Solve each equation. Give answers .correct to three decimal places

$$25,000=10,000(1.05)^{2 x}$$

Find the exact value of the expression given that sec x = 3/2, csc y = 3, and x and y are in Quadrant I.

tan (x + y)

Use a calculator to evaluate the trigonometric function. Round the result to four decimal places.

$$\cos 5^{\circ}$$

Solve the equation for $x$. See the earlier example.

$$32^x=4$$

In Exercise given below, determine the quadrant in which $\theta$ lies.

$$\cot \theta<0, \cos \theta>0$$

The table represents the population of Covetown at different times since it was founded in 1980. a. Let x represent the number of years since 1980 so that x = 0 represents 1980. Let y represent the population of Covetown in thousands of people. Using these definitions, rewrite the values in the table. Explain why doing so will make it easier to find a best-fitting model for the data. b. Make a scatter plot of the data. Do the data appear to be linear or exponential? c. Write an equation of the best-fitting line or best-fitting curve. Whatis the correlation coefficient? Does your equation appear to be a good fit for the data set? d. According to your equation, whatwas the population of Covetown in 1995 and what will the population be in 2025? Which estimate do you think is likely to be more accurate? Explain. Population of Covetown

$$\begin{matrix} \text{Year} & \text{1980} & \text{1990} & \text{2000} & \text{2005} & \text{2010} & \text{2012}\\ \text{Population} & \text{8400} & \text{17,300} & \text{35,900} & \text{51,100} & \text{73,500} & \text{85,200}\\ \end{matrix}$$

What property of real numbers would simplify the following expression: 4+7(x-1)?

Write this as a logarithmic equation. See the earlier example.

$$2^4=16$$

Fill in the blank with the most appropriate word from the previous lesson. Use a word or any of its forms only once.

Decisions at our school are generally made by the __________ of principal, vice-principal, and dean of students.

How would you address (talk to) these people? Choose either tú, Ud., Uds., vosotros, or vosotras.

the principal at your school

Complete each statement. The multiplication property of 0 says that the ____ of 0 and any real number is ____.

If

$$\sin \theta = - \frac { 4 } { 5 } \text{ and } \theta$$

is in Quadrant Ill, find

$$\tan ( \theta / 2 )$$

.

Express each value as a trigonometric function of an angle in Quadrant I. $\cos \frac{7 \pi}{3}$

What is the Spanish word for champeonship?