There are two containers of equal volumes, each filled with a different gas. Both containers have the same number of moles of gas and are at the same temperature. The molecules of gas in container 1 are four times more massive than the molecules of gas in container 2. The number of moles in container 2 is increased until it is a factor of 4 larger than the number of moles in container
1. The volume and temperature of container 2 remain unchanged. After increasing the number of moles in container
2: Which container, 1 or 2, has a higher pressure, or are they the same? Which container, 1 or 2, has a higher average (rms) speed of gas molecules, or are they the same? Which container, 1 or 2, has a higher average kinetic energy of gas molecules, or are they the same? Which container, 1 or 2, has a higher thermal energy, or are they the same?

Answers

Answer 1

Answer:

Molecules in container 2 has a higher pressure.

Molecules in container 2 has a greater rms speed.

Molecules in container 2 has a greater kinetic energy.

Molecules in container 2 has a greater thermal energy.

Explanation:

At constant volume and temperature, The number of moles of a gas is proportional to its pressure.

The lower the pressure, the lesser the rms speed of molecules, kinetic energy of the molecules and thermal energy of the molecules, hence the answer above.


Related Questions

how can we prove air in water​

Answers

We can show that air is dissolved in water with the help of following activity: Take some water in a glass or metal container like pan and heat it. Just before water begins to boil, you will notice some bubbles at the inner surface of the pan. These bubbles come from the air dissolved in water.

A rock is thrown vertically upward from the origin of a reference frame. The rock reaches the peak of its trajectory and then it returns back to the origin where it comes to rest. Using the upward direction as positive, select True or False for the following statements. False The acceleration of the rock is negative throughout the whole motion. True The position of the rock is positive or zero throughout the whole motion. False The velocity of the rock is positive throughout the whole motion. False The acceleration of the rock is zero at the peak of the trajectory

Answers

Answer:

The acceleration of the rock is negative throughout the whole motion. (TRUE)

The acceleration of the rock is zero at the peak of the trajectory (FALSE)

The velocity of the rock is positive throughout the whole motion (FALSE)

The position of the rock is positive or zero throughout the whole motion (TRUE)

The velocity of the rock is positive throughout the whole motion (FALSE)

Explanation:

1)The acceleration of the rock is negative throughout the whole motion. (TRUE)

Using the upward direction as positive

Then, The acceleration of the rock is negative throughout the whole motion.

2)The acceleration of the rock is zero at the peak of the trajectory.(FALSE)

Only the velocity can be zero at the peak the trajectory, the acceleration is not zero

3)The velocity of the rock is positive throughout the whole motion (FALSE)

Using the upward direction as positive, The velocity of the rock is only positive when going in upward direction and vice versa

4)The position of the rock is positive or zero throughout the whole motion (TRUE)

When the rock get down it will have a zero position, then when it get to the peak it will have positive position

what does Conosive mean?​

Answers

Answer: adjective. having the quality of corroding or eating away; erosive. harmful or destructive; deleterious: the corrosive effect of poverty on their marriage. sharply sarcastic; caustic: corrosive comments on the speaker's integrity.

Explanation:

A vehicle travels 53 km both north and east. What is the
vehicle's displacement?

Answers

75km

I dont really know how to do the math but thats what my teacher told me when i asked

When the vehicle travels 53 km both north and east, then the resultant displacement of the vehicle would be 74.95 kilometers.

What is displacement?

An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard.

Displacement describes this shift in location.

As given in the problem when the vehicle travels 53 km both north and east, then we have to find the resultant displacement of the vehicle,

The vehicle's displacement in the north direction = 53 kilometers

The vehicle's displacement in the east direction =53 kilometers

The resultant vehicle's displacement= √(53² + 53²)

                                       = √5618

                                       = 74.95 kilometers

Thus ,the resultant displacement of the vehicle is 74.95 kilometers in the northeast direction.

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The sound wave has a frequency of 426 Hz. What is the period? What is the wavelength?​

Answers

Answer:

See below

Explanation:

Using the speed of sound in air as 343 m/s :

343 = wavelength * frequency

      = wavelength * 426

              wavelength = .81 meters

Period is just    1/frequency  =  .00235 seconds

Whatcan you say to care our mother earth

Answers

Answer:

You can say, use public transportation

Recycle & try to not use as much packaging that cannot biodegrade.

Knowing that a ball traveled 16 feet in one second, how much will it travel in the first quarter second?

Answers

Answer:

4 Feet

Explanation:

Because A Quarter of 16 is 4

You really can't tell. You don't know if its speed was constant for the whole second, or whether it was accelerated, decelerated, intermittent, bouncing back and forth, etc. All you know is that after 1 second, it had moved 16 ft.

IF its speed was constant AND it moved in a straight line, THEN it moved 4 ft in the first quarter of that second.

If it rolled off of a roof and FELL 16 ft in the first second, then it fell 1 foot in the first quarter second.

When a technician touches a _____ it is the most dangerous, and likely to cause serious injury. a. live conductor with his right hand and touches a ground with his left hand b. live wire with his hand but is standing on an insulated platform c. live wire with his right hand and accidentally touches his right elbow on the metal of the same unit d. ground with his thumb and a live wire with his index finger

Answers

Answer: live conductor with his right hand and touches a ground with his left hand

Explanation:

When a technician touches a live conductor with his right hand and touches a ground with his left hand, it is the most dangerous, and likely to cause serious injury.

This is because when the person touches the live conductor, there will be an electrical path which will allow current flow with the aid of the person's body. This is because the body of human being is a conductor. Therefore, when the technician touches the live conductor with his right hand and touches a ground with his left hand, an electrical path is created.

A moon orbits a planet every 42 hours with a mean orbital radius of .002819 AU. The mass of the moon is 8.932 x 1022 kg. Using Newton’s modification to Kepler’s 3rd law, calculate the Mass of the Planet in kg.

Answers

Answer:

The mass of the planet  is [tex]1.9407\times10^{27}\ kg[/tex]

Explanation:

Given that,

Time period = 42 hours = 151200 sec

Orbital radius = 0.002819 AU = 421716397.5 m

Mass of moon [tex]m=8.932\times10^{22}\ kg[/tex]

We need to calculate the mass of the planet

Using Kepler’s third law

[tex]T^2\propto a^3[/tex]

[tex]T^2=\dfrac{4\pi^2}{G(M+m)}\times a^3[/tex]

Where, a = orbital radius

T = time period

G = gravitational constant

M = mass of moon

m = mass of planet

Put the value into the formula

[tex](151200)^2=\dfrac{4\pi^2}{6.673\times10^{-11}(8.932\times10^{22}+m)}\times(421716397.5)^3[/tex]

[tex](8.932\times10^{22}+m)=\dfrac{4\pi^2}{6.673\times10^{-11}}\times\dfrac{(421716397.5)^3}{(151200)^2}[/tex]

[tex](8.932\times10^{22}+m)=1.94087\times10^{27}[/tex]

[tex]m=1.94087\times10^{27}-8.932\times10^{22}[/tex]

[tex]m=1.9407\times10^{27}\ kg[/tex]

Hence, The mass of the planet  is [tex]1.9407\times10^{27}\ kg[/tex]

1
Find the x-component of this
vector:
Help Resources
0.250 m
18.4°
Skip
Remember, angles are measured from
the +X axis.
x-component (m)

Answers

Answer:

x-component = 0.237 [m]

Explanation:

In order to solve this problem in an easy way, we must first make a sketch of the vector and its respective angle with the X-axis, in the attached image we can see that sketch.

Since the X component of the vector is needed, this component can be found by means of the cosine of the angle and its hypotenuse.

x-component = 0.250*cos(18.4)

x-component = 0.237 [m]

Answer:

x = 0.237

y = -0.0789

Explanation:

A power boat pulls a water skier 2.6 km maintaining a
tension of 250 N in the rope to the skier. How much work is
done on the water skier by the rope?

