A bag of sugar has a mass of 2.26 kg. What is its weight in newtons on the moon, where the acceleration due to gravity is one-sixth of that on Earth? (Hint: On Earth, $g=9.8 \mathrm{m} / \mathrm{s}^{2}$.)

A matrix is given. (a) Determine whether the matrix is in row-echelon form. (b) Determine whether the matrix is in reduced row-echelon form. (c) Write the system of equations for which the given matrix is the augmented matrix.

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

This question follows the entire chain of reasoning involved in determining the specific heat of an Einstein solid. Start with two metal blocks, one consisting of one mole of aluminum (27 g) and the other of one mole of lead (207 g), both initially at a temperature very near absolute zero (0 K). From measurements of Young's modulus one finds that the effective stiffness of the interatomic bond modeled as a spring is 16 N/m for aluminum and 5 N/m for lead. Is the number of quantized oscillators in the aluminum block greater, smaller, or the same as the number in the lead block?

Find f'(x), f''(x), and f'''(x) for the following functions.

$$f ( x ) = 3 x ^ { 2 } + 5 e ^ { x }$$

Consider the following situations. Which guidelines are violated in each situation? a. You tell your brother that your company will report earnings significantly above financial analysts' estimates. b. You see that others take home office supplies for personal use. As an intern, you do the same thing, assuming that this is a “perk.” c. At a conference on e-commerce, you skip the afternoon session and go sightseeing. d. You failed to read the detailed specifications of a new general ledger package that you asked your company to purchase. After it is installed, you are surprised that it is incompatible with some of your company’s older accounting software. e. You do not provide top management with the detailed job descriptions they requested because you fear they may use this information to cut a position from your department.

Describe foodservice management entrepreneurship opportunities.

Balance the following equations: $\mathrm{SO}_{2}+\mathrm{O}_{2} \rightarrow \mathrm{SO}_{3}$

Complete the following questions with the correct form of estar and the subject. Then answer each question in complete sentences.

1. ¿_________________ nervioso(a) cuando tienes un examen? (estar / tu)

2. __________________ contentos cuando sacan buenas notas? (estar / los estudiantes)

3. ¿_________________ cerca de la biblioteca? (estar / los baños)

Write an argument for and an argument against including viruses in the biological classification system.

Factors Affecting Coral Survival

$$\begin{matrix} \text{Factor} & \text{Optimal Range}\\ \text{Water Temperature} & \ {23 \ to \ 25^{\circ} \mathrm{C}}\\ \text{Salinity} & \text{30 to 40 parts per million}\\ \text{Sedimentation} & \text{Little or no sedimentation}\\ \text{Depth} & \text{Up to 48 m}\\ \end{matrix}$$

Using the data in the chart, describe which region of the world would be optimal for coral growth.

Peer influence would have the strongest effect on a. JS, who, at age 30, is deciding whether to propose to his girlfriend. b. Frank, who, at age 10, is deciding whether to play baseball or hockey. c. Arman, who, at age 18, is choosing between two highly rated colleges. d. Linda, who, at age 45, is deciding which church group to join. e. Johann, who, at age 7, is choosing a project for art class.

Compare and contrast how density-dependent and density-independent factors regulate the growth of populations.

Assume Little King Sandwiches depreciates a building over 40 years and University Hero depreciates a similar building over 20 years, and both companies use the straight-line depreciation method. Explain the difficulties in comparing the income statements and balance sheets of the two companies.

Let V be a vector space that is spanned by a contably infinite set. Prove that every independent subset of V is finite or countably infinite.