Consider a business jet of mass 24,000 kg in takeoff when the thrust for each of two engines is 20,000 N.
a) 4,000 N
b) 8,000 N
c) 16,000 N
d) 40,000 N

Answers

Answer 1

This is the total thrust of the engines is d) 40,000 N.

In order to solve this problem, we need to use the formula:

F = m x a where, F = force (thrust), m = mass and a = acceleration

The mass of the business jet is 24,000 kg. Each engine provides a thrust of 20,000 N. Therefore, the total thrust of the engines is:

F = 2 x 20,000 NF = 40,000 N

Thus, the correct option is d) 40,000 N. This is the total thrust of the engines

Jet engines work by sucking in air through a fan, compressing it, mixing it with fuel, burning it to cause a rapid expansion of gases, and then expelling it as exhaust at the back. This exhaust propels the plane forward, creating thrust that moves it through the air. The amount of thrust generated by a jet engine depends on several factors, including the size and design of the engine, the fuel used, and the altitude and temperature of the air. Airplanes are generally designed to take off with more power than they need to sustain flight. This is because they need to overcome the force of gravity to lift off the ground, and they also need to accelerate quickly to reach a safe flying speed. Once they are airborne, they can reduce the power of the engines to a more efficient level that allows them to conserve fuel and fly longer distances. Jet engines have revolutionized air travel by making it faster, safer, and more convenient. They have enabled planes to fly higher, faster, and farther than ever before, and have made it possible for people to travel around the world in a matter of hours rather than days or weeks. Today, there are many different types of jet engines used in various applications, including commercial airliners, military jets, and private business jets.

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Related Questions

A gas at 5 atm of pressure is compressed into a new 3 L flask, which raised the pressure to 9 atm. What was the volume of the gas before it was compressed? P1 = V1 = P2 = V2 =]

Answers

The initial volume of gas before compression was 5.4 liters.

To solve this problem, we can use the laws of gases, specifically Boyle's law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. Mathematically, Boyle's law can be expressed as:

P1V1 = P2V2 where P1 and V1 are the initial pressure and volume of the gas, respectively, and P2 and V2 are the final pressure and volume of the gas, respectively.

Using this formula, we can find the initial volume V1 as follows:

P1V1 = P2V2

5atm * V1 = 9atm * 3L

V1 = (9atm * 3L) / 5atm

V1 = 5.4L

The initial volume of gas before compression was therefore 5.4 liters.

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Which of the following charts correctly compares plant and animal cells?

Answers

Answer:

Wheres the charts??

Explanation:

I need the charts so I can help

Classify the three phases of matter according to their
densities, and interpret density differences.

Answers

Answer:

Well, the densities of the condensed phases, solids, and liquids, are more or less constant...

Explanation:

...and not subject to change. The condensed phases are largely incompressible. On the other hand, the density of the gaseous phase is highly variable...and is a state function of temperature, pressure, volume, and amount of gas... And gaseous phases should have an intrinsically low density in comparison to solid and liquid phases...

Solids are denser than liquids and a liquid is denser than gas while gases have the lowest density of the three phases of matter.

What are the states of matter?

The particles of a solid substance are placed very close to each other. The attraction forces between the atoms within a solid are very high. This causes to the particles be immobile. The solids have a definite physical shape and finite and controlled volume. The density of the solids is highest in comparison to other states of matter.

Liquids in comparison to solids have relatively lower forces of attraction between particles. This provides the liquid to exist without definite geometry. The liquid has a definite volume and density smaller than solids.

Gases have the weakest forces of attraction between them. They do not have definite volumes and molecules are spread in large volumes. Therefore gases have the least density in comparison to other states of matter.

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Why are circuit breakers and fuses important?

Answers

Answer:

A fuse and circuit breaker both serve to protect an overloaded electrical circuit by interrupting the continuity, or the flow of electricity. ... Fuses tend to be quicker to interrupt the flow of power, but must be replaced after they melt, while circuit breakers can usually simply be reset.

