What relationship exists between two variables when their ratio is a constant?

Answers

Answer 1

Final answer:

The relationship between two variables when their ratio is a constant is called direct proportionality. In direct proportionality, the two variables change in the same direction.

Explanation:

The relationship between two variables when their ratio is a constant is called direct proportionality. In direct proportionality, the two variables change in the same direction.

If one variable increases, the other variable also increases, and if one variable decreases, the other variable also decreases. This can be represented by the equation y = kx, where y and x are the variables, and k is the constant of proportionality.

For example, if the speed of a car is directly proportional to the distance it travels in a certain amount of time, as the car's speed increases, the distance it travels also increases.

Answer 2

When the ratio of two variables is constant, it indicates a direct proportionality between them, where a change in one variable results in a corresponding change in the other to maintain the constant ratio.

When the ratio of two variables is a constant, it implies that the variables are directly proportional to each other. This relationship is often expressed mathematically as "x over y equals k," where "k" is the constant ratio.

To understand this relationship, let's consider an example with variables "x" and "y." If their ratio is constant, it means that as one variable changes, the other changes in such a way that their ratio remains the same.

For instance, if "x" represents the amount of flour used in a recipe and "y" represents the amount of water, and their ratio is constant, it means that for every unit increase in flour, there is a corresponding unit increase in water to maintain the constant ratio. This indicates a proportional relationship between the two variables.

In general, when two variables have a constant ratio, they exhibit a linear relationship on a graph, passing through the origin. The slope of this line represents the constant ratio "k."

In summary, when the ratio of two variables is constant, it indicates a direct proportionality between them, where a change in one variable results in a corresponding change in the other to maintain the constant ratio.


Related Questions

Which term describes when situations, events, or people make demands on your body and mind

Answers

Stress
       
Stress is a condition of mental strain or pressure on the body and coming about because of unfavorable or demanding conditions that the person cannot handle at that moment.

stress is the correct answer to this problem


justify why a rotten fruit is not truly wasted

Answers

Rotten fruit can be consumed by decomposers.

How do I calculate the orbital period of Mercury?

Answers

Just like any other speed, it's

(total distance) / (time to cover the distance).

So you need to look up Mercury's distance from the sun, calculate the length of it's orbit, and divide that by the time it takes to go around the orbit once.
Good luck.

Answer:88 days

Explanation: The sidereal.orbital period is calculated from observations. Mercury is observed to come into

superior conjunction with the Sun every 116 days. This is called the "Mercury's synodic year". The sum of the inverse of earth's sidereal year and merciry's synod year equals the inverse of mercury's sidereal year. That is:

1/365.24 + 1/116 = 1/P where P is mercurry's sidereal year.

Therefore, P equals 88 days.

Which type of investment offers both capital gains and interest income

Answers

stock bonds is the correct answer hope this helps

Answer:

"Stocks" type of investment offers both capital gains and interest income .

Explanation:

1.An electrician is deciding what type of material to use for wires. Based on the periodic table, which of the following would be the best material and reason for its use?

Answers

Without specifics, the best element to conduct electricity would be copper.

One's perception depends on the way the brain interprets the stimuli. Please select the best answer from the choices provided T F

Answers

The answer for this question would be option A) TRUE or the first choice because one's perception DOES depend on the way the brain interprets the stimuli.

Answer: The given statement is true.

Explanation:

A change that is observable is known as a stimuli. Every individual has their own way of thinking and interpreting things.

For example, Lisa got a chocolate as a reward for completing her homework whereas his elder brother gets upset with his mom because of this.

So, in this situation Lisa will be happy as she has got a reward whereas his brother is taking this thing in a negative way by getting jealous or upset about it.

Hence, we can conclude that the statement one's perception depends on the way the brain interprets the stimuli, is true.

He density of ice is 0.92 g/cm3; and the density of seawater is 1.03 g/cm3. a large iceberg floats in arctic waters. what fraction of the volume of the iceberg is exposed?

Answers

Only about 11% of the volume of the iceberg is exposed.

[tex]\texttt{ }[/tex]

Further explanation

The basic formula of pressure that needs to be recalled is:

Pressure = Force / Cross-sectional Area

or symbolized:

[tex]\large {\boxed {P = F \div A} }[/tex]

P = Pressure (Pa)

F = Force (N)

A = Cross-sectional Area (m²)

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

Given:

Density of Ice = ρ_ice = 0.92 g/cm³

Densiy of Seawater = ρ_seawater = 1.03 g/cm³

Asked:

Volume of the exposed iceberg = ΔV = ?

