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sammy [17]
3 years ago
14

Write the following expression using exponents. 4x4x4x4 =

Mathematics
2 answers:
Jlenok [28]3 years ago
6 0

Answer:

4^4

Step-by-step explanation:

Since there are four 4's, it is to the 4th power.

bearhunter [10]3 years ago
3 0

Answer:

4 × 4 × 4 × 4=4^4

Step-by-step explanation:

In this instance, the value of the exponent (4) is the number of times you will multiply your base (also 4).

So if we have:

4 × 4 × 4 × 4

We are multiplying our base four times.

Therefore this expression can be rewritten as:

4^4

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The volume of a box 4in wide 2in high and 5in long is
Free_Kalibri [48]

Answer:

40 cubic inches

Step-by-step explanation:

The Formula for Volume: Length x Width x Height (L x W x H)

4 times 2 times 5 = 40

6 0
3 years ago
Which function represents the graph of f(s)=-4[x] after it is translated 3 units down?
MaRussiya [10]
I'm not sure but I think, f(s)=-4[x]-3
8 0
3 years ago
Matt and Kelly both purchased the same type mulch to be used in a garden. They both spent exactly $60 each on mulch. • Matt purc
hichkok12 [17]

Answer:

<em>B.) Kelly got the better deal.</em>

Step-by-step explanation:

7 0
3 years ago
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
What is the area, in square units, of trapezoid AEDC shown below?
just olya [345]
20 • 12 is 240
1/2 • 12 • 4 is 24
so 264
7 0
2 years ago
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