What happens to distance and velocity if the time to fall increases or decreases?

Answers

In free-fall motion the velocity is given by the following equation of motion:

\(v=v_0-gt\)

Where:

\(\begin{gathered} v=\text{ velocity} \\ g=\text{ acceleration of gravity} \\ t=\text{ time} \end{gathered}\)

Therefore, the velocity increases linearly with time. This happens if the object encounters no air resistance. In the case that there is air resistance the object will reach a terminal velocity.

In the case of distance, this is given by the following equation:

\(s=v_0t-\frac{1}{2}gt^2_{}\)

This means that the distance increases with time following a parabolic function.

an uneven arrangement of electrons and protons on a circular arc of radius with angles what are the magnitude and direction of the net electric field produced at the center of the axis

Answers

When there is an uneven arrangement of electrons and protons on a circular arc of radius, the net electric field produced at the center of the axis will depend on the magnitude and distribution of the charges.

The net electric field at the center of the axis is given by the vector sum of the electric fields produced by each individual charge. The magnitude of the net electric field is given by Coulomb's law. The direction of the net electric field is given by the direction of the vector sum of the electric fields.

To calculate the magnitude and direction of the net electric field, it is necessary to know the magnitudes and locations of the charges on the circular arc, as well as the distance from the center of the axis to the charges.

It's also important to note that this is a complex calculation and it would require a detailed knowledge of the charge distribution and the geometry of the circular arc to make a precise calculation.

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Calculate acceleration of a turtle going from 0.3 m/s to 0.7 m/s in 30 seconds.

Answers

Answer:

acceleration = 0.013 m/s²

Explanation:

formula for acceleration is

a = (v-u) / t

a= (0.7-0.3) / 30

= 0.013

The acceleration of a turtle going from 0.3 m/s to 0.7 m/s in 30 seconds is 0.0133m/s²

Acceleration is defined as the change in velocity of a body with respect to time. Mathematically:

\(a=\frac{v-u}{t}\)

v is the final speed = 0.7m/s

u is the initial speed = 0.3m/s

t is the time taken = 30seconds

Substitute the given values into the formula:

\(a=\frac{0.7-0.3}{30}\\a=\frac{0.4}{30}\\a = 0.0133m/s^2\)

Hence the acceleration of a turtle going from 0.3 m/s to 0.7 m/s in 30 seconds is 0.0133m/s²

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A diffraction grating with 750 slits/mm is illuminated by light that gives a first order diffraction angle of 34 degrees. What is the wavelength of the light?

Answers

The wavelength of the light is approximately 563 nm.

How to calculated wavelength ?

The formula to calculate the wavelength of light diffracted by a grating is given by:

λ = d sinθ / m

where λ is the wavelength of light, d is the slit spacing (the inverse of the number of slits per unit length), θ is the diffraction angle, and m is the order of diffraction.

Substituting the given values, we get:

λ = (1/750) mm x sin(34°) / 1

λ = 5.63 × 10⁻⁷m

Therefore, the wavelength of the light is approximately 563 nm.

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What is the magnitude of the acceleration of a proton that is 0.70 cm from the center of the bead?

Answers

The acceleration of the proton by using Coulomb's law is 2.806 m/s²

The acceleration of a proton can be defined by using coulombs force and centripetal acceleration. The value of coulomb force is

Fc = k.q1.q2 / d²

where Fc is coulomb force, k is Coulomb's constant, q is charge and d is distance.

Centrifugal force will also same as coulomb force, which can be determined as

F = m.a

where F is centrifugal force, m is mass and a is acceleration.

