When two variables are directly proportional, it means that as one variable increases, the other variable also increases at a constant rate. In mathematical terms, this relationship can be expressed as y = kx, where y is one variable, x is the other variable, and k is a constant value.
Being proportional means that if you change one by a given factor, the other will change by that factor as well. Being proprtional to both means it is proportional to their product, i.e. momentum equals mass times velocity, p = mv.
Saying that the law of gravity is universal means that it applies to all objects with mass in the universe. It states that every object in the universe is attracted to every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Thus, gravity affects all objects, no matter their size or location.
Coulomb's law states that the electrostatic force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The force depends on the magnitude of the charges and the distance separating them.
A heavier object experiences a greater gravitational force than a lighter object, as the force of gravity is directly proportional to the mass of an object.
When an object is vibrating, the energy associated with its motion is considered kinetic energy. This energy is a result of the object's movement and is directly proportional to its velocity.
The greek letter "alpha" (α) for both. If x is directly proportional to y, you could say x α y. For inversely proportional, you would say something like x α 1/y, or x α y^-1, as in, directly proportional to the inverse.
y=54 if x=6 so we can write y=9(x) so y=k(x) clearly y is directly proportional to x.
Being proportional means that if you change one by a given factor, the other will change by that factor as well. Being proprtional to both means it is proportional to their product, i.e. momentum equals mass times velocity, p = mv.
Inversely proportional to resistance is the current (I) in a circuit, as per Ohm's law: V = I * R, where V is voltage, I is current, and R is resistance. When resistance increases, current decreases, and vice versa.
It is a special kind of linear function wear the line on a graph goes straight through the origin. If x is directly proportional to y, then it means that for a value of x, y = cx, where c is some constant. For example, if a slice of pizza costs a fixed cost (say 1 dollar), then the cost of your pizza meal is directly proportional to the number of slices you order. (Cost = 1 times number of slices.)
X = YY = X=======these are directly proportionalX = 1/YY = 1/X========these are inversely proportionalTry a few inserted numbers and graph these to see, visually, the difference.
Not quite. In liquids, the relationship between pressure and volume is not as simple as in gases, where there is a direct proportionality. In liquids, the relationship between pressure and volume is influenced by factors such as density and temperature, in addition to volume. So, it is not accurate to say that pressure is directly proportional to volume in liquids.
Hit it harder, it goes further. That is to say that force is directly proportional to the distance travelled.
equal ratios say for every bag, you get 5 balls or 1/5 say that now you have 10 bags, you now have 50 balls 1/5 = 10/50 PROPORTIONAL
To say that an equation is directly proportional is somewhat incorrect. What we say instead is that a variable on one side of the equation (in other words, on one side of the equals sign) is directly proportional to another variable on the other side.What this means is that if when one variable increases (gets bigger), the other one does, too, then these variables are directly proportional to each other.For example, take the equation for velocity.v = d/tHere, v is velocity, d is distance, and tis time. Lets try a few numbers.v = 100 miles/2 hours = 50mi/hr.v = 200 miles/2 hours = 100mi/hr.v = 400 miles/2 hours = 200mi/hr.What you may notice here is that as the value of d (the number of miles being traveled), gets bigger, so does the value of v (velocity, or speed, in miles/hour). This is because, in this equation, velocity is directly proportional to distance.
Specific resistivity is directly proportional to area of cross section of the conductor and specific conductivity is the inverse of specific resistivity. So we can say , Specific conductivity is directly proportional to area of cross section of the conductor.
The two are unrelated. In an electromagnetic wave, the photon's energy is directly proportional to the frequency, and thus inversely proportional to the wavelength, but that doesn't say anything about the total energy in the wave (which may consist of billions of photons).