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evablogger [386]
4 years ago
13

please help :D is this inequality true or false for the given value 3x + 4x + 2 < 21 if x = 5

Mathematics
1 answer:
julsineya [31]4 years ago
5 0
It is false. If you plug in the values, it results in 37<21 which is false
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Which statements about the relationship between the two angles below are true? Check all that apply ZC=LT
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3 years ago
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Anit [1.1K]
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there are 2π radians in 1 revolution, and there are 60 seconds in 1 minute, so keeping that in mind, then,

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 \bf \textit{linear velocity}\\\\&#10;v=rw\quad &#10;\begin{cases}&#10;r=radius\\&#10;w=angular~speed\\&#10;----------\\&#10;v=32\frac{m}{sec}\\&#10;w=100\frac{rev}{min}&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;\textit{let's convert \underline{w} to }\frac{radians}{sec}

\bf \cfrac{100~\underline{rev}}{\underline{min}}\cdot \cfrac{2\pi }{\underline{rev}}\cdot \cfrac{\underline{min}}{60~sec}\implies \cfrac{100\cdot 2\pi }{60~sec}\implies \cfrac{10\pi }{3~sec}\implies \cfrac{10\pi }{3}\frac{radians}{sec}\\\\&#10;-------------------------------\\\\&#10;v=rw\implies \cfrac{v}{w}=r\implies \cfrac{\frac{30~m}{sec}}{\frac{10\pi }{3~sec}}\implies r=\cfrac{30~m}{\underline{sec}}\cdot \cfrac{3~\underline{sec}}{10\pi }&#10;\\\\\\&#10;r=\cfrac{90}{10\pi }m

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what is the radians per seconds "w" in revolutions per minute?  just another conversion like in 13)

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4 years ago
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