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mestny [16]
2 years ago
12

The athlete drank 80% of his water bottle in the first 15 minutes of his workout. If the bottle held 16.9 ounces of water, how m

any ounces was that?
Mathematics
1 answer:
Tresset [83]2 years ago
6 0

Answer:

13.52 ounces of water

Step-by-step explanation:

80% equals 8/10

So we multiply 16.9x8/10 getting 13.52 ounces

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Use the number line to compare the numbers.
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First of all if it is increasing then then it would start at the negative numbers. First is -1.2 second is 1/5 then it is 0.5 and finally 3/5

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Is 45.03 greater then 40.44 or are they equivalent?
Leno4ka [110]

Answer:

greater

Step-by-step explanation: 45 and 40

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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).

3 0
3 years ago
I need help and please explain to me how you got the answer
maksim [4K]

Answer:

B

Explanation:

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2 years ago
How to solve rational equations
VashaNatasha [74]

Answer:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

   Find the common denominator.

   Multiply everything by the common denominator.

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