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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.


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 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.


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.


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

By a factor of 9. Gravitational force is inversely proportional to the square of the distance.By a factor of 9. Gravitational force is inversely proportional to the square of the distance.By a factor of 9. Gravitational force is inversely proportional to the square of the distance.By a factor of 9. Gravitational force 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.


The gravitational force is proportional to?

Newton's Law of Universal Gravitation states that the force of gravity directly proportional to product of the two masses&inversely proportional to square of the distance between them


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.


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.


How much is gravity reduced as distance increases?

Gravity is inversely proportional to the square of the distance.


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 does the Coulomb's law stated?

The repulsive force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them.


What is columb law?

the force of attraction or repultion betweentwo charges is directly proportional to the product of the charge and inversely proportional to square of thedistance between them