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horsena [70]
3 years ago
8

Question down below :)

Mathematics
1 answer:
Greeley [361]3 years ago
4 0

Answer: 16 it right i hope or 6

Step-by-step explanation:

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Z varies directly with x and inversely with y. When x=6 and y=2, .z=15. Write function that models variation. Then, find z when
tester [92]
\bf \begin{array}{cccccclllll}
\textit{direct proportional variation}\\\\\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&&  y={{ k }}x
\end{array}\\ \quad \\


\bf \textit{inverse proportional variation}\\\\
\begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{  k}}}{x}
\end{array}


\bf \\\\
-------------------------------\\\\
\textit{z varies directly with x}\implies z=kx
\\\\
\textit{and inversely with y}\implies z=\cfrac{kx}{y}
\\\\\\
\textit{we also know that}\quad 
\begin{cases}
x=6\\
y=2\\
z=15
\end{cases}\implies 15=\cfrac{k\cdot 6}{2}\implies 30=6k

\bf \cfrac{30}{6}=k\implies \boxed{5=k}\impliedby \textit{constant of variation}
\\\\\\
thus\implies z=\cfrac{5x}{y}\\\\
-------------------------------\\\\
\textit{what's "z" when }
\begin{cases}
x=4\\
y=9
\end{cases}\implies z=\cfrac{5\cdot 4}{9}
4 0
4 years ago
I need to find the x-intercept and the y-intercept for this equation 4y-8=2x please help
Nadusha1986 [10]
Y-intercept = (0,2)
x-intercept = (-4,0)
8 0
3 years ago
What does y equal ??!?!
garik1379 [7]
<h3>Answer:  658.3</h3>

==================================================

Explanation:

The adjacent complementary angle to that 28 degree angle is 62 degrees because 62+28 = 90.

If the reference angle is the upper acute angle 62 degrees, then the y is the opposite leg and the side 350 is the adjacent leg.

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(62) = y/350

350*tan(62) = y

y = 350*tan(62)

y = 658.254262871217

y = 658.3

3 0
3 years ago
Read 2 more answers
ack is in hospital and his temperature is recorded every hour one morning. Time Temperature 06:00 40.0 07:00 40.0 08:00 39.5 09:
sukhopar [10]
I would say a line graph is probably the best way (it is usually the normal way) so that you can see the fluctations in temperature. Time on the x-axis and temp on the y-axis
4 0
3 years ago
Which point represents the outlier in the scatter plot?
Taya2010 [7]
The answer is (10,9)
3 0
3 years ago
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