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Ostrovityanka [42]
3 years ago
6

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text?

Mathematics
1 answer:
Radda [10]3 years ago
8 0
The answer is 432 characters
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Jose invested $5000 into a fund with an interest rate of 4.8%.
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The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
Elan Coil [88]

I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

∨ = OR

∧ = AND

~ = NOT

↔ = IFF (meaning "if and only if")

→ = IMP (short for "implies")

and for logical equivalence I'll use a regular equal sign.

Then

p XOR q = (p OR q) AND NOT (p AND q)

(a) By definition of XOR, we have

p XOR p = (p OR p) AND NOT (p AND p)

= p AND NOT p

and this is tautologically FALSE.

(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:

NOT (p AND q) = NOT p OR NOT q

Then we can interchange the AND and ORs using their respective distributive properties. That is,

p XOR q = (p OR q) AND (NOT p OR NOT q)

= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))

= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))

Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have

p XOR q = (p AND NOT q) OR (q AND NOT p)

Recall the definition of IFF:

p IFF q = (p IMP q) AND (q IMP p)

Also recall that IMP is logically equivalent to

p IMP q = p OR NOT q

Then we have

p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))

= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

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2 years ago
write and equation of the line that passes through the given point and is parallel to the given line.1. (4,7), y = 5x-3
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Answer:

y=5x+7

Step-by-step explanation:

parallel lines have the same slope, but different y intercepts

y=5x+7

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3 years ago
Ill give brainilest, question is in the picture.
yuradex [85]

Step-by-step explanation:

1. true

2. false

3.true

4.false

5. ( may be false)

6 .(may be false)

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2 years ago
victor want to make a book tower of height 48 cm .If the thickness of book is 12 mm ,how many books will he need to make the des
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Answer:

40

Step-by-step explanation:

1. Change 48 cm to mm, which will give you 480 mm

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Therefore, Victor needs 40 books to make his desired height.

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