If we have the same base, we can do this:
(1/3)^4*(1/3)*7 = (1/3)^(4+7) = (1/3)^11
3^7/3^15 = (3^7)*(3*(-15)) = 3^(7 + (-15)) = 3^(-8) = 1/(3^8)
4^5*4^2 = 4^(5+2) = 4^7
The answer is 32 because the inscribed angle is 16 and the intercepted arc would be twice that since you have to half it in the formula.
The range is the set of possible images, i.e. "y".
So you can discard options "a" and "c".
2 is a possible image, and all the real numbes are.
Then the answer is "d. y | y is a real number"
(a.) constant of proportionality k
y = kx
y/x = k
use the point (1,30)
30 = k
The slope will be the same answer, theyre the same thing
use two points (1,30) and (2,60)
m = (60-30)/(2-1) = 30
(b.) The equation for the line is: y = 30x
18. Make the values have the same denominators.
4 2/3(8/8)= 112/24
5 3/8 (3/3)= 129/24
Add the values
112/24+129/24= 241/24
Simplify the answer
241/24= 10 1/24
The answer for question 10 1/24 ounces.
20. Multiply 1 1/4 by 5. (There are 5 days from Monday through Friday)
1.25(5)= 6 1/4
The answer to question 20 is 6 1/4.
Hope this helps!