Answer:
Your answer for the above equation is D
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Answer:
The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.
Step-by-step explanation:
According to DeMorgan's Theorem:
(W.X + Y.Z)'
(W.X)' . (Y.Z)'
(W'+X') . (Y' + Z')
Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.
For the original function:
(W . X + Y . Z)'
= (1 . 1 + 1 . 0)
= (1 + 0) = 1
For the compliment:
(W' + X') . (Y' + Z')
=(1' + 1') . (1' + 0')
=(0 + 0) . (0 + 1)
=0 . 1 = 0
Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.
Without the parenthesis the compliment equation looks like this:
W' + X' . Y' + Z'
1' + 1' . 1' + 0'
0 + 0 . 0 + 1
Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.
Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.
Answer:
Total length after 33 days will be 117 miles
Step-by-step explanation:
A construction crew is lengthening a road. The road started with a length of 51 miles.
Average addition of the road is = 2 miles per day
Let the number of days crew has worked are D and length of the road is L, then length of the road can represented by the equation
L = 2D + 51
If the number of days worked by the crew is = 33 days
Then total length of the road will be L = 2×33 + 51
L = 66 + 51
L = 117 miles
Total length of the road after 33 days of the construction will be 117 miles.
Answer:
The required simplest form is: 
Step-by-step explanation:
We have been given Kyle has 125 marbles.
And 50 out of total 125 are red and rest of them are other colours
that means other colour marble are 125-50=75
we need to find ratio of the number of red marbles to the total of marbles
The rat
io is: 
The required simplest form is:
