An ice cube tray holds $325 \mathrm{~g}$ of water. If the water initially has a temperature of $25^{\circ} \mathrm{C}$, how many kilojoules of heat must be removed to cool and freeze the water at $0^{\circ} \mathrm{C} ?(10.5)$

Draw the electron-dot formula for $\mathrm{Cl}_2 \mathrm{O}$.

Determine the total number of valence electrons for each of the following: a. $\mathrm{H}_2 \mathrm{~S}$ b. $\mathrm{I}_2$ c. $\mathrm{CCl}_4$ d. $\mathrm{OH}^{-}$

When tert-butyl bromide undergoes solvolysis in a mixture of methanol and water, the rate of solvolysis (measured by the rate at which bromide ions form in the mixture) increases when the percentage of water in the mixture is increased. (a) Explain this occurrence. (b) Provide an explanation for the observation that the rate of the $S_{N} 2$ reaction of ethyl chloride with potassium iodide in methanol and water decreases when the percentage of water in the mixture is increased.

Graph the function. State the domain and range.

$$f(x)=\llbracket 2 x \rrbracket$$

List three multifactorial traits.

Graph the given function. Describe the domain and range.

f(x) = 4$^x$ - 2

Find the domain and range of each function.

$$y=\sqrt{36-x^2}$$

Sketch a graph of the function and find its domain and range. f(x) = √9-x²

A candy store manager is making a sour candy mix by combining sour cherry worms, which cost her $2.50 per pound, and sour lime bugs, which cost her$3.50 per pound. How much of each candy should she include if she wants 20 pounds of a mix that costs her a total of $65. a. What real-world information does the system provide? b. Use the substitution method to solve this system. c. What is the real-world meaning of the solution you found in 12b?

Two resistors when connected in series to a $120~\mathrm{V}$ line use one-fourth the power that is used when they are connected in parallel. If one resistor is $4.3~ \mathrm{k} \Omega$, what is the resistance of the other?

Find the domain of each logarithmic function.

$$f ( x ) = \log ( 7 - x )$$

Mark the following true or false.

For any field F, F[x] is a Euclidean domain.