suppose you have two parallel conducting plates that are separated by 2.9 mm

Answers

Answer 1

In the given scenario, the two conducting plates are separated by a distance of 2.9 mm. Therefore, the value of d in the capacitance equation would be 2.9 x 10^-3 m.

The permittivity of the medium between the two plates depends on the material between the plates. If the material is air, then the permittivity value can be taken as ε0, which is the permittivity of free space and has a value of approximately 8.85 x 10^-12 F/m.

The area of the plates can be calculated using the dimensions provided. Let's assume that the plates are rectangular in shape, with a length of 20 cm (0.2 m) and a width of 15 cm (0.15 m). Therefore, the area of each plate would be:

A = (0.2 m) x (0.15 m) = 0.03 m^2

Now we can use the capacitance equation to calculate the capacitance of each plate:

C = εA/d = (8.85 x 10^-12 F/m) x (0.03 m^2) / (2.9 x 10^-3 m) = 9.18 x 10^-11 F

Since the two plates are in parallel, the total capacitance of the system would be the sum of the capacitance of each individual plate. Therefore, the total capacitance would be:

Ctotal = C1 + C2 = 2 x (9.18 x 10^-11 F) = 1.84 x 10^-10 F

Therefore, the two parallel conducting plates separated by 2.9 mm have a total capacitance of 1.84 x 10^-10 F.

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Related Questions

an object is placed 6.0 cm in front of a convex mirror with a radius of curvature of 16.0 cm. which of the following statements describes the image? select one: a. the image is upright and 3.4 cm in front of the mirror. b. none of the above c. the image is inverted and 3.4 cm behind the mirror. d. the image is upright and 3.4 cm behind the mirror.

Answers

The image is inverted and 3.4 cm behind the mirror. A convex mirror is a curved mirror that bulges outward, and it has a negative focal length. When an object is placed in front of a convex mirror, its image is formed behind the mirror. The image is smaller and upright, meaning it is not flipped horizontally. Option (c) is the correct answer.

To determine location of the image, the mirror equation can be used:

\(1/f = 1/do + 1/di\)

Substituting the given values into the equation yields:

\(1/-8 = 1/6 + 1/di\)

Solving for di, we get:

di = -3.4 cm

The negative sign indicates that the image is formed behind the mirror, and the magnitude indicates the distance between the image and the mirror. Therefore, option (c) is correct.

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Hideki had normal vision for most of his life, but now that he is in his 60s, he has started to have difficulty focusing on near objects. He went to an optometrist, who explained that his vision problem was the result of the lenses in his eyes losing elasticity due to aging. Which condition does Hideki have

Answers

Answer:

He is suffering from hypermetropia.

Explanation:

There are some defects of vision.

Longsightedness of hypermetropia : It is the defect of vision in which the person is not able to see the nearby objects clearly but can see the far off objects clearly. This is due to the elongation of size of eye ball. It is cured by using convex lens of suitable focal length.

Nearsightedness or Myopia : It is the defect of vision in which a person is not able to see the far off objects clearly but can see the nearby objects clearly. It is due to the contraction in the size of eye ball. It is cured by using concave lens of suitable focal length.

So, Hideki is suffering from hypermetropia. So, he should use the convex lens of suitable focal length.  

the wavelength of light from a distant galaxy is shifted from 656 nm to 734 nm. what is the approximate speed of the galaxy (relative to ours) in terms of the speed of light? is the galaxy moving toward us or moving away from us?

Answers

The observed shift in the wavelength of light from a distant galaxy is known as the redshift effect. This effect is caused by the Doppler effect, which occurs when an object is moving away or towards an observer. The redshift effect indicates that the galaxy is moving away from us, as the wavelength of light has been stretched and shifted towards the red end of the spectrum.

To calculate the approximate speed of the galaxy (relative to ours) in terms of the speed of light, we can use the formula for the Doppler effect:

Δλ/λ = v/c

where Δλ is the change in wavelength, λ is the original wavelength, v is the velocity of the galaxy, and c is the speed of light.

In this case, Δλ = 78 nm (734 nm - 656 nm) and λ = 656 nm.

Therefore, we can solve for v/c:

v/c = Δλ/λ = 78 nm / 656 nm = 0.1186

This means that the galaxy is moving at approximately 11.86% of the speed of light relative to us.

