Write as a decimal.

$5 \frac{1}{4}$%

Find $\lim _{x \rightarrow 1} \dfrac{x^2+2 x-3}{x^2-1}$, if it exists.

Based on the things Carlos and hisfriends like,

what activities do you think they like to do?

MODELO: A Roberto le gustan las peliculas. Le gusta ir al cine.

$$\begin{array}{lll} \text{ir al cine}& \text{ ver televisión}& \text{ escuchar música}\\ \text{jugar al tines}& \text{ comer comida italian }& \text{ jugar a los videojuegos }\\ \end{array}$$

A mis amigos les gustan los deportes.

The power at Ice Station Lion is supplied via solar cells. Once a year, a plane flies in and sells solar cells to the ice station at a price of $20 per cell. Because of uncertainty about future power needs, the ice station can only guess the number of cells that will be required during the coming year (see probability distribution in Table 6). If the ice station runs out of solar cells, a special order must be placed at a cost of$30 per cell. a. Assuming that the news vendor problem is relevant, how many cells should be ordered from the plane? b. In part (a), what type of cost is being ignored? TABLE 6:

$$\begin{matrix} \text{No. of Cells} & \text{Probability}\\ \text{50} & \text{.20}\\ \text{60} & \text{.15}\\\text{70} & \text{.30}\\ \text{80} & \text{.10}\\ \text{90} & \text{.15}\\\text{100} & \text{.10}\\ \end{matrix}$$

Describe the relationship between the values of the independent and dependent variables.

Lamprino Appliance uses a perpetual inventory system. The following are three recent merchandising transactions:
June 10 Purchased 10 televisions from Mitsu Industries on account. Invoice price, $\$ 300$ per unit, for a total of $\$ 3,000$. The terms of purchase were $2 / 10, \mathrm{n} / 30$.
June 15 Sold one of these televisions for $\$ 450$ cash.
June 20 Paid the account payable to Mitsu Industries within the discount period.

Instructions
a. Prepare journal entries to record these transactions assuming that Lamprino records purchases of merchandise at:

1. Net cost
2. Gross invoice price

The table shows the projected numbers of hours H of television usage in the United States from 2003 through 2011.

$$\begin{array}{|c|c|} \hline \text { Year } & \text { Hours, } \boldsymbol{H} \\ \hline 2003 & 1615 \\ 2004 & 1620 \\ 2005 & 1659 \\ 2006 & 1673 \\ 2007 & 1686 \\ 2008 & 1704 \\ 2009 & 1714 \\ 2010 & 1728 \\ 2011 & 1742 \\ \hline \end{array}$$

Use a graphing utility to create a scatter plot of the data. Let t represent the year, with t=3 corresponding to 2003.

Consider the function defined by $f(x)=\sqrt[3]{2 x-7}$.

Explain why $f^{-1}$ exists.

A person working on the transmission of a car accidentally drops a bolt into a tray of oil. The oil is 5.00 cm deep. The bolt appears to be 3.40 cm beneath the surface of the oil, when viewed from directly above . What is the index of refraction of the oil?

A person pulls a toboggan for a distance of 35.0 m along the snow with a rope directed

$$25.0 ^ { \circ }$$

above the snow. The tension in the rope is 94.0 N. (a) How much work is done on the toboggan by the tension force? (b) How much work is done if the same tension is directed parallel to the snow?

The weekly demand for the Pulsar 25 color LED television is

$$p=600-0.05 x \quad(0 \leq x \leq 12,000)$$

where $p$ denotes the wholesale unit price in dollars and $x$ denotes the quantity demanded. The weekly total cost function associated with manufacturing the Pulsar 25 is given by

$$C(x)=0.000002 x^3-0.03 x^2+400 x+80,000$$

where $C(x)$ denotes the total cost incurred in producing $x$ sets.

Compute $C^{\prime}(2000), R^{\prime}(2000)$, and $P^{\prime}(2000)$ and interpret your results.

Lee y decide si estas afirmaciones sobre el año 1850 son ciertas (C) o falsas (F) 1.En el año 1850, la gente viajaba en tren, en barco o a caballo. 2.La gente veía programas de televisión y escuchaba la radio. 3.Había luces de gas para iluminar las calles. 4.Los chicos hablaban por teléfono con sus amigos. 5.No había teléfonos celulares.

A household appliance manufacturer wants to analyze the relationship between total sales and the company's three primary means of advertising (television, magazines, and radio). All values were in millions of dollars. They found the regression equation

$\widehat{\text{Sales}}$ = 250 + 6.75 TV + 3.5 Radio + 2.3 Magazines.

One of the interpretations below is correct. Which is it? Explain what's wrong with the others.

Every million dollars spent on radio makes sales increase $3.5 million, all other things being equal.

A retail store has various sizes of television sets made by the same manufacturer. The price for a set is a function of the screen size, measured in inches along the diagonal. The prices are listed here.

Make a scatter plot of the data. Based on the scatter plot, explain why a quartic function is a more appropriate mathematical model than a cubic function.