Find the period and sketch the graph of the equation. Show the asymptotes.

$$y = \csc \dfrac{1}{2} x$$

A cross-country course is in the shape of a parallelogram with a base of length 3 mi and a side of length 2 mi. What is the total length of the cross-country course.

In a certain town 2/3 of the adult men are married to 3/5 of the adult women. Assume that all marriages are monogamous (no one is married to more than one other person). Also assume that there are at least 100 adult men in the town. What is the least possible number of adult men in the town? of adult women in the town?

In an experiment, a sample of $\mathrm{NaClO}_{3}$ was 90$\%$ decomposed in 48 min. Approximately how long would this decomposition have taken if the sample had been heated 20 $^{\circ} \mathrm{C}$ higher?

In general, a person is 1% shorter in the evening than in the morning. Use your height to write a conditional that uses this fact.

Why do you think there is a cross on the table in the portrait of Amerigo Vespucci on given page?

Execute the indicated operation and simplify the result so that there are no quotients.

$$\frac{\cos x}{\sec x}+\frac{\sin x}{\csc x}$$

Sociologists say that 90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. What is the probability that no more than three of them dislike their mother-in-law?

Solve each inequality and graph each solution set that is not empty. x-7>--5

How can the following words be put in order to make a sentence? comentarios / la crítica / la película / sobre / hacer

Compute the following cross products. Then make a sketch showing the two vectors and their cross product. $- \mathbf { j } \times \mathbf { k }$

For a pendulum with length x in meters, the function

$$T ( x ) = 2 \pi \sqrt { \frac { x } { 9.8 } }$$

gives the period of the pendulum in seconds. The period of a pendulum is the time it takes the pendulum to complete one back-and-forth swing. Describe the graph of T as a transformation of

$$f ( x ) = \sqrt { x }$$

In a photo electric effect experiment it is observed that no current flows unless the wavelength is less than $570$ nm. (a) What is the work function of this material? (b) What is the stopping voltage required if light of wavelength $400$ nm is used?

What do you think Beers means by "our tribe"? What was the "blank page"?