Can someone please help me with these questions!!!!

Mathematics

1 answer:

IgorLugansk [536]3 years ago

5 0

Answer: B

Step-by-step explanation:

The only labeled angle is 111

We can conclude that angle 3 is also 111

1 and 2 are both less than 90

Therefore, 1 is 69, 2 is 69, and 3 is 111

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Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species

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Answer:

$P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}$

Step-by-step explanation:

The logistic equation is the following one:

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that $P(0) = 80, K = 2000$ .