Answers

Answer:

W = 650 [kJ]

Explanation:

The definition of work is denoted by the product of force by the distance traveled by the body, this distance traveled corresponds to the direction of the force.

In this case we have:

d = distance = 2.6[km] = 2600 [m]

F = force = 250 [N]

W = F*d = 250 * 2600 = 650000 [J] or 650 [kJ]

the summer camps had field from the campus to fragrance hill. they traveled at an average speed of 65 km/h in the first 2 hours. after that they traveled at another average speed of 78 km/h if the distance between the campus and fragrance hill is 364 km, what was the total time for a field trip

Answers

Answer:

5 hours

Explanation:

so if they traveled an average speed of 65 km/h then that means they traveled 130 km (2*65). Then the remaining distance to travel will be 364-130, or 234 km. If you travel at 78 km /h, then it will take you 234/78, or 3 more hours to reach Fragrance Hill. Add 2 and 3 to get a total of 5 hours

A student releases a marble from the top of a 130cm ramp. The marble increases speed steadily and reaches the bottom of the ramp with a speed of 140cm/s. Determine all unknowns and answer the following question.
How long did the marble take to reach the bottom of the ramp?

PLZ HELP ASAP

Answers

Explanation:

V=p/t

t=p/V

p=130cm

V=140cm/s

t=130/140s = 13/14s

A dog runs 3 miles and 4 miles west in 6 hours. What’s the dogs total distance and displacement ?

Answers

Complete question:

A dog runs 3 miles east and 4 miles west in 6 hours. What’s the dogs total distance and displacement ?

Answer:

The total distance covered by the dog is  7 miles

The displacement of the dog is 1 mile west

Explanation:

Given;

initial position of the dog = 3 miles east

final position of the dog = 4 miles west

time of motion, t = 6 hours

The total distance covered by the dog is given as;

Total distance = 3 miles + 4 miles = 7 miles

The displacement of the dog is given as;

displacement = final position of the dog  - initial position of the dog

displacement =  4 miles west - 3 miles east = 1 mile west


Distance vs Displacement
As an object moves, its location undergoes change. There are two quantities that are used to describe the changing location. One quantity - distance
accumulates the amount of total change of location over the course of a motion. Distance is the amount of ground that is covered. The second quantity -
displacement - only concerns itself with the initial and final position of the object. Displacement is the overall change in position of the object from start to
finish and does not concern itself with the accumulation of distance traveled during the path from start to finish.

True or False: An object can be moving for 10 seconds and still have zero displacement.

A. True
B. False

Answers

Answer:

A

Explanation:

Because u can just go back to where u started in just ten seconds

How much will a 200kg hippo accelerate if you push it with a force of 800 N?

Answers

Answer:

Explanation:

force = f, mass = m, acceleration = a

f = m a

m = 200 kg

f = 800 N

f = m a

800 = 200a

a = 800 / 200

a = 4

Hope this helps

plz mark as brainliest!!!!!!!

A runner runs the 100 meter dash in 16.6 seconds. What is their average speed? (in meters per second) SOMEBODY PLEASE HELP ME!!!

Answers

Formula: s = d/t

s = speed

d = distance

t = time

We are given the distance and time, so we can use that to solve for the speed.

s = 100/16.6

s ≈ 6.02m/s

Best of Luck!

You have four identical conducting spheres: A, B, C, and D. In each scenario below, sphere A starts with a charge of -Q, sphere C starts out with a charge of Q, and spheres B and D start out neutral. Then the spheres are touched to each other and separated in the order described. Any spheres not in contact are held very far away. For each scenario, give the final charge of sphere C as a whole number fraction of Q. For example, if you decide that the final charge of sphere C is -Q/7, enter \"-1\" in the numerator and \"7\" in the denominator. Remember! Before each scenario begins, spheres A, B, C, and D are reset to charges of -Q, 0, Q, and 0 again.
Scenario 1: A and B touch and are separated, then A and C touch and are separated, then A and D touch and are separated.
Scenario 2: A and D touch and are separated, then D and C touch and are separated, then D and A touch and are separated, then A and B touch and are separated.
Scenario 3: A and B touch and are separated, then B and D touch and are separated, then C and D touch and are separated.

