Answer:
The maximum cost is 41 dollars per necklace.
Step-by-step explanation:
The average cost in dollars/necklace is given by :
.....(1)
Where
x is the number of necklaces that are created
To maximize the cost, find the value of x by putting dC/dx = 0

Now put the value of x = 7 in equation (1).

Hence, the maximum cost is 41 dollars per necklace.
Answer:
A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.
Such that each input can be mapped into only one output.
So for example, if we have a relation that maps the input 2 into two different values:
f(2) = 4
f(2) = 8
Then this is not a function.
In the case of the problem, we have a student as the input, and the hair color as the output.
So we will have something like:
f(student) = blond
And if this student decides to change his/her hair color to red?
Then the function becomes:
f(student) = red
So for the same input, we had two different outputs, which means that this is not a function.
We also could have the case where a given student has two colors (Californian for example)
Where again, we would see two different outputs for one single input.
Answer:
P = 42.84 cm
Step-by-step explanation:
A half-circle is joined to an equilateral triangle with side lengths of 12 units.
We need to find the perimeter of the resulting shape.
The perimeter of the half cirle is πr.
The diameter of the circle is 12. It means radius is 6 units.
An equilateral triangle has 3 equal sides. So, perimeter of the triangle is given by :
P = πr + 12 +12
= 3.14(6) + 24
= 42.84 cm
Hence, the perimeter of the resulting shape is 42.84 cm.
Answer:
Step-by-step explanation:
You're looking for the circumference here, which is the distance around the outside of a circle. The formula is
C = πd or C = 2πr
Since we are given the diameter, we will use that one:
C = (3.14)(18) so
C = 56.5 feet
Answer:
You will get 13 groups.
Step-by-step explanation:
324 / 24 = 13.5 So there are 13 groups with 5 left over. Hope this helps.