Choose a word to replace the italicized word in each sentence. All of the possible choices for each sentence have similar definitions, but the correct answer will have a connotation that best suits the context. For example, the words "delete," "destroy," and "obliterate" all mean "to remove or wipe out," but no one would ever say, "I destroyed the name from the document." The correct choice will be the word that has the best specific meaning and does not render the sentence awkward in tone or content. When choices seem close, look for a clue in the context that makes one choice better than the other. Note that the correct answer is not always the primary vocabulary word from the lesson. thrilled, dirty, ecstatic, economical, odium, phony, pleased, bawdy, dislike, discomfort, cheap, overjoyed, con artist. Bo received an after school detention for using rude language during an anatomy lesson in health class, in spite of his teacher's warning before class that such jokes would not be tolerated. Better word: _____

Red plane waves from a ruby laser $\left(\lambda_{0}=694.3 \mathrm{nm}\right)$ in air impinge on two parallel slits in an opaque screen. A fringe pattern forms on a distant wall, and we see the fourth bright band $1.0^{\circ}$ above the central axis. Calculate the separation between the slits.

Write each polynomial in standard form. Then classify it by degree and by number of terms. $a^{2}+a^{3}-4 a^{4}$

Rewrite the equation in vertex form by completing the square. Find the vertex. $y=2 x^{2}-x-1$

Let $f: \mathcal{N} \rightarrow \mathcal{N}$ be any function where f(n)=o(n log n). Show that TIME(f(n)) contains only the regular languages.

Determine whether the given equation is exact. If it is exact, solve. $\left(x^{2} y^{3}-\frac{1}{1+9 x^{2}}\right) \frac{d x}{d y}+x^{3} y^{2}=0$

Use the Internet and other available resources to research one aspect of popular culture in the 1950s. You might research the rise of television, changes in Hollywood, or shifts in the computer world. What changes occurred in the 1950s? Find specific examples of these changes as well as images to go with them. With your group, create a presentation, and present your findings to the class.

Consider a lightwave having a phase velocity of $3 \times 10^{8} \mathrm{m} / \mathrm{s}$ and a frequency of $6 \times 10^{14} \mathrm{Hz}$. What is the shortest distance along the wave between any two points that have a phase difference of $30^{\circ}$?

Solve the given differential equation subject to the indicated initial condition. $y d y=4 x\left(y^{2}+1\right)^{1 / 2} d x, y(0)=1$

Charlie collected 3.8 pounds ofshells at the beach. Sebal collected 1.55 pounds of shells. How many more pounds did Charlie collect than Sebal? To solve, subtract 1.55 from 3.8. Use a place-value chart to help. Regroup as needed to subtract.

$$\begin{matrix} \text{ } & \text{ones} & \text{.} & \text{tenths} & \text{hundredths}\\ \text{Charlie's shells} & \text{3} & \text{.} & \text{8} & \text{0}\\ \text{regroup as} & \text{3} & \text{.} & \text{7} & \text{10}\\ \text{Sebal's shells} & \text{1} & \text{.} & \text{5} & \text{5}\\ \end{matrix}$$

3 ones — 1 one — 2 ones. 7 tenths — 5 tenths = 2 tenths. 10 hundredths — 5 hundredths = 5 hundredths. Difference = 2 ones + 2 tenths + 5 hundredths. Charlie collected 2.25 pounds more than Sebal. Explain why you have to use regrouping in the example problem?

We define the avoids operation for languages A and B to be A avoids B=$\{w | w \in A$ and w doesn’t contain any string in B as a substring}. Prove that the class of regular languages is closed under the avoids operation.

Graph each equation. $x+y-z=5$

Say that a variable A in CFL G is usable if it appears in some derivation of some string $w \in G$. Given a CFG G and a variable A, consider the problem of testing whether A is usable. Formulate this problem as a language and show that it is decidable.

Reflection in which line takes the figure with vertices A(0,0), B(-2,4). $C (-4,2), \text { and } D(-3,0) \text { to } A^{\prime}(0,0), B^{\prime}(-2,-4), C^{\prime}(-4,-2), \text { and } D^{\prime}(-3,0) ?$ F. x-axis G. y-axis H. y = x J. y = -x