Volume of the base = base area x height
512 = 3√3 / 2 a²h
h = 197/a², where a is the length of the side of the hexagonal base.
Answer:
Step-by-step explanation:
Your question is unclear. What are "major intercepts"?
x²/81 + y²/64 = 1
The major axis is horizontal.
0²/81 + y²/64 = 1
y-intercepts = ±8
x²/81 + 0/64 = 1
x-intercepts = ±9
Is 12 I think so !! try it
Answer:
Domain: 
Range: 
Step-by-step explanation:
Given
Required
Determine the domain and the range
Solving for domain:
From the question, we understand that t represent years.
Because years can't be negative;
Then, we can conclude that the domain, t is:
Solving for Range:
We solved domain to be
This implies that the minimum value of t is 
and the maximum is infinity
Substitute 0 for t in
Hence;
The range is
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution
We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ + v₂c₂
40(0.32) = 10(0.2) + 30c
