From the list below, supply the words needed to complete the paragraph. Some words will not be used. divulge abet temerity insipid gregarious coerce jaundiced. Jasmine had thought that her irresponsible days of _____ were far behind her until Kayla showed up at her door. After only three days of freedom from the county correctional facility, Kayla had begun her old scheming again. She went to the house to ____ Jasmine into helping her move a truckload of stolen goods to another state—an easy job, she claimed, and virtually no risk. It would even be fun, she claimed. "Let me get this straight. You've been out of jail for three days, and you already want me to _____ you in a crime? Are you crazy?" Jasmine was still ____ toward her sister because Kayla, prior to her first sentence, "borrowed" Jasmines car for a robbery and nearly got Jasmine arrested as a result. "Sorry, Kayla, but l'm quite happy with my ____, uneventful life. Please leave, and don't come back."

For the following exercises, use the matrices below to perform scalar multiplication.

$$A=\left[\begin{array}{rr} 4 & 6 \\ 13 & 12 \end{array}\right], B=\left[\begin{array}{rr} 3 & 9 \\ 21 & 12 \\ 0 & 64 \end{array}\right], C=\left[\begin{array}{cccc} 16 & 3 & 7 & 18 \\ 90 & 5 & 3 & 29 \end{array}\right], D=\left[\begin{array}{rrr} 18 & 12 & 13 \\ 8 & 14 & 6 \\ 7 & 4 & 21 \end{array}\right]$$

5A

Use a computer algebra system to evaluate the following integral. Find both an exact result and an approximate result for each definite integral. Assume a is a positive real number. $\int_{0}^{\pi / 2} \cos ^{6} x d x$

From the list below, supply the words needed to complete the paragraph. Some words will not be used.

virulent

inculcate

artisan

fiduciary

protégé

indiscernible

reciprocate

To some, Kurt was a simple stonemason who built fireplaces or walls next to driveways, but James, Kurt's young ____________ recognized that the aging man was a[n] ____________ who worked with natural stones as an artist would work with paint. James had been Kurt's assistant for several years, and during that time, Kurt ____________ James's fingers with the many tricks and techniques for creating impressive masonry. In time, James was able to stack and chisel stones and make the natural flaws ____________ , just as Kurt had done for nearly fifty years. Before Kurl passed away, he gave James ____________ responsibility of the business, pleased that the ancient craft would last for another generation.

From the list below, supply the words needed to complete the paragraph. Some words will not be used. condone, officious, nuance, cult, connoisseur, credence, torpor, dilettante. The chef, tucked away in the kitchen, nervously awaited the report from the latest critic. Knowing that Mr. Tahoma was a[n] _____ of Peruvian cuisine and a weekly newspaper columnist with a[n] ____ following, the chef hoped that the waiters refrained from the _____ behavior that well-known food critics must often endure from servers. The chef had run the restaurant for twenty-eight years; he was certainly not a[n] _____ in matters of cooking, but owing to a decline in customers, he worried about the fate of the business. He could only hope that Mr. Tahoma would rave about the many subtle _____ in the meal. A positive review, combined with the _____ accorded to the column, might be all that the chef needed to save the restaurant.

In the game of Monopoly, a player rolls two six-sided dice on each turn. If a player is in jail, he or she must roll "doubles" (both dice show the same number) in order to get out of jail. If a player in jail does not roll doubles on three consecutive turns, he or she must pay $\$50$ to get out of jail. (a) Find the probability that a player rolls doubles on a turn. Show your method. (b) John is in jail. Find the probability that John has to pay $\$50$ to get out of jail because he doesn't roll doubles on three consecutive turns. Show your work.

For the following exercises, graph the inequality. $y>x^{2}-1$

Compute the Pauli paramagnetic susceptibilities for (a) Li and (b) Ba. Compare with the experimental values, which are respectively $14.2 \times 10^{-6} \text {and } 20.6 \times 10^{-6}$ (in cgs units per mole).

For the following exercises, use a graphing calculator to find the equation of an exponential function given the points on the curve. (5, 2.909) and (13, 0.005)

When finding the inverse of a radical function, what restriction will we need to make? The inverse of a quadratic function will always take what form?

For $\alpha$ and $\beta$ in $S_{n}$, define $\alpha \sim \beta$ if there exists an $\sigma \in S_{n}$ such that $\sigma \alpha \sigma^{-1}=\beta$. Show that $\sim$ is an equivalence relation on $S_{n}$.

How can the logarithmic equation $\log _{b} x=y$ be solved for x using the properties of exponents?

For the following exercises, use the given information to answer the questions. The velocity v of a falling object varies directly to the time, t, of the fall. If after 2 seconds, the velocity of the object is 64 feet per second, what is the velocity after 5 seconds?

Without using the periodic table, determine the group, period, and block in which strontium is located on the periodic table.

1. Analyze the Problem Known: _____ Unknown: _____ Use the electron configuration of strontium to determine its place.
2. Solve for the unknown Group: Strontium has a valence configuration of ____. All group _____ elements have the ___ configuration. Period: The _____ in 5s$^{2}$ indicates that strontium is in _____. Block: The _______ indicates that strontium's valence electrons _______. Therefore, strontium is in the _____.
3. Evaluate the answer The relationships among ________ and _____________ have been correctly applied.