downtown Orlando, Florida, United States. It is primarily used for basketball games, ice hockey matches, concerts, and other events.

The basketball floor is put into place following a rock concert by dismantling the concert stage and equipment and then removing the temporary flooring that was laid down for the concert.

The basketball floor is then transported into the arena on trucks and assembled piece by piece.

The Amway Center is a multi-purpose arena located in downtown Orlando, Florida, United States.

The basketball floor is put into place following a rock concert by dismantling the concert stage and equipment and then removing the temporary flooring that was laid down for the concert.

The basketball floor is then transported into the arena on trucks and assembled piece by piece.

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A particle is moving with acceleration \( a(t)=18 t+18 \). its position at time \( t=0 \) is \( s(0)=1 \) and its velocity at time \( t=0 \) is \( v(0)=3 \). What is its position at time \( t=14 \) ?

Answers

Integrating the given acceleration function twice, we find that the the position of the particle at time t = 14 is 10039 units.

Acceleration function: a(t) = 18t+18

To find the velocity function, we integrate the acceleration function with respect to time:

v(t) = ∫ a(t)dt = ∫(18t+18)dt=9t2 + 18t + C1

We know that the velocity at time t = 0 is v(0) = 3, , so we substitute these values into the velocity equation to find the constant C1 :

v(0) = 9(0)2 + 18(0) + C1 = C1 =3

Therefore, the velocity function is: v(t) = 9t2 + 18t + 3

To find the position function, we integrate the velocity function with respect to time:

s(t) = ∫v(t)dt = ∫( 9t2 + 18t + 3) dt = 3t3 + 9t2 + 3t + C2

We know that the position at time t = 0 is s (0) = 1, so we substitute these values into the position equation to find the constant C2 :

s(0) = 3(0)3 + 9(0)2 + 3(0) + C2 = C2 = 1

Therefore, the position function is: s(t) = 3t3 + 9t2 + 3t + 1

To find the position at time t = 14, we substitute t = 14  into the position equation:

s(14) = 3(14)3 + 9(14)2 + 3(14) + 1

s(14) = 3(2744) + 9(196) + 42 + 1

s(14) = 8232 + 1764 + 42 + 1

s(14) = 10039

Therefore, the position of the particle at time t = 14 is 10039 units.

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The driver of a car traveling at 27.5 m/s applies the brakes and undergoes a constant
deceleration of 1.09 m/s^2.
How many revolutions does each tire make
before the car comes to a stop, assuming that
the car does not skid and that the tires have
radii of 0.15 m?
Answer in units of rev.

Answers

To calculate the number of revolutions each tire makes before the car comes to a stop, we can use the equation of motion:
v^2 = u^2 + 2as
where v is the final velocity (0 m/s in this case, as the car comes to a stop), u is the initial velocity (27.5 m/s), a is the acceleration (1.09 m/s^2), and s is the distance covered.

In this case, we know the initial velocity, the deceleration and we want to know the distance covered by the car before it stops.
We can rearrange the equation to:
s = (v^2 - u^2) / 2a

Plugging in the given values, we have:
s = (0^2 - 27.5^2) / 2*(1.09)
s = ( -747.56 m^2 ) / 2.18
s = -343.24 m

The distance covered by each wheel is the distance covered by the car (343.24m) divided by the number of wheels.
Since the radius of each wheel is 0.15 m, we can use circumference = 2 * pi * r, to find how many revolutions are made by each wheel.

The circumference of each wheel is 0.3 * pi
The number of revolutions the wheel makes is equal to the distance traveled divided by the circumference of the wheel,
so the number of revolutions = s /(0.3 * pi)

revolutions = 343.24 / (0.3 * pi) = 343.24 / 0.94 = 364.87 rev.
So, each tire makes 364.87 revolutions before the car comes to a stop.

If you double the distance between you and the center of Earth, what happens to the strength of the gravitational field you experience?

Answers

Answer:

The strength of gravity decreases.

An example of that would be if you were in space; you float around because there's no gravity.

a pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m . now the pilot does a run at the same height but twice the speed. how much time does it take the weight to hit the ground?