Furthermore, since the wavelength of light is shifted towards the red end of the spectrum, we can conclude that the galaxy is moving away from us. This observation supports the expanding universe theory, which states that the universe is constantly expanding, and galaxies are moving away from each other at an accelerating rate.

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The first Tacoma Narrows Bridge in Washington crossed over a strait in Puget Sound. At the time the suspension bridge was built, construction workers noticed that it moved up and down in the wind. Measures to stop the bridge's movement were ineffective, but the bridge was opened to the public on July 1, 1940. The bridge collapsed on November 7, 1940. Luckily, no people were seriously injured. Determine which technological design criteria the Tacoma Narrows Bridge did and did not meet. Explain your answer.

Answers

Answer:

Follows are the solution to this question:

Explanation:

When the Tacoma Narrows Bridge was built, it may not have met the technical design requirements and when it didn't solve the problem for long so, the bridge will be unsustainable and fell. or we can say that Due to an aeroelastic flutter caused by high winds, the bridge collapsed. The bridge oscillated rapidly and ultimately dropped. Its collapse of the bridge has lasting impacts on science and technology.

Answer:

When the Tacoma Narrows Bridge was built, it may not have met the technical design requirements and when it didn't solve the problem for long so, the bridge will be unsustainable and fell. or we can say that Due to an aeroelastic flutter caused by high winds, the bridge collapsed. The bridge oscillated rapidly and ultimately dropped. Its collapse of the bridge has lasting impacts on science and technology.

A man stands on a stationary boat. He then jumps out of the boat onto the jetty.The boat moves away from the jetty as he jumps.
State the physics principle that is involved in the movement of the boat as the man jumps onto the jetty

Answers

The principle involved is the conservation of momentum, where the boat moves in the opposite direction to maintain total momentum zero.

The physics principle involved in the movement of the boat as the man jumps onto the jetty is the principle of conservation of momentum. According to this principle, the total momentum of an isolated system remains constant if no external forces act on it.

In this scenario, the boat and the man can be considered as an isolated system since there are no external forces acting on them. Initially, when the man is standing on the boat, the system is at rest, and the total momentum is zero.

When the man jumps off the boat and onto the jetty, he exerts a force on the boat in one direction. According to Newton's third law of motion, for every action, there is an equal and opposite reaction. As the man pushes off the boat, the boat experiences an equal and opposite force that propels it in the opposite direction.

Due to the conservation of momentum, the momentum gained by the boat in one direction is equal to the momentum lost by the man in the opposite direction. As a result, the boat moves away from the jetty, exhibiting a backward motion.

This principle can be mathematically expressed as:

Initial momentum of the system = Final momentum of the system

Since the initial momentum is zero, the final momentum of the system (including the man and the boat) must also be zero. The momentum gained by the boat ensures that the total momentum of the system remains conserved.

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Alyssa has four different substances: oil, water, sand, and air. She would like to fill four identical balloons with these materials until all of the balloons have the same mass. Which balloon would take up the most space?

Answers

Answer:

not sure but dont give up and dont take advantage of this :)

Explanation:

Answer:

A balloon with air

Explanation:

What is another name for constructive interference?
A. Up
B. Down
C. Reinforcement
D. Cancellation

Answers

C I hope this help bud

The reason type ia supernovae are useful to astronomers for determining distances to other galaxies is that?

Answers

Answer:

Because these supernovae are formed by white dwarfs that explode when they reach a uniform accreted mass, the supernova peak luminosity is thought to be very consistant. This consistancy allows these supernovae to be used as standard candles to measure distances.

The reading on your electric bill shows the amount of power you have used in a month. True False

Answers

Answer:

Explanation:

True   it is usually billed monthly and will show the kilowatt-hrs you used

Ricardo read that it may be unhealthy to eat more than 2,500 mg of table salt (NaCl) in a day. He wants to see how much salt 2,500 mg is, but his scale only weighs in units of grams.

How many grams of salt should he measure out on the scale?
A.
25 g
B.
2.5 g
C.
0.025 g
D.
250 g

Answers

The mass (in grams) Ricardo should measure out on the scale, given that he has 2500 mg is 2.5 g (Option B)

How do i determine the mass Ricardo should measure out?

To obtain the mass that Ricardo should measure out on the scale, we shall convert 2500 milligrams (mg) to grams (g). This is illustrated below:

Mass (in mg) = 2500 mgMass (in g) =?

