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vredina [299]
3 years ago
12

How to solve this truth table ( p-->q) v q p q T T T F F T F F

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

<em>Without</em> using a truth table:

(<em>p</em> ⇒ <em>q</em>) ∨ <em>q</em>   ⇔   (¬<em>p</em> ∨ <em>q</em>) ∨ <em>q</em>   ⇔   ¬<em>p</em> ∨ <em>q</em>   ⇔   <em>p</em> ⇒ <em>q</em>

<em />

<em>With</em> a table:

<em>p</em>   …   <em>q</em>   …   <em>p</em> ⇒ <em>q</em>   …   (<em>p</em> ⇒ <em>q</em>) ∨ <em>q</em>

T   …   T   …       T       …          T

T   …   F   …       F       …          F

F   …   T   …       T       …          T

F   …   F   …       T       …          T

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Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have? Wh
svlad2 [7]
Let q and n represent the number of quarters and nickels respectively.

q=3n and .05n+.25q=1.6  These are the conditions in mathematical terms.

To solve, use the value of q from the first equation in the second equation to get:

.05n+.25(3n)=1.6  carry out indicated multiplication on left side

.05n+.75n=1.6  combine like terms on left side

.8n=1.6  divide both sides by .8

n=2, since q=3n

q=6

So Peggy had 2 nickels and 6 quarters.
3 0
3 years ago
What is the solution to the equation?<br> 1/8 = m/32
inna [77]

Answer:

m=4

Step-by-step explanation:

1/8=m/32

cross product

8*m=1*32

8m=32

m=32/8

m=4

8 0
3 years ago
If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?
Kaylis [27]
<span>The length of an arc, L = theta/360 * 2 * pie * r Where theta = 81 and r = 10ft = 3.048m So length = 81/360 * 2 * pie * 3.048 L = * 0.225 * 2 * pie * 3.048 L = 1.37 * pie L = pie. Option A</span>
4 0
3 years ago
Can somebody please help me? :(
Natasha2012 [34]

Answer:

143 square meters

Step-by-step explanation:

The surface has a width of 11 meters and a length of 13 meters.

13 x 11 = 143.

Is this correct?

5 0
2 years ago
9.
Yanka [14]
I’m not sure if I get the question, but the second one would be a fact and the others are all statements. I hope this helps :)
5 0
3 years ago
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