Verify that

$$w _ { x y } = w _ { y x }.$$

w = ln (2x + 3y)

Which of the following changes will result in an increase in the natural rate of unemployment? A. More teenagers focus on their studies and do not look for jobs until after college. B. The government increases the time during which an unemployed worker can receive benefits. C. Greater access to the Internet makes it easier for jobseekers to find a job. D. Union membership declines. E. Opportunities for job training improve.

How can you as a new driver protect the environment from vehicle-related pollution?

Find the standard form of the equation of the hyperbola with vertices (5, -6) and (5, 6), passing through (0, 9).

Solve the system graphically. Support your answer numerically using substitution and a calculator.

$$y=3cosx$$

$$1=2x-y$$

Consider the titration of 100.0 mL of 0.100 M $\mathrm { H } _ { 2 } \mathrm { NNH } _ { 2 } \left( K _ { b } = 3.0 \times 10 ^ { - 6 } \right)$ with 0.200 M $\mathrm { HNO } _ { 3 }.$ Calculate the pH of the resulting solution after each of the following volumes of $\mathrm { HNO } _ { 3 }$ has been added. 20.0 ml

Consider $\overline{GK}$ located at $G(0,0)$ and $K(4,4)$. Describe the dilation of $\overline{GK}$ by a scale factor of $2$ centered at $(-2,-4)$.

Simplify the expression, if possible. Assume that all variables represent positive real numbers.

$$( - 8 ) ^ { 1 / 3 }$$

The variable x has median 20 and interquartile range 10. The variable y is related to x by y = ax - b. Find the relationship between a and b so that the median of y equals the interquartile range of y.

Ascorbic acid (vitamin C,

$$C_6H_8O_6)$$

is a water-soluble vitamin. A solution containing 80.5 g of ascorbic acid dissolved in 210 g of water has a density of 1.22 g/ mL at

$$55 ^ { \circ } \mathrm { C }$$

Calculate the mass percentage.

Find the optimal strategy for each player and determine the expected payoff of each game by using graphical techniques. Check your answers by using formulas for optimal strategies.

$$\left[\begin{array}{rr} 2 & -1\\ -1 & 4 \end{array}\right]$$

Review the vocabulary words listed. Match the words with the definitions below. Binomial nomenclature, class, classification, division, family, genus, kingdom, order, phylum, specific epithet, taxonomy, cladistics, cladogram, eubacteria, fungus, phylogeny, protist. Biological system of classification based on phylogeny

Use any method to evaluate the integral.

$$\int \sqrt { \frac { x + 1 } { 1 - x } } d x$$

100-9.9