Exercise 1:
The easiest way to compute powers of complex numbers is to write them in the form
In this form, you have
The magnitude of the number is given by
So, we have
As for the angle, we have
So, we have
Finally,
Exercise 2:
You simply have to compute the trigonometric function:
So, we have
Let 't' represent the time of the walk in minutes.
5.1*t = 220
t = 43.14 min
The person needs to walk at least 43.14 minutes to but at least 220 calories.
The solution exist for the given equation are
x=-2
and
x=11/3
<h3>
Answer: (n-1)^2</h3>
This is because we have a list of perfect squares 0,1,4,9,...
We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.
In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.
You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".
All of this only applies to sequence A.
side note: n is some positive whole number.
If each blue tile has 5 sides and you know you have 3 blue tiles you can multiply 5 by 3
5 x 3 = 15 sides
Next you know the total number of sides is 30 and you just figured out that your 3 blue tiles have a total of 15 sides so you can subtract 15 from 30 to find how many sides are left
30 - 15 = 15sides
Since you know that these are not blue tiles because in the question it stated that you have 3 blue tiles. These have to be sides for red tiles.
Each red tile have 3 sides so you can divide 15 by 3
15/3 = 5
There are 5 red tiles
You are the number 5
