The model has the form

\(
\displaystyle{z}={k}{x}^{n}{y}^{m}
\)

\(\frac{28}{{3}}={k}{\frac{{{42}}}{{{9}^{2}}}}\)

\({k}=\frac{28}{{3}}\cdot\frac{{9}^{2}}{{42}}={18}\)

\({P}={\frac{{{18}{x}}}{{{y}^{2}}}}\)

asked 2021-03-08

y varies inversely as the square root of \(x,y=6\) when \(x=100\). Find yy when \(x=144\).

asked 2021-02-10

Two light sources of identical strength are placed 8 m apart. An object is to be placed at a point P on a line ? parallel to the line joining the light sources and at a distance d meters from it (see the figure). We want to locate P on ? so that the intensity of illumination is minimized. We need to use the fact that the intensity of illumination for a single source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source.

asked 2021-05-27

If y varies inversely as x, and \(y=15\) when \(x=4,\) find y when \(x=9\)

asked 2021-06-23

This ideal gas law states that the volume of
an enclosed gas at a fixed temperature varies inversely as the
pressure.

Which power functions are also rational functions?

Which power functions are also rational functions?

asked 2021-09-08

Give all possible answers

\(\displaystyle{m}\angle{C}={36}^{{\circ}},\ {A}{B}={31},\ {B}{C}={24},\) find \(\displaystyle{m}\angle{A}\)

\(\displaystyle{m}\angle{C}={36}^{{\circ}},\ {A}{B}={31},\ {B}{C}={24},\) find \(\displaystyle{m}\angle{A}\)

asked 2021-09-08

y varies directly as the fourth power of x and when \(x=3 , y=648\)

asked 2021-08-20

If y varies directly as x, and y = 9 when x = 2, what is y when x = -3?