Answer:
We can estimate a population of 500 birds.
Step-by-step explanation:
We can estimate the total bird population using a rule of three with the information given:
If we find 5 birds with the foot band among 100 birds captured, how many birds there are in total if inicially we put foot bands in 25 birds?
5 birds with foot band -> 100 birds captured
25 birds with foot band -> X total birds
X * 5 = 25 * 100
X = 25 * 100 / 5 = 500 birds
We can estimate a population of 500 birds.
Answer: Amount of 35% solution required = 100 milliliters
Amount of 87% solution required = 30 milliliters
Step-by-step explanation:
Given: Total solution required = 130 milliliters
Let x = Amount of 35% solution (in milliliters).
Then, Amount of 87% solution required = 130 - x
As per given,
Concentration = 0.35x +0.87(130-x)=0.47(130)

Hence, Amount of 35% solution required = 100 milliliters
Amount of 87% solution required = 130-100 milliliters =30 milliliters
Answer:
1:4
Step-by-step explanation:
Since the shape is a quadrilateral, the interior angles add to 360 degrees. Thus, angle C is 360 - 82 - 92 - 102 = 84 degrees.
Substitution: n² = t
1 ) t² - 10 t + 24 = t² - 6 t - 4 t + 24 =
= t ( t - 6 ) - 4 ( t - 6 ) = ( t - 6 ) ( t - 4 ) =
= ( n² - 6 ) ( n² - 4 )
2 ) t² - 9 t + 18 = t² - 6 t - 3 t + 18 =
= t ( t - 6 ) - 3 ( t - 6 ) = ( t - 6 ) ( t - 3 ) =
= ( n² - 6 ) ( n² - 3 )
The restrictions: n² ≠ 6, n² ≠ 3, n ≠ +/- √6, n≠ +/-√3
Simplification: