The rate law for the reaction NH4^+ + NO2^- $\to$ N2 + 2 H2O is given by rate = k[NH4^+ ][NO2^- ]. At 25 C, the rate constant is 3.0 × 10^-4 /M s. Calculate the rate of the reaction at this temperature if [NH4^+] = 0.26 M and [NO2^-] = 0.080 M.

Establish each identity. $(\csc \theta+\cot \theta)(\csc \theta-\cot \theta)=1$

On the first day of each month, the manager of a small company estimates the rate at which profit is expected to increase during that month. The results are listed in the accompanying table for the first 6 months of the year, where P'(t) is the rate of profit growth in thousands of dollars per month expected during the tth month (t = 1 for January, t = 6 for June). Use this information together with the trapezoidal rule to estimate the net profit earned by the company during this 6-month period (January through June).

$$\begin{matrix} t \text{(month)} & \text{1} & \text{2} & \text{3} & \text{4} & \text{5} & \text{6}\\ \text{Rate of profit} P'(t) & \text{0.65} & \text{0.43} & \text{0.72} & \text{0.81} & \text{1.02} & \text{0.97}\\ \end{matrix}$$

The variable interest rate on a student loan changes each July 1 based on the bank prime loan rate. For the years 1992–2007, this rate can be approximated by the model $r(x)=-0.115 x^{2}+1.183 x+5.623,$ where x is the number of years since 1992 and r is the interest rate as a percent. Use a graphing utility to estimate the highest rate during this time period.During which year was the interest rate the highest?

Which reference book provides information about therapeutic equivalence?

Choose the correctly punctuated item. Then compare your responses with the key at the end of the book.

a. "America is now entering, said Dr. Williams, the Age of Information."

b. "America is now entering," said Dr. Williams, "the Age of Information."

How do the nominal or stated interest rate and the effective interest rate differ?

What information is provided by the numerical value of the Pearson correlation coefficient?

Find the effective interest rate. Where, Rate: $10 \% \quad$ Compounded: Semiannually.

Suppose that people consume only three goods, as shown in this table:

$$\begin{array}{lrrr} & \text { Tennis Balls } & \text { Golf Balls } & \begin{array}{r} \text { Bottle of } \\ \text { Gatorade } \end{array} \\ \hline 2009 \text { price } & \$ 2 & \$ 4 & \$ 1 \\ 2009 \text { quantity } & 100 & 100 & 200 \\ 2010 \text { price } & \$ 2 & \$ 6 & \$ 2 \\ 2010 \text { quantity } & 100 & 100 & 200 \end{array}$$

a. What is the percentage change in the price of each of the three goods?

b. Using a method similar to the consumer price index, compute the percentage change in the overall price level.

c. If you were to learn that a bottle of Gatorade increased in size from $2009$ to $2010$ , should that information affect your calculation of the inflation rate? If so, how?

d. If you were to learn that Gatorade introduced new flavors in $2010$, should that information affect your calculation of the inflation rate? If so, how?

Identify the scale factor.

$$\begin{array} { | c | c | } \hline {} & \text { Person } & { \text { Action Figure } } \\ \hline \text { Height (in.) } & { 66 } & { 6 } \\ \hline \end{array}$$

Find the year ly rate of int erest on a loan if the monthly rate is $2\%$.

If an interest rate is given as 12% compounded daily, what do we define this rate?

Go to the website for the World Customs Organization (www.wCoomd.org). Search for information about the WCO to answer the question below.

List the name of the secretary general of the WCO and one item of information from the secretary general's biography.