Answer:
fixed - monthly rent, car payment, savings for new guitar
variable - movies, video games, snacks
Step-by-step explanation:
Fixed costs are costs that do not vary with output.
the amount of rent paid is fixed.
Variable costs are costs that vary with production
the amount paid at the movies depend on the number of movies watched
<span>The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal
</span><span>u.v = |u| x |v| cos (theta) ; theta is the angle between them
we know from above that u.v = 120
|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29
so we know:
theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees</span><span>
</span>
Story: Maria is hosting a birthday party for her friend. she handed out 212 balloons for each kid to hold but there was 10 left. X shoes the total amount of balloons.
solving the equation:
x+212=10
-212 +212
x=222
Answer:
Second Option and Fourth Option
Step-by-step explanation:
We know that:
Then:
Also:
For the sum of angles identity:
Then:
![cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)}{sin^2(\theta)}[1-2sin^2(\theta)]\\\\cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)[1-2sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2\frac{cos^2(\theta)[sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2cos^2(\theta)](https://tex.z-dn.net/?f=cot%5E2%28%5Ctheta%29cos%282%5Ctheta%29%20%3D%20%5Cfrac%7Bcos%5E2%28%5Ctheta%29%7D%7Bsin%5E2%28%5Ctheta%29%7D%5B1-2sin%5E2%28%5Ctheta%29%5D%5C%5C%5C%5Ccot%5E2%28%5Ctheta%29cos%282%5Ctheta%29%20%3D%20%5Cfrac%7Bcos%5E2%28%5Ctheta%29%5B1-2sin%5E2%28%5Ctheta%29%5D%7D%7Bsin%5E2%28%5Ctheta%29%7D%5C%5C%5C%5Ccot%5E2%28%5Ctheta%29cos%282%5Ctheta%29%20%3Dcot%5E2%28%5Ctheta%29%20-%202%5Cfrac%7Bcos%5E2%28%5Ctheta%29%5Bsin%5E2%28%5Ctheta%29%5D%7D%7Bsin%5E2%28%5Ctheta%29%7D%5C%5C%5C%5Ccot%5E2%28%5Ctheta%29cos%282%5Ctheta%29%20%3Dcot%5E2%28%5Ctheta%29%20-%202cos%5E2%28%5Ctheta%29)
She can sell 15 one-year subsrciption, But you lack the graphs to choose from.
