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KonstantinChe [14]
3 years ago
5

A set of premises and a conclusion are given. Use the valid argument forms discussed in this chapter to deduce the conclusion fr

om the premises, giving a reason for each step. Assume all variables are statement variables. (a) p ∨ q (b) q → r (c) p ∧ s → t (d) ~r (e) ~q → u ∧ s (f) ∴t Make selections from the ones below to show the first steps of a proof and the reason for the conclusion.
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0

Answer:

See deduction below

Step-by-step explanation:

I will use the known inference rules (modus ponens, etc)

From d) and b),

~r

q → r

Therefore ~q (by Modus Tollens)

From a), and our previous conclusion:

p ∨ q

~q

Therefore p (by disjunctive sillogism)

Until know, we have concluded p and ~q. By e)

~q → u ∧ s

~q  

Therefore u∧s. (Modus Ponens)

From p, u∧s, and c)

u∧s

s (simplification)

p (previous conclusion)

p∧s (adjuntion)

p∧s→t (Modus Ponens)

Therefore t, as we wanted to conclude.

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Simplify<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B3%7D%7B8%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \f
Pie

Answer:

B (√6)/4

Step-by-step explanation:

The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...

\displaystyle\sqrt{\frac{3}{8}}=\sqrt{\frac{3\cdot 2}{8\cdot 2}}\\\\=\sqrt{\frac{6}{16}}=\frac{\sqrt{6}}{\sqrt{16}}\\\\=\frac{\sqrt{6}}{4}

_____

Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.

3 0
3 years ago
The yearbook club had a meeting. the meeting had 18 people, which is one half of the club. how many people are in the club
Dmitry_Shevchenko [17]

Answer:

36 people

Step-by-step explanation:

If the yearbook club had 1/2 the participants attend the meeting, than all of them would be represented by 18 x 2, or 36 (since two halves make a whole)

8 0
1 year ago
A teacher buys packs of notebooks to give to his students. The ratio of gold notebooks to red notebooks is represented in the ta
Naddika [18.5K]

Answer:

there would be 40 gold notebooks

Step-by-step explanation:

if the ratio is 5g to 3r i took the 24 red and divided it by 3 which gave me 8. I then multiplied 8 by 5 and got 40. so 40:24 is equal to 5:3

4 0
2 years ago
What is the quotient of 8,595 ÷ 24?
Oksi-84 [34.3K]

Hey there!

The quotient of 8595 ÷ 24 would be 358.125.

Hope this helps!

Have a great day!

7 0
2 years ago
Read 2 more answers
Please solve for me. please be right
lesantik [10]

Answer:

4

Step-by-step explanation:

5+3÷5-3=8÷2=4

5 0
2 years ago
Read 2 more answers
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