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vagabundo [1.1K]
3 years ago
14

Can someone help me with this math homework please!

Mathematics
2 answers:
Dmitrij [34]3 years ago
6 0

Answer:

same after 3 years

because .............................

Leni [432]3 years ago
5 0

Answer:

The populations of orangutans will be same after 3 years

Step-by-step explanation:

Let the populations or orangutans is the same after n years

Decrease in population of oragnutans in the first study

=784-25n=784−25n

Decrease in population of oragnutans in the second study

=817-36n=817−36n

According to the question

784-25n=817-36n784−25n=817−36n

\implies 36n-25n=817-784⟹36n−25n=817−784

\implies 11n=33⟹11n=33

\implies 11n=33⟹11n=33

\implies n=\frac{33}{11}⟹n=

11

33

\implies n=3\text{ years}⟹n=3 years

Therefore, the populations of orangutans will be equal after 3 years

Hope this is helpful.

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Step-by-step explanation:

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x^4*3 = x^12

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According to DeMorgan 's theorem, the complement of W · X + Y · Z is W' + X' · Y' + Z'. Yet both functions are 1 for WXYZ = 1110
sergeinik [125]

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'

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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.

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3 years ago
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