Answer:
The plot of the function production rate m(t) (in kg/min) against time t (in min) is attached to this answer.
The production rate function M(t) is:
![m(t)=[H(t)\cdot10+H(t-20)\cdot5-H(t-80)\cdot14+H(t-81)\cdot9]kg/min](https://tex.z-dn.net/?f=m%28t%29%3D%5BH%28t%29%5Ccdot10%2BH%28t-20%29%5Ccdot5-H%28t-80%29%5Ccdot14%2BH%28t-81%29%5Ccdot9%5Dkg%2Fmin)
(1)
The Laplace transform of this function is:
![\displaystyle m(s)=[\frac{10+5e^{-20s}-14e^{-80s}+9e^{-81s}}{s}]kg/min](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%28s%29%3D%5B%5Cfrac%7B10%2B5e%5E%7B-20s%7D-14e%5E%7B-80s%7D%2B9e%5E%7B-81s%7D%7D%7Bs%7D%5Dkg%2Fmin)
(2)
Explanation:
The function of the production rate can be considered as constant functions by parts in the domain of time. To make it a continuous function, we can use the function Heaviside (as seen in equation (1)). To join all the constant functions, we consider at which time the step for each one of them appears and sum each function multiply by the function Heaviside.
For the Laplace transform we use the following rules:
![\mathcal{L}[f(x)+g(x)]=\mathcal{L}[f(x)]+\mathcal{L}[g(x)]=F(s)+G(s)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5Bf%28x%29%2Bg%28x%29%5D%3D%5Cmathcal%7BL%7D%5Bf%28x%29%5D%2B%5Cmathcal%7BL%7D%5Bg%28x%29%5D%3DF%28s%29%2BG%28s%29)
(3)
![\mathcal{L}[aH(x-b)]=\displaystyle\frac{ae^{-bs}}{s}](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5BaH%28x-b%29%5D%3D%5Cdisplaystyle%5Cfrac%7Bae%5E%7B-bs%7D%7D%7Bs%7D)
(4)
The benefits of observing good safety measures in relation to an increase in productivity within a pharmaceutical laboratory is that the act of adhering to all these policies helps a lot of employees to hinder the spills of chemicals and other kinds of accidents, as well as reduce the damage to the environment that is outside of the lab.
<h3>What are the benefits of practicing safety in the laboratory?</h3>
A laboratory is known to be one that is known to have a lot of potential risks that is said to often arise due to a person's exposure to chemicals that are corrosive and toxic, flammable solvents, high pressure gases and others.
Therefore, A little care and working in line to all the prescribed safety guidelines will help a person to be able to avoid laboratory mishaps.
Therefore, The benefits of observing good safety measures in relation to an increase in productivity within a pharmaceutical laboratory is that the act of adhering to all these policies helps a lot of employees to hinder the spills of chemicals and other kinds of accidents, as well as reduce the damage to the environment that is outside of the lab.
Learn more about safety measures from
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Answer:
Answer explained below
Explanation:
The value of here is 9
The value of there is hexadecimal value of DECO here, d = 0x39 aaaa (aaaa is the memory address of here )
We have the object code :-
let's take there address is 0x0007
0x0005 BR there :- 0x120020
0x0007 here: .WORD 9
310003 there: DECO here,d - 0x390007
310005 STOP
.END
Answer:
Explanation:
Lets do this in python, our function will import an array of double numbers, then it sort the array out, drop the first and last items, aka highest and lowest score. Finally, it averages the last 3 numbers by calculate the sum and divide by the number of items
def calculate_score(scores):
scores.sort() # sort it so that the lowest is at index 0 and the highest is at last index
drop_highest_lowest = scores[1:-1] # this will drop the lowest and highest number
average_score = sum(drop_highest_lowest)/len(drop_highest_lowest)
return average_score