From the question above, we know that:

q1 = q2 = e = 1.602176634×10‾¹⁹ C

k = 8.988×10⁹ N⋅m²⋅C‾²

m = 1.673 x 10‾²⁴ kg

d = 7 x 10‾³ m

By combining these equations, we get

F = Fc

m.a = k.q1.q2 / d²

a = k.e² / m.d²

Substitute the parameter

a = 8.988×10⁹ . (1.6×10‾¹⁹)² / ( 1.673 x 10‾²⁴ . ( 7 x 10‾³ )² )

a = 2.806 m/s²

Hence, the acceleration of the proton by using Coulomb's law is 2.806 m/s²

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two long, parallel wires are separated by 3.93 cm and carry currents of 1.71 a and 3.17 a , respectively. find the magnitude of the magnetic force that acts on a 4.27 m length of either wire.

Answers

The magnitude of the magnetic force that acts on a 4.27 m length of two long, parallel wires are separated by 3.93 cm and carry currents of 1.71 A and 3.17 A is 0.047 N.

To find the magnitude of the magnetic force that acts on a 4.27 m length of either wire, we can use the formula:

F = μ₀ × I₁ × I₂ × L / (2πd)

where F is the magnetic force, μ₀ is the permeability constant (4π x 10⁻⁷ T × m/A), I₁ and I₂ are the currents in the two wires, L is the length of the wire segment, and d is the distance between the wires.

Plugging in the given values, we get:

F = (4π x 10⁻⁷ T× m/A) × 1.71 A × 3.17 A × 4.27 m / (2π × 0.0393 m)

F = 0.047 N

Therefore, the magnitude of the magnetic force that acts on a 4.27 m length of either wire is 0.047 N.

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Two identical blocks are attached to the same massless rope, which is strung around two massless, frictionless pulleys. A massless scale is connected to the same rope and measures the tension in the rope. The two identical blocks are released from the rest. The experiment is then repeated with two new blocks, with masses m1 and m2. When they are released from rest, the system remains at rest, and the scale measures the same tension as in the previous experiment. Find m1 and m2 in terms of m.

Answers

Answer:

The value of mass 1, m1= 6/5m

The value of mass 2, m2= 3/5m

Explanation:

case 1:

here tension and the acceleration will be:

for m1;

mg-T=ma2mg - 2T = 2ma  .....1.

for m2:

2T-mg = ma/2 ..... 2.

adding the both equations,

2mg - 2T + 2T-mg = 2ma + ma/2

a = 2/5 g

putting the value of a into the equation 1.

mg - T = m* (2/5)g

T = 3/5 ( mg )

now

case 2:

The two identical blocks are released from the rest, the tension remains the same as the case 1.

so,

for m1:

2T-m2g=0

for m2:

2m2g - 2T =0

adding both equations we get,

2T-m2g + 2m2g - 2T = 0

m2 = m1 / 2

T = m1*g / 2

here we know that

T (case1) = T (case2)

3/5 ( mg ) = m1*g / 2

m1 = 6/5 m

hence

m2 = 3/5 m

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A 7. 50 kg bowling ball moving 6. 42 m/s strikes a 1. 60 kg bowling pin at rest. After, the ball moves 5. 43 M/S at a 12. 0° angle. What is the x-component of the pin's final velocity? Please HELP! I need the answer for this question as soon as possible!

Answers

the x-component of the pin's final velocity is 5.2 M/S

FULL SOLUTION BELOW THE IMAGE.

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A 7. 50 kg bowling ball moving 6. 42 m/s strikes a 1. 60 kg bowling pin at rest. After, the ball moves

The required  x-component of the pin's final velocity is 5.2 M/S

What is velocity?

Velocity characterizes the bearing of the development of the body or the article. Speed is basically a scalar amount. Speed is basically a vector amount. It is the pace of progress of distance. It is the pace of progress of uprooting.