Conversion scale

1000 mg = 1 g

Therefore

2500 mg = (2500 mg × 1 g) / 1000 mg

2500 mg = 2.5 g

From the above, we can see that 2500 mg is equivalent to 2.5 g

Thus, we can conclude from the above illustration that the mass Ricardo should measure out on the scale is 2.5 g (Option B)

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PLEASE HELP ASAP IM GIVING 10 POINTS AND BRAINLEIST put the measurements in order from largest to smallest. milligram decigram decagram gram kilogram

Answers

Answer:

decigram milligram gram decagram kilogram

[They are both the same passage]
What was Deborah Ashcraft’s motivation for organizing the Canstruction project in 1992? Use at least 2 details from the article to support your answer.

[They are both the same passage] What was Deborah Ashcrafts motivation for organizing the Canstruction
[They are both the same passage] What was Deborah Ashcrafts motivation for organizing the Canstruction

Answers

Answer:

jejeje

Explanation:

jejejejejee

In addition to ozone, what four other greenhouse gases or groups of greenhouse gases are included in nearly all the climate models?

Answers

In addition to ozone, the four other greenhouse gases or groups of greenhouse gases are included in nearly all the climate models are Carbon dioxide, water vapor, and methane, nitrous oxide.

Carbon dioxide, absorbs energy at a variety of wavelengths, a range that overlaps with that of infrared energy. As CO2 soaks up this infrared energy, it vibrates and re-emits the infrared energy back in all directions. About half of that energy goes out into space, and about half of it returns to Earth as heat, contributing to the ‘greenhouse effect.’

As methane is emitted into the air, it reacts in several ways. It reacts and  after oxidization methane forms water vapor and carbon dioxide. So, not only does methane contribute to global warming directly but also, indirectly through the release of carbon dioxide.

Nitrous oxide enhances the greenhouse effect by capturing reradiated infrared radiation from the Earth’s surface and subsequently warming the troposphere . It is chemically inert in the troposphere and stays in the troposphere for about 120 years before moving into the stratosphere where it ultimately leads to destruction of stratospheric ozone.

Water vapor does absorb longwave radiation and radiates it back to the surface, thus contributing to warming.

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A chocolate bar has nutritional energy content of 100KJ. If an 50kg mountain climber eats this chocolate bar and converts it all to potential energy. What altitude(height) can she climb on a mountain using this energy? Consider g=10m/s^2

Answers

Answer:

h = 200 m

Explanation:

The energy content of the chocolate is completely converted to the potential energy of the climber. Therefore:

\(Energy\ of\ Chocolate = Potential\ Energy\\Energy\ of\ Chocolate = mgh\)

where,

m = mass of climber = 50 kg

Energy of Chocolate = 100 KJ = 100000 J

g = acceleration due to gravity = 10 m/s²

h = height = ?

Therefore,

\(100000\ J = (50\ kg)(10\ m/s^2)h\\\\h = \frac{100000\ J}{500\ N}\)

h = 200 m

Select the correct answer. If the resistance remains constant and the voltage doubles, what effect will that have on the power? A. The power will remain the same. B. The power will decrease by a factor of 2. C. The power will decrease by a factor of 4. D. The power will increase by a factor of 2. E. The power will increase by a factor of 4.

Answers

If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)

How do i determine the new power?

The following data were obtained from the question:

Initial power (P₁) = PInitial voltage  (V₁) = VResistance = ConstantNew voltage (V₂) = 2VNew power (P₂) =?

P = V² / R

Resistance is constant, we have

V₁² / P₁ = V₂² / P₂

V² / P = (2V)² / P₂

V² / P = 4V² / P₂

Cross multiply

V² × P₂ = P × 4V²

Divide both side by V²

P₂ = P × 4V² / V²

P₂ = P × 4

From the above, we can conclude that the power will increase by a factor of 4 (option E)

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You rode your 20lb. (9070g) bike to a friend's house, 5km from your house and them returned home a hour later. What is the imperial weight of your bike

Answers

The imperial weight of the bike is approximately 20 lbs.

Imperial units, also known as British Imperial System, are a system of units of measurement used in the United Kingdom and its former colonies.

