Answer:
A^2 + B^2 = C^2.
Step-by-step explanation:
Answer:
no solutions (cannot solve)
Step-by-step explanation:
3 (-n + 4) + 5n = 2n
-3n + 12 + 5n = 2n
2n + 12 = 2n
0n = 12 (no sense)
Answer:
5 gallons per fish
Step-by-step explanation:
Your first answer is correct because anytime a line passes through the origin, it is proportional.
To find the number of gallons per fish, we can take the first point which is (2, 10) and divide it by 2; (2÷2, 10÷2) = (1, 5)
This means that for every fish you get, you will need 5 gallons of water to meet the requirement.
Best of Luck!
Answer:
18.973665961
Step-by-step explanation:
Answer:
h = f(t) = -15cos((π/5)t) +20
Step-by-step explanation:
If you like, you can make a little table of positions:
(t, h) = (0, 5), (5, 35)
Since the wheel is at an extreme position at t=0, a cosine function is an appropriate model:
h = Acos(kt) +C
The amplitude A of the function is half the difference between the t=0 value and the t=5 value:
A = (1/2)(5 -35) = -15
The midline value C is the average of the maximum and minimum:
C = (1/2)(5 + 35) = 20
The factor k satisfies the relation ...
k = 2π/period = 2π/10 = π/5
So, the function can be written as ...
h = f(t) = -15cos((π/5)t) +20