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Answer:
1) Recursive definition: ![p_n = (50,000)3^n](https://tex.z-dn.net/?f=p_n%20%3D%20%2850%2C000%293%5En)
2) At the beginning of the 4th interval
Explanation:
1)
The initial population of the bacteria at time zero is
![p_0 = 50,000](https://tex.z-dn.net/?f=p_0%20%3D%2050%2C000)
Here we are told that the reading is taken every two hours; we call this time interval "n", so
![n=2 h](https://tex.z-dn.net/?f=n%3D2%20h)
And also, after every time interval n, the number of bacteria has tripled.
This means that when n = 1,
![p_1 = 3 p_0](https://tex.z-dn.net/?f=p_1%20%3D%203%20p_0)
And when n=2,
![p_2 = 3 p_1 = 3(3p_0)=9 p_0](https://tex.z-dn.net/?f=p_2%20%3D%203%20p_1%20%3D%203%283p_0%29%3D9%20p_0)
Applied recursively, we get
![p_n = 3^n p_0](https://tex.z-dn.net/?f=p_n%20%3D%203%5En%20p_0)
And substituting p0,
(1)
2)
Here we want to find at the beginning of which interval there are
![p=1,350,000](https://tex.z-dn.net/?f=p%3D1%2C350%2C000)
bacteria.
This means that we can rewrite eq.(1) as
![1,350,000=(50,000)3^n](https://tex.z-dn.net/?f=1%2C350%2C000%3D%2850%2C000%293%5En)
By simplifying,
![27=3^n](https://tex.z-dn.net/?f=27%3D3%5En)
Which means that
![n=3](https://tex.z-dn.net/?f=n%3D3)
However, this means that the number of bacteria is 1,350,000 after 3 time intervals; therefore, at the beginning of the 4th interval.
Answer:
D) producers
Explanation:
In an ecosystem, as plants are termed autotrophs, they are the producers.
An ecosystem is made up of both living and non-living components which co-exists together.
- plants are classified as producers as they take inorganic substances from the environment to produce their own food.
- this food is taken up by other members of the ecosystem for their own nourishment too.
- they are the producers and consumers depends on them for nourishment.
Answer:
You must come in contact with the infected air. It spreads slower, and more than one person is usually affected at the same time.
Explanation: