Answer:
2m + 10n - 2p
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(4m + 7n - 6p) - (2m - 3n - 4p)
<u>Step 2: Simplify</u>
- Distribute negative: 4m + 7n - 6p - 2m + 3n + 4p
- Combine like terms (m): 2m + 7n - 6p + 3n + 4p
- Combine like terms (n): 2m + 10n - 6p + 4p
- Combine like terms (p): 2m + 10n - 2p
Now, the cosecant of θ is -6, or namely -6/1.
however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.
we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now

recall that

therefore, let's just plug that on the remaining ones,

now, let's rationalize the denominator on tangent and secant,
The speed of the car per minute is 3,520 feet (choice c). This is because in order to solve the problem, you have to convert 40 mi/h into feet. Since there are 5,280 feet per mile, you have to do 5,280 x 40, which is 211,200, which is the number of feet per hour. But, the question is asking for ft/min. There are 60 minutes in an hour, so you divide 211,200 by 60, which is 3,520. So, the speed of the car per minute is 3,520 feet.
Answer:
$4.33
Step-by-step explanation:
3 hours -> $13
1 hour -> $13/3 = $4.33
I got -28.08695652. It doesn't repeat nor does it terminate