Answers

Answer:

1)    Q_c = - ½ Q ,  2)   Q_c = + ¼ Q , 3)    Q_c= 3/8 Q

Explanation:

For this exercise we must use that equal charges repel and charges with different signs attract. When two objects are in contact, the charges are evenly distributed between them.

Scenario 1.

when the two spheres touch the charge -Q is distributed between them, when separating each sphere has a charge = -1/2 Q

as there are no more interacts sphere C its charge is

         Q_c = - ½ Q

Scenario 2

when the two spheres touch the charge -Q is distributed between them, when separating each one has a charge

        Q_a = Q_d = - ½ Q

now the sphere D and C touch the charge is Q_net = -1/2 Q + Q = + ½ Q

when separating each sphere has half the charge

            Q_d = Q_c = + ¼ Q

since sphere C has no more interaction, its charge is

           Q_c = + ¼ Q

Scenario 3

A and B touch the net charge is Q_net = - Q + 0 = - Q

when parting

          Q_a = Q_b = - ½ Q

now B and D touch, the charge is Q_net = - ½ Q +0 = - ½ Q

when parting

           Q_b = Q_d = - ¼ Q

finally C and D touch

the net charge is Q_net = Q- ¼ Q = ¾ Q

when separating each one is left with half the load

           Q_c = Q_d = 3/8 Q

          Q_c= 3/8 Q

please give the answer

Answers

Answer:

75

Explanation:

just took it e2020

Answer:

60%

Explanation:

efficiency= useful/input x 100%,

Here, kinetic energy is useful for food processor (i.e. spinning blades)

600J/1000J=60%

You are standing on a scale in an elevator that is moving upward with a constant velocity. The scale reads 600 N. The following table shows five options for what the scale reads when the elevator slows down as it comes to a stop, when it is stopped, and when it picks up speed on down. Which one of the five options correctly describes the scale's readings? Note that the symbol < means "less than" and > means "greater than."
Option Elevator slows down Elevator is stopped Elevator picks up speed
as it comes to a half on its way back down
(a) >600 N >600 N >600 N
(b) <600 N 600 N <600 N
c) >600 N 600 N <600 N
(d) <600 N <600 N <600 N
(e) <600 N 600 N >600 N

Answers

Answer:

C. >600 N 600 N <600 N

Explanation:

The scale's reading when when the elevator slows down as it comes to a stop, when it is stopped, and when it picks up speed on down is >600 N, 600 N, <600 N respectively.

To understand this we have to first understand weight.

What is weight?Weight is a product of mass and gravitational acceleration.Weight W = mg , where m = mass of an object , g = gravitational acceleration.The gravitational force increases as the height of an object increases.

What happens to scale's reading when an elevator changes its position? The scale's reading is 600 N.When an elevator goes upwards and slows down , the Earth's gravity pulls it down so the force will be 600 N + force applied by earth so it will be >600 N.When an elevator stops it is at its natural height so, the force will be 600 N.When an elevator picks up speed on down, the force will be less than 600 N so it will be <600 N.

So, the scale's reading is >600 N 600 N <600 N, hence the correct answer is option C.

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A water skier has a mass of 86 kg and accelerates at 2 m/s2. What is the net force acting on him?
Ο Α.
0.0233 N
2
B.
43 N
C. 84N
D.
172 N

Answers

Answer:

F = 172 N

Explanation:

Newton's second law of motion gives the amount of force acting on an object. Mathematically, it is given by :

F=ma

Put m =86 kg and a = 2 m/s²

So,

[tex]F=(86\times 2)\ N\\\\F=172\ N[/tex]

Hence, the net force is 172 N.

