Answer:
Step-by-step explanation:
110_5
Answer:
A ; 23rd century
Step-by-step explanation:
Here, we want to select which of the options is next to have a descending year.
Since all are in the same century i.e 20-something, we do not have an issue with the first digit.
What we need to work on is the last three digits;
We can have 2210, we can have 2321, we can have 2432, we can also have 2543 and so on.
The most recent of all these is the year 2210, so what century does this belong?
Kindly note that, the years 2001-2100 belong to the 21st century.
The years 2101-2200 belong to the 22nd century while the years 2201-2300 belong to the 23rd century
The year we are looking to place is the year 2201 and thus belongs to between 2201-2300 which is the 23rd century
The Mean Absolute Deviation is - 0 +0+0+1+3+8 = 24/ 6 which would = 4 that's the answer to your question .
Hope that it helps .
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
