Answer:
1/4 + 1/4 + 1/4 or 1/8 +1/8 +1/8 +1/8 +1/8 +1/8
Step-by-step explanation:
To decompose a fraction simply means to take it apart. The most basic way to decompose a fraction is to break into unit fractions, which is when the numerator (top number) is 1. We can see that 6/8 is the same as the unit fraction 1/8 six times.
Answer:
434,470 gallons
Step-by-step explanation:
The exponential equation for the volume v remaining after t hours can be written as ...
v(t) = (initial amount)×(decay factor)^(t/(decay time))
v(t) = 500,000×(1 -10%)^(t/3)
Then after 4 hours, the remaining volume is ...
v(4) = 500,000×(0.90^(4/3)) ≈ 434,470 . . . . gallons
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<em>Comment on the form of the equation</em>
The decay factor is related to the decay rate by ...
decay factor = 1 - (decay rate)
and the decay time is the time applicable to that decay rate. Here, the rate is 10% every 3 hours, so the decay time is 3 hours for a decay rate of 10%.
Answer:
(0, -6) (-7, 9)
Step-by-step explanation:
I recommend watching a khan academy video, its how I learned, cause I don't really know how to explain it on here
Answer:
The country's population for the year 2030 is 368.8 million.
Step-by-step explanation:
The differential equation is:
Integrate the differential equation to determine the equation of P in terms of <em>t</em> as follows:
At <em>t</em> = 0 the value of <em>P</em> is 300 million.
Determine the value of constant C as follows:
It is provided that the population growth rate is 1 million per year.
Then for the year 1961, the population is: P (1) = 301
Then .
Determine <em>k</em> as follows:
For the year 2030, P (2030) = P (70).
Determine the value of P (70) as follows:
Thus, the country's population for the year 2030 is 368.8 million.