Solution:

We will use Archimedes' principle to solve the problem as follows:

[tex]w = F[/tex]

[tex]mg = \rho_{seawater} g V'[/tex]

[tex]\rho_{ice} \ g V = \rho_{seawater} \ g V'[/tex]

[tex]V' = ( \rho_{ice} \div \rho_{seawater} ) V[/tex]

[tex]V' = (0.92 \div 1.03) V[/tex]

[tex]V' = \frac{92}{103} V[/tex]

[tex]\texttt{ }[/tex]

[tex]\Delta V = V - V'[/tex]

[tex]\Delta V = V - \frac{92}{103} V[/tex]

[tex]\Delta V = \frac{11}{103}V[/tex]

[tex]\Delta V \approx 11 \% V[/tex]

[tex]\texttt{ }[/tex]

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[tex]\texttt{ }[/tex]

Answer details

Grade: High School

Subject: Physics

Chapter: Pressure

[tex]\texttt{ }[/tex]

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant , Liquid , Pressure

What evidence did Wegener make use of to develop the theory of continental drift? A The climate of Siberia has always been the same. B There is no evidence of glaciers anywhere in South America. C The Rocky Mountains are taller than the Appalachian Mountains. D Mountains in North America appear to be part of the same chain of mountains as those in Northern Europe.

Answers

The answer is D. Mountains in North America appear to be the same as those in Northern Europe
If we look at the maps the mountains in north America adopter to be part of the same chain of mountains as those in northern Europe. So Its D.

which is true of a kilogram of feathers and a kilogram of bricks?
a. they have the same mass
b. they have the same volume
c. the bricks are less dense
d. the feathers are more dense

Answers

because when u carry feathers they will be bigger and the air will lift some weight
SO The Answer Is B
Final answer:

In comparing a kilogram of feathers and a kilogram of bricks, they have the same mass but do not have the same volume or density. Bricks are more dense than feathers.

Explanation:

The comparison between a kilogram of feathers and a kilogram of bricks deals with two primary concepts: mass and density. When we are comparing a kilogram of feathers and a kilogram of bricks, they have the same mass because a kilogram is a measure of mass. Therefore, option (a) is correct.

However, they do not have the same volume and the density of each is different. Density is defined as mass per unit volume. Bricks are denser than feathers. This means that for a given mass, bricks take up less space or volume than feathers. Therefore, neither option (b) nor options (c) and (d) are correct.

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Air pressure is usually lowest during which season?

Answers

They are lowest during the summer because warmer air is less dence

Where are the two lenses located in a compound microscope use in most classrooms today?

Answers

Final answer:

In a compound microscope, the ocular lens is located near the eye for viewing and the objective lens is closer to the specimen for initial magnification.

Explanation:

The two lenses located in a compound microscope used in most classrooms today are the ocular lens and the objective lens. The ocular lens, or eyepiece, is found at the top of the microscope and is the lens that you look through with your eye. It often contains multiple lenses within a cylindrical barrel and contributes to magnifying the image. The second lens, known as the objective lens, is located closer to the specimen. It is a convex lens with a short focal length that provides the initial magnification, typically ranging from 5× to 100×. The objectives are commonly mounted on a revolving nosepiece and are designed to be parfocal, allowing the sample to remain in focus when switching between different objective lenses. Both the ocular and objective lenses work together to produce a highly magnified, enlarged image that is far enough from the observer to be easily viewed.

What is the relationship between mass and momentum? Be specific as you describe the relationship between mass and linear momentum as well as how mass affects the moment of inertia in angular momentum.

Answers

Momentum is proportional to mass.

This is the more the mass the higher the momentum.

Linear momentum, p  = mass * velocity, so you can see the direct relation: at constant velocity if the mass is duplicted the linear momentum is duplicated.

Angular momentum, L = moment of inertia * angular velocity.

So the moment of inertia is to the angular momentum as mass is to the llinear momentum.

Moment of inertia takes into account how the mass is distribuited around the rotation axis.

A wooden block has a mass of 20.0 kg and a specific heat of 1700 J/kg °C. Find the change in thermal energy of the block as it warms from 15.0°C to 25.0°C.

Answers

m = 20.0kg, the mass of the block.
c = 1700 J/(kg-°C), the specific heat
ΔT = 25 - 15 = 10 °C = 10 K, the change in temperature.

The change in thermal energy is
[tex]Q = (20.0 \, kg)*(1700 \, \frac{J}{kg-C} )*(10 \, C) = 340 \times 10^{3} \, J[/tex]

Answer: 340 kJ (or 340,000 J)

Final answer:

The change in thermal energy of a wooden block with a mass of 20.0 kg and a specific heat of 1700 J/kg°C warming from 15.0°C to 25.0°C is 340,000 Joules (or 340 kJ).

