Which element is oxidized, and which is reduced in the following reactions?

$$3 \mathrm { Fe } \left( \mathrm { NO } _ { 3 } \right) _ { 2 } ( a q ) + 2 \mathrm { Al } ( s ) \longrightarrow 3 \mathrm { Fe } ( s ) + 2 \mathrm { Al } \left( \mathrm { NO } _ { 3 } \right) _ { 3 } ( a q )$$

Which element is oxidized, and which is reduced in the following reactions?

$$\mathrm { N } _ { 2 } ( g ) + 3 \mathrm { H } _ { 2 } ( g ) \longrightarrow 2 \mathrm { NH } _ { 3 } ( g )$$

For each redox equation identified in the previous question, determine which element is oxidized and which is reduced.

Which of the following equations represent redox reactions? a.

$$2 \mathrm { KNO } _ { 3 } ( s ) \longrightarrow 2 \mathrm { KNO } _ { 2 } ( s ) + \mathrm { O } _ { 2 } ( g )$$

, b.

$$\mathrm { H } _ { 2 } ( g ) + \mathrm { CuO } ( s ) \longrightarrow \mathrm { Cu } ( s ) + \mathrm { H } _ { 2 } \mathrm { O } ( l )$$

, c.

$$\operatorname { NaOH } ( a q ) + \mathrm { HCl } ( a q ) \longrightarrow \operatorname { NaCl } ( a q ) + \mathrm { H } _ { 2 } \mathrm { O } ( l )$$

, d.

$$\mathrm { H } _ { 2 } ( g ) + \mathrm { Cl } _ { 2 } ( g ) \longrightarrow 2 \mathrm { HCl } ( \mathrm { g } )$$

, e.

$$\mathrm { SO } _ { 3 } ( g ) + \mathrm { H } _ { 2 } \mathrm { O } ( l ) \longrightarrow \mathrm { H } _ { 2 } \mathrm { SO } _ { 4 } ( a q )$$

In the following reactions, identify which element is oxidized and which is reduced.

a. $2\mathrm{Al}(s)+6\mathrm{HCl}(aq) \rightarrow 2 \mathrm{AlCl}_3(aq)+3\mathrm{H}_2(g)$

Make a conjecture about the shape of the graph of

$$y = \frac { 1 } { 2 } x - \ln x$$

, and draw a rough sketch.

Let p be the population proportion for the situation. Find point estimates of p and q. In a survey of 800 U.S. adults, 90 are making the minimum payment(s) on their credit card(s).

In the following reactions, identify which element is oxidized and which is reduced by assigning oxidation states.

a. $\mathrm{C}(s)+\mathrm{O}_2(g) \rightarrow \mathrm{CO}_2(g)$

Determine the oxidation number of sulfur in each of the following substances: hydrogen sulfide,

$$H_2S$$

Label the following half-reactions as either reduction or oxidation half-reactions. a.

$$\mathrm { H } _ { 2 } \mathrm { S } \longrightarrow \mathrm { S } + 2 e ^ { - } + 2 \mathrm { H } ^ { + }$$

, b.

$$\mathrm { SO } _ { 2 } + 4 e ^ { - } + 2 \mathrm { H } _ { 2 } \mathrm { O } \longrightarrow \mathrm { S } + 4 \mathrm { OH } ^ { - }$$

, c.

$$\mathrm { Clo } _ { 3 } ^ { - } + 6 \mathrm { H } ^ { + } + \overline { 6 } e ^ { - } \longrightarrow \mathrm { Cl } ^ { - } + 3 \mathrm { H } _ { 2 } \mathrm { O }$$

, d.

$$\operatorname { Mn } ( \mathrm { CN } ) _ { 6 } ^ { 4 - } \longrightarrow \mathrm { Mn } ( \mathrm { CN } ) _ { 6 } ^ { 3 - } + e ^ { - }$$

Find each difference. Express your answer in lowest terms. $\frac { 4 } { 13 } - \left( \frac { - 7 } { 26 } \right)$

Let $\mathcal { A } \subseteq \mathbf { R }$ be nonempty and bounded above, and let $S$ be the union of all $A \in \mathcal { A }$

$$\begin{array} { l } { \text { (a) First, prove that } S \in \mathbf { R } \text { by showing that it is a cut. } } \\ { \text { (b) Now, show that } S \text { is the least upper bound for } \mathcal { A } \text { . } } \end{array}$$

How can the CRISPR and pi-cluster loci change over time?

Graph the inequality. 2x + 2y < 18