Answer the following questions about each of the words from the Underlined word. Then, write an original sentence for each word. Check your original sentences with a partner or small group. Identify several local, national, or world problems for which you think there is no $\underline{facile }$ solution.

For a class project, the scores that 10 randomly selected students earned on the first 8 tests of the school year are given. Explain how to find a line of best fit. Could it be used to predict the scores of other students? Explain your reasoning.

a. What is sensory adaptation? b. What is the difference between sensation and perception? c. Why might signal detection theory not apply to a person with autism?

Graph each function over a one-period interval. $y=-\frac{1}{2} \cos (\pi x-\pi)$

The volume V of a right circular cylinder of height h and radius r is $V=\pi r^{2} h.$ If the height is twice the radius, express the volume V as a function of r.

Decide whether the sampling method could result in a biased sample. Explain your reasoning. A survey of students at a school is taken by asking all the students that are still at the school at 5 PM whether they play sports.

Indicate which of the following are exact numbers: the volume of a cup of Seattle's Best coffee.

Express each set using the roster method. $\{x | x \in \mathbf{N}$ and $8 \leq x<13 \}$

A connected graph is described. Determine whether the graph has an Euler path (but not an Euler circuit), an Euler circuit, or neither an Euler path nor an Euler circuit. Explain your answer. The graph has 80 even vertices and no odd vertices.

Show that $\tau = R C$ has units of time.

$$\begin{array} { l } { \text { In the field GF(p"), show that for every positive divisor } d \text { of } n , } \\ { x ^ { p ^ { n } } - x \text { has an irreducible factor over GF(p) of degree } d . } \end{array}$$

Would you expect a positive correlation, a negative correlation, or no correlation between each pair of data sets? Explain. the temperature outside and the number of layers of clothing

(a) Make a table of values of f(x) for x = -0.1, -0.01, 0.01, and 0.1. (b) Use the table to estimate $\lim _ { x \rightarrow 0 } f ( x ). \quad f ( x ) = \frac { \sin ( 5 x ) } { x }$

To pass a physical education class at a university, a student must run 1.0 mi in 12 min. After running for 10 min, she still has 500 yd to go. If her maximum acceleration is 0.15 m/s$^2$, can she make it? If the answer is no, determine what acceleration she would need to be successful.