Consider a metal cube of side length 10cm.

Mathematics

1 answer:

Neporo4naja [7]3 years ago

7 0

23.3 is your answer. Zyour welcome

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A science class is tracking the progress of plant growth. The class starts the experiment with a plant five centimeters high. Th

Liono4ka [1.6K]

Answer:

Step-by-step explanation:

when growth of plant is zero means x=0 then y=2(0)+5 = 5

8 0

3 years ago

Simplify the rational expression. state any restrictions on the variable. n^4-10nsq+24/n^4-9nsq+18

astraxan [27]

Substitution: n² = t
1 ) t² - 10 t + 24 = t² - 6 t - 4 t + 24 =
= t ( t - 6 ) - 4 ( t - 6 ) = ( t - 6 ) ( t - 4 ) =
= ( n² - 6 ) ( n² - 4 )
2 ) t² - 9 t + 18 = t² - 6 t - 3 t + 18 =
= t ( t - 6 ) - 3 ( t - 6 ) = ( t - 6 ) ( t - 3 ) =
= ( n² - 6 ) ( n² - 3 )
The restrictions: n² ≠ 6, n² ≠ 3, n ≠ +/- √6, n≠ +/-√3
Simplification:

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3 years ago

Which equation shows the commutative property of addition?

aalyn [17]

<span>B. -3 + (7+3) = -3 +(3+7) shows commutative property of addition.</span>

6 0

3 years ago

Solve 8sin(pi/6 x) = 4 for the four smallest positive solutions

ryzh [129]

Simplify the given expression as shown below

$\begin{gathered} 8sin(\frac{\pi}{6}x)=4 \\ \Rightarrow sin(\frac{\pi}{6}x)=\frac{4}{8}=\frac{1}{2} \\ \Rightarrow sin(\frac{\pi}{6}x)=\frac{1}{2} \end{gathered}$

On the other hand,

$\begin{gathered} sin(y)=\frac{1}{2} \\ \end{gathered}$

Solving for y using the special triangle shown below

Thus,

$\begin{gathered} \Rightarrow y=30\degree\pm360\degree n=\frac{\pi}{6}\pm2\pi n \\ and \\ y=150\degree+360\degree n=\frac{5\pi}{6}+2\pi n \end{gathered}$

Then,

$\begin{gathered} \Rightarrow\frac{\pi}{6}x=y \\ \Rightarrow\frac{\pi}{6}x=\frac{\pi}{6}+2\pi n \\ \Rightarrow x=1+12n \\ and \\ \frac{\pi}{6}x=\frac{5\pi}{6}+2\pi n \\ \Rightarrow x=5+12n \end{gathered}$

The two sets of solutions are