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Kobotan [32]
4 years ago
5

Use De Morgan’s laws to write negations to the following statements:

Mathematics
2 answers:
saveliy_v [14]4 years ago
8 0

Answer: The negations are:

1. The train is not late and my watch is not fast.

2. Dogs don't bark or cats don't meow.

Step-by-step explanation:

Hi!

De Morgan's laws for two propositions P and Q are:

1. ¬(P ∨ Q) = (¬P) ∧ (¬Q)

2. ¬(P ∧ Q) = (¬P) ∨ (¬Q)

where the symbols are,

¬ = not

∨ = or

∧ = and

1. In this case the proposition is P ∨  Q, with

P = "the train is late"

Q = "my watch is fast"

Then by law 1:  ¬(P ∨ Q) =  "The train is not late and my watch is not fast"

2. In this case the proposition is P  ∧ Q, with

P = "dogs bark"

Q = "cats meow"

Then by law 2: ¬(P ∧ Q) = "Dogs don't bark or cats don't meow"

Paraphin [41]4 years ago
5 0

Answer:

2

Step-by-step explanation:

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3 = m/12<br>What is m?<br><br>It is for math
JulsSmile [24]

Answer:

m is equal to 36.

Step-by-step explanation:

To get rid of division, all you need to do is multiply both sides of the equation by the denominator, which is 12 in this case:

3 = \frac{m}{12}\\\\3 \times 12 = \frac{m}{12} \times 12\\\\36 = m

So m is equal to 36

3 0
3 years ago
Twelve friends share 4 pizzas equally. What fraction of a pizza does each friend get?
Sloan [31]

Answer:

1/4

Step-by-step explanation:

5 0
4 years ago
4) Which step could be completed in order to prepare the system of equations below for the elimination method?
borishaifa [10]

Answer:

Option C - Multiply the 1st equation by 2

Step-by-step explanation:

To find : Which step could be completed in order to prepare the system of equations below for the elimination method?

Solution :

1st equation: 5x-3y=10

2nd equation: 8x+6y=15

For elimination method,

We eliminate the y by multiplying 1st equation by 2 and add by 2nd equation.

i.e. 1st equation became  10x-6y=20

Add with 2nd equation,

10x-6y+8x+6y=20+15

18x=35

x=\frac{35}{18}

Substitute in (1),

5(\frac{35}{18})-3y=10

\frac{175}{18}-3y=10

3y=\frac{175}{18}-10

3y=\frac{175-180}{18}

3y=\frac{-5}{18}

y=\frac{-5}{54}

Therefore, the step  could be completed in order to prepare the system of equations below for the elimination method is option C.

3 0
4 years ago
What is this one??<br> -5-(15y-1)=2(7y-16)-y
sesenic [268]

Answer:

y=1

Step-by-step explanation:

Let's solve by opening the bracket first

-5-(15y-1)=2(7y-16)-y

Open the bracket

-5-15y+1=14y-32-y

Collect like terms

-5+1+32=14y-y+15y

-5+33=14y+14y

28=28y

Divide both sides by 28

y=1

Therefore the final answer is 1

3 0
3 years ago
HELP ASAPPPP!!!!You are making a picture frame in the craft cabin at summer camp. The frame measures 9 inches by 12
Greeley [361]

Answer:

yes

Step-by-step explanation:

euhm ... did u just asked if a figure with h=9inches and b=12inches is rectangular???

Does it matter what the diagonals are etc?

if the frame has angles of 90° and it has two different lengths then it has to be rectangular. The sides of a square would have the same lengths.

7 0
3 years ago
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