Answer:
8685 butterflies
Step-by-step explanation:
Given the logistics growth function expressed as f(t)equals440 Over 1 plus 13.7 e Superscript negative 0.28 t which describes the population of a species of butterflies t months after they are introduced to a non threatening habitat, to know the number of butterflies expected butterflies are expected in the habitat after 20 months, we will substitute t = 20 into the function.
f(20) = 440/1+13.7exp-(0.28×20)
f(20) = 440/1+13.7exp-(5.60)
f(20) = 440/1+(13.7× 0.003698)
f(20) = 440/1+0.05066
f(20) = 440/1.05066
f(20) = 8684.9
This means there will be approximately 8685 butterflies in the habitat after 20months.
Since is arithmetic, it's given recursively by
where is a fixed number and is the starting term in the sequence. We have
and so on, so that
We're told that , so
and
so that
Then the first term in the sequence is :
and the sequence has general formula
The first negative term occurs for
The first negative term in the sequence is .
Answer:
451/2000 tonnes
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
1 tonne=1000 kg
451/2000 tonnes
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
Please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!
*Also comment below if this is wrong, I'm happy to try to correct! ^u^
Zero because when you divide the 2nd line by 3, you get x-5y=5, so they have the same slope and lines with the same slope are parallel. It's also easier to put it in slope-intercept form (y=mx+b) so here:
y= x(1/5) -2
y= x(1/5) -1
10^2+b^2=15^2
100+b^2=225
b^2=125
b= 11.18