I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"
Answer and Explanation:
There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week
To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.
49 weeks×5 shifts= 245 shifts per operator per year
365×3 shifts= 1095 shifts per year
1095/245=4.5 operators per shift
total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14
total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928
Answer:
See explanation
Step-by-step explanation:
For every question that comes your way, the first step is to understand the question.
The next, is to convert the word problems into algebraic expressions.
Lastly, you solve the expression accordingly.
Take for instance.
Ade has half a dozen eggs. How many dozen does Ade have?
We understand that; half means ½ and a dozen means 12.
So, the expression is
½ * 12 = 6 eggs
100. This is very easy thanks teacher
Answer:
![32,24,18,\frac{27}{2} ,\frac{81}{8}](https://tex.z-dn.net/?f=32%2C24%2C18%2C%5Cfrac%7B27%7D%7B2%7D%20%2C%5Cfrac%7B81%7D%7B8%7D)
Step-by-step explanation:
Let x, y , and z be the numbers.
Then the geometric sequence is ![32,x,y,z,\frac{81}{8}](https://tex.z-dn.net/?f=32%2Cx%2Cy%2Cz%2C%5Cfrac%7B81%7D%7B8%7D)
Recall that term of a geometric sequence are generally in the form:
![a,ar,ar^2,ar^3,ar^4](https://tex.z-dn.net/?f=a%2Car%2Car%5E2%2Car%5E3%2Car%5E4)
This implies that:
a=32 and ![ar^4=\frac{81}{8}](https://tex.z-dn.net/?f=ar%5E4%3D%5Cfrac%7B81%7D%7B8%7D)
Substitute a=32 and solve for r.
![32r^3=\frac{81}{8}](https://tex.z-dn.net/?f=32r%5E3%3D%5Cfrac%7B81%7D%7B8%7D)
![r^4=\frac{81}{256}](https://tex.z-dn.net/?f=r%5E4%3D%5Cfrac%7B81%7D%7B256%7D)
Take the fourth root to get:
![r=\sqrt[4]{\frac{81}{256} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B81%7D%7B256%7D%20%7D)
![r=\frac{3}{4}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3%7D%7B4%7D)
Therefore ![x=32*\frac{3}{4} =24](https://tex.z-dn.net/?f=x%3D32%2A%5Cfrac%7B3%7D%7B4%7D%20%3D24)
![y=24*\frac{3}{4} =18](https://tex.z-dn.net/?f=y%3D24%2A%5Cfrac%7B3%7D%7B4%7D%20%3D18)
![z=18*\frac{3}{4} =\frac{27}{2}](https://tex.z-dn.net/?f=z%3D18%2A%5Cfrac%7B3%7D%7B4%7D%20%3D%5Cfrac%7B27%7D%7B2%7D)
Answer:
Step-by-step explanation:
<u>Simplify:</u>
- √5(√8 + √18) =
- √5*8 + √5*18 =
- √40 + √90 =
- √4*10 + √9*10 =
- 2√10 + 3√10 =
- (2 + 3)√10 =
- 5√10
<u>The value of a:</u>