An isolated capacitor with capacitance C = 1 µF has a charge Q = 45 µC on its plates.a) What is the energy stored in the capacitor?Now a conductor is inserted into the capacitor. The thickness of the conductor is 1/3 the distance between the plates of the capacitor and is centered inbetween the plates of the capacitor.b) What is the charge on the plates of the capacitor?c) What is the capacitance of the capacitor with the conductor in place?d) What is the energy stored in the capacitor with the conductor in place?

Answers

Answer 1

Answer:

a) Energy stored in the capacitor, \(E = 1.0125 *10^{-3} J\)

b) Q = 45 µC

c) C' = 1.5 μF

d)  \(E = 6.75 *10^{-4} J\)

Explanation:

Capacitance, C = 1 µF

Charge on the plates, Q = 45 µC

a) Energy stored in the capacitor is given by the formula:

\(E = \frac{Q^2}{2C} \\\\E = \frac{(45 * 10^{-6})^2}{2* 1* 10^{-6}}\\\\E = \frac{2025 * 10^{-6}}{2}\\\\E = 1012.5 *10^{-6}\\\\E = 1.0125 *10^{-3} J\)

b) The charge on the plates of the capacitor will  not change

It will still remains, Q = 45 µC

c)  Electric field is non zero over (1-1/3) = 2/3 of d

From the relation V = Ed,

The voltage has changed by a factor of 2/3

Since the capacitance is given as C = Q/V  

The new capacitance with the conductor in place, C' = (3/2) C

C' = (3/2) * 1μF

C' = 1.5 μF

d) Energy stored in the capacitor with the conductor in place

\(E = \frac{Q^2}{2C} \\\\E = \frac{(45 * 10^{-6})^2}{2* 1.5* 10^{-6}}\\\\E = \frac{2025 * 10^{-6}}{3}\\\\E = 675 *10^{-6}\\\\E = 6.75 *10^{-4} J\)


Related Questions

Assume that, when we walk, in addition to a fluctuating vertical force, we exert a periodic lateral force of amplitude 25 NN at a frequency of about 1 HzHz. Given that the mass of the bridge is about 2000 kgkg per linear meter, how many people were walking along the 144-mm-long central span of the bridge at one time, when an oscillation amplitude of 75 mmmm was observed in that section of the bridge

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

Explanation:

From the question we are told

   The amplitude of the lateral  force is  \(F = 25 \ N\)

   The frequency is   \(f = 1 \ Hz\)

   The mass of the bridge per unit length is  \(\mu = 2000 \ kg /m\)

    The length of the central span is  \(d = 144 m\)

     The oscillation amplitude of the section  considered at the time considered is  \(A = 75 \ mm = 0.075 \ m\)

      The time taken for the undriven oscillation to decay to \(\frac{1}{e}\)  of its original value is  t = 6T

Generally the mass of the section considered is mathematically represented as

            \(m = \mu * d\)

=>        \(m = 2000 * 144\)

=>        \(m = 288000 \ kg\)

Generally the oscillation amplitude of the section after a  time period  t is mathematically represented as

                 \(A(t) = A_o e^{-\frac{bt}{2m} }\)

Here b is the damping constant and the \(A_o\) is the amplitude of the section when it was undriven

So from the question  

               \(\frac{A_o}{e} = A_o e^{-\frac{b6T}{2m} }\)

=>            \(\frac{1}{e} =e^{-\frac{b6T}{2m} }\)

=>          \(e^{-1} =e^{-\frac{b6T}{2m} }\)

=>           \(-\frac{3T b}{m} = -1\)

=>         \(b = \frac{m}{3T}\)

Generally the amplitude of the section considered is mathematically represented as

           \(A = \frac{n * F }{ b * 2 \pi }\)

=>       \(A = \frac{n * F }{ \frac{m}{3T} * 2 \pi }\)

=>       \(n = A * \frac{m}{3} * \frac{2\pi}{25}\)

=>       \(n = 0.075 * \frac{288000}{3} * \frac{2* 3.142 }{25}\)

=>       \(n = 1810 \ people\)

Assume that, when we walk, in addition to a fluctuating vertical force, we exert a periodic lateral force

Find the acceleration of a car that goes from 16 m/s to 48 m/s in 8 seconds. Help asappp and put units plssss

Answers

Answer:

48 m/s - 16 m/s = 32 m/s

(32 m/s )/ (8 s) = 4 m/

The answer is 0.2. Hope this helps

Find distance between two object of radius 6 cm and 2 cm

Answers

The distance between two objects of radius 6 cm and 2 cm is zero

To find the distance between two objects with radii of 6 cm and 2 cm, we need to consider the center-to-center distance between the objects and subtract the sum of their radii.

