a. The independent variable is r. The dependent variable is m.
b. The domain is the set of numbers used in the independent variable. You can rent 0 videos, or 1 video, or 2 videos, etc., up to the amount of money you have. If you rent 0 videos, you are left with m = 30 - 3r = 30 - 3(0) = 30 - 0 = 30 dollars. If you rent 10 videos, you will have m = 30 - 3(10) = 30 - 30 = 0 dollars left. The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The range is {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30}. Both the domain and range are discrete.
c. I can't do it online.
7. 8n=40
n=5 bracelets
8. 20g=300
g=15 rounds of golf
Through exterior angle theorem we now that...
x+13+63=3x
2x=76
x=38
m<CVU=3x=114 degrees
A cube has all the sides equal.
A diagonal then acts as the hypotenuse of a face such that,
Sin 45° = Side/hypotenuse = Side/12.8 => Side = Hypotenuse * Sin 45 = 9.05 in
Volume = base*width*height = sides^3 (since all sides are equal) = 9.05^3 =741.22 in^3
To nearest tenth,
Volume = 741.2 in^3 {and correct answer is A)}