Write as a decimal. 4$\frac{1}{4}$

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

Solve. If no solution exists, state this.

$$\dfrac{t}{10}+\dfrac{t}{15}=1$$

Consider the number $N$ to be located anywhere in the given array. By checking several locations in the array, determine how $N$ is related to the sum of all entries in the shaded cells. Describe the relationship in words.

state the domains and ranges of f and f^-1. f(x) = √x+1.

What is $36 \frac{1}{2} \%$ as a decimal?

Approximate to three decimal places,

$$\cot 1.13$$

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?

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 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.

For flow over a flat plate of length L, the local heat transfer coefficient $h_{x}$ is known to vary as $x^{-1 / 2}$, where x is the distance from the leading edge of the plate. What is the ratio of the average Nusselt number for the entire plate $\left(\overline{N u}_{L}\right)$ to the local Nusselt number at $x=L\left(N u_{L}\right)$?

The thermal efficiency of a reversible power cycle operating between hot and cold reservoirs is $20 \%$. Evaluate the coefficient of performance of (a) a reversible refrigeration cycle operating between the same two reservoirs. (b) a reversible heat pump cycle operating between the same two reservoirs.

How does demand help societies determine WHAT, HOW, and FOR WHOM to produce?

Demand for a product means more than simply the desire to own it. Instead, demand includes desire and also the willingness and ability to buy the product. Firms often try to influence demand in a number of different ways. To see how, analyze a television, print, or online ad for a product. What devices has the seller used in the ad to stimulate demand for it? Pay attention to ways the seller may have made the product easier to buy.

Write as a decimal.

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