Answer:
/
Step-by-step explanation:
firstly we make two steps to simplify this question.
1st step: simplify 
to simplify this we use factorization


.....(1)
2nd step:simplify 


.....(2)
now dividing (1) and (2), we get the answer

Answer:
29
Step-by-step explanation:
x+11÷8=5
5 × 8 = 40
40- 11 = 29
29 + 11 ÷ 8 =5
Answer:
Step-by-step explanation:
Because you have to take the L.C.M ,
-9/5 - 1
=( -9-5)/5
= -14/5
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Answer:
100
Step-by-step explanation:
This is formula fot completing the square:
(b/2)^(2)
(-20/2)^(2)
100
Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:

In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus,
. We use this to find k.







Then

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So


The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.