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3 years ago

Use DeMorgan's laws to write a negation for the statement "the Hulk is green or the Iron Man is red"

Mathematics

1 answer:

erastova [34]3 years ago

7 0

Answer:

"The Hulk is not green AND the Iron Man is not red"

Step-by-step explanation:

DeMorgan's laws state that the negation of an statement whose structure is "p OR q" is "not p AND not q", and similarly, that the negation of an statement whose structure is "p AND q" is "not p OR not q". The statement we want to negate in our case is "The Hulk is green OR the Iron Man is red". This is an statement whose structure is of the type "p OR q", where p would be "The Hulk is green", and q would be "the Iron Man is red". So according to DeMorgan's laws, its negation should be the statement "not p AND not q". To put them in common english, not p would be "The Hulk is NOT green", and not q would be "The Iron Man is NOT red". So the statement "not p AND not q" is simply "The Hulk is not green AND the Iron Man is not red".

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Very confusing help i dont understand

jasenka [17]

Answer:

12.8 servings

Step-by-step explanation:

$1\frac{1}{4}$ cups of milk is used to make 10 servings of a recipe.

If $1\frac{1}{4}$ cups or $\frac{5}{4}$ cups of milk is used to to make 1 serving.

Then 1 cup of milk will be required to make servings = $\frac{1}{\frac{5}{4}}$

= $\frac{4}{5}$

Since, 1 gallon = 16 cups

Therefore, 16 cups of milk will be required for servings = $\frac{4}{5}\times 16$

= 12.8 servings

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3 years ago

Which statement about the slope of a line is true?

Fudgin [204]

Answer:

B) A line with a positive slope increases as it is viewed from left to right.

Step-by-step explanation:

A line with a positive slope increases as it is viewed from left to right.

A positive slope means that as a line on the line graph moves from left to right, the line rises.

Hope this helps :)

8 0

2 years ago

A formula is given that states 6x-k=wk. Solve this formula for k in terms of the other variables in the equation.

nadya68 [22]

Answer:

k = 6x/(w + 1)

Step-by-step explanation:

6x - k = wk

6x = wk + k

k(w+1) = 6x

k = 6x/(w + 1)

3 0

3 years ago

Abs(sin(x) - sin(y)) ≤ abs(x-y)

barxatty [35]

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3 years ago

1- find the first term= ?, 90, 540, 3240

Luda [366]

Answer:

1. 15

2. 8

Step-by-step explanation:

The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)

The nth term of a GP is;

Tn = ar^(n-1)

Where;

a = first term

r = common ratio

For the first sequence;

The common ratio r is

r = T3/T2 = 540/90 = 6

r = 6

T2 = ar^(2-1) = ar

T2 = 90 = ar

Substituting the values of r;

90 = a × 6

a = 90/6

a = 15

First term = 15

2. The sam method applies here.

Common ratio r = T3/T2 = 128/32 = 4

r = 4

T2 = ar^(2-1) = ar

T2 = 32 = ar

Substituting the values of r;

32 = a × 4

a = 32/4

a = 8

First term = 8

4 0

3 years ago