To convert the weight of the bike from metric to imperial units, we can use the following conversion factors

1 kilogram (kg) = 2.20462 pounds (lbs)

1 pound (lb) = 0.453592 kilograms (kg)

So, to find the imperial weight of the bike, we need to convert the weight of the bike from kilograms to pounds:

9070 g = 9070/1000 kg = 9.07 kg

9.07 kg = 9.07 x 2.20462 lbs

= 19.9996 lbs

≈ 20 lbs

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a pendulum has a period of 2.15 s on earth. what is its period on mars, where the acceleration of gravity is about 0.37 that on earth?

Answers

The total impulse delivered to the ball by the golf club is 3.116 kg m/s.

To calculate the impulse delivered to the ball by the golf club, we can use the impulse-momentum theorem, which states that the impulse delivered to an object is equal to the change in momentum of the object.

First, we need to convert the distance of 455 meters to the initial velocity of the golf ball. We can use the fact that the range of a projectile launched at an angle of 0 degrees is given by:

\(R = (v^2 / g) * sin(2θ)\)

where v is the initial velocity of the ball, g is the acceleration due to gravity, and θ is the launch angle (in this case, 0 degrees).

Since the ball is assumed to be launched at the optimal angle for maximum range, we can set θ = 0 and solve for v:

\(v = sqrt(R * g / sin(2θ)) = sqrt(455 * 9.81 / sin(0)) = 67.77 m/s\)

Next, we can calculate the initial momentum of the ball:

\(p = m * v = 0.046 kg * 67.77 m/s = 3.116 kg m/s\)

Finally, we can use the fact that the club is in contact with the ball for 1/200 of a second to calculate the impulse delivered:

\(I = Δp = mΔv = m(vf - vi) = 0.046 kg * (0 - 67.77 m/s) = -3.116 kg m/s\)

Note that the negative sign indicates that the impulse is in the opposite direction of the initial momentum, which makes sense since the club is delivering a force to the ball in the opposite direction of its motion.

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An aluminum wire has a resistance of 7.50Ω at 30.0∘C. Determine its resistance (in Ω ) at 430∘C. The temperature coefficient of resistivity for aluminum wire is 3.90×10−3(∘C)^−1.

Answers

An aluminum wire has a resistance of 7.50Ω at 30.0∘C, the resistance of the aluminum wire at 430°C is approximately 19.20 Ω.

We may use the temperature-dependent resistance formula to calculate the resistance of the aluminium wire at 430°C:

R2 = R1 * (1 + α * (T2 - T1))

Here, it is given that:

R1 = 7.50 Ω

T1 = 30°C

T2 = 430°C

α = 3.90 × \(10^{(-3)\) °\(C^{(-1)\)

Now,

R2 = R1 * (1 + α * (T2 - T1))

= 7.50 Ω * (1 + (3.90 × \(10^{(-3)\) °\(C^{(-1)\)) * (430°C - 30°C))

Calculating the difference in temperature:

ΔT = T2 - T1

= 430°C - 30°C

= 400°C

R2 = 7.50 Ω * (1 + (3.90 × \(10^{(-3)\) °\(C^{(-1)\)) * (400°C))

= 7.50 Ω * (1 + (3.90 ×  \(10^{(-3)\) °\(C^{(-1)\)) * (400))

= 7.50 Ω * (1 + (3.90 ×  \(10^{(-3)\) °\(C^{(-1)\)) * 400)

= 7.50 Ω * (1 + 1.56)

= 7.50 Ω * 2.56

≈ 19.20 Ω

Thus, the resistance of the aluminum wire at 430°C is approximately 19.20 Ω.

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1) Compare the two beakers that contain water. Which of these
statements is NOT true if the beaker on the left represents an open
system
A)
Evaporation can occur.
B) All the energy remains in the system.
C) Water molecules leave the system.
D) The net movement of molecules is out of the water.

Answers

Answer:

b

Explanation:

b) all energy remains in the system the surface is open which means this is false

An air-filled toroidal solenoid has 390 turns of wire, a mean radius of 15.0 cm , and a cross-sectional area of 5.00 cm2 .
Part A
If the current is 5.40 A , calculate the magnetic field in the solenoid.
B=__T
Part B

Answers

The magnetic field in the air-filled toroidal solenoid, when the current is 5.40 A, is approximately 3.50 × 10⁻³ T.


To calculate the magnetic field (B) in the air-filled toroidal solenoid, we'll use the formula B = μ₀ * n * I, where B is the magnetic field, μ₀ is the permeability of free space (4π × 10⁻⁷ Tm/A), n is the number of turns per unit length, and I is the current. Given that the solenoid has 390 turns of wire, a mean radius (r) of 15.0 cm, and a current (I) of 5.40 A, we first need to find the number of turns per unit length (n).