According to question:

We have,

mass(m) = 7.5 kg, initial velocity(u) = 6.42 m/s

final velocity(v) = 5.43(cos12°i + sin12°j) m/s

So, conservation of momentum,

7.5(6.42i) = 7.5(5.43(cos12°i + sin12°j) m/s) + 1.6 Vp

Vp = 5.2i - 5.292j

x - component = 5.2 m/s

y - component = 5.292 m/s

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77. The first law of motion applies to
a. Only objects that are moving
b. Only objects that are not moving
C. All objects whether moving or not
No obiect, whether moving or not

Answers

In the first law, an object will not change its motion unless a force acts on it. So I think the answer is A. Only objects that are moving.

. A boy wishes to make a catapult out of a rubber band of width 9mm and thickness 1.55mm. Determine the length of the band that he must use so that when he stretches it by 0.25 of its natural length and releases it the velocity of pebble of mass 0.006kg will be 30m/s. Take young modulus of the rubber to be 4×10^7 N/m^2 ​

Answers

The length of the rubber band that the boy must use is 0.024 m or 24 mm.

What will be the length of the rubber required?

To determine the length of the rubber band, we can use the formula for the potential energy stored in a stretched spring, which is also applicable to a stretched rubber band:

U = 1/2 kx²

where U is the potential energy stored in the rubber band, k is the spring constant (or in this case, the rubber band constant), and x is the displacement of the rubber band from its natural length.

Since the rubber band is stretched by 0.25 of its natural length, the displacement x is 0.25 times the natural length of the rubber band.

We can solve for the rubber band constant k by using the formula for the velocity of a projectile launched by a spring (or in this case, a rubber band):

v = √(2mk/M)

where v is the velocity of the projectile, m is the mass of the rubber band, M is the mass of the projectile, and k is the spring constant. We can rearrange this equation to solve for k:

k = (v² M) / (2 m)

We can now combine the two equations to solve for the length of the rubber band, L:

U = 1/2 k x²

U = 1/2 ((v² M) / (2 m)) (0.25 L)²

U = (v² M L²) / (32 m)

The potential energy stored in the rubber band must be equal to the kinetic energy of the projectile when it is launched:

U = 1/2 M v²

(v² M L²) / (32 m) = 1/2 M v²

L = ((16 m v²) / (k M))

L = ((16 m v²) / ((v² M) / (2 m) M))

L = √(32 m^2 / M)

L = (0.032 M)

Substituting the given values, we get:

L = √(0.032 * 0.006)

L = 0.024 m

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Q3. A space probe is traveling in outer space with a momentum that has a magnitude
of . A retrorocket is fired to slow down the probe. It applies a force to
the probe that has a magnitude of and a direction opposite to the probe’s
motion. It fires for a period of 12 s. Determine the momentum of the probe after the
retrorocket ceases to fire

Answers

The momentum of the probe after the retrorocket ceases to fire is 9.9 * 10^7 Kg m/s

What is the momentum?

We know that the momentum of an object has to do with the product of the mass and the velocity of an object. The momentum of an object is a vector quantity and the direction of the momentum is the direction of the velocity of the object that is in motion.

According to the Newton second law of motion, we know that the rate of change of the momentum is equal to the impressed force that is acting on the body.

We know that;

\(F_{t}\) = \(p_{f}\) -\(p_{i}\)

F = force

t = time taken

\(p_{f}\)= final velocity

\(p_{i}\) = initial velocity

\(p_{f}\) = \(F_{t}\)  + -\(p_{i}\)

\(p_{f}\) = (2.0 * 10^6 * 12 s) + 7.5 * 10^7

\(p_{f}\)  = 2.4 * 10^7 + 7.5 * 10^7

\(p_{f}\)  = 9.9 * 10^7 Kg m/s

Hence, the momentum of the retrorocket is 9.9 * 10^7 Kg m/s.

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Missing parts;

A  space probe is traveling in outer space with a momentum that has a magnitude of  7.5 * 10^7 kgm/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 2.0  * 10^6 N and a direction opposite to the probe's motion. It fires for a period of 12 s. Determine the momentum of the probe after the retrorocket ceases fire.

