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

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.

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?

If $\cos \theta=-\frac{3}{4}, \frac{\pi}{2}<\theta<\pi$ find the exact value of: $\sin (\theta+\pi)$

What is the 3rd person plural imperfect subjunctive of the verb 'poder' ?

If you could break food down into its components, what would you find?

Read the editorial carefully. Use the tips for analyzing an editorial to help you answer the questions below. ATTITUDES TOWARD WATER RESTRICTIONS: Action on Tuesday by the State Water Resources Control Board to restrict lawn watering and home car-washing... barely raised eyebrows in-state. That's because most urban agencies had already imposed those kinds of limits more than a year ago. Californians responded initially with big water savings but let the hoses and sprinklers run again toward the end of last year, as the Sierra snow began to fall... This winter was a bit wetter than last, but that's not saying much. There has been too little precipitation to replenish the reservoirs and aquifers that water users have been drawing down during the dry times. There's enough water for the coming year and the year after that besides - but not at the current rate of use, and certainly not if wet winters don't resume. Stored water is a kind of bank account meant to get users through an arid year or two, but it cannot be expected to preserve the state through an extended drought like one that afflicted Australia for a decade and a half beginning in the 1990 s... In this fourth year of drought here. Californians must begin using water as though they are still at the front end of that sort of cataclysm. Australia responded to the so-called millennium drought by permanently changing the way it produces and delivers water... California has dabbled in such things for decades, but it's now evident that the state must do Australian-style rethinking and move quickly to Australia-style action. Source: Los Angeles Times. How would you frame a response to this editorial? What points would you make and how would you support them?

a. What six steps are required to open a general ledger account? b. List the steps in the posting process.

Consider the function $f(x)=3 x-x^{2}-1$. a. Write down $f^{\prime}(x)$. b. Show that at x = 1, $f(x)=f^{\prime}(x)$. c. Find the coordinates of a second point on the curve y = f(x) for which $f(x)=f^{\prime}(x)$.

Find the rank of $\lambda I-A$ for each eigenvalue by row reduction, and use the results to show that A is diagonalizable.

$$A=\left[\begin{array}{rrr}{0} & {-1} & {1} \\ {-1} & {0} & {1} \\ {1} & {1} & {0}\end{array}\right]$$

.