To do this, we'll calculate the total length of the solenoid (l) using the formula l = 2πr. Converting the radius to meters (0.15 m), we get:
l = 2π(0.15) = 0.94 m
Now, we can calculate n:
n = 390 turns / 0.94 m = 415.96 turns/m
Next, we'll use the formula B = μ₀ * n * I:
B = (4π × 10⁻⁷ Tm/A) * (415.96 turns/m) * (5.40 A)
B = 3.50 × 10⁻³ T

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the gravitational potential energy of an object is due to
a .its mass
b .its acceleration due to gravity
c. its height above the earth' s surface
d .all of these​

Answers

d. all of these

look at the picture to know from where we get this law with application on it

the gravitational potential energy of an object is due toa .its massb .its acceleration due to gravityc.

the broken pieces of the (plates) overlie a ductile layer known as ________

Answers

The broken pieces of the plates overlie a ductile layer known as asthenosphere.

What is plate tectonics?

Plate tectonics is a scientific hypothesis that explains the movement of Earth's lithosphere. Plate tectonics also explains the formation of mountains, volcanoes, and the occurrence of earthquakes. The Earth's lithosphere is composed of the Earth's crust, both continental and oceanic, and the uppermost part of the mantle. The lithosphere is divided into several plates that fit together like a puzzle. These plates are in constant motion, driven by the motion of molten rock in the Earth's mantle.

The plate boundaries can interact with one another in various ways. Divergent plate boundaries are where new lithosphere is created as the plates move apart. At convergent plate boundaries, one plate is forced beneath another. Transform plate boundaries are where plates slide past each other in a sideways movement.

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Which has a greater atomic radius Calcium or Iron?

Answers

Iron has a greater atomic radius than calcium.

This comes from the fact that Iron has more electrons, this in turns means that the it has more shells and then the distance between its nucleos to the outer shells is greater.

What is a hipótesis?

What is a hiptesis?

Answers

Answer:

an educated guess about the solution to the problem.

Explanation:

the hypothesis is is a specific, testable PREDICTION about what you expect to happen in your study.

Does sound tend to bend upward or downward when its speed is less near the ground?

Answers

Explanation:

When the speed of sound near the ground is reduced, (such as on a cold day when the layer of air nearest ground is colder than the air above) the higher speed of the wavefronts above cause a bending of sound toward the ground.

the zinc plate is coated with mercury ​

Answers

Amalgamating is the coating of zinc plate with mercury.

The people who write computer programs

Answers

Answer:

Someone who writes software or programs for computers is called a programmer.

Explanation:


A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110.0 m.
Determine the acceleration of the car.

Answers

Answer: a = 8.10 m/s^2

Explanation:

The car starts at rest, so:

V0= 0m/s

t= 5.21m/s

S = 110.0 m

Using one of the five uniformly accelerated motion formulas

S= V0t + 1/2 at^2

but V0 = 0 m/s

S = 1/2 at^2

a= 2S/ t^2

a = 2(110m)/ (5.21 s)^2

a = 8.10 m/s^2

define ‘Mean Free Path (MFP)’ in Vacuum and explain the correlation of MFP in terms of temperature and pressure.

Answers

The Mean Free Path (MFP) in Vacuum refers to the average distance traveled by a molecule between collisions,

and it is a parameter that describes the collision probability of a particle or molecule with other particles or molecules in a gaseous state.

A molecule travels a distance that is roughly equal to its diameter until it hits another molecule, according to this concept.In vacuum, the Mean Free Path (MFP) of a molecule is given by:

\($$\lambda = \frac{kT}{\sqrt{2}πd^2p}$$\)

Where k is the Boltzmann constant, T is the temperature, d is the diameter of the molecule, and p is the pressure.Mean Free Path (MFP) is inversely related to pressure. As the pressure decreases, the average distance between particles increases, resulting in a longer mean free path.

The MFP and temperature are directly proportional, which means that increasing the temperature increases the mean free path, and decreasing the temperature decreases the mean free path.In a gas, particles travel freely, bouncing into one another and the walls of the container in which they are confined, producing pressure.

The average distance between the molecules is determined by the pressure and temperature of the gas.