Explanation:

To find the change in thermal energy of the block as it warms from 15.0°C to 25.0°C, we can use the formula for specific heat capacity, which is Q = mcΔT. Here, Q represents the thermal energy transferred, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

For the given wooden block, we know:

Mass (m) = 20.0 kgSpecific heat (c) = 1700 J/kg°CInitial temperature (T1) = 15.0°CFinal temperature (T2) = 25.0°CChange in temperature (ΔT) = T2 - T1 = 25.0°C - 15.0°C = 10.0°C

Now we can calculate the change in thermal energy:

Q = mcΔT = (20.0 kg)(1700 J/kg°C)(10.0°C) = 340,000 J

Therefore, the change in thermal energy of the wooden block is 340,000 Joules (or 340 kJ).

Which statement describe velocity and acceleration

Answers

what are the choice?

On a grid, what is the distance between two points located at (1, 1) and (8, 4) roughly equal to?

a. 9

b. 3.40

c. 7.61

d. 6.89

Answers

ithink the answer is a

What are 2 ways objects interact after a collision?

Answers

Mommentum is transferred but d object wit a lower Mommentum moves in d direction of the object with the higher Mommentum

Julia throws a ball vertically upward from the ground with a speed of 5.89 m/s. Andrew catches it when it is on it's way down at a height of 1.27 m from the ground. After how much time does andrew catch the ball?

Answers

5.89 divided by 1.27 equals 4.6 seconds

What do we mean when we say that 50 million tons of coal could replace the use of 0.6 MBPD (million barrels per day) of oil used over a year?

Answers

This statement simply implies that the 50 million tons of coal will produce the same energy output in one year as the 0.6 million barrels per day of oil. Assuming coal is more plentiful than oil, this is significant as 50 million tons is much smaller than 219 million barrels of oil.

The diagram shows a side view of a skateboard ramp.



At which labeled points would the skateboarder have the most kinetic energy?

W and X
X and Y
Y and Z
W and Z

Answers

The diagram shows a side view of a skateboard ramp.

At which labeled points would the skateboarder have the most kinetic energy?

a. W and X

b. X and Y

c. Y and Z

d. W and Z

Here's the picture for everyone :0

The skateboarder will have the most kinetic energy at point X and Y.

Kinetic energy is the energy possessed by an object due to its motion. Kinetic decreases with decrease in speed of the object.

K.E = ¹/₂mv²

In the given diagram, the skateboard will have have the highest speed at point X and Y. Kinetic energy is directly proportional to speed  

Thus, we can conclude that the skateboarder will have the most kinetic energy at point X and Y.

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A student sits at rest on a piano stool that can rotate without friction. the moment of inertia of the student-stool system is 4.1 kg·m2. a second student tosses a 1.5 kg mass with a speed of 2.3 m/s to the student on the stool, who catches it at a distance of 0.42 m from the axis of rotation. what is the resulting angular speed of the student and the stool?

Answers

As we Know ω=v/r I2 = m*R² = 1.5*0.35² = 0.18375 kgâ™m² I = Is + I2 = 4.28375 kgâ™m² w = L/I = (v*R*m)/I = (2.8*0.35*1.5)/4.28375 = 0.343 rad/sec So the answer is 0.343 rd/sec
Final answer:

The resulting angular speed of the student and the stool system after catching the tossed mass is 0.354 rad/s, calculated using the conservation of angular momentum.

Explanation:

To find the resulting angular speed of the student and the stool after catching the mass, we need to apply conservation of angular momentum since no external torques act on the system. Initially, the system (student and stool) is at rest, so the initial angular momentum is 0. Upon catching the mass, the student-stool system gains angular momentum from the tossed mass.

The angular momentum of the tossed mass just before it is caught is given by L = mvr, where m is the mass of the object, v is its tangential velocity, and r is the distance from the axis of rotation to where the mass is caught. Plugging in the given values, L = (1.5 kg)(2.3 m/s)(0.42 m) = 1.449 kg·m²/s. This is the angular momentum that the system will have after the mass is caught because of the conservation of angular momentum.

To find the angular speed ω of the student-stool system after catching the mass, we use the equation L = Iω, where I is the moment of inertia of the system, and rearrange it to ω = L/I. The moment of inertia of the system remains 4.1 kg·m² since we are told to ignore any potential changes due to the mass being caught. Thus, ω = 1.449 kg·m²/s / 4.1 kg·m² = 0.354 rad/s.

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Which planet is approximately 20 times farther from the sun than earth is answer\?

