Example with numbers:
Y = X2
Y = (2)2
Y = 4
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So if Y is ( directly ) proportional to X2 when X is doubled Y is increased four times.
No, it will be quadrupled.
The ratio of areas is the square of the ratio of lengths. Ratio lengths = 1 : 2 → ratio areas = 1² : 2² = 1 : 4 → if the lengths are doubled, the areas of quadrupled (multiplied by 4).
To determine if mulch that costs a set amount to cover a square foot is proportional, you need to consider the relationship between the cost and the area covered. If the cost remains constant regardless of the area covered, then it is proportional. For example, if $1 covers 1 square foot, $2 covers 2 square feet, and so on, then it is proportional. However, if the cost changes based on the area covered, then it is not proportional.
The area increases as the square of the radius (or diameter). So if you double the radius you * 4 (quadruple) the area. Treble the radius, you *9 the area.
None. There is no perfect square that, when doubled, equals 60.
If the amplitude of a sound wave is doubled, the intensity of the sound wave will increase by a factor of four. This is because intensity is proportional to the square of the amplitude of the wave.
if INVERSELY proportional then y = 1/X^2 ( that is, 1 divided by x squared) If X doubles then X SQUARED increases as 2 x 2 = 4 times SINCE Y = 1/x^2 then Y DECREASES 4 times
When the distance between two objects is doubled, the strength of gravity decreases to one-fourth of its original value. This is because gravity follows an inverse square law, where the gravitational force is inversely proportional to the square of the distance between the objects.
If the magnitude of both charges is doubled and the distance between them is also doubled, the force between them will remain the same. This is because the force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Doubling both charges and distance cancels each other out in terms of force.
If the distance between two particles is doubled, the electric force between them decreases by a factor of 4. This is because the electric force is inversely proportional to the square of the distance between the particles, according to Coulomb's Law.
This statement is not accurate. In reality, when speed is doubled, the braking distance is quadrupled, not doubled, assuming all other factors remain constant. This is because the braking distance is directly proportional to the square of the initial speed.
four times. Kinetic energy is directly proportional to the square of the velocity of an object, so if the velocity is doubled, the kinetic energy will be four times greater.
Kinetic energy is directly proportional to the square of the momentum. Therefore, if the momentum is doubled, the kinetic energy will increase by a factor of four.
When the amplitude of a wave is doubled, the energy in the wave increases by a factor of four. This is because the energy in a wave is directly proportional to the square of the amplitude. So, if the amplitude is doubled, the energy will increase by a factor of four.
If the velocity of a body is doubled, its kinetic energy will increase by a factor of four. This relationship is because kinetic energy is proportional to the square of the velocity. Additionally, the momentum of the body will also double.
four times the initial value
When a car's speed is doubled, its kinetic energy increases by a factor of four. This is because kinetic energy is proportional to the square of the velocity.