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Gelneren [198K]
3 years ago
14

Which statement would produce a tautology? A. p q B. p q C. p p D. q p

Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer: C. p = p

<u>Step-by-step explanation:</u>

A tautology is a statement that is always true.

A. p = q

This is not always true. Counterexample: p = 1 & q = 2

B. p = q

This is the same as A (above)

C. p = p

This is ALWAYS true!

D. q = p

This is the same as A but in reverse order.

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A sine function increasing through the origin can be used to model light waves. Violet light has a wavelength of 400 nanometers.
andrew11 [14]

Answer:

(2) (100, 300)

Step-by-step explanation:

One wave can be divided on 4 parts, as show on the picture.

Since a length of one whole wave equals 400, a length of each part is 400:4=100 nanometers.

The height of the wave is decreasing on the second and on the third part, hence over the interval (100, 300).

3 0
2 years ago
Solve the system: 6x=25y+1 5x−16y=−4
jeka94

Answer:

The solution is (x,y)=(-4,-1)

Step-by-step explanation: Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

5 0
3 years ago
Pls just the boxes that were not answered​
stepan [7]

Answer:

4x+30, 1.875

Step-by-step explanation:

x+(x+30)+2x = 4x+30

4x+30=37.5

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x=1.875

6 0
2 years ago
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2 years ago
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Simplify completely X2 + 4x - 45 ÷ x2 + 10x + 9 and find the restrictions on the variable​
svetoff [14.1K]

Answer: (x-5)/(x+1) and x cannot equal -1 because the denominator can't be zero.

Step-by-step explanation:

Factor the numerator:

(x+9)(x-5)

Factor the denominator:

(x+1)(x+9)

So you have

(x+9)(x-5)/(x+1)(x+9); see that you can cross out the (x+9) in both the numerator and denominator?

You're left with (x-5)/(x+1)

The only number that is restricted is -1, because that would make the denominator zero, which is a no no!!

7 0
3 years ago
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