Answers

The answer is Uranus. Its farthest distance from the Sun (aphelion) as point of reference is approximately 3 billion kilometers. Whereas Earth's distance from the Sun is about 150 million kilometers. Dividing Earth's distance to sun with the Uranus' distance to the Sun will give us the quotient of 20. Hence, Uranus is the planet that is 20 times farther from the Sun than the Earth is.

Final answer:

The planet which is approximately 20 times farther from the Sun than Earth is Uranus, orbiting the Sun at an average distance of about 19.8 AU.

Explanation:

The question at hand is: Which planet is approximately 20 times farther from the sun than Earth is? To answer this, we can refer to the concept that the light a planet receives from the Sun decreases with the square of the distance from the Sun. Considering the average distance from Earth to the Sun is about 150 million kilometers (1 Astronomical Unit, AU), a planet that is 20 times farther from the Sun would be at 20 AU.

In our solar system, the planet that falls into this category is Uranus, which orbits the Sun at an average distance of approximately 19.8 AU. This makes Uranus about 20 times farther from the Sun than Earth is, hence receiving much less sunlight compared to Earth.

If a new wave arrives on shore every two seconds, then its frequency is 2 hz (

a. True

b. False)?

Answers

The answer would be FALSE because HZ means hertz which is a cycle PER second, not every two seconds so this is NOT true.

Answer: B)

What causes friction between two solid forces? After the roughness of the surfaces, what most affects the frictional force experienced

Answers

friction is caused by two solids rubbing together quickly.

The radius of the earth's very nearly circular orbit around the sun is 1.5 1011 m. find the magnitude of the earth's velocity, angular velocity, and centripetal acceleration as it travels around the sun. assume a year of 365 days. (a) the earth's velocity

Answers

The radius of Earth's circular trajectory is
[tex]R=1.5*10^{11} m[/tex]
The time for the Earth to travel around the Sun is
[tex]t=365(days)*24(hours)*3600(seconds) =3.1536*10^7 (s)[/tex]
Thus the velocity is velocity
[tex]v=2\pi R/t =2\pi *1.5*10^{11}/(3.1536*10^{7})=2.99*10^4 (m/s)[/tex]
From this we can deduce the centripetal acceleration
[tex]a=v^2/R =(2.99*10^4)^2/(1.5*10^{11}) =5.96*10^{-3} (m/s^2)[/tex]
Angular velocity is
[tex]\omega =v/R =(2.99*10^4)/(1.5*10^{11})=2*10^{-7} (rad/s)[/tex]

Final answer:

The earth's velocity as it orbits the sun is about 2.99 * 10⁴ m/s. The angular velocity is approximately 7.27 *10⁻⁷ rad/s, and the centripetal acceleration is around 5.93 m/s².

Explanation:

The earth's velocity (V), angular velocity (ω), and centripetal acceleration (A) can be calculated using the radius of the earth's orbit (r) around the sun and the period of orbit (T).

1. Earth's velocity:
As the earth orbits the sun, it covers a distance of 2πr (the circumference of a circle) in one complete orbit (T). Using the formula V = Δd/Δt, where Δd is the displacement in distance and Δt is the change in time, we can find earth's velocity to be approximately 2π* (1.5 *10¹¹ m)/(1 year) = 2.99 * 10⁴ m/s.

2. Angular velocity:
The earth's angular velocity can be determined by angular displacement over time. Since the earth completes 2π radians in one period of orbit (1 year), ω = Δθ/Δt = 2π/T , which when converted to SI units is approximately 7.27 *10⁻⁷ rad/s.

3. Centripetal acceleration:
Centripetal acceleration is determined using the formula A = V²/r. Using V = 2.99 * 10⁴ m/s and r = 1.5 * 10¹¹ m, we find A is approximately 5.93 m/s².

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A 98 kilogram man is accelerating forward at a rate of 1.2 m/s2. What is the unbalanced force necessary to produce the movement?

Answers

Answer : The unbalanced force necessary to produce the movement is, 117.6 N

Solution :

Force : It is defined as the force is equal to the product of the mass of an object and the acceleration of an object.

Formula used :

[tex]F=m\times a[/tex]

where,

F = force

m = mass = 98 Kg

a = acceleration = [tex]1.2m/s^2[/tex]

Now put all the given values in the above formula, we get the unbalanced force necessary to produce the movement.

[tex]F=(98Kg)\times (1.2m/s^2)=117.6\text{ Kg }m/s^2=117.6N[/tex]

Therefore, the unbalanced force necessary to produce the movement is, 117.6 N

Final answer:

The unbalanced force necessary to produce the movement of a 98-kilogram man accelerating forward at a rate of 1.2 m/s² is 117.6 Newtons.

