Answer:
Problem 1:
a. x=2
b. x=3
c. x=1
Problem 2:
A multiplication equation to hold the table true:

A division equation to hold the table true:

Step-by-step explanation:
Given in problem 1:
(a). The equation is 
It holds true for all values of
.
Let us say
,
which is greater than 1.
(b). The equation is 
It holds true for all values of
.
Let us say 
which is less than 1.
(c). The equation is 
It holds true for only
.
Let us say
,
which is equal to 1.
Problem 2:
A multiplication equation to hold the table true:

A division equation to hold the table true:

Therefore these are the values which hold true to the equation in problem 1 and 2.
Suppose we let
, so that
.
Also, recall the double angle identity for cosine:

So, we can rewrite and compute the integral using the substitution, as





Answer:
To break even it must be molded 1280 handles weekly.
The profit if 1500 handles are produced and sold is $440
Step-by-step explanation:
To break even, the amount of total cost must be the same as the amount of revenues.
Total Cost is Fixed cost plus unitary variable cost multiplied by the produce quantity.
Total cost= FC + vc*Q
Where
FC=Fixed cost
vc=unitary variable cos
Q=produce quantity
Revenue= Price * Q
Break even FC + vc*Q=Price * Q
Isolating Q
FC=(Price * Q)-(vc*Q)
FC=(Price-vc) * Q
Q= FC/(Price-vc)
Q= $2560/($3.00-$1.00)=1280
If we sold 1500 handles
Profit = Revenue- Total cost =(Price * Q)-(FC + vc*Q)
P=$3.00 *1500-$2560 - $1.00*1500=
P=$4500-$2560-$1500=440
Answer:36
Step-by-step explanation:
I actually just answered this problem on a website the answer is 36.
Answer:
the perimeter is 36
Step-by-step explanation: