Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length = 
Base area = lb
= 
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24

Now, cost is

now we have to minimize C(x)
So, we need to compute the C'(x)

C"(x) 
now for the critical points, we will solve the equation C'(x) = 0


So, x is a point of minima that is
= 
Now, Base material cost is

= 139.75
Side material cost is

= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
Answer:

Step-by-step explanation:
The given equation is

For this function to have an inverse, we must restrict the domain, say 
We interchange x and y to get,

We now make y the subject to get;


We divide through by 16 to get;

We now take the square root of both sides to get;


Since
, the inverse function is

Wow this question is very difficult,hold up
Answer:
c .3.3
Step-by-step explanation:
pH is the negative log of the molar hydrogen ion concentration.The equation to calculate pH is;
pH = -log10[H+]
pH = -log10(5.0 x 10-4)
pH = 3.30