Explanation:

The unbalanced force necessary to produce the movement of a 98-kilogram man accelerating forward at a rate of 1.2 m/s² can be calculated using Newton's second law of motion:

F = m x a

Where F is the force, m is the mass, and a is the acceleration.

Substituting the given values:

F = 98 kg x 1.2 m/s²

F = 117.6 N

Therefore, the unbalanced force necessary to produce the movement is 117.6 Newtons.

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A foul ball is hit straight up into the air with a speed of a bout 25 m/s (a) how high does it go? (b) how long is it in the air

Answers

The relevant equations we can use in this problem are:

d = v0 t + 0.5 a t^2

v^2 = v0^2 + 2 a d

 

a. how high does it go?

We are to find for the distance d. The formula is:

v^2 = v0^2 + 2 a d

where v is final velocity = 0 at the peak, v0 = 25 m/s, a is negative gravity since opposite to direction = - 9.8 m/s^2, d is height achieved = ?

 

0 = (25)^2 + 2 (-9.8) d

d = 31.89 m

 

Therefore the maximum height is about 31.89 meters

 

b. how long is it in the air

We use the formula:

d = v0 t + 0.5 a t^2

in going up, a = -g = -9.8 m/s^2, find for time t:

 

31.89 = 25 t + 0.5 (- 9.8) t^2

-4.9 t^2 + 25 t = 31.89

t^2 – 5.1 t = 6.51

Completing the square:

(t – 2.55)^2 = 6.51 + 6.5025

t – 2.55 = ± 3.61

t = -1.06, 6.16

Since time cannot be negative, therefore:

t = 6.16 seconds

 

However this is not the total time yet, because this only accounts for the time going up.

The time going up and going down are equal therefore:

t(total) = 2 t

t(total) = 12.32 seconds

 

Therefore the foul ball spent 12.32 seconds in the air.

Why is the term free market often a misnomer?

Select the best answer from the choices provided.
Because you have to pay for the goods and service you want.
Because the term often refers to trade agreements which contain many regulations.
Because Adam Smith believed the government should control the economy.
Because a command economy is free of government interventions.
NextReset

Answers

The best answer is no.2 "Because the term often refers to trade agreements which contain many regulations".

Misnomers are names or words that suggest meaning known to be wrong. They are often still convenient and originate from an earlier time. The term "free market" refers to trading on an open market. The earliest markets were unregulated but the global market (and/or most markets) today are highly regulated by government trade agreements and taxation so the term "free market" is a misnomer.

The path of a table tennis ball after being hit and hitting the surface of the table can be modeled by the function h = -4.9t(t-0.42) where h is the height in meters above the table and t is the time in seconds. How long does it take the ball to hit the table? What is the ball's maximum height?

Answers

The height (m) at time t (s) is
h(t) = -4.9t(t - 0.42) = -4.9t² + 2.058t

When the ball hits the surface of the table, h = 0.
Therefore
-4.9t(t - 0.42) = 0
t = 0, or t = 0.42 s

The interval between the two times is 0.42 s.

At maximum height, the velocity, v, is zero.
Therefore
v(t) = h'(t) = -9.8t + 2.058 = 0
t = 0.21 s
The maximum height is
-4.9*(0.21)² + 2.058(0.21) = 0.216 m

Answers:
(a) It takes 0.42 s to hit the table.
(b) The maximum height is 0.216 m


An organism lives in the darkest aquatic ecosystem, where light cannot reach. Which ecosystem is this organism most likely in?

Answers

The deep sea vents at the very bottom of the ocean. The thermal vent communities as otherwise stated. 

In the darkest aquatic ecosystem, light cannot reach in the The open ocean .

What is Dark aquatic ecosystem?

Aquatic ecosystems, which include wetlands, rivers, lakes, and coastal estuaries, are vital to human economy and health as well as crucial components of Earth's dynamic processes.

Wetlands are the link between land and water, operating as natural filters to filter out pollutants, control flooding, and serve as cnidiaries for a variety of aquatic animals.

Estuaries, lakes, and rivers are crucial hubs for transportation, recreation, and biodiversity. Wetlands, rivers, lakes, and coastal estuaries are all aquatic ecosystems—critical elements of Earth’s dynamic processes and essential to human economies and health.

Therefore, In the darkest aquatic ecosystem, light cannot reach in the The open ocean .

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The theory of color vision proposed by thomas young that says color perception results from mixing three distinct color systems is called the _____.

Answers

It is called the Trichromatic Theory
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