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X=k/square of y

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Q: How can you wrote a mathematical expression that shows that x is inversely proportional to the square of y?
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How do you apply inverse variation to problems?

If one value of a variable increases as another value of a different variable decreases in a mathematical equation, they are said to be inversely proportional or vary inversely. For example, the strength of the force of gravity decreases as the square of the interacting distance increases, so the strength of gravity is inversely proportional to the square of the distance, or strength ∝ 1/distance2.


What is the square root of helium?

Square root is a mathematical function whose argument needs to be a mathematical quantity or expression. Since helium is neither a mathematical quantity nor an expression, the question makes no sense.


How does frequency of a pendulum vary with its length?

The frequency of a pendulum is inversely proportional to the square root of its length.


What is indirectly proportional?

"indirectly proportional" appears to be interchangeable with "inversely proportional."When a dependent variable is inversely proportional to an independent variable, that means it decreases as the dependent one increases, and vice versa. For example, a baseball player's batting average is inversely proportional to the number of at-bats. (It's directly proportional to the number of hits he gets.) In other words, as the number of at-bats increases, the player's batting average decreases. Another example is gravitational attraction between two bodies. The gravitational force between two bodies is inversely proportional to the square of the distance between them.


How is frequency of a pendulum related to the length of the pendulum string?

The period of the pendulum is (somewhat) inversely proportional to the square root of the length.  Therefore, the frequency, the inverse of the period, is (somewhat) proportional to the square root of the length.

Related questions

What the relationship between mass and the amount of gravity that pulls 2 object together?

The gravity is proportional to both masses involved, and inversely proportional to the square of the distance.The gravity is proportional to both masses involved, and inversely proportional to the square of the distance.The gravity is proportional to both masses involved, and inversely proportional to the square of the distance.The gravity is proportional to both masses involved, and inversely proportional to the square of the distance.


Is gravity and distance conversely proportional?

No. The word is "inversely", not "conversely". And the force of gravity is inversely proportional to the square of the distance.


How do you apply inverse variation to problems?

If one value of a variable increases as another value of a different variable decreases in a mathematical equation, they are said to be inversely proportional or vary inversely. For example, the strength of the force of gravity decreases as the square of the interacting distance increases, so the strength of gravity is inversely proportional to the square of the distance, or strength ∝ 1/distance2.


What was mathematical principles of natural philosophers?

Every particle of the universe attracts every other particle with a force varying inversely as the square of the distance between them and directly proportional to the square of their masses.


By how many times would the gravitational force between two objects decrease if the distance between the two objects was tripled?

The gravitational force between two objects decreases by a factor of 9 if the distance between the objects is tripled. This is because the gravitational force is inversely proportional to the square of the distance between the objects.


The gravitational force is proportional to?

The gravitational force is proportional to the product of the two masses involved and inversely proportional to the square of the distance between them. This relationship is described by Newton's law of universal gravitation.


What type of relationship does increased distance and decrease gravity show?

Inversely proportional


What is the gravitational force relating to mass and distance?

Its proportional to the product of their masses, and inversely proportional to the square of their distance apart.


Is it true that thje force between any two bodies is inversely proportional to their masses?

No, the force between two bodies is not always inversely proportional to their masses. The force of gravity between two objects is actually directly proportional to the product of their masses and inversely proportional to the square of the distance between them.


Graham's law refers to?

Graham's law states that the rate of effusion of a gas is inversely proportional to the square root of its molecular weight.Graham's law states that the rate of effusion of a gas is inversely proportional to the square root of its molecular weight.


Is weight directly or inversely proportional to the distance?

Weight is inversely proportional to the square of the distance between two objects. This means that as the distance increases, the gravitational force between the objects decreases.


What is Gravitational Force directly proportional to?

Gravitational force is directly proportional to the product of the masses of two objects and inversely proportional to the square of the distance between them.