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devlian [24]
2 years ago
14

What is 409/2 as a mixed number? :)

Mathematics
1 answer:
IrinaK [193]2 years ago
3 0

Answer: 204\frac{1}{2}  :)

Step-by-step explanation:

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Prove De Morgan's law by showing that each side is a subset of the other side by considering x ∈ A⎯⎯⎯ A ¯ ∩ B⎯⎯⎯ B ¯ .
adelina 88 [10]

Solution :

We have to prove that $\overline{A \cup B} = \overline{A} \cap \overline{B}$   (De-Morgan's law)

Let  $x \in \bar{A} \cap \bar{B}, $ then $x \in \bar{A}$ and $x \in \bar{B} $

and so $x \notin \bar{A}$ and $x \notin \bar{B} $.

Thus, $x \notin A \cup B$ and so $x \in \overline{A \cup B}$

Hence, $\bar{A} \cap \bar{B} \subset \overline{A \cup B}$   .........(1)

Now we will show that $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$

Let $x \in \overline{A \cup B}$ ⇒ $x \notin A \cup B$

Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.

$x \in \overline{A}$ and  $x \in \overline{B}$

Therefore, $x \in \overline{A} \cap \overline{B}$ and we have $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$  .............(2)

From (1) and (2),

$\overline{A \cup B} = \overline{A} \cap \overline{B}$

Hence proved.

3 0
3 years ago
I’m getting brainlest
cluponka [151]

Answer:

Female

Step-by-step explanation:

...look at those numbers dude

8 0
3 years ago
What is this? <br><br><br><br>What would be an equation for the graph?​
Travka [436]
Y=3000x+44000
You find slope by choosing two points and subtracting them.
Also try using Desmond
6 0
3 years ago
- 40 = -5r (algebra)
Gekata [30.6K]

Answer:

r=8

hope this helps

have a good day :)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
You have $55,000 in savings account that pays 2% intrest per year. The inflation rate that year is 3.24%. How much do you make i
Sever21 [200]
Your interest formula is given to you.

Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring)

Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100

How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise prices are going up faster than you're saving.

Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782

How much buying power did you lose? The difference between your required interest and your actual interest.
Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power.

Hope that helped :)
6 0
3 years ago
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