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).
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 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
four times the initial value
A is proportional to C4.
It becomes a bigger rectangle - possibly a square.
since kinetic energy is proportional to the square of velocity it is multiplied by 2 x 2 which is 4
No, it will be quadrupled.
Yes. Basically, the energy is proportional to the square of the amplitude.Yes. Basically, the energy is proportional to the square of the amplitude.Yes. Basically, the energy is proportional to the square of the amplitude.Yes. Basically, the energy is proportional to the square of the amplitude.
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.
The size of the force decreases. It is inversely proportional to the square of the distance.
Gravitational force is inversely proportional to the square of the distance. Therefore, double the distance = 1/22 = 1/4 the force.
the new area will be fourfold, not doubled. try it on squared paper and see how the shape increases from one square into four...
Kinetic energy is proportional to (depends upon) the square of the speed (velocity). If the speed is doubled then the KE is increased by a factor of 4 (2 squared).