Answers

(1) The time does pilot take the weight to hit the ground = 2.4 s

(2) The pilot travel before land = 400 m

Because fall time is proportional to fall height and acceleration due to gravity (g) is constant,

t₁ = t₂  

s₁ = initial distance

s₂ = final distance

t₁ = initial time

t₂ = final time

Hence, the time does it take the weight to hit the ground = 2.4 s

The initial distance (s₁) = 200 m, and the pilot does a run at the same height but twice the speed.

So, the  pilot travel before land:

s₂ = 2 x s₁

= 2 x 200 m

= 400 m

The question is incomplete, it should be:

There are competitions in which pilots fly small planes low over the ground and drop weights, trying to hit a target. A pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m. Now the pilot does a run at the same height but twice the speed. How much time does it take the weight to hit the ground? How far does it travel before it lands?

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A plane is moving blank 120km/h.

Which of the following options make a velocity value if used to complete the statement

Select all that apply


1. West at

2. At a low velocity of

3. North at

4. At a cruising velocity of

QUICK PLS!!

Answers

If the plane is moving blank 120 km/h, the velocity used to complete the statement is 1. west at 120km/h. and 3. North at 120km/h.

The assertion "A plane is moving at 120km/h" gives data about the speed of the plane. Notwithstanding, to completely depict the movement of an article, both speed and course are required, which together make up speed. In this manner, choices 1 and 3 give guidance alongside the speed, making them reasonable choices to finish the assertion. Choice 2 just gives a subjective depiction of the speed, which isn't adequate to portray speed. Choice 4 just gives data about the sort of speed however provides no data about the guidance. In this manner, choices 1 and 3 are the ones in particular that make a legitimate speed esteem when used to finish the assertion.

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The complete question is:

A plane is moving blank 120km/h.

Which of the following options make a velocity value if used to complete the statement

Select all that apply

1. West at 120km/h.

2. At a low velocity of 120km/h.

3. North at 120km/h.

4. At a cruising velocity of 120km/h.

which statement describes what is occurring at t=5 seconds?

Answers

The statement that describes at t =5 second is is the object speed up.

According to Newton's second law of motion, the acceleration of a body is equal to the net force acting on the body divided by its mass, a = Fm. This acceleration equation can be used to calculate the acceleration of an object if the mass of the object and the net force acting on it are known. The only acceleration of the projectile is the downward acceleration due to gravity.

The projectile has a vertical acceleration of 9.8 m/s/s throughout its trajectory. This acceleration value is constant. This means that the vertical velocity changes by the same amount every second. Instantaneous velocity is the speed of an object at a particular point in time. If the velocity is constant the average velocity for any time interval will not differ from the instantaneous velocity at that point in time.

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HELP MEEEE
The anion formed from an oxygen atom is called a(n)
a.
oxygen ion.
c.
carbon dioxide.
b.
oxide ion.
d.
nitrous oxide.

Answers

Answer:

Explanation:

Oxide ion I think.

Typical Pressurized Water Reactors can produce 1100 to 1500
megawatts, or about _______
Joules/second.

Answers

Answer: about 1,100,000,000 to 1,500,000,000 Joules/second

Explanation:

1 MW (megawatt) = 1,000,000.00 J/s (joules per second)

1100(1,000,000) = 1,100,000,000

1500(1,000,000) = 1,500,000,000

Calculate the solubility (in g/L) of silver carbonate in water at 25°C if the k sp for Ag 2CO3 is 8.4 x 10-12 A.8.0 x 10-4 g/L B.5.6 x 10-2 g/L C.4.4x 10-2 g/L D.3.5 * 10-2

Answers

The solubility of silver carbonate in water at 25°C is approximately

1.28 x 10⁻⁴ g/L

How to find the solubility

To calculate the solubility of silver carbonate (in water at 25°C, we need to use the solubility product constant (Ksp) and the balanced chemical equation for the dissociation of silver carbonate.

