Using a light source and a protractor, explain how to calculate the refractive index of a liquid

Compare and contrast radial and concentric glass fractures. Include in your answer: a. Description of each type of fracture b. On which side of the glass will they form c. Which type of fracture will form first and why

A beam of light passes through air into a second medium. Angle 1 (angle of incidence) is

$$33^\circ.$$

Angle 2 (angle of refraction) is

$$48^\circ.$$

Calculate the refractive index. Show all your work.

If glass is located near a fire within a building, it will tend to shatter outward.

Differentiate $f(x)=\sqrt{\arctan 2x}$

In order to determine the refractive index of a small piece of glass, the glass is submerged in different liquids and viewed under a compound microscope. The appearance of a Becke line is used to determine the refractive index. a) What is a Becke line? b) Why does a Becke line form? c) What does the location of the Becke line tell you about the refractive index of the piece of glass and the surrounding liquid in which it is placed?

Write a word problem or draw a diagram that illustrates the multiplication expression $\frac{3}{4} \cdot \frac{1}{5}$.

You know only the given information about the measures of the angles of a triangle. Find the probability that the triangle is equiangular. One angle is obtuse.

What is a second derivative? A third derivative? How many derivatives do the functions you know have? Give examples.

The demand for healthy foods that are low in fats and calories has resulted in a large number of "low-fat" and "fat-free" products at the supermarket. The table shows the numbers of calories and the amounts of sodium (in milligrams) per slice for five different brands of fat-free American cheese.

Brand, Sodium (mg), Calories Kraft Fat Free Singles, 300, 30 Ralphs Fat Free Singles, 300, 30 Border Fat Free, 320, 30 Healthy Choice Fat Free, 290, 30 Smart Beat American, 180, 25

a. Draw a scatterplot to describe the relationship between the amount of sodium and the number of calories. b. Describe the plot in part a. Do you see any outliers? Do the rest of the points seem to form a pattern? c. Based only on the relationship between sodium and calories, can you make a clear decision about which of the five brands to buy? Is it reasonable to base your choice on only these two variables? What other variables should you consider?

For.the given function and domain, draw the graph and identify the range using the same notation as the domain. f(x)=2/3x - 1 with domain (-$\infty$, 3]

Find the theoretical probability of each event when rolling a number cube. P(not 3)

Outline a strategy for solving each of the following equations. 2 cos

$$\left( \theta - 25 ^ { \circ } \right)$$

=1

Find the four second partial derivatives of the following functions. $h ( x , y ) = x ^ { 3 } + x y ^ { 2 } + 1$