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fiasKO [112]
2 years ago
12

What is the base 8 representation of the number 11100111

Mathematics
1 answer:
katovenus [111]2 years ago
6 0

If the given number is in base 2, that means

11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1

8 = 2³, and so we have

11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1

11100111₂ = 3 • 8² + 4 • 8 + 7

11100111₂ = 347₈

Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:

11 100 111

11₂ = 2 + 1 = 3

100₂ = 2² = 4

111₂ = 2² + 2 + 1 = 7

so again we get 347₈.

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Answer:

40 + 2r

Step-by-step explanation:

Well an hour has 60 minutes.

So 60 x 1/30 = 60/30 = 2 minutes for each person that didn't get into the job

60 x 1/3 = 60/3 = 20 minutes for the people that made it into the job.

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We don't know how much people got rejected so:

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7 0
2 years ago
Consider the compound inequality x < 4 and x>a. If a=4 and the compounding word were "or" instead of "and",what would the
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Answer:

We have:

x < 4 AND x > a.

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x < 4 or x > 4.

This is:

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Then the solution of this is all the real numbers except the value x = 4.

The set of solutions can be written as:

{xI x ∈ R  \ [4]}

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"x belongs to the set of the reals minus the number 4".

Or we also could write it as:

x ∈ (-∞, 4) ∪ (4, ∞)

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4 0
3 years ago
Para encher 2/5 de uma piscina são necessários 60.000 litros de água. Qual é a capacidade dessa piscina?
natali 33 [55]

Answer:

A capacidade dessa piscina é de 150.000 litros de água.

Step-by-step explanation:

A capacidade da piscina é de x.

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Isto implica que:

\frac{2x}{5} = 60000

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A capacidade dessa piscina é de 150.000 litros de água.

8 0
2 years ago
The length of a city block running north to south in NYC is about 5 times 10 to the negative second power miles. The distance fr
NemiM [27]
So nyc=5 times 10^-2 miles

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so
5 times 10^-2 times x=7.5 times 10^3
divide both sdies by 5 times 10^-2
x=(7.5 times 10^3)/(5 times 10^-2)
when dividing scientific notation you do this
x=(7.5 times 10^3)/(5 times 10^-2)=(7.5/5) times ((10^3)/(10^-2))
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3-(-2)=5
answer is
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7 0
3 years ago
How do I Solve this problem?
nlexa [21]
U would factor by grouping and get x^2(x-2) + 3(x-2) and then get (x^2 +3) (x-2)
6 0
3 years ago
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