The answer is 180 degrees. The rotation that maps one side
to an adjacent side is 360°/6 = 60°. This is the least rotation that plots
the regular hexagon to the aforementioned. In the least whole number of these
minimum rotations,
such as three 60° rotations to make 180°, will retain
the hexagon identical.
Let t=number of years since 1991.
Then
P(t)=147 e^(kt) ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715
Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
Answer:
the opposite of what is in the parentheses so -(-6) would just be 6
Question 1:
For this case we have an equation of the form:
Where,
- <em>k: inverse variation constant.
</em>
Then, substituting values we have:
From here, we clear the value of k.
We have then:
Answer:
the constant of inverse variation is:
Question 2:
For this case we have:
Where,
- <em>k: constant of variation.
</em>
Then, substituting the value of the constant we have:
We now substitute the value of x:
Answer:
the value of y when x = 4 is:
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