Find the constant of variation for each relation and use it to write an equation for each statement. Then solve the equation. Suppose y varies inversely as the square root of x and x = 1.21 when y = 0.44. Find y when x = 0.16.

Indicate the concentration of each ion present in the solution formed by mixing 42.0 mL of 0.170 M NaOH with 37.6 mL of 0.400 M NaOH,

Which will contain the greater number of moles of potassium ion: 30.0 mL of 0.15 M

$$K_2CrO_4$$

or 25.0 mL of 0.080 M

$$K_3PO_4?$$

Pure acetic acid, known as glacial acetic acid, is a liquid with a density of $1.049\mathrm{~ g/ mL}$ at $25 ^ { \circ } \mathrm { C }$ Calculate the molarity of a solution of acetic acid made by dissolving $20.00\mathrm{~ mL}$ of glacial acetic acid at $25 ^ { \circ } \mathrm { C }$ in enough water to make $250.0\mathrm{~ mL}$ of solution.

Describe how the graphs of f(x) and g(x) are related. $f(x)=[x]+1$ and $g(x)=-[x]-1$

Graph each function and its inverse. $f(x)=x^{5}-10$

Determine whether the ordered pair is a solution for the given inequality. Write yes or no. $y \geq 2|x|^{3}-7,(0,0)$

Determine the equations of the vertical and horizontal asymptotes, if any, of each function. $h(x)=\frac{x^{2}}{x^{2}+1}$

Determine the equations of the vertical and horizontal asymptotes, if any, of each function. $g(x)=\frac{x-2}{x^{2}+4 x+3}$

Which of the following solutions is the most basic? 0.150 M KOH.

Describe how the graphs of f(x) and g(x) are related. $f(x)=\frac{1}{x}$ and $g(x)=\frac{3}{x}$

We have seen that ions in aqueous solution are stabilized by the attractions between the ions and the water molecules. Why then do some pairs of ions in solution form precipitates?

Separate samples of a solution of an unknown salt are treated with dilute solutions of HBr,

$$H_2SO_4,$$

and NaOH. A precipitate forms in all three cases. Which of the following cations could be present in the unknown salt solution:

$$K^+, Pb^{2+}, Ba^{2+}?$$

Determine whether the ordered pair is a solution for the given inequality. Write yes or no. $y \leq \frac{x^{2}-6}{x},(-6,-9)$