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.

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 $x=L\left(N u_{L}\right)$?

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

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

Evaluate each sum that exists.

$$\sum_{i=1}^7(-1)^{i-1}$$

State the amplitude of: $y=\sqrt{7} \sin x$

state the domain of the function,

$$f(x) = 1-x^2/x$$

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.

Air enters the compressor of a Brayton refrigeration cycle at $100\ \mathrm{kPa}, 260 \mathrm{~K}$, and is compressed adiabatically to $300\ \mathrm{kPa}$. Air enters the turbine at $300\ \mathrm{kPa}, 300 \mathrm{~K}$, and expands adiabatically to $100\ \mathrm{kPa}$. For the cycle (a) determine the net work per unit mass of air flow, in $\mathrm{kJ} / \mathrm{kg}$. and the coefficient of performance if the compressor and turbine isentropic efficiencies are both $100 \%$. (b) plot the net work per unit mass of air flow, in $\mathrm{kJ} / \mathrm{kg}$, and the coefficient of performance for equal compressor and turbine isentropic efficiencies ranging from $80$ to $100 \%$.

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

Find the limit (if it exists), $\lim\limits_{x \to 2}\frac{\vert x-2\vert}{x-2}$.

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

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

What's the difference between an independent variable and a dependent variable?

Approximate to three decimal places,

$$\cot 1.13$$