Answer:
If there are 26 letters and 10 digits allowed in each of 7 places.
Answer:
y=|x|
Here's a graph if needed.
This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.
Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,
- where a = start value, b = growth factor, t = time ( <em>variable quantity</em> )
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Thus, the function
can model this problem. The forest after t years should have P( t ) number of pine trees remaining.
Cot=cos/sin
so, it becomes sin^2+cos^2=1
that proves it