Answer:
The explicit solution of the initial value problem is 
Step-by-step explanation:
The step by step explanation is shown on the first uploaded image
Answer:
1
Step-by-step explanation:
All the numbers provided can have a factor of 1.
eg.)
1*24=24
1*14=14
1*21=21
This is because there is only one factor they all commonly share, 1.
Answer:
Step-by-step explanation:
Converte 80% into a decimal (devide it by 100) = 0.8
Then multiply 0.8 by 1.60 = 1.28 (final result)
Answer:
a) 0.4164
Step-by-step explanation:
Mean lifespan (μ) = 18.8 days
Standard deviation (σ) = 2 days
For any given lifespan 'X', the z-score is:

For X=12.04 days:

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.
For X=18.38 days:

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.
The probability that a butterfly lives between 12.04 and 18.38 days is

(c)
We notice that they already have common denominators, therefore we can just add the numerators up.
(x+y+x-y)/2xy=
2x/2xy
Dividing both top and bottom by 2x, we get
<h2><u><em>
1/y</em></u></h2>
-Hunter