Change the percent to a decimal number. 21.7%

The Latin root-vis-means "see." The root appears in the word improvised, which literally means "not seen before." It also appears in these words and phrases:

$$\begin{array}{ll}{\text { visitor }} & {\text { revise }} \\ {\text { supervisor }} & {\text { visual aid }} \\ {\text { invisible }} & {\text { envision }}\end{array}$$

Identify the word or phrase above that matches each clue. Not able to be seen

Copy and complete the graphic organizer. In each row, draw an example of each strategy that might be used when positioning a figure for a coordinate proof.

$$\begin{matrix} \text{Positioning Strategy} & \text{Example}\\ \text{Use origin as a vertex.}\\ \text{Center figure at origin.}\\ \text{Center side of figure at origin.}\\ \text{Use aes as sides of figure.}\\ \end{matrix}$$

Imagine you have a close family member who bicycles to work on major streets during rush hour. During this time, air pollution is at its worst, and a cyclist inhales a lot of it. Write a dialogue in which you encourage the family member to consider the negative effects of this practice. Explain the problems that can result.

Evaluate each expression for the given values of the variable.

$$\frac { y ( y - 3 ) } { y - 2 }$$

y=4

The degree of dissociation, $\alpha,$ of $\mathrm{CO}_{3}(\mathrm{g})$ into CO(g) and $\mathrm{O}_{2}(\mathrm{g})$ at high temperatures and 1 bar total pressure was found to vary with temperature as follows:

$$\begin{matrix} \text{$T / K$} & \text{1395} & \text{1443} & \text{1498}\\ \text{$\alpha / 10^{-4}$} & \text{1.44} & \text{2.5} & \text{4.71}\\ \end{matrix}$$

Assume $\Delta_{r} H^{0}$ to be constant over this temperature range, and calculate K, $\Delta_{r} G^{0}, \Delta_{r} H^{0},$ and $\Delta_{r} S^{0}$ at 1443 K. Make any justifiable approximations.

Explain whether the given equation defines an exponential function. Give reasons for your answers. Write the base for each exponential function. $y = x ^ { x }$

Find an SVD of each matrix.

$$\left[ \begin{array}{ll}{7} & {1} \\ {5} & {5} \\ {0} & {0}\end{array}\right]$$

Find the perimeter of a triangle with vertices located at (2, 1), (2, -5), (-6, -5).

In a certain state, it is found that the distribution of income for lawyers is given by the Lorenz curve $y=L_{1}(x),$ where $L_{1}(x)=\frac{4}{5} x^{2}+\frac{1}{5} x$ while that of surgeons is given by $y=L_{2}(x),$ where $L_{2}(x)=\frac{5}{8} x^{4}+\frac{3}{8} x.$ Compute the Gini index for each Lorenz curve. Which profession has the more equitable income distribution?

Prove that a conjugate of a glide reflection in M is a glide reflection, and that the glide vectors have the same length.

Rank the following compounds in order of increasing strength of intermolecular forces:

$$\begin{array} { l } { \text { a. } \mathrm { CH } _ { 3 } \mathrm { NH } _ { 2 } , \mathrm { CH } _ { 3 } \mathrm { CH } _ { 3 } , \mathrm { CH } _ { 3 } \mathrm { Cl } } \\ { \mathrm { b } . \mathrm { CH } _ { 3 } \mathrm { Br } , \mathrm { CH } _ { 3 } \mathrm { I } , \mathrm { CH } _ { 3 } \mathrm { Cl } } \\ \mathrm { c } . \left( \mathrm { CH } _ { 3 } \right) _ { 2 } \mathrm { C } = \mathrm { C } \left( \mathrm { CH } _ { 3 } \right) _ { 2 },\left( \mathrm { CH } _ { 3 } \right) _ { 2 } \mathrm { CHCOOH } , \left( \mathrm { CH } _ { 3 } \right) _ { 2 } \mathrm { CHCOCH } _ { 3 } \\ \mathrm { d } . \mathrm { NaCl } , \mathrm { CH } _ { 3 } \mathrm { OH } , \mathrm { CH } _ { 3 } \mathrm { Cl } \end{array}$$

Determine whether each set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail. The set of all real-valued functions f defined everywhere on the real line and such that f(1) = 0.

Sketch the region bounded between the given curves and then find the area of the region.

$$y=\sin x, y=\sin 2 x, x=0, x=\pi$$