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padilas [110]
3 years ago
5

Determine whether the statement (p∧(p⟶q))⟶q is a tautology one time by using truth table and the other time without using truth

table

Mathematics
2 answers:
weeeeeb [17]3 years ago
7 0

One way to prove this without a truth table is to use a conditional proof. We assume the portion p ^ (p --> q). If that's true, then so is p and p-->q

Using p and p-->q, the modus ponens rule allows us to derive q. It says that if p is true and p --> q, then q must be true as well.

Since we arrive at q, we have found the conclusion we're after. The assumption (p ^ (p-->q)) leads to q, and therefore the entire statement (p ^ (p-->q)) --> q is true for any combination of p,q.

Ivanshal [37]3 years ago
4 0

It is.........................................................

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spin [16.1K]
The answer is y=-3x+57.5
7 0
3 years ago
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10+6÷3+2×8=
lawyer [7]
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7 0
3 years ago
If the angle is preserved, which describes the effect of moving the plane closer to the cone's vertex? Check all that apply.
Sholpan [36]

Let's go though the choices.

Major axis will get shorter.  TRUE, CHECK ME

As the plane moves closer to the vertex the ellipse stays the same shape but shrinks.

Ellipse will become a circle.  FALSE

As long as the plane is tilted, the ellipse can't be a circle.

Ellipse will degenerate to a point.  TRUE, CHECK ME

Eventually the plane gets to the vertex, at which point (ha!) we have a single point.

Nappes?  Is that a word?   FALSE

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4 0
4 years ago
find the area and perimeter using the lengthy and with step by step I will give 40 points please answer right number 6,7,9,10,11
N76 [4]

Answer:

6. 16 meters^2, 16 meters

7. 100 milimieters^2, 40 milimeters

9. 56 centimeters^2, 30 centimeters

10. 49 inches^2, 28 inches

11. 9 meters^2, 12 meters

12. 72 yards^2, 36 yards

Step-by-step explanation:

s is for a square

A=s^2

P=4s

l+w is for a rectangle

A=lw

P=2l+2w

6. A=4^2

A= 16 meters^2

P=4*4

P= 16 meters

7. A=10^2

A=100 milimieters^2

P=4*10

P= 40 milimeters

9. A=8*7

A= 56 centimeters^2

P=2(8)+2(7)

P=30 centimeters

10. A=7^2

A=49 inches^2

P=4*7

P=28 inches

11. A= 3^2

A=9 meters^2

P=4*3

P= 12 meters

12.

A=12*6

A=72 yards^2

P= 2(12)+2(6)

P= 36 yards

Let me know if you have any questions. Also, don't forget units!

4 0
3 years ago
Two less than 3/2 of a number (x) is more than 5 1/2
djverab [1.8K]
<h2>Answer:   (3/2)x - 2</h2>

Step-by-step explanation:

Let the number be x.

"Two less than 3/2 of a number (x)"   means    (3/2)x - 2

"is no more than"  means     "≤"

  5 1/2

* Hopefully this helps:) Mark me the brainliest:)!!!

4 0
4 years ago
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