Let's denote the radii of the objects as r1 = 6 cm and r2 = 2 cm.

The distance between the centers of the objects can be represented as d = r1 + r2. Adding the radii ensures that we account for the space occupied by both objects.

Substituting the values, we have d = 6 cm + 2 cm = 8 cm.

Now, to find the actual distance between the objects, we subtract the sum of their radii from the center-to-center distance:

Distance = d - (r1 + r2) = 8 cm - (6 cm + 2 cm) = 8 cm - 8 cm = 0 cm.

The resulting distance is 0 cm, indicating that the objects are in direct contact with each other. This means that their surfaces are touching. When the distance between two objects is zero, it implies that they are overlapping or in physical contact. In this case, since the distance is equal to 0 cm, the two objects are touching each other, with their surfaces coming into contact.

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A botanist is measuring plants to determine amount of growth after fertilizer was used. A ruler was used for the measurements. Which type of measurement is being collected?

Question 6 options:

a)

Linear


b)

Volume


c)

Mass


d)

Weight

Answers

Answer:

Hi there!

Your answer is:

A. Linear

Explanation:

Linear measurement is when you measure things in a straight line using tools such as a ruler, yardstick or tape measure. To measure height, they are using a ruler, which is a form of linear measurement!

I hope this helps!

what is borh's postulates for the hydrogen atom​

Answers

Answer:

An atom has a number of stable orbits in which an electron can reside without the emission of radiant energy. ... Each orbit corresponds, to a certain energy level.

Explanation:

Hope it is helpful....

3. Observe: An organelle is a cell structure that performs a specific function. Observe the samples below under the highest magnification. Click the Show labels checkbox to label the organelles. List the organelles and approximate size of the cells in each sample.

Answers

Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.

Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.

The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.

In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.

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Why did Thomson observe two glowing dots when he put neon gas into a
cathode-ray tube?

Answers

Answer:

Electrons accelerated to high velocities travel in straight lines through an empty cathode ray tube and strike the glass wall of the tube, causing excited atoms to fluoresce or glow.

Groups that play a pivotal role in the socialization process are called
A. master statuses.
B. aggregates.
C. secondary groups.
D. primary groups.

Answers

Answer:

Groups that play a pivotal role in the socialization process are called: primary groups.

PLEASE HELP!! Lab: Electromagnetic Induction

PLEASE HELP!! Lab: Electromagnetic Induction

Answers

Answer:

I think this is the answer

Explanation:

PLEASE HELP!! Lab: Electromagnetic Induction

what happened in my room

Answers

Answer:

A GHOST CAME! Booooo!!!!!!

Hah lol

Nan is upset because she has not lost enough weight to buy the new swimsuit that she had wanted, so she imagines herself on the beach having fun with her friends in her current swimsuit. Nan is using mental images to
Group of answer choices

Answers

When the accompanying stimuli are not present, we can alter and reactivate internal representations through mental imagery. This procedure results in the phenomenon known as "seeing with the mind's eye" when it comes to visual mental images. Thus, option B is correct.

What is the use of mental images?

Mental imagery is mostly used to simulate potential future events and "relive" previous experiences. According to this viewpoint, imagery ought to be investigated in a variety of cognitive tasks as well as on its own.

Although it is widely used to enhance physical performance, mental imagery can also benefit tasks that need both cognitive and emotional functioning, such as managing emotions and stress or public speaking.

Therefore, change her feelings. Studies have demonstrated that imaging can promote relaxation in the body and mind. Manage depression, stress, and anxiety are other benefits. Help lessen the agony

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The given question is incomplete. The complete question is given below:

Nan is upset because she has not lost enough weight to buy the new swimsuit that she had wanted, so she imagines herself on the beach having fun with her friends in her current swimsuit. Nan is using mental images to

a.