If the total time is 120 seconds and the total distance is 320 meters. Calculate
the average speed (show work)

Answers

Answer:

S=D/T

320/120= 2.66 miles

Explanation:

Electric current passing through a human body can be dangerous, even fatal, depending on the amount of current, the duration of the current, and the region of the body through which the current passes. However, currents less than about 0.5 mA are typically imperceptible. A current caused by a low potential difference typically travels through the outer layer of the skin. The resistance of the skin therefore determines how much current flows for a given potential difference. The resistance can be influenced by a number of factors, including whether the skin is wet or dry. For example, suppose an electric current of 89.0 µA follows a path through the thumb and index finger. When the skin is dry, the resistance along this path is 4.70 ✕ 105 Ω. What voltage (in V) is required for this current, in the case of dry skin? V When the skin is wet, the resistance is lowered to 2,200 Ω. What voltage (in V) is required for the same current, in the case of wet skin? V

Answers

Answer:

V for dry skin = 41.83 volts

V for wet skin = 0.196 volts

Explanation:

The relationship between current and voltage is given as follows by Ohm's Law:

V = IR

where,

V = voltage

I = Current

R = Resistance

FOR DRY SKIN:

V = Vd = ?

I = 89 μA = 89 x 10⁻⁶ A

R = 4.7 x 10⁵ Ω

Therefore,

Vd = (89 x 10⁻⁶ A)(4.7 x 10⁵ Ω)

Vd = 41.83 volts

FOR WET SKIN:

V = Vw = ?

I = 89 μA = 89 x 10⁻⁶ A

R = 2200 Ω

Therefore,

Vd = (89 x 10⁻⁶ A)(2200 Ω)

Vd = 0.196 volts

In a Young's double-slit experiment the separation distance y between the second-order bright fringe and the central bright fringe on a flat screen is 0.0177 m, when the light has a wavelength of 425 nm. Assume that the angles are small enough so that sin is approximately equal to tan . Find the separation y when the light has a wavelength of 560 nm.

Answers

Answer:

y = 0.0233 m

Explanation:

In a Young's Double Slit Experiment the distance between two consecutive bright fringes is given by the formula:

Δx = λL/d

where,

Δx = distance between fringes

λ = wavelength of light

L = Distance between screen and slits

d = Slit Separation

Now, for initial case:

λ = 425 nm = 4.25  x 10⁻⁷ m

y = 2Δx = 0.0177 m => Δx = 8.85 x 10⁻³ m

Therefore,

8.85 x 10⁻³ m = (4.25 x 10⁻⁷ m)L/d

L/d = (8.85 x 10⁻³ m)/(4.25 x 10⁻⁷ m)

L/d = 2.08 x 10⁴

using this for λ = 560 nm = 5.6 x 10⁻⁷ m:

Δx = (5.6 x 10⁻⁷ m)(2.08 x 10⁴)

Δx = 0.0116 m

and,

y = 2Δx

y = (2)(0.0116 m)

y = 0.0233 m

Given the hypothesis that the element zinc prevents cancer, which of the following procedures BEST exemplifies the nature of scientific investigation?

A- Analyze zinc, looking for different forms

B- Do research on zinc and its uses throughout history to determine if there is evidence that zinc prevents incidence of cancer


C- Rely on testimony of friends and relatives, as well as conduct a survey to see if there is a concentration of cancer in the people not taking zinc supplements


D- Give zinc supplements to a group of rats and not to another group. After a period of time, determine if there is a higher incidence of cancer in the control group​

Answers

Answer:D

Explanation: i found the answer in an answer key!

Give zinc supplements to certain rats while withholding them from others. Determine whether the control group's cancer incidence has increased over time. ​Hence, option D is correct.

What is Scientific Investigation?

Scientific investigation refers to the procedures and procedures used by scientists to create hypotheses, carry out experiments, collect and analyze data, and come to conclusions. Sometimes the evidence doesn't offer adequate answers, but it can raise fresh questions that need to be looked into. Scientific methods are employed by scientists primarily to conduct scientific research.