The balanced chemical equation for the dissociation of Ag2CO3 is

Ag₂CO₃(s) ⇌ 2Ag+(aq) + CO₃²-(aq)

Using the Ksp expression for Ag₂CO₃

Ksp = [Ag+]² [CO3²-]

substituting the equilibrium concentrations:

8.4 x 10⁻¹² = (2x)² * x

Simplifying the equation

8.4 x 10⁻¹² = 4x³

2.1 x 10⁻¹²  = x³

taking the cube root of both sides

x ≈ 1.28 x 10⁻⁴ g/L

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1. A finance manager of a large corporation was informed that the firm would require to borrow one millions funds in three months time. Current interest rates are based on the three-month KLIBOR rate of 4% per annum. He expects interest rate to increase during these periods, he decided to lock in the current interest rate. He can do so by:a. selling 3-month KLIBOR futures contract.b. buying 3-month KLIBOR futures contract.c. buying and selling corresponding 3-month futures contracts.d. selling 3-month KLIBOR spot contract. The market is expected to return 12%, and T-bills are currently yielding 2%. Edis Engineeringhas a beta of 0.95 and just paid a dividend of $2 per share. Dividends have been growing at anannual rate of 2% and are expected to continue at this rate forever. If the stock sells for $24.25per share, what is the average of the company's cost of equity (use the two methods taught)? WILL GIVE BRAINLIST TO BEST ASNWER PELASE HELPIn the diagram of movie theater seats, the incline of the floor, f, is parallel to the seats, s You need to recrystallize a polar solute X that is contaminated with nonpolar impurity Y. If you use nonpolar solvent Q (which matches polarity of impurity Y) to carry out the recrystallization of X: Copyright 2022. Govindarajoo, G. Rutgers, The State University of New Jersey. How specifically would the impurity be separated from solute X in this situation: true or false preformed vaitamin a is found in the foods of animal origin sucha s liver whereas prtovitmain a is found in plant foods like tomatoes a(n) ____ is equivalent to a single program created using visual studio. How do either of the Declarations (of Men OR of Women) provideevidence for the ideas of gender and education as demonstrated inthe "Enlightenment Thinking "? If the cross-price elasticity of demand (A,B)for two goods is negative, this tells us that the goods are:A. SubstitutesB. ComplementsC. NormalD. Inferior twice y is at most 29 2.What did Washington say to the nation in his Farewell Address? Cellular respiration is the process of food molecules to obtain energy and it in the form of atp molecules. In right triangle abc, altitude cd is drawn to the hypotenuse. if cd = 10 and ad = 4, then db equals Simplify the expression to a polynomial in standard form:(x 4)(3x + 4x 4) Assume both portfolios A and B are well diversified, that E(rA) = 12.8% and E(rB) = 14.0%. If the economy has only one factor, and A = 1 while B = 1.2, what must be the risk-free rate? Fechter Corporation had the following stockholders equity accounts on January 1, 2020: Common Stock ($5 par) $500,000, Paid-in Capital in Excess of Par Common Stock $200,000, and Retained Earnings $100,000. In 2020, the company had the following treasury stock transactions. Mar. 1 Purchased 5,000 shares at $8 per share. June 1 Sold 1,000 shares at $12 per share. Sept. 1 Sold 2,000 shares at $10 per share. Dec. 1 Sold 1,000 shares at $7 per share. Fechter Corporation uses the cost method of accounting for treasury stock. In 2020, the company reported net income of $30,000. Instructions a. Journalize the treasury stock transactions, and prepare the closing entry at December 31, 2020, for net income. B. Open accounts for (1) Paid-in Capital from Treasury Stock, (2) Treasury Stock, and (3) Retained Earnings. (Post to T-accounts. ) c. Prepare the stockholders equity section for Fechter Corporation at December 31, 2020. willco manufacturing has made the decision to increase output. what will happen to the average total cost as the output increases? What kind of plays did Shakespeare write?A. Shakespeare only wrote tragedies.B. Shakespeare only wrote comedies.C. Shakespeare wrote tragedies, comedies, and histories. The project will be using a company to provide the technicians for a national network upgrade project. The buyer is providing to the prospective seller a greatly detailed description of what the buyer wants the seller to do on the project. What type of document is being provided to the seller Solve for X WILL GIVE BRAINIEST Grizzly bears will eat just about anything. These bears can weigh over 800 pounds (363 kilograms), Body fataccounts for about half of their bulk. They spend nearly half the year sleeping. If people lived like that, they wouldquickly develop health problems leading to heart attacks. Yet these furry mammals rarely have heart illnesses. Infact, their hearts are very healthy. Scientists want to know why some seemingly unhealthy habits do not affectgrizzlies. They hope that the answers will help humans avoid heart disease.The bears are being____.A: examinedB: amusedC: markedD: punishedNO LINKSSS PLS