For an exponential function:
General equation of exponential decay is A(t)=A0e^-at
The definition of a half-life is A(t)/A0=0.5, therefore:
0.5 = e^-at
ln(0.5)=-at
t= -ln(0.5)/a
For exponential growth: A(t)=A0e^at
Find out an expression to relate A(t) and A0 and you solve as above
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Suppose we have two linear equations in two unknowns. If the equations are plotted on a rectangular grid, the graph will fit one of these scenarios: 1) The two lines cross each other (intersect). 2) The two lines don't cross - they are parallel lines 3) The two lines fall on top of each other - they're really the same line. In case 3) the two lines are dependent - one can be changed into the other. In cases 1) and 2) we say the lines are independent. If the pair of equations has a solution (one or more points in common) we say they are consistent ... cases 1) and 3). In case 2) the system is inconsistent; there is no solution. To summarize: 1) Intersecting lines are consistent and independent. 2) Parallel lines are inconsistent and independent. 3) Coincident ["happen together"] lines are consistent and dependent. *** A second order linear system CANNOT be both dependent and inconsistent.
Graphing an inequality such as y > mx + b is similar to graphing the equation y = mx + b, with a couple of differences:Since it is not equal, you draw a dashed line, rather than a solid line.If y is greater than: shade the area above the dashed line; less than: shade below the dashed line.Since it's a system of linear inequalities, you will wind up with different shaded areas which overlap, creating a bounded area.These types of problems usually come from some sort of real-world situation, such as finding optimum products from limited resources. Example is a farmer has a fixed number of acres to plant (or can use for cattle grazing, instead). Some crops grow faster than others, so time in-season is a limiting factor. Other things, such as money (how much to be spent on seed, watering, fertilizer, people or equipment to harvest, etc.)The areas which overlap represent the scenarios which are possible with the given resources. Then you can look at the graph and figure out where there is a maximum profit for example.
Cindy and Dan together have 20 apples. Cindy has 2 more apples than Dan. How many apples does Dan have? That's just one of the many basic scenarios where a system of equations would come in handy.
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You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.You can have as many scenarios as you want. There is no limit.
Which of the following scenarios depict a workgroup network
Scenarios - album - was created on 2007-06-27.
Scenarios of Violence was created on 1996-03-19.
Future Foe Scenarios was created on 2007-05-21.
What are the scenarios?
To unlock all the scenarios in Zoo Tycoon 1 DS, you need to complete all the scenarios of the previous difficulty - yes, ALL of them. -GROAN-
a example of a
Scenarios is the plural form.
Scenarios from the Sahel - 2001 was released on: USA: 15 February 2001 (Pan African Film Festival)