Answer:
Step-by-step explanation:
It is given that, 
We need to find the value of 
As 
Solving LHS

Now comparing the coefficients of 
In LHS the coefficient of 
 is 25
In RHS the coefficient of 
 is 
It implies that, 
So, the value of 
 is 25.
 
        
             
        
        
        
Answer:
associative
Step-by-step explanation:
u switched parentheses
 
        
             
        
        
        
Answer:
Step-by-step explanation:
What is the question? 
g(x) = -0.5x² + 4x - 2 is a down-opening parabola. Do you need to know how to put it in vertex form?
vertex (4,6)
focus (4,5.5)
 
        
             
        
        
        
So Volume of cylinder is pi*r^2*h = 1,000 
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h 
So now you have 2 equations, so: 
h = 1,000/(pi*r^2) 
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r 
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0 
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3) 
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h 
<span>h = 10 / pi^(1/3)</span>
        
             
        
        
        
Answer:
225
Step-by-step explanation:
5^-2 can be rewritten as 1/25.
Then we can divide 1/25 by 9. 9/(1/25)= 225