Prepare for some action.

b.

Change her feelings.

c.

Make a decision.

d.

Aid memory.

I need help on this question!

I need help on this question!

Answers

Answer:

All of these

Explanation:

Have a great day!

Answer:

D

Explanation:

this is because the EMS is arranged according to all these factors, the most dangerous waves are the smallest

Derive, using newtons second law

m1 = 559.5g
m2 = 569.3g
ay = ?
g = ?

a_y=g((m_2-m_1)/(m_2+m_1 ))

Answers

Answer:

Explanation:

convert the mass from g to kg

1 g = 0,001 kg

m1 =559,5 g = 5,595 kg

m2 = 569,3 g = 5,569 kg

Newtons second Law

F = m *a = m * g

g = 10 m/s^2

a_y = g ((m_2 - m_1) / (m_2+m_1))

a_y = 10 m/s^2 * ((5,569kg -5,595kg) / (5,569kg + 5,595kg))

a_y = 10 m/s^2 [(-0,026kg) / 11,164kg]

a_y = 10 m/s^2 (-0,0023)kg

a_y = - 0,023 kg m / s^2

The knee extensors insert on the tibia at an angle of 30 degrees (from the longitudinal axis of the tibia), at a distance of 3 cm from the axis of rotation at the knee. How much force must the knee extensors exert to produce an angular acceleration at the knee of 1 rad/s2 , given a mass of the lower leg and foot of 4.5 kg, and a radius of gyration of 23 cm

Answers

Answer:

the knee extensors must exert 15.87 N

Explanation:

Given the data in the question;

mass m = 4.5 kg

radius of gyration k = 23 cm = 0.23 m

angle ∅ = 30°

∝ = 1 rad/s²

distance of 3 cm from the axis of rotation at the knee r = 3 cm = 0.03 m

using the expression;

ζ = I∝

ζ = mk²∝

we substitute

ζ = 4.5 × (0.23)² × 1

ζ  = 0.23805 N-m

so

from; ζ = rFsin∅

F = ζ / rsin∅

we substitute

F = 0.23805 / (0.03 × sin( 30 ° )

F = 0.23805 / (0.03 × 0.5)

F F = 0.23805 / 0.015

F = 15.87 N

Therefore, the knee extensors must exert 15.87 N

An object of mass m is moving on a horizontal rough surface. At a certain point it has a speed v m/s and it comes to a stop after traveling 32 m. If the coefficient of friction between the object and the surface is 0.40, what is the value of speed v? Use g= 10 m/s?.

Answers

The speed of the object v is 16 m/s.

The mass of the object moving on the horizontal surface is m.

The speed of the object is v m/s.

The coefficient of friction, μ = 0.40

The acceleration due to gravity, g = 10 m/s²

So, the initial velocity is v m/s and the final velocity is 0 m/s.

The total distance traveled by the object is 32 meters.

The formula for force is:

F = ma

Now,

ma = - μmg

a = - μg

a = - 0.40 × 10 = - 4 m/s²

The distance, s = 32 meters

Using the equation of motion,

v² = u² + 2as

0 = v² + 2( - 4 )( 32 )

0 = u² - 256

u² = 256

u = √256 = 16 m/s

Hence, the value of the speed v is 16 m/s.

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Find three consecutive even integers such that the sum
of the squares of the lesser two integers is equal to the
square of the greatest,

Answers

Answer:Hi, Sam!

Okay, so let's call the 3 consecutive even integers, X, X + 2 , X +4

So the sum of the smaller two (X +X + 2) = X + 4 +6

2X +2 = X + 10

X = 8

Therefore,

X = 8

X + 2 = 10

X + 4 + 12

These are your integers

Explanation:

Which one of the following is not a part of the Particle Theory?
1 All matter is made of particles
2 particles move faster when cooled
3 particles move faster when heated
4 particles are attracted to each other​

Answers

The only option that is not a part of the particle theory is, particles move faster when cooled.

What is particle theory of matter?

