M=1.25
c=0.6
I got this by creating a systems of equations and I used the substitution method
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
Answer:

Step-by-step explanation:
A correlation coefficient is a number ranging from -1 and 1 that measures the strength and direction of a linear relationship.
- If it is a negative number, the linear relationship is also negative. If it's positive, the relationship is positive.
- The closer it is to -1 or 1, the stronger the relationship.
Since the question only asks for the strongest relationship and does not ask for the direction (positive/negative), we can simply choose the number closest to -1/1. Therefore, the answer is -0.92.
Answer:


Step-by-step explanation:
The common ratio is 1.5 50 * 1.5 = 75, 75 * 1.5 = 112.5 etc.