An octagon is a polygon with 8 sides. An equiangular polygon is a polygon with all congruent angles. A polygon that is not equilateral is a polygon whose sides are not congruent.

asked 2021-10-28

Find the volume of the solid that lies inside both of the spheres

\(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}+{4}{x}-{2}{y}+{4}{z}+{5}={0}\)

and

\(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}={4}\)

\(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}+{4}{x}-{2}{y}+{4}{z}+{5}={0}\)

and

\(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}={4}\)

asked 2021-11-22

A paper cup has the shape of a cone with height 10 cm and radius 3 cm (at the top). If water is poured into the cup at a rate of 2 cm^3/s, how fast is the water level rising when the water is 5 cm deep?

asked 2021-10-22

Given 2 rectangles. Model the area of each using a quadratic function, then evaluate each, considering x=8.

(1st) l=2x+4; h=x+3

(2nd) l=3x-9; h=x+2

(1st) l=2x+4; h=x+3

(2nd) l=3x-9; h=x+2

asked 2021-10-25

A steel cylinder has a length of 2.16 in, a radius of 0.22 in , and a mass of 41 g. What is the density of the steel in \(\displaystyle\frac{{g}}{{c}}{m}^{{3}}?\)

asked 2021-11-02

Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x = 3, and the parabolic cylinder

\(\displaystyle{z}={4}-{y}^{{{2}}}\).

\(\displaystyle{z}={4}-{y}^{{{2}}}\).

asked 2021-06-30

Show that an exponential model fits the data. Then write a recursive rule that models the data.

\(\begin{array}{|c|c|} \hline n & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline f(n) & 2 & 6 & 18 & 54 & 162 & 486 \\ \hline \end{array}\)

asked 2021-06-09

Show that an exponential model fits the data. Then write a recursive rule that models the data.

n 0 1 2 3 4 5 f(n)0.75 1.5 3 6 12 24

n 0 1 2 3 4 5 f(n)0.75 1.5 3 6 12 24