Check the picture below.
recall the diameter is twice as long as the radius, thus d = 2r = 38.42 or rounded up to 38.
Answer
(-2,8)
Step-by-step explanation:
Answer:
22.2 pounds and 1g = 7.4p
Step-by-step explanation:
Lets go in an inverse sense, finding firstly the constant variation and then the weight of 3 gallons.
The constant variation is the relation between gallons of diesel volume and pounds of diesel weight. For thise we would like to find how many pounds of diesel weights 1 gallon. We have the following equality:
5 gallons = 37 pounds
Now, lets divide both sided by 5, as we know the equality will still:
5/5 gallon = 37/ 5 pounds
1 gallon = 7.4 pounds
So, this is the constant variations: every extra gallons weights 7.4 pounds. We could also do this in terms of pounds, which means, parting from:
5 gallons = 37 pounds
Divide both sides by 37:
5/37 gallons = 1 pound
0.081 gallons = 1 pound
Every extra pound means 0.081 more gallons.
Now, as we want the weight of 3 gallons we can use our first relation and multiplying by 3:
1 gallon = 7.4 pounds
3 gallons = 22.2 pounds
If you compare it to the parent function x^(1/3):
g(x) is just shifted 4 down and 2 to the right.
Therefore:
h = 2
k = -4
46.2
you do 70/100=x/66
then cross multiply so (70•66)=100x
then you get 4620=100x
then you divide both sides by 100 and get x=46.2