1/100,000,000 , note that 100,000,000 = 10⁸ , then:
1/100,000,000 = 1/10⁸
Remember that 1/aⁿ = a⁻ⁿ
Hence 1/100,000,000 = 1/10⁸ = 10⁻⁸
<h3>To find the product of 42.12 and 10^3, move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros</h3>
<em><u>Solution:</u></em>
Given that,

Which means,

Here, the exponent of 10 is positive ( which is 3)
When the exponent is positive, we have to move the decimal point to right
When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10
Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12
Therefore,

<em>Greetings!</em>
This is how your double number line should look:
(lbs) 0 1 2 3 4 5
↓-----↓-----↓-----↓-----↓-----↓
0 3.5 7 10.5 14 17.5 (dollars)
Hope this helps!
Answer:

Step-by-step explanation:
The logistic equation is the following one:

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
.
The number of fish tripled in the first year. This means that
.
Using the equation for P(1), that is, P(t) when
, we find the value of r.









Applying ln to both sides.


This means that the expression for the size of the population after t years is:
