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An exponential function can have negative y-values.
However, a real-world exponential decay model will never have negative values. Think of it this way... If you divide a positive number by 2 (or take half of it) and then divide that next number by 2, you will never reach or go below 0.
For Example:
20, 10, 5, 2.5, 1.25, 0.625, 0.3125, etc.
(Each number is half of the number before it.)
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Is the equation P500(1.03) with an exponent of n a model of Growth or Exponential Decay?
It can be growth or decay - it depends on whether n is positive (growth) or negative (decay).
What is an exponential model?
An exponential model is one in which the dependent variable, y, is related to the independent variable, x by a function of the formy = a*b^x or, equivalently, y = a*e^cx where a, b ad c are constants of the model and e is Euler's number, which is also the base of natural logarithms.
One's values are shaped by significant persons who model these values?
Transmitted
If a p-value has a negative number will it be larger than 0.05?
If a p-value is negative then there is something very seriously wrong - either with the probability model or your calculations.If a p-value is negative then there is something very seriously wrong - either with the probability model or your calculations.If a p-value is negative then there is something very seriously wrong - either with the probability model or your calculations.If a p-value is negative then there is something very seriously wrong - either with the probability model or your calculations.
How are exponential growth patterns similar to and different from linear growth patterns?
They are similar because the population increases over time in both cases, and also because you are using a mathematical model for a real-world process. They are different because exponential growth can get dramatically big and bigger after a fairly short time. Linear growth keeps going up the same amount each time. Exponential growth goes up by more each time, depending on what the amount (population) is at that time. Linear growth can start off bigger than exponential growth, but exponential growth will always win out.
Is the equation P500(1.03) with an exponent of n a model of Growth or Exponential Decay?
It can be growth or decay - it depends on whether n is positive (growth) or negative (decay).
What are three things exponential growth and exponential decay have in common?
both have steep slopes both have exponents in their equation both can model population
Can a substance ever decay to nothing?
Into nothing at all? No, but it can decay from one thing into another completely. Using the exponential function to model out decay is an accurate estimate for large quantities of a substance, but if there are only a few hundred particles or so of something, the process is discrete and not continuous, so the exponential model is inaccurate.
Who invented exponentail growth and exponential decay?
Reverend Thomas Malthus developed the concept of Exponential Growth (another name for this is Malthusian growth model.) However the mathematical Exponent function was already know, but not applied to population growth and growth constraints. Exponential Decay is a natural extension of Exponential Growth
Does the model of decay accurately represent the decay of a radioactive subsatnce?
Yes, the model of decay accurately represents the exponential decrease in the number of radioactive nuclei over time. This model is supported by experimental data and mathematical calculations. It is commonly used to predict the remaining amount of a radioactive substance at any given time.
What is a population in which exponential growth is limited by a density dependent factor?
the answer must be exponential growth model.
How does logistic model of population growth differ from exponential model?
follow the society of light
How is the data represented on a scatter plot that depicts an exponential model?
In a scatter plot that is an exponential model, data can appear to be growing in incremental rates. In this type of model the data will only cross the Y-axis at one point.
What is a CODIT model?
Compartimentalisation Of Decay In Trees
What is the validity of projections of an arithmetic graph of an exponential growth?
The validity of the projection depends on the validity of the model. If the model is valid over the domain in question then the projection is valid within that domain. If the model is not then the projection is not. And that applies to all kinds of graphs - not just exponential.
The exponential model of population growth applies?
The exponential model of population growth applies when a population grows at a constant rate without any limiting factors. It assumes unlimited resources and ideal conditions for growth. While suitable for short-term predictions in some situations, this model often oversimplifies real-world population dynamics.
Compare the exponential model and the logistic model of population growth. (?
An exponential model has a j-shaped growth rate that increases dramatically over a period of time with unlimited resources. A logistic model of population growth has a s-shaped curve with limited resources leading to a slow growth rate.