The steps in Scientific Investigation are :

Make some observationsAsk questions on basis of observationsMake a HypothesisCheck that HypothesisExtract ConclusionCommunicate the results.

The hypothesis portion is the best way to define a hypothesis as a potential solution to a problem in science. Though it may be falsifiable, it is crucial that the hypothesis be rational. Observations that would contradict the hypothesis must be made if we want to show it to be false. In this case, we'll check to determine if the problem is with just one particular electrical item or with all of them.

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Which of these is an example of the conversion of kinetic energy into gravitational potential energy?
Group of answer choices

a bicyclist coasting down a long hill

a car engine moving the car forward

a roller coaster car moving toward the top of a rise in the tracks

a thrown ball falling toward the ground after passing through the top part of its motion​

Answers

Answer:

a roller coaster car moving toward the top of a rise in the tracks

Explanation:

A roller coaster car moving toward the top of a rise in the tracks is an example of the conversion of kinetic energy into gravitational potential energy , therefore the correct answer is option C.

What is mechanical energy ?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy .

As given in the problem we have to find out Which of these is an example of the conversion of kinetic energy into gravitational potential energy ,

A roller coaster car moving toward the top of a rise in the tracks is an example of the conversion of kinetic energy into gravitational potential energy , therefore the correct answer is option C .

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The __________ of exercise determines the health and fitness benefit of the exercise. A. frequency B. intensity C. time D. type Please select the best answer from the choices provided. A B C D

Answers

Answer:

c- Time

Explanation:

The time will tell depending on the person who is exercising, the rate of time, the  workout time. & limits on weights....

Answer:

The guy above me is wrong the real answer is D

Explanation:

Suppose that 4 charged particles, all having a positive charge Q, are placed and fixed at the vertices of a square, where every side has a length a.
(a) What is the electric potential at the center of this arrangement? You can use any of the symbols already provided to you when typing your answer, in addition to the symbol ke and any numbers. [NOTE: The symbol ke must be typed with e as a subscript on k to receive credit. Simply typing "ke" will not suffice.]
(b) Now imagine that we introduce a new charge, called q. How much potential energy would this charge have if it were placed at the center of the square? You can use any of the symbols already provided to you when typing your answer, in addition to the symbol ke and any numbers.PE =

Answers

Answer:

+%_×¥+₩ £kshnow sjsni niadk lplz kfkd skidk skkkim

How does the electric potential energy between two negatively charged
particles change if one particle's charge is reduced by a factor of 3?

Answers

Explanation:

The electric potential energy is given by :

[tex]U=\dfrac{kq_1q_2}{r}[/tex]

k is electrostatic constant

r is the distance between charges q₁ and q₂

It is clear that the potential energy is directly proportional to the charges. It means if one particle's charge is reduced by 3, its electric potential energy is reduced by 3.

Answer:

Reduced by a factor of 3.

Explanation:

Explain why scientists use the International System of Units (SI)

Answers

Answer:

Scientist use the IS system to keep measurements that are identical and equivalent for all scientists across the world. The metric system can also be broken down easier and much clearer than Imperial units. This also clears up confusion if all scientists are using the same units and leaves less room for accidents in transferring measurements.

Explanation:

