The trick is to realize what your choices are.
if m or n or both are divisible by 5, then 2mn will be divisible by 5
I don't know if you know about x mod(5), but in that case there can only be 4 possibilities for m and n
m mod (5) = +/- 2 or m mod(5) = +/- 1
In the first case m^2 = 4 mod(5) and in the second case m^2 = 1 mod(5) N has the same considerations.
If m and n have the same modular results (both are [say] 2 ) then m^2 - n^2 which be 0
If they are different, then (m^2 + n^2) mod 5 = 0
Answer: $375
Step-by-step explanation:
Given : The probability of winning $100 : P(100)= 0.25
The probability of winning $200 : P(200)= 0.50
The probability of winning $1000 : P(1000)= 0.25
Now, the the expected value of that lottery ticket is given by :-

Hence, the the expected value of that lottery ticket =$375
1. “ at this age , my baby will not cry because we are leaving.”
Answer:
45
Step-by-step explanation:
Answer:
A. A reflection over the x-axis and a vertical stretch.
Step-by-step explanation:
Let
, to obtain
, we need to use the following two operations:
(i) Vertical stretch
, 
(ii) Reflection over the x-axis

Let prove both transformations in
:
Step 1 - Vertical stretch (
)

Step 2 - Reflection over the x-axis

Hence, correct answer is A.