If you are solving by substituting A=50 and B=75
Answer:
The series diverges
Step-by-step explanation:
First, let's find the sequence:
As we can see, they are multiples of 4, so one possible sequence is:
Hence, we can represent the series as:
Let's use the zero test which states:
So:
Therefore, by the zero test, the series diverges
20/29
16/34
40/41
21/20
30/40
21/29
Answer:
See proof below
Step-by-step explanation:
Let 
. If w=-z, then r=0 and r is real. Suppose that w≠-z, that is, r≠0.
Remember this useful identity: if x is a complex number then 
where 
is the conjugate of x.
Now, using the properties of the conjugate (the conjugate of the sum(product) of two numbers is the sum(product) of the conjugates):
=
Thus 
. From this, 
. A complex number is real if and only if it is equal to its conjugate, therefore r is real.
Answer:
95.1
Step-By-Step Explanation
78:82*100 =
(78*100):82 =
7800:82 = 95.12
Now we have: 78 is what percent of 82 = 95.12
Question: 78 is what percent of 82?
Percentage solution with steps:
Step 1: We make the assumption that 82 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=82
Step 4: In the same vein, x%=78
Step 5: This gives us a pair of simple equations:
$100\%=82(1)
$x\%=78(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% over x% = 82 over 78
Step 7: Taking the inverse (or reciprocal) of both sides yield
x% over 100% = 78 over 82
x = 95.12%
Therefore, 78 is 95.12% of 82
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