The particle theory of matter states that all matter consists of tiny particles which are in state of constant motion, colliding with one another and with of the containing vessel.

These theory can be summarized as;

All matter is made of particlesParticles move faster when heatedParticles are attracted to each other​

Thus, the only option that is not a part of the particle theory is, particles move faster when cooled.

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a 70kg man spreads his legs as shown calculate the tripping force​

Answers

This is simply defined as the energy of an object as an attribute of a physical movement

Force

This is simply defined as the energy of an object as an attribute of a physical movement

it is important to note that a tripping for will be a force opposing motion therefore

For a 70kg man trip on a force the for it must me acted upon by a Force

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A body travels a distance of 15m from A to B and then moves a distance of 20m at right angles to
AB. Calculate the total distance travelled and the displacement.

Answers

Total distance travelled is 35m and displacement is 25m.

Distance: Distance is a scalar that expresses the total distance traveled by an object. It's a measure of physical distance that's covered and always good. The distance has nothing to do with the direction, only the magnitude of the change is determined.

Displacement: Displacement is the vector of change in the position of an object. It takes into account the magnitude and direction of change in position from the starting point to the ending point. Perception can be positive, negative or zero depending on the direction of movement.

Total distance = 15m + 20m

Total distance = 35m

Displacement = \(\sqrt{15^{2} +20^{2} \\}\)         (as both are perpendicular to each other)

Displacement = 25m

Therefore, Total distance is 35m and displacement is 25m.

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A plot of land contains 3.6 acres. How many square meters does it contain? [1 acre = 43,560 ft?)

Answers

Answer:

It contains approximately 14,568.7 square meters

Explanation:

Area Units Conversion

There are several units to express the area of a shape:

\(cm^2,\ m^2,\ km^2,\ ft^2,\ in^2,\ acres, \ hectares\)

The process of expressing the area from one unit to the other is called a conversion.

Specifically, we are interested in converting from acres to square meters. The rule to make the conversion is:

\(1 acre = 4,046.86\ m^2\)

The plot of land has 3.6 acres, thus its area is:

\(3.6 * 4046.86 =14,568.696\ m^2\)

It contains approximately 14,568.7 square meters

A fluid exerts 50 N of force over an area that measures 5 m2. What is the pressure by exerted the fluid?

20 Pa

10 Pa

15 Pa

30 Pa

Answers

\(\sf{\underline{\underline{\qquad \clubsuit \: Given :\clubsuit\qquad}}} \\ \)

Force = 50 NArea = 5 m²

\(\sf{\underline{\underline{\qquad \clubsuit \: To \:Find :\clubsuit\qquad}}} \\ \)

The pressure exerted by the fluid = ?

\(\sf{\underline{\underline{\qquad \clubsuit \: Solution :\clubsuit\qquad}}} \\ \)

\(:\implies\sf Pressure = \dfrac{Force}{Area} \\ \\ \\ \)

\(:\implies\sf Pressure = \dfrac{50}{5} \\ \\ \\ \)

\(:\implies \underline{ \boxed{\sf Pressure = 10 \:pascal }}\\ \\ \\ \)

\(\therefore{\underline{\textsf{The pressure exerted by the fluid is \textbf{10 pascal}}}}. \\ \)

Brainlist!! Help!! Atom A consists of 10 protons, 12 neutrons, and 10 electrons.

Atom B consists of 10 protons, 10 neutrons, and 12 electrons.


The atoms are isotopes of each other.

The atoms are not isotopes of each other.

Answers

Atom A has 10 protons, 12 neutrons, and 10 electrons, while Atom B has 10 protons, 10 neutrons, and 12 electrons.

Atom A and Atom B are not isotopes of each other. Isotopes are atoms of the same element that differ in the number of neutrons but have the same number of protons. In this case, Atom A and Atom B have different numbers of protons, which means they are not isotopes of each other.

The number of protons determines the element, and since Atom A and Atom B have different numbers of protons, they belong to different elements.

Isotopes, on the other hand, have the same number of protons but differ in the number of neutrons.

This variation in the number of neutrons gives isotopes different atomic masses while retaining the same chemical properties.

