Download the app photomath it shows you step by step :)
<span>"The company pays $55 a day for food and lodging and $0.45 for each mile traveled" means that if she travels
m miles and is on a trip for
x days then Rita will receive:
55x + 0.45m dollars.
Rita drove 300 miles, means that m=300. Thus </span>
55x + 0.45m becomes <span>
</span>

(dollars.)
She was reimbursed $2,335 means that

.
Part A:

.
Part B:
We are given the equation 55x+135=2,335. Subtracting 135 from both sides we have:
55x=2,335-135=2,200.
Dividing both sides by 55, we get: x=2,200/55=40.
Part C: since x represents the number of days Rita spend on this trip, and x=40, then Rita spent 40 days on this trip.
Answer:
We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:

Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.
we get :

where C(i) is a constant coefficient obviously between 0 and 1.

All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]
So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.
We already know the sum so it is easy to compute the average :

The answer is -|0.35 t -14| +14
<u>Step-by-step explanation</u>:
The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.
<span>The answer is (change of amount) / (change of time). For the change of amount, the numerator is 40 seagulls - 16 seagulls, leaving a total of 24 seagulls. For the change of time, the denominator is 3 pm - 1 pm, leaving a total of a 2 hour difference. The answer becomes 24 seagulls / 2 hours, or 12 seagulls per hour when simplified.</span>