Nadina is struggling to decide whether to buy a sweater that she really cannot afford. According to Freud, what role would each of the following play in her decision? • Id • Superego • Rgo

Explain how we rationalize a denominator, then complete the following steps to rationalize $\frac{1}{\sqrt{3}}:$ $\frac{1}{\sqrt{3}}=\frac{1}{\sqrt{3}} \cdot \frac{\square}{\square} = \frac{\square}{\square}$

Compare the number of people in the United States living with HIV infection to the number of people in the United States living with AIDS.

What are rituals? How do rituals help a species' survival?

Answer for the sequence $v$ defined by $v_n=n!+2$, $n\geq 1$. Find $\sum_{i=1}^4 v_i$.

In $(\mathbb{Z}_{25}^*,\otimes)$ the set H={1,6,11,16,21} is a subgroup. Find the equivalence classes of the congruence mod H relation.

Find all interior angles of a triangle, using the given the ratios among them. Angles' ratio: 3:4:5

Match the term with its definition.

$$\begin{matrix} \text{Definition} & \text{Term}\\ \text{Containing genes from another species} & \text{A. transgenic}\\ \text{ } & \text{B. clone}\\ \text{ } & \text{C. gene therapy}\\ \text{ } & \text{D. DNA microarray}\\ \text{ } & \text{E. DNA fingerprinting}\\ \text{ } & \text{F. forensics}\\ \text{ } & \text{G. genetic marker}\\ \end{matrix}$$

On January 1 Carol Farmer and Jim Romans formed a partnership, Research Consultants. Each partner invested $50,000 in cash on that date. The partnership agreement stated that the partners would share net income or loss equally. During the year Farmer invested an additional$2,000 and withdrew $7,500 for personal use. Romans invested an additional$1,500 and withdrew $8,500. Net income for the first year was$33,176. In your working papers, prepare a statement of changes in partners’ equity for the year ended December 31.

Sarah has just joined a new faith community. Describe three long-term benefits that she might experience as a result of her membership.

Make a table that lists the characteristics of seedless vascular plant groups.

If

$$\overrightarrow{\mathrm{AB}}=\left( \begin{array}{c}{-1} \\ {3} \\ {2}\end{array}\right), \overrightarrow{\mathrm{AC}}=\left( \begin{array}{c}{2} \\ {-1} \\ {4}\end{array}\right)$$

, and

$$\overrightarrow{\mathrm{BD}}=\left( \begin{array}{c}{0} \\ {2} \\ {-3}\end{array}\right)$$

, find: $\overrightarrow{\mathrm{CD}}$

Imagine you are a molecular-sized reporter and are able to witness a chemical reaction achieve chemical equilibrium. Write down what you observe. Be sure to describe the actions of the reactants and products, and the setting!

What are three ways the body loses water?