Answer:
-1
Step-by-step explanation:
The remainder of n/4 is 2
n/4 represents the exponent
For example if n=6 then when we divide 6/4 the remainder is 2
if n=6 then i^6 = i^4 * i^2 = 1* (-1) = -1
The value of i^2=-1
i^2 = -i
i^4= 1
So if the remainder of n/2 =2 then it means i^2 = -1
the value of i^n =-1
The first one- the rest don’t add up
We can see that lies just before 0, lies between 2 and 3m and lies between 4 and 5. So, we have
In particular, this implies that
So, the correct order would be
Answer:
8
Step-by-step explanation:
We use the equation for the percentage of solute concentration in a solution:
(1)
In this case the equiation (1) is transformed into:
(2)
n = number of times he must waves his wand to have a solution that is at least 34% DeMuggle juice.
Vpo = Initial volume of the magic potion = 2000ml
Vjo= Initial volume of DeMuggle juice = 30% * Vpo = (0.3)2000 = 600ml
Vb= Volume of a bottle = 25ml
Vjb = DeMuggle juice volume in a bottle = 75% * Vb = (0.75)25= 18.75ml
Vpmt = Total volume of the magic potion = 2000 + 25*n = Vpo + Vb * n
Vjt = Total volume of DeMuggle juice = 600 + 18.75*n = Vjo + Vjb * n
Replacing in (2):
Since the number of times the wand should be waved must be an integer, it approximates 8
Replacing n=8 in (1)
If they are proprtional which is what the ~ means then
BA/AC=ED/CD
42/x=6/(32-x)
solve
divide both sides by 6
7/x=1/(32-x)
multiply both sides by (x)(32-x)
7(32-x)=x
distribute
224-7x=x
add 7x to both sides
224=8x
divide both sides by 8
28=x
x=28