When a gas is at low pressure and high temperature, the molecules are more spread out, and they have a greater Mean Free Path (MFP), resulting in less frequent collisions between them.

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Determine the moment at point b using method of section if w=40.3lb/ft Answer:

Answers

Method of section is a significant method of determining forces in members of a structure.

The basic concept of the method of section is to find out the forces acting on the sections by separating them from the rest of the structure.

In this problem, the moment at point b has to be determined using the method of section.

The given weight of the beam is

w = 40.3 lb/ft.

Let's draw the free-body diagram for the given beam:

Free-Body Diagram:

As we can see from the above diagram, the section has been drawn which passes through point b.

We have to determine the moment at point b using this section.

Now, we will write the equation for the moment of the section passing through point b as:

- 12(6) - 4(8) - (20)(12) - (32)(20) - (40.3)(12/2) = 0Mb = 1126.05 lb-ft

the moment at point b is 1126.05 lb-ft.

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Calculate the maximum force in newtons exerted by the blood on an aneurysm, or ballooning, in a major artery, given the maximum blood pressure for this person is 148 mm Hg and the effective area of the aneurysm is 16.0 cm2. Note that this force is great enough to cause further enlargement and subsequently greater force on the ever-thinner vessel wall. Given what you know right now, how would you respond to the question from Dr. Moraga: How did the South American Plate and African Plate move? a local router is configured to limit the bandwidth of guest users connecting to the internet. which of the following best explains the result of this configuration as compared to a configuration in which the router does not limit the bandwidth? responses the amount of time it takes guest users to send and receive large files is likely to decrease. the amount of time it takes guest users to send and receive large files is likely to decrease. the number of packets required for guest users to send and receive data is likely to decrease. the number of packets required for guest users to send and receive data is likely to decrease. guest users will be prevented from having fault-tolerant routing on the internet. guest users will be prevented from having fault-tolerant routing on the internet. guest users will be restricted in the maximum amount of data that they can send and receive per second. How many possible positive and negative zeros will the function have? My little cousin needs help with this can anyone help please. Im busy with my tests and I dont have the time to explain. the inflow of remittances has helped reduce poverty levels in the country, accounting for more than 20% of household income Evaluate the expression in Q on the right side of the formula:Let Q=500; Total Revenues =4.3QWhat might we call the algebraic coefficient "4.3" practically? What might the variable "Q" be if this is a formula for "Total Revenues"? 5. Evaluate the following expression: Let F=5,v=1.5,Q=20; F+vQ According to ________, various economic classes have different degrees of power when it comes to who can make and enforce laws in society.a. C. Wright Millsb. Karl Marxc. Robert Mertond. Emile Durkheim what percentage of the california real estate general fund is set aside emotional, symbolic, and subjective attributes or benefits that are associated with an alternative are each centrosome in animal cells organizes microtubules and contains two _____, which can also form the base of cilia and flagella. According to Stanley Milgram's study involving "shock experiments", ordinary people will ______orders given by someone in a position of power or authority, even if those orders have negative consequences.a. resistb. obeyc. questiond. change PLEASE HELP !!!! QUICKthe wholesale price for a pair of shoes is $4.50 a certain department store marks up the wholesale price by 40%. find the price of the pair of shoes in the department store.round your answer to the nearest cent, as necessary what is the total molar concentration of ions in a 0.90 m al2 (so4)3 solution? view available hint(s)for part a what is the total molar concentration of ions in a 0.90 m al2 (so4)3 solution? a. 1.8 m b. 4.5 m c. 428 g d. 16.0 g what is the value if 2 1/2 (-3.4? statistical literacy (a) if we have a distribution of x values that is more or less mound-shaped and somewhat symmetric, what is the sample size needed to claim that the distribution of sample means x from random samples of that size is approximately normal? (b) if the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x taken from random samples of a given size is normal Which of the following did the French National Assembly not do?a. Eliminate barriers to trade.b. Vote to execute the king.c. Abolish the nobility as a hereditary class.d. Seize church lands.e. Draft a new constitution. Find the average value fave of the function f on the given interval.f(x) = x2/(x3 + 7)2, [1, 1] what was dorothy. not able to do after. the wall street crash Help please & thanksThe function f(t)=5t^2+20t models the approximate height of an object t seconds after it is launched. Which of the following equations correctly shows the quadratic formula being used to determine the number of seconds it will take for the objects to be at a height of 18 feet after launch?