Fill in the blanks. The sum of a finite geometric sequence with common ratio r ≠ 1 is given by ________.

Tell whether the two ratios form a proportion. Explain.

$$\frac { 3 } { 4 } \text { and } \frac { 12 } { 15 }$$

Estimate each sum or difference. Explain how you determined your estimate. 3.77 + 1.39

Evaluate each function for the given input values. For g(x)=4x-9, find g(x) when x=3 and when x=5.

find the inverse of the matrix (if it exists). [-8 0 0 0 , 0 1 0 0 , 0 0 4 0 , 0 0 0 -5]

Choose the letter of the correct term or concept below to complete the sentence. a. personality b. contingencies of reinforcement c. trait d. defense mechanism e. inferiority complex f. self-actualization g. positive regard h. conditions of worth i. extravert j. introvert. According to Carl Rogers, people require __________, or approval, from other people in order to acquire a self.

The number of new home sales (in thousands) in the United States as of March 24, 2010, is given in the table below.

$$\left[\begin{array}{lllll} & \text{Northeast} & \text{Midwest} & \text{South} & \text{West} \\ \hline\text{Feb-Mar 2009} & 47 & 94 & 402 & 143\\ \text{April-Jun 2009} & 82 & 607 & 607 & 278\\ \text{Jul-Sep 2009} & 114 & 179 & 623 & 302\\ \text{Oct-Dec 2009} & 102 & 174 & 578 & 253\\ \text{Jan-Feb 2010} & 67 & 91 & 299 & 170 \end{array}\right]$$

Use the information in the table above. Round your answers to three decimal places. What is the probability a home selected at random was sold in the Midwest from Oct–Dec 2009?

Some skin creams claim that they are “pH balanced" and yet do not have a pH of 7. What do the manufacturers mean when they say “pH balanced"?

find the rational zeros of the function. h(x) = x^3 - 9x^2 + 20x - 12

Divide.

$$5 \overline{)64.5}$$

About 41% of twelfth graders participated in school performing arts last year. A high school had 1800 students, one-fourth of which were twelfth graders. About how many twelfth graders participated in school performing arts?

Solve each equation below for the indicated variable. Show all steps. a. Solve for x: 2x+22=12, b. Solve for y: 2x-y=3, c. Solve for x: 2x+15=2x-15, d. Solve for y: 6x+2y=10

Along with the answer, include the equation you used to solve the problem. Only 39% of the lights were on. What percent of the lights were off?

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = √(x-2), y=0, x=4