Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
For, m=1
L HS=2×1×(3×1+2)
=2×(5)
=10
It is not divisible by 4.
⇒For Negative Integers
For, m= -1
L HS=2×(-1)×[3×(-1)+2]
=-2×(-3+2)
= (-2)× (-1)
=2
It is not divisible by 4.
False Statement.
Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
= 
= 
= 
= 
= 
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.
Answer:
Option B
Step-by-step explanation:
From the question we are told that:
Demand point 
Supply Point 
Generally the equation for fixed-requirement constraints is mathematically given by



Therefore the correct option is
Option B
What do we do? Is there a attachment?