However, Atom A and Atom B do not fulfill this criterion, so they cannot be considered isotopes of each other.

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I NEED YOUR HELP!!
Calculate the minimum area moment of inertia for a rectangular cross-section with side lengths 6 cm and 4 cm.


52 cm4


72 cm4


32 cm4


24 cm4


2 cm4

Answers

Answer:

Minimum area of rectangle = 24 centimeter²

Explanation:

Given:

Length of rectangle = 6 centimeter

Width of rectangle = 4 centimeter

Find:

Minimum area of rectangle

Computation :

Minimum area of rectangle = Length of rectangle x Width of rectangle

Minimum area of rectangle = 6 x 4

Minimum area of rectangle = 24 centimeter²

I NEED HELP PLZZZZZZ

I NEED HELP PLZZZZZZ

Answers

Mostly GPE and a little KE since the ball is high up (GPE) and it's also moving (KE) but not as much as it had when you first threw it

1 Which statement
about mas
A Mass and weight are both fo
3 Neither mass nor weight is a
C Only mass is a force.
Only weight is a force.
D Only weigh is a force

Answers

Only weigh is a force. force is mass multiplied by acceleration. weight is the mass plus the gravitational force acting on it.          

The difference between mass and weight is that mass is a measure of inertia and weight is a measure of force. We  use both of these terms interchangeably but this is not quite correct.

                                                       

Mass can be defined as how much a material an object is made up of. so considering the smallest particles we can say that the number of protons, neutrons, and electrons in an object is a simply the measure of its mass. Mass, can be referred as  both a property of an object and a measure of an object's resistance to acceleration.  kilograms and grams is the unit of mass.

The weight of an object can be referred as the force acting on it because or due  to gravity. That is, the gravitational interactions between bodies and masses, and when they interacts with the Earth, that force will be considered as the weight. its Unit is Newtons.

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A wave has an amplitude of 0.0800 m
and is moving 7.33 m/s. One oscillator
in the wave takes 0.230 s to go from
one crest to the next crest. Find the
wavelength of the wave.
(Unit = m)

Answers

If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The

wavelength of the wave is 1.69m.

What is the wavelength?

The wavelength of a wave can be determined using the equation:

Wavelength = velocity / frequency

To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.

frequency = 1 / time

frequency = 1 / 0.230

frequency ≈ 4.35 Hz

Substitute the values into the wavelength equation:

wavelength = velocity / frequency

wavelength = 7.33 / 4.35

wavelength ≈ 1.69m

Therefore the wavelength of the wave is approximately 1.69 meters.

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What is Energy in physics?

Answers

Answer:

Energy, in physics, the capacity for doing work. It may exist in potential, kinetic, thermal, electrical, chemical, nuclear, or other various forms. There are, moreover, heat and work—i.e., energy in the process of transfer from one body to another.

Explanation:

Hope this helps!

please need answers ASAP. ​

please need answers ASAP.

Answers

Answer:

overloading can be avoided if two many appliances are not connected to a single socket short circuiting is a name given to a situation in which they live and the natural voice accidentally coming contact

on Truck drivers in your community load their trucks beyond what is required by traffic rules. They are always arrested and changed for over loading by the traffic police department.Present a sensitization message to truck owners and the police in your community using the scene of turning effect of forces and stability.

Answers

The sensitization message to truck owners and the police in my community using the scene of turning effect of forces and stability is Let us work together so that the prioritization of road safety as well as the stability in our community can be secured by the promotion of responsible behavior so that all all road users can be safe.

What is sensitization ?

In the non-associative learning process of sensitization, the delivery of a stimulus repeatedly causes a response's volume to gradually increase. In addition to the recurrent stimulus, sensitization is frequently accompanied by an improvement in responsiveness to a whole class of stimuli.

This is a sort of community-level intervention where we work hand-in-hand with the local population using creative means of contact and communication that enable the target audience to relate to the problems on a personal level.

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6.
least 2 m. If the same car is moving with the speed 80K/h,what is the minimum stopping distance?
A car moving with a speed of 40 km/h can be stopped by applying the brakes after at-

Answers

The minimum stopping distance of the car is determined as 8 m.

What is the minimum stopping distance?

