Simply 3/4s - (6 - 3/4s)
2 answers:
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Answer:
The correct options, rearranged, are:
Options:
And the asnwer is the last option (D).
Explanation:
You need to find which long division can be used to prove the formula for factoring the difference of two perfect cubes.
The difference of two perfect cubes may be represented by:
And it is, as a very well known special case:
Then, to prove, it you must divide the left side, , by the first factor of the right side,
Note that, to preserve the places of each term, you can write:
Then, you have:
By the division property of equality, you can divide both sides by the same factor, which in this case will be the binomial, and you get:
That is the last option (D).
Answer:
Step-by-step explanation:
Initial Quantity of salt Q(0) = 100 kg
Capacity of tank = 1000 L
Inflow of liquid = 10 l /minute and outflow = same rate thus leaving the content of volume 1000 L at any time
Assume after entering constantly mixes and drains out.
Concentration flow = inflow - outflow
= 0.05(10) -
i.e. , Q(0) = 100
Use Q(0) = 5
-45 = A
So the equation would be
a) Initial concentratin =
b) Use the solution fo rDE substitute t =1
Q(1) = 50-45e^(-0.01) = 5.4477 kg
c) As t becomes large Q = 50
So concentration limit = 50/1000 = 0.05