Answer:
The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.
Step-by-step explanation:
The amount of water in the tank after 15 days is given by the series
910+(−710)+810+(−610)+⋯+310+(−110)+210
From the series, we can observe that, if water is added for a particular day then water will be drained the following day.
Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.
Hence, we can complete the series thus:
910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210
To evaluate this, we get
910-710+810-610+710-510+610-410+510-310+410-210+310-110+210
= 1610.0 gallons
Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.
Sense we are wanting to find <u>
how many were miss</u>
, then, we are practically going to subtract the following:
![\boxed{76-100}= \ \left[\begin{array}{ccc}\bf{24\end{array}\right]](https://tex.z-dn.net/?f=%5Cboxed%7B76-100%7D%3D%20%5C%20%20%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cbf%7B24%5Cend%7Barray%7D%5Cright%5D%20)
So, from this begin understood, we would then combine both the penalties that were shotted, to the onces that weren't.
So, b subtracting these both, we would grab the result, and then smash that with the number of the penalties that were made in.
Your answer:
Answer:
1- 
2- 1
3- -2
Step-by-step explanation:
1-
Add the numbers : 
Reduce the fraction with 5 :
Solution :
2-
Calculate the difference: 
Divide: 1
Solution: 1
3-
Subtract the numbers: 
Reduce the fraction : -2
Solution: -2
Answer:
f(5) = 44
Step-by-step explanation:
f(x) = 3|x+11| -4
let x =5
f(5) = 3|5+11| -4
= 3|16| -4
= 3*16 -4
= 48 -4
= 44
Step-by-step explanation:
Let's look at A(x) and see how it is different from f(x)
- it is shifted downwards by 8 units
- it is not shifted to the left or the right
Therefore A(x) = f(x) - 8
Let's look at B(x) and see how it is different from f(x)
- it is not shifted downwards or upwards
- it is shifted to the left 7 units
Therefore B(x) = f(x + 7)
Let's look at C(x) and see how it is different from f(x)
- it is shifted upwards by 4 units
- it is shifted to right by 5 units
Therefore C(x) = f(x - 5) + 4
Let's look at D(x) and see how it is different from f(x)
- it is not shifted downwards or upwards
- it is not shifted to right by 12 units
Therefore D(x) = f(x - 12)