The minimum stopping distance of the car is calculated as follows;

d = (u²)/(2a)

where;

d is the minimum stopping distanceu is the initial velocitya is the acceleration of the car

when the minimum stopping distance = 2 m, initial velocity = 40 km/hr = 11.11 m/s

2 = (11.11²)/(2a)

a = (11.11²)/(2 x 2)

a = 30.86 m/s²

when the speed becomes 80 km/h, the minimum stopping distance is calculated as;

u = 80 km/h = 22.22 m/s

d = (22.22² )/ (2 x 30.86)

d = 8 m

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Which two events likely influenced President Wilson to change his initial stance on neutrality and to declare war in 1917? the letter from the Woman's Peace Party delivered to the White House the attempted assassination of German Admiral Holtzendorff the interception of the Zimmerman Telegram Germany's resumption of unrestricted submarine warfare the failure of the nation's Preparedness Movement Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form. 8 and 32 Kim is the chief executive officer of Hayden Corp. He believes that it is important for top management to inspire employees to work toward organizational goals. As a result, he develops an incentive plan to reward high-performing employees and boost their morale. In the context of management functions, Kim is engaged in _______. planning organizing leading controlling In-text citations:A) directly relate to the Works Cited page.B) tells readers where the information came from.C) help writers avoid plagiarism.D) All of the choices are correct. What is the value of L-1.1)? what is the height from the base of the statue to the tortch in inches If you do a Find and Replace for a term, where will Word begin looking for the term? O at the start of the document O at the insertion point O at the end of the document O in the header of the document which of the following is not true regarding emotion regulation? question 13 options: it can be defined as a person's ability to understand the meaning of emotions. it involves identifying and modifying the emotions one feels. surface acting has only a minimal effect on emotion regulation. emotion regulation is a strong predictor of task performance for some jobs and organization citizenship behavior. persons engaging in emotion regulation might try to cheer themselves when they're feeling down. 1.What happens to most of the bills introduced in the House of Representatives?A.They become laws.B.They are passed but then vetoed by the President.C.They are passed by the House but not by the Senate.D.They are never sent by committees to the full House.2.Section 8 of Article 1 to the United States Constitution gives Congress the power to:To borrow Money on the credit of the United States; To regulate Commerce with foreign Nations, and among the several States, and with the Indian Tribes; To establish a uniform Rule of Naturalization and uniform laws on the subject of Bankruptcies throughout the United States3.What are these listed powers called?A.Concurrent PowersB.Enumerated PowersC.Reserved PowersD.Supremacy Powers4. What is the correct sequence of events?A. 1, 2, 4, 3B. 2, 3, 4, 1C. 3, 1, 4, 2D. 4, 1, 2, 3...the said lords spiritual and temporal, and commons ... do in the first place (as their ancestors in like case have usually done) for the vindicating and asserting their ancient rights and liberties, declare... That it is the right of the subjects to petition the King, and all committments [sic] and prosecutions for such petitioning are illegal.English Bill of Rights5. According to the excerpt, did the delegates of the Continental Congress have the right to send a letter expressing their concerns to King George III in 1774?A. No, because the colonists were not British citizens.B. No, because the king was not bound by the English Bill of Rights.C. Yes, because the colonists were British citizens, and they had rights.D. Yes, because as Americans they had freedom to complain to a foreign King. c) z squared when z = 0.5 The formula V = s exponent 3 can be used to find the volume of a cube. 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The acceleration of gravity is9.8 m/s2 Which equation is related tox+10-1=x?Ox+10= x + x + 1Ox+10=x + 2x + 1Ox+10= x + 1Ox+10=x2-1Can some one please help me ? Jordan has 3 pairs of Nike shoes and 4 pairs of Timberland shoes. Find the probability that he will choose a Timberland pair at random. Convert the fraction to a decimal. Round to three decimal places. The causes and effects of the government actions (e.g., consumer spending, housing markets etc.)The different economic perspectives that influenced the decisions.What was the impact on stability and variability?What impact might government requirements regarding down payments have on potential homeowners?Did the Canadian and Ontario governments make the correct decision, from an economic perspective? when compared to the other layers of earth, which layer has the lowest density?