Which would require the greater energy; slowing down of the orbital speed of the Earth so it crashes into the sun, or speeding up the orbital speed of the Earth so it escapes the sun

Answers

Answer: Speeding up the orbital speed of earth so it escapes the sun require the greater energy.

Explanation: To find the answer, we need to know more about the Orbital and escape velocities.

What is Orbital and Escape velocity?Orbital velocity can be defined as the minimum velocity required to put the satellite in its orbit around the earth.The expression for orbital velocity near to the surface of earth will be,

                   \(V_o=\sqrt{gR}\)

Escape velocity can be defined as the minimum velocity with which a body must be projected from the surface of earth, so that it escapes from the gravitational field of earth.The expression for orbital velocity will be,

                    \(V_e=\sqrt{2gR}\)

If we want to get into the sun, we want to slow down almost completely, so that your speed relative to the sun became almost zero.We need about twice the raw speed to go to the sun than to leave the sun.

Thus, we can conclude that, the speeding up the orbital speed of earth so it escapes the sun require the greater energy.

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A 15.0 cm object is 12.0 cm from a convex mirror that has a focal length of -6.0 cm. What is the height of the image produced by the mirror?

–5.0 cm
7.5 cm
-7.5 cm
5.0 cm

Answers

The answer is -7.5cm

Answer:

-7.5

Explanation:

edge 2021

Please help thanks
Most wind erosion is caused by _____.

1. saltation
2. abrasion
3. traction
4. plucking

Answers

Number 1 !!!!!!!!!!!!!!!!!

Going down hill with no friction,what happens to total energy?

Going down hill with no friction,what happens to total energy?

Answers

Answer:

Decreases I believe

Explanation:

I'm sorry if it isn't and I have failed you

An object of mass 75 Kg is taken to moon, what will be its weight?(freefall acceleration on moon =1.6 m/s2)

Answers

Answer:

120 Newtons

Explanation:

Weight of an object is given by the relation

W = mg

where

W = weight

m = mass of the object

g = gravitational force or freefall acceleration

Given the numbers:
m = 75 kg

g = 1.6 m/s²

W = 75 x 16 = 120 kg m/s² or 120 Newtons

definition of motion?

Answers

Answer: The action of something moving or being moved

Explanation:


Answer:
The act or process of changing position or place.

Example:
Wind.
A ball being thrown.
Someone running.
A fish swimming.

Example in a sentence:

Raindrops fell as if in slow motion, and lightning stayed, brighter than the midday sun.

pls help me plssssss​

pls help me plssssss

Answers

Answer:

It can cause humans to get sick. And it affects our health

Explanation:

Answer:

Pollution can be harmful to humans since pollution can cause a very negative impact on the human health.
If humans are to exposed to pollution it can cause a lot of diseases as well as lung cancer since we are constantly inhaling it, but there is no way to avoid it since it is already spread out into the environment.

Explanation:

Hope this helps!!

An astronaut is said to be weightlessness when he\she travels in a satellite. Does it mean that the earth does not attract him\her?

Answers

Answer:

Explanation:

The sense of weightlessness in orbiting satellite is because of the lack of any contact-forces. ... Thus, both the astronaut and the satellite have the same value of g, which is again equal to the centripetal acceleration of the satellite. These two neutralize each other, causing everything to appear weightless.

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On a dry winter day, if you scuff your feet across a carpet, you build up a charge and get a shock when you touch a metal doorknob. In a dark room you can actually see a spark about 2 cm long. Air breaks down at a field strength of 3 × 10^6 N/C. How much charge have you built up? As- sume that just before the spark occurs, all the charge is in your finger, drawn there by in- duction due to the proximity of the doorknob. Approximate your fingertip as a sphere of di- ameter 1.42 cm, and assume that there is an equal amount of charge on the doorknob 2 cm away. Answer in units of C How many electrons does this correspond to? The elemental charge is 1.60218 × 10-19 C.

