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?

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

A plastic injection molding process is often used in manufacturing because of its ability to mold complicated shapes. An experiment was conducted on the manufacture of a television remote part, and the warpage (mm) of the part was measured and stored in TV Remote.

Two factors were to be considered, the filling time $(1,\ 2, \text{or}\ 3\ \text{sec})$ and the mold temperature $(60,\ 72.5,\ \text{or}\ 85 \degree \text{C})$.

At the $0.05$ level of significance, (a) is there an interaction between filling time and mold temperature?

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.

Es el Año Nuevo y Ud. está trabajando en una emisora de televisión. Ud. está describiendo cómo las personas están pasando la noche en un restaurante popular. Complete las frases siguientes usando el gerundio de uno de los verbos dados (cada verbo debe usarse solamente uno vez).

comenzar                      divertirse     caer                                  tirar     tocar                                comer     celebrar                          cantar     besar                                bailar

Muchas personas siguen _______________________ serpentinas.

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

Determine whether the decimal is terminating or repeating. 5.692

What did the Monroe Doctrine state?

Find $\lim _{h \rightarrow 0} \dfrac{\sqrt{a+h}-\sqrt{a}}{h}$, if it exists.

Write as a decimal.

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

Approximate to three decimal places

$$\cos 0.68$$

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.

State the differences between CGI and servlets?