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11111nata11111 [884]
3 years ago
13

One number has a prime factorization of 23 · 32, and another number has a prime factorization of 22 · 33. Which of the following

expressions would equal the greatest common factor of these two numbers?
Mathematics
1 answer:
zheka24 [161]3 years ago
4 0
2³ and 3²
2² and 3³

lowest powers of each common factor is gcf

2² · 3²
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What is tan(x)-5=0<br> (With steps)
gizmo_the_mogwai [7]
\tan x-5=0
\tan x=5

Now before taking the inverse tangent of both sides, recall that

\tan x=\tan(x\pm\pi)=\tan(x\pm2\pi)=\cdots=\tan(x\pm n\pi)

where n is any integer. This means that when taking the inverse tangent of \tan x, instead of just x, we would end up with

\arctan(\tan x)=\arctan(\tan(x+n\pi))=x\pm n\pi

So after doing so in the equation above, we're left with

x\pm n\pi=\arctan5\implies x=\arctan5\pm n\pi

As n can be any integer, including negative integers, we can simply write

x=\arctan5+n\pi,\,n\in\mathbb Z
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4 years ago
A certain drug dosage calls for 460 mg per kg per day and is divided into four doses (1 every 6 hours). If a person weighs 229 p
Setler [38]

Answer:

11.95 g / 6 hours  

Step-by-step explanation:

drug dosage = 460 mg per kg per day

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dosage of drug needed for 103.873 kg

460 mg is to 1 kg per day

103.873 kg = 103.873 × 460 mg per 1 kg per day = 47781.58 mg per 103.873 kg per day

number of 6 hours in a day = 24 hours ÷ 6 hours = 4 times per day

dosage needed per 6 hours

47781.58 ÷ 4 = 11945.395 mg for every 6 hours = 11.95 g / 6 hours  

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frosja888 [35]
( x,y ) -> y is second number
so y=9.
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Hey!

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5 0
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