Other Questions
Cmo dira lo siguiente en espaol? I will put, you will leave, we will say, and they will come. A. Pondr, saldris, diremos, vendrs. B. Pondr, saldrs, diremos, vendremos. C. Pondr, saldrs, diremos, vendrn. D. Pondr, saldrs, diris, vendremos. What is 1/3d + 10 = 3/5d and please solve it step by step showing work. Decimal Numbers on Number LinesBG2++ +++-31-1-4-20CE=A=BE Callen knows that the area of square piece of artwork he owns is 289 square inches. Which shows the correct step he should take if he wants to find out the side lengths of the piece of artwork? what type of chart or graph would be best for Angel to use ? The following data relate to the operations of Slick Software, Inc., during 2018. Continuing operations: Net sales $ 19,850,000 Costs and expenses (including applicable income tax) 16,900,000 Other data: Operating income during 2018 on segment of the business discontinued near year-end (net of income tax) 140,000 Loss on disposal of discontinued segment (net of income tax benefit) 550,000 Prior period adjustment (increase in 2017 depreciation expense, net of income tax benefit) 350,000 Cash dividends declared 950,000 Required: a. Prepare a condensed income statement for 2018, including earnings per share figures. Slick Software, Inc., had 200,000 shares of $1 par value common stock and 80,000 shares of $6.25, $100 par value preferred stock outstanding throughout the year. b. Prepare a statement of retained earnings for the year ended December 31, 2018. As originally reported, retained earnings at December 31, 2017, amounted to $7,285,000. c. Compute the amount of cash dividend per share of common stock declared by the board of directors for 2018. Assume no dividends in arrears on the preferred stock. d. Assume that 2019 earnings per share is a single figure and amounts to $8.00. Assume also that there are no changes in outstanding common or preferred stock in 2019. Do you consider the $8.00 earnings per share figure in 2019 to be a favorable or unfavorable figure in comparison with 2018 performance? what is photosynthesis? What are the values of x and y. In the given figure? What direct impact did the efforts of individuals like Ava Deer have Evaluate : -5x+7y^2-z I need help solving this what is 2|x 2| 12 = 0 might be hard to read but i do not understand what the K means. I scream, you scream, we all scream for ice cream. The following table describes the relationship between the number of scoops in an ice cream cone, represented by x. So this is the number of scoops in an ice cream cone. So that's x, and the price of the cone, represented by y. I'll do y in purple. Write the equation that describes this relationship. So let's see. When x is 0, y is 0. When x is 1, y is 1 and 3/4. So let me write this as an improper fraction, just so I can visualize it better. So this is 4/4 plus 3/4, which is equal to 7/4. When x is 2, y is 3 and 1/2. So let me see if I can write this in a little bit of a clearer way. So 2 times 3 is 6, plus 1 is 7, so this is 7/2-- which is the same thing as 14 over 4. And then here we have, when x is 3, y is equal to-- so 5 and 1/4-- if I would write it as an improper fraction-- 4 times 5 is 20, plus 1 is 21. So this is equal to 21 over 4. And then finally, if we were to write this as something over 4, this is equal to 28 over 4. 7 is the same thing as 28 over 4. So you see that this is a proportional relationship. The ratio between y and x. So let me write this. The ratio between y and x is always equal to 7/4. Notice here, y is 7/4 of x. 7/4-- it's a bigger number. Or you could say 1 and 3/4 of x. So let me make that clear. So y over x is equal to 7/4. Or, we can say that y is always 7/4 of x. We can multiply both sides by x, if we like. So if we multiply both sides by x, we get y is equal to 7/4 times x. And you see it here. When x is 4, 7/4 times 4 is 7. When x is 0, y is 0. When x is 3, 7/4 times 3 is 21 over 4, which is the same thing as 5 and 1/4. So there we go. And let me input it, just to make sure we can input it right. So y is equal to 7/4 x. We would just write y is equal to 7/4 times x. And let's check our answer. And we got it right Triangle QRS has been rotated 90 to create triangle TVU. Using the image below, prove that lines RS and VU have the opposite and reciprocal slopes. IS 47+13 RATIONAL OR IRRATIONAL A grade school class is nearing the final round of musical chairs. 5 students are left and there are 3 chairs available. How many combinations could be made of these 5 students in the 3 chairs? Listed in the Item Bank are some important labels for sections of the image below. To find out more information about labels, some have more details available when you click on them. Drag and drop each label to the corresponding area it identifies in the image.ITEM BANK: Move to BottomBoilingGas/VaporLiquidMeltingSolidTemperatureTime0 This one's a little complicated TwT what kind of leadership does the Mesopotamian and Egyptian civilizations need? What does a government need to do to protect the way of life for its people? Can you think of any instances when the government did not attend to the needs of the people? Can someone help me for D and E