Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
Answer:
There are 20 million people in the labour force.
Step-by-step explanation:
There are 50 million people in the country.
30 million people are adults.
Out of the 30 million, 5 million are not interested in working. Assuming every adult does what he/she wants, then these 5 million are not working. The list then reduces to
30 - 5 = 25 million.
Another 5 million are interested in working but have given up looking for work. The list reduces to
25 - 5 = 20 million.
5 million people are working part time but would like to work full time. They are working, it doesn't matter if it is part time or full time, they are in the labour force.
10 million people are working full time. They are also in the labour force.
THERE ARE 20 MILLION PEOOLE IN THE LABOUR FORCE
To find the x int, we will sub in 0 for y and solve for x...um...r
- 2r + 1/2y = 18
-2r + 1/2(0) = 18
-2r = 18
r = -18/2
r = -9
so the x int is (-9,0)
Answer:
C. The distributive property
Step-by-step explanation:
The distributive property of binary activities is generalized in mathematics by the distributive law of Boolean algebra and elementary algebra. Distribution applies, in propositional logic, to two clear substitution laws. The rules allow one to reformulate, within logical facts, conjunctions and disjunctions.
