1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleonysh [2.5K]
1 year ago
9

Construct a truth table for the given statement.mnFill in the truth table.װן--mnTFFTFF

Mathematics
1 answer:
eimsori [14]1 year ago
3 0

The symbol V is read as 'OR'.

Hence, pVq is read as p or q.

If p or q is true(T), then pVq is also true(T).

The truth table for pVq is,

p. q. pVq

T. T. T

T. F. T

F. T. T

F. F. F

The symbol ˜ is read as negation.

˜q means the opposite of q. If q is true(T), then ˜q is false(F) and vice versa.

p. q. pVq ˜q

T. T. T F

T. F. T T

F. T. T F

F. F. F T

The symbol <-> is read as if and only if.

(pVq) <-> ˜q implies that pVq is true if and only if ˜q is true.

(pVq) <-> ˜q is the truth value of pVq only if ˜q is true (T) and the value of (pVq) <-> ˜q is the opposite of the truth value of pVq if ˜q is false (F).

p. q. pVq ˜q (pVq) <-> ˜q

T. T. T F F

T. F. T T T

F. T. T F T

F. F. F T F

The truth table is

p. q. pVq (pVq) <-> ˜q

T. T. T F

T. F. T T

F. T. T T

F. F. F F

You might be interested in
What is 6÷1/5? 30, ​24, ​5/6, 1/30. you will get 18 things
Naya [18.7K]
6 divided by 1/5 is 30
8 0
2 years ago
write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer
USPshnik [31]

Answer:

y = 6/5 x-1  slope intercept form

6x-5y = 5  standard form

Step-by-step explanation:

We have the points  (0,-1) and (-5,-7)

We can find the slope using

m = (y2-y1)/(x2-x1)

 = (-7--1)/(-5-0)

 = (-7+1)/(-5-0)

 = -6/-5

 = 6/5

We also have the y intercept ( when x=0)  It is -1

We can use the slope intercept form of the equation y = mx+b

y = 6/5 x-1

Depending on what you mean when you say simplify your answer

We can put it in standard form  ax+by = C

Multiply both sides by 5

5y =5* 6/5 x-1*5

5y = 6x-5

Subtract 6x from each side

-6x+5y = 6x-6x-5

-6x+5y = -5

Multiply by -1

6x-5y = 5

4 0
3 years ago
The figure is a square. Find the length of side x in simplest radical form with a rational denominator.
nika2105 [10]

Answer:

10\sqrt{2}

Step-by-step explanation:

The diagonal of any square with side length s is equal to s\sqrt{2}. Since the side length of the square is 10, the diagonal must be \boxed{10\sqrt{2}}.

To support and prove this:

The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse (a^2+b^2=c^2).

Call the diagonal d. In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:

10^2+10^2=d^2,\\100+100=d^2,\\d^2=200,\\d=\sqrt{200}=\sqrt{100}\cdot \sqrt{2}=\boxed{10\sqrt{2}}

4 0
3 years ago
Read 2 more answers
In a sale, normal prices are reduced by 20%. Andrew bought a saddle for his horse in the sale. The sale price of the saddle was
pshichka [43]
The formula for this is: (sale price) / (1 - percentage)
Percentage have to be in decimal form, so divide percentage by 100 to get the decimal form.

220/(1-.20) = $275

The original price was $275. 
8 0
3 years ago
What is 21/99 in a decimal form
Norma-Jean [14]

Answer:

0.2121~

Step-by-step explanation:

It's a repeating number. 0.0212121212

7 0
3 years ago
Other questions:
  • Octavia is asking about her age. My brother is 7 years older than I am. Our ages add up to 39. How old are Octavia and her broth
    10·1 answer
  • Which fraction is the largest 5/7 7/10 10/13 show how u worked out the answer
    9·1 answer
  • For f(x) = 4x + 2 and g(x) = x^2 - 6, find (f+g)(x)
    14·1 answer
  • What is the sum of the zeros of the function: y= x^2 - 5x + 6?
    13·1 answer
  • Every 7 days a plant grows 4 centimeters. Complete the table.
    15·2 answers
  • Find the indicated side of the<br> right triangle.<br> 60°<br> х<br> 7<br> 30°<br> x = [?]<br> Enter
    8·2 answers
  • Please help!!!!!!!!!!!!!!!
    6·1 answer
  • Ally surveyed 5 classrooms. She wanted to know the number of students in each class who love painting. The data she collected fr
    9·1 answer
  • 6 cm<br> 6 cm<br> What is the area?
    10·1 answer
  • - Previous 11.1.3 Quiz: The Pythagorean Theorem A WXY is a right triangle. √36 √18 W √18 O A. True O B. False ← PREVIOUS sta De
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!