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Mathematics

1 answer:

attashe74 [19]3 years ago

3 0

Answer:

Step-by-step explanation:

I dont know. i thought there was going to be a answer :c

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If z varies directly with x and inversely with the cube of y, when x=8,y=2 and z=3, what is x when y=4 and z=9/32?

Degger [83]

$\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{\underline{z} varies directly with \underline{x} and inversely with the cube of \underline{y}}\qquad z=\cfrac{kx}{y^3}$

$\bf \textit{we also know that }
\begin{cases}
x=8\\
y=2\\
z=3
\end{cases}\implies 3=\cfrac{k8}{2^3}\implies 3=\cfrac{8k}{8}\implies 3=k
\\\\\\
therefore\qquad \boxed{z=\cfrac{3x}{y^3}}
\\\\\\
\textit{when y = 4 and }z=\frac{9}{32}\textit{ what is \underline{x}?}\qquad \cfrac{9}{32}=\cfrac{3x}{4^3}\implies \cfrac{9}{32}=\cfrac{3x}{64}
\\\\\\
\cfrac{9\cdot 64}{32\cdot 3}=x$

5 0

4 years ago

22.17 divided by 0.03

seraphim [82]

22.17 divided by 0.03= 739

5 0

3 years ago

Simplify 7m - 11n - n + 5m.

goblinko [34]

Answer:

The simplified form of the given expression is 12(m -n).

Step-by-step explanation: