The species of butterfly that is shown is; Papilio polyxenes.
<h3>What are the species of butterflies?</h3>
Butterflies usually are identified by the colors and patterns shown on their wings. However, for us to identify an organism using a dichotomous key, we must compare the traits of the organism to the first pair of descriptive statements on the key as follows;
1) A swallowtail butterfly is either classified as Papilio glaucus ( where the wings are mainly yellow) or Papilio polyxenes(where the wings are mainly black)
Now, the image of the butterfly given shows that the wings are mainly black, and as a result, we will say that the butterfly specie is called Papilio Polyxenes.
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Based on the information given, it has been computed that the activation energy will be 105.8Kj.
<h3>How to calculate activition energy</h3>
From the information given,
T1 = 25 + 273 = 298K
T2 = 35 + 273 = 308J
R = 8.314J/mol
K2/K1 = 4
Therefore,
log(4) = E/(2.303 × 8.314) × [10/(298 × 308)]
= (0.602 × 2.303 × 8.314 × 298 × 308) / 10
= 105.8KJ
Therefore, the activation energy is 105.8KJ.
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The dimensions of the smaller holding pens from the parameters given are; 96 ft and 31 ft
<h3>What dimensions will maximize the area?</h3>
From the complete question, if the side lengths of the big rectangle are x and y, then the expression for the area A is:
A = x*y
Then perimeter since we have 384 ft of fencing available is;
2x + 2y = 384
y = (384 - 2x)/2
y = 192 - x
Put 192 - x for y in area formula;
A = x(192 - x)
A = 192x - x²
Completing the square of this are equation gives;
A = 9216 - (x - 96)²
This means that A is maximum at x - 96 = 0
Thus, A is maximum when x = 96 ft
At A_max; y = 192 - 96 = 96 ft
Since the area of the bigger rectangle has been maximized, it means that we have also maximized the area of the smaller pens. Therefore its' dimensions will be;
x_small = 96 ft/3 = 31 ft
y_small = 96 ft
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