To solve for 
, we need to isolate it on one side of the equation.
The most important part of this is knowing that whatever we do to one side of the equation, we must also do to the other.
Subtract 32 from both sides of the equation.
Divide both sides of the equation by 
.
12000 > 3000+25x Or you can write it out as (12000-3000)/25=x
The answer is 114sqrt{6} in³
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
Answer:
Option A is correct, i.e. 12.
Step-by-step explanation:
Given is the table of x&y relationship which represents an exponential function.
The average rate of change for a function can be found using the following formula:-
F_average = { f(b) - f(a) } / (b-a)
Given a = 3 and b = 5.
From the table, f(3) = 8 and f(5) = 32.
So, F_average = (32-8)/(5-3)
F_average = 24/2 = 12.
Hence, option A is correct, i.e. 12.
