Answer:
C
Step-by-step explanation:
First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

(If you were to plot the actual curve, you would have both
and
, but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)
The arc length is then given by the definite integral,

We have

Then in the integral,

Substitute

This transforms the integral to

and computing it is trivial:

We can simplify this further to

Answer:
First Integer = n = 45
Second Integer = n+1 = 45 + 1 = 46
And Third Integer = n+ 2 = 45 +2 = 47
Step-by-step explanation:
Let First integer = n
Second Integer = n+1
Third Integer = n+2
According to the question given (If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third) the equation will be:
138 - n = (n+1) + (n+2)
Solving the equation:
138 - n = n+1+n+2
138 - n = 2n+3
138 - 3 =2n +n
135 = 3n
135/3 = n
=> n= 45
So, First Integer = n = 45
Second Integer = n+1 = 45 + 1 = 46
And Third Integer = n+ 2 = 45 +2 = 47
Since Lori passes 80% of her tests you need to make sure that the randomizing device has 80% of the outcomes<span> assigned to passing and 20% of the </span>outcomes<span> assigned to failing. The correct answer is </span><span>Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.</span>