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In the long term, a quantity that grows exponentially will ALWAYS get larger, eventually, than a quantity that grows linearly, quadratically, or in fact, than any polynomial - basically, a quantity raised to any finite power, such as x cubed, x to the 20th power, etc.

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Q: How does a quantity that increases exponentially compare to a quantity that increases linearly or quadratically?
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Why do gases that make less than 1 percent of the atmosphere affects so much?

Quantity and impact are not linearly related. A microscopic amount of plutonium, if inhaled, is likely to kill you while rooms full of "normal" air will have no ill effect.Quantity and impact are not linearly related. A microscopic amount of plutonium, if inhaled, is likely to kill you while rooms full of "normal" air will have no ill effect.Quantity and impact are not linearly related. A microscopic amount of plutonium, if inhaled, is likely to kill you while rooms full of "normal" air will have no ill effect.Quantity and impact are not linearly related. A microscopic amount of plutonium, if inhaled, is likely to kill you while rooms full of "normal" air will have no ill effect.


What is the difference between proportional and non proportional relationship?

In mathematics, or physics, if one quantity is proportional to the other, that means that if one quantity increases by a certain factor, the other quantity increases by the same factor. For example, if"y" is proportional to "x", and "x" increases by a factor 10, then "y" must also increase by a factor 10. Any relationaship that does NOT follow this rule is NOT proportional.


Which data will most likely show a negative correlation when graphed on a scatterplot?

Negative correlation which is downhill from left to right occurs when one quantity increases while the other quantity decreases.


What is the difference between linear and nonlinear?

Ans:when two quantities depend on each other (like speed and distance), then when an amount increase in one quantity causes a corresponding amount increase or decrease in the other quantity that is the same regardless of the value at which the measurement was taken, then that's linear.Sounds a big horrible.OK, if you drew a graph of one quantity against another, it would form a straight line, and we say it increases or decreases (depending on whether the graph is increasing or decreasing) linearly. it means in creases with a power of 1, with a common ratio for increasing values of x.OK, what if it was y= ax^2? This is not linear, because it increases with a power of 2.A linear line takes the form y = mx +cwhere m is the ratio and c determines the point the graph cuts the x=0 line.


When It is a function which occurs between two quantities such that when one quantity increases the other one increases in a definite way?

There are many such functions. For example, any function of the form y = x^a where a is an odd positive integer will do.

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