From calculus, to determine the maxima or minima of the graph, get the derivative of the equation and equate to zero. So, we derive first the equation of the graph and equate to zero.
C = 0.25x² - 80x + 30000
dC/dx = 0 = 0.5x - 80 + 0
0.5x = 80
x = 80/0.5
x = 160 units
The minimum cost (although not asked) is:
C = 0.25(160)² - 80(160) + 30000
C = $23,600
The answer is 160 units.
Answer:
A or the first answer is correct
Step-by-step explanation:
3650 - 2000 = 1650
1650 / (divided by) 150 = 11
you can also check your work by doing 150 *(times) 11 = 1650
1650 + 2000 = 3650
Answer:
A
Step-by-step explanation:
Begin with Euler's formula. I am assuming youre aware of this if youre taking complex algebra? You can prove Euler's formula by doing a Maclaurin expansion of cosine, sine, and e^x. Euler's formula states that:

We can put the first complex number in exponetial form by noticing the input is 2pi/3. The second complex number has an input of pi/3. Therefore:


Then:

Simplify the coefficients to get:

When you divide exponentials, you subtract the exponents. Therefore:

Put it back into trigonemtric form using Euler's formula:

Cosine of pi/3 is 0.5, and sine of pi/3 is square root of 3 over 2. We have:

When two exponents have the same base or factor such as 3^6 and 3^8 and are multiplied, the exponents are added together. The answer would be 3^14.
Answer:
AB=16
BC=15
AC=12
PQ=12
QR=12
PR=19
Step-by-step explanation:
well you know that the perimeter is the sum of all sides
so we have

so the sides are:






So there you are.