Answers

The number of electrons that corresponds to the number of charges is 2.71 × 10¹⁰ electrons.

How much charge have you built up?

The breakdown field strength of air is 3 × 10⁶ N/C, and the distance between the fingertip and the doorknob is 2 cm, so the electric field between the two is given by:

E = 3 × 10⁶ N/C

The electric field causes the charge on the fingertip to be drawn towards the doorknob, so we can calculate the charge on the fingertip using the formula:

q = 4π ε_0 x Er²

where;

r is the radius of the fingertip (0.71 cm) and

ε_0 is the permittivity of free space (8.854 × 10^-12 C^2/Nm²).

q = 4  x π  x 8.854 × 10⁻¹² x 3 × 10⁶  x  0.71²

q = 2.17 × 10⁻⁸ C

The charge on the doorknob is equal and opposite to the charge on the fingertip, so the total charge on both is calculated as;

Q_total =  2  x 2.17 × 10⁻⁸ C

= 4.34 × 10⁻⁸ C.

The number of electrons is calculated as follows;

number of electrons = q / e

where;

e is the elementary charge (1.60218 × 10⁻¹⁹ C).

number of electrons = ( 4.34 × 10⁻⁸ C / 1.60218 × ⁻¹⁹ C )

number of electrons = 2.71 × 10¹⁰ electrons

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What is a truck's acceleration if the net external force on the truck is 560 N and it has a total of mass of 1000 kg?

What is a truck's acceleration if the net external force on the truck is 560 N and it has a total of

Answers

Answer:

Acceleration of Truck = 0.56 m/s²

Explanation:

Given information:

Mass of truck = 1,000 kilogram

Net force applied by Truck = 560 N

Find:

Acceleration of Truck

Computation:

Force = Mass x Acceleration

Net force applied by Truck = Mass of truck x Acceleration of Truck

560 = 1,000 x Acceleration of Truck

Acceleration of Truck = 560 / 1,000

Acceleration of Truck = 0.56 m/s²

which type of material is the best sound absorber?
a. glass
b. wood
c. concrete
d. carpet​

Answers

Explanation:

Glass is the best sound absorber material.

Which of the following was NOT a department in Washington's first cabinet?
A. Secretary of State
B. Secretary of Homeland Security
C. Secretary of War
D. Secretary of Treasury

Answers

Answer:

I believe its C: Secretary of War. I hope this helped :)

Explanation:

Secretary of Homeland Security was not a department in Washington's first cabinet. So, the correct option is B.

What is Washington's cabinet?

George Washington created the nation's first cabinet, made up of the president's most trusted advisers, where advisers advise the president on laws, taxes, foreign affairs, defense, and other important issues on how to govern the United States.

George Washington's first cabinet was consists of attorney and postmaster generals and secretaries of state, treasury, and war. This cabinets included four original members which are as follows: Secretary of State Thomas Jefferson, Secretary of Treasury Alexander Hamilton, Secretary of War Henry Knox, and Attorney General Edmund Randolph.

Therefore, the correct option is B.

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How can sand dunes be re-built?


PLEASE HELP ME

Answers

Sand dunes can be re-built through a natural process called sand dune restoration or artificial methods implemented by humans. Here are some common approaches:

Sand fencing: Erecting sand fences helps trap and retain wind-blown sand, allowing it to accumulate and form dunes. The fences are typically made of wooden or synthetic materials and are placed parallel to the prevailing wind direction.

Vegetation planting: Planting native dune grasses and other vegetation can stabilize the sand and create suitable conditions for dune formation. The plants help bind the sand together with their roots and provide additional protection against wind erosion.

Sand nourishment: Importing and placing additional sand onto eroded dune areas can help restore and rebuild dunes. The sand should be compatible with the existing beach system and contain the appropriate grain size.

Dune stabilization structures: Constructing physical structures such as sandbag revetments, geotextile tubes, or rock walls can help protect and stabilize dune systems. These structures prevent erosion and promote sand deposition, leading to dune formation over time.

Beach nourishment: Enhancing the beach with additional sand can contribute to the development and maintenance of dunes. This method involves replenishing sand along the shoreline and allowing natural processes, including wind and vegetation, to shape the sand into dunes.

Coastal management and planning: Implementing coastal management strategies that consider the natural dynamics of sand movement and erosion can help protect existing dunes and ensure their long-term stability. This includes regulating development, preserving natural habitats, and managing coastal processes.

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Neon has 10 electrons; two in the inner level and 8 in its outermost level. Will neon form bonds with other atoms?​

Answers

Answer:

no

Explanation:

this is because its valency shell is full so it wont want any other electrons in its valence shell.

What’s the mass of the continent?

Whats the mass of the continent?

Answers

Answer:

Assume that the north american continent can be respanterd by a slab of rock 4000 km on a side and 30 km deep and that the rock

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What does the well-doer call for in the state newspaper? a )pieces glorifying the united state that will be included in the integral b)artwork to show the outer space natives what the united state looks like c)volunteers to travel in the integral, who will meet and conquer new life d)songs and journals that will teach the alien life how to communicate with the integral passengers The measure of each edge length of a unit cube is? i really need help on this. 50 points Read this excerpt from paragraph 13 in the passage: He stayed that way for a long time and when he aroused himself and again looked out of the car window the town of Winesburg had disappeared and his life there had become but a background on which to paint the dreams of his manhood. How do the underlined words shape the theme of the story? A. They suggest that the character is not mature enough to change. B. They demonstrate that the character has a difficult relationship with his father. C. They imply that the character is experiencing grief and loss. D. They show that the character is heading to a new phase in life. Blue crabs are known to have a body length that follows a normal distribution with a mean of 9 inches and a standard deviation of 3.5 inches.d. A fisherman wants to go out and catch 2 blue crabs. What is the probability that BOTH crabs are under 10 inches? (Hint: consider that the length of any one blue crab is independent of the length of another blue crab) (input your answer in % form without the % sign. for example, if you get .123 or 12.3% input 12.3) Discuss how the Parthenons design relates to at least four of the artistic principles explored in this chapter: scale, scale and meaning, hierarchical scale, distorted scale, proportion, human proportion, the Golden Section, and proportional ratios. City planners want to construct a bike path perpendicular to Lorne Lane at point P. An equation for the Lorne Lane line is y=-(4)/(5)x. Find an equation for the line for the bike path. when planning for an investment that will extend over several years, the ability to predict how the results of the investment will be taxed is important. this statement is an example of what two intergers does 19.2 come in between One of these is NOT an example of prose fiction Please answer the following question below:1) Explain why performance management is a part of amultinational's formal control. Give some examples Which scenario is an example of plagiarism? what is the area of the following circle? Read the excerpt written by James Madison in Federalist #51. If men were angels, no government would be necessary. If angels were to govern men, neither external nor internal controls on government would be necessary. In framing a government which is to be administered by men over men, the great difficulty lies in this: You must first enable the government to control the governed; and in the next place, oblige it to control itself. This argument supports which principle incorporated into the U.S. Constitution? anarchy federalism checks and balances popular sovereignty according to a major credit card company, the mean outstanding credit card debt of college undergraduates was $2,683 in 2006, with a standard deviation of $40. what test statistic is calcuated for this scenario? cite examples of actions taken in reaction to the perceived threat of radicals and communists during the red scare. What does T pair with if a square piece of side 3 cm is cut from a rectangular sheet of paper 6 cm long and 4 cm wide, area of remaining sheet of paper is A package of 6 pairs of insulated costs $38.94. What is the unit price of the pairs of ? Force exerted on a body changes it's