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# Recent problems solved by 'rapaljer'

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 Probability-and-statistics/432355: whats 4!1 solutions Answer 299787 by rapaljer(4667)   on 2011-04-06 22:59:01 (Show Source): You can put this solution on YOUR website!4!= 4*3*2*1=24 Please see my brand new page on Introduction to Statistics on my website!! I wrote it a long time ago, but it's still relevent. To find my website click on my tutor name "rapaljer" anywhere in algebra.com. There you will find a link to take you to my website. On the Homepage of my website, look for the link about a third of the way down the page "Introduction to Statistics." Dr. Robert J. Rapalje, Retired Seminole State College of Florida
 Radicals/432349: Can you please help me with this math problem? thanks-----> Find the following. Assume that x can represent any real number. Use absolute value notation when necessary. √49x^21 solutions Answer 299785 by rapaljer(4667)   on 2011-04-06 22:53:47 (Show Source): You can put this solution on YOUR website!The trick with the square root of x^2 is that this is a variable, and the answer must be a positive number. This is why the . Dr. Robert J. Rapalje, Retired Seminole State College of Florida
 Linear-equations/432328: I have an assigment on eqautions, and it says "Write an eqaution of a line parrallel to the given line" i dont how to do that, and same with pependicular please tell me!!!1 solutions Answer 299782 by rapaljer(4667)   on 2011-04-06 22:44:55 (Show Source): You can put this solution on YOUR website!I have a complete explanation on this topic on my website. To find my website click on my tutor name "rapaljer" anywhere in algebra.com. There you will find a link to take you to my website. On the Homepage of my website, look for the link near the top of the page "Basic, Intermediate, and College Algebra: One Step at a Time." Next, click on "Intermediate Algebra", then look in Chapter 5, amd click on Section 5.03 Finding the Equation of a Line. Look for problems #33 and 34. Then near the top of this page there is a link to my "Math in Living Color" pages where these problems are solved in detail IN COLOR!! Dr. Robert J. Rapalje, Retired Seminole State College of Florida
 Points-lines-and-rays/423629: how do u find the unknown length of a triangle that has a primeter of 36 plus to sides that measure 12 and 8cm1 solutions Answer 295394 by rapaljer(4667)   on 2011-03-17 19:48:22 (Show Source): You can put this solution on YOUR website!P=a+b+c 36=12+8 + c 36=20+c 36-20=20-20+c 16=c c= 16 cm. Check: See if the 3 sides add up to 36. 12+8+16=36 It checks. Dr. R^2
 Coordinate-system/422861: Is the point (8,1) a solution of the equation y=19x+13?1 solutions Answer 295077 by rapaljer(4667)   on 2011-03-16 13:14:02 (Show Source): You can put this solution on YOUR website!This is an EASY one. Just let x= 8, plug it into the given equation, and see if y comes out to 1!! y=19x+13 y=19*8+13 You don't even need to calculate this to see that it is NOT 1!! So this point is NOT a solution of the given equation. Dr. R^2
 Polynomials-and-rational-expressions/422883: Find all the numbers which make the rational expression undefined: p^3-6p/p^2-41 solutions Answer 295076 by rapaljer(4667)   on 2011-03-16 13:09:34 (Show Source): You can put this solution on YOUR website!This one is MUCH easier than it looks!! You have to ask yourself, "What makes a fraction UNDEFINED?" The answer is "DENOMINATOR = ZERO." So, make the denominator equal to zero (which we ALL know is NEVER really allowed in math!!), and solve the equation. x= 2 or x= -2 Dr. R^2
 Points-lines-and-rays/422879: slope the line through (1/2,5) and (2 1/2,1)1 solutions Answer 295071 by rapaljer(4667)   on 2011-03-16 12:48:59 (Show Source): You can put this solution on YOUR website!The slope of a line is the RISE OVER the RUN. It's the DIFFERENCE in the y coordinates divided by the DIFFERENCE in the x coordinates. In this case slope = Slope = Check out my own explanation of SLOPE on my own website! To find my website, just click on my tutor name "Rapaljer" anywhere in algebra.com. There you will find a link that takes you right to my Homepage. From my homepage, look for the link "Basic, Intermediate, and College Algebra", then select "Basic Algebra". The Graphing and Slope explanations are in Chapter 4, so look for Section 4.05 which is called "More Slope". If you need help also with Graphing and Slope of a Line, this explanation is at the beginning of Chapter 4. Here you will find my own "user-friendly" explanations, examples, exercises, ALL with answers too. My own students used to tell me that these are a LOT easier to understand than the traditional textbooks that were written by mathematicians for other mathematicians and publishers! What I have to offer is completely FREE! Many of the problems in my sections are solved in detail in the corresponding "MATH IN LIVING COLOR" pages. (In fact, the fast way to find my website is to do a Google search for "Math in Living Color", and then take the link at the bottom of this page to go back to my Homepage.) There is also a VIDEO on the topic of Graphing and Slope of a Line (and also on a variety of other topics!) of me teaching in my classes before I retired. Best of all, it's all FREE! Dr. R^2 Dr. Robert J. Rapalje Seminole State College of Florida
 Proportions/422745: I need help with the following question: Abackdrop for a theatre screen is 30m2. About how many square yards is the backdrop? (1m=1.2sq. yards)1 solutions Answer 295016 by rapaljer(4667)   on 2011-03-16 00:18:51 (Show Source): You can put this solution on YOUR website!Did you mean that 1 sq. m. = 1.2 sq yd? I believe this is correct. Then 30 (m^2) = 30*(1.2 sq yd) 30 m^2 = 36 sq yd (approximately!) Dr. R^2
 Surface-area/402854: an ice cube measures 2.5 cm on each side contains how many cubic centimeters of ice?1 solutions Answer 284970 by rapaljer(4667)   on 2011-02-01 15:06:04 (Show Source): You can put this solution on YOUR website!V=s^3 V=2.5^3 = 15.625 cubic cm. Dr. Rapalje Seminole State College of Florida P.S. See my website by clicking on my tutor name "rapaljer". The link there will take you to my homepage. About halfway down my homepage, look for "Topics from Geometry," and look for the link "Perimeters, Areas, and Volumes."
 Volume/402870: Two pyramids are similar. The dimensions of the first pyramid are cut in half to create the second pyramid. The volume of the first pyramid is 50 in3. Find the volume for the second pyramid. "I know the formula for finding the volume, but I am just stumped on how to work this backwards - if that is the best way forward."1 solutions Answer 284968 by rapaljer(4667)   on 2011-02-01 15:04:07 (Show Source): You can put this solution on YOUR website!Since this is a 3 dimensional solid, when you take HALF of each dimension, you multiply the original volume by HALF for each of the 3 dimensions. The fast way to do this is to take . V= = 6.33... cubic inches. Dr. Rapalje Seminole State College of Florida
 Surface-area/402858: In a 9 inch square cake pan and a 10 inch square cake pan, what is the difference in volumn each pan will hold? assume each pan is 3 inches high. step by step, please.1 solutions Answer 284963 by rapaljer(4667)   on 2011-02-01 14:49:30 (Show Source): You can put this solution on YOUR website!V = LWH V1=10*10*3 = 300 cubic inches V2= 9*9*3= 243 cubic inches The difference = 300-243 = 57 cubic inches. Dr. Rapalje Seminole State College of Florida P.S. See my website by clicking on my tutor name "rapaljer". The link there will take you to my homepage. About halfway down my homepage, look for "Topics from Geometry," and look for the link "Perimeters, Areas, and Volumes."
 test/402857: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.1 solutions Answer 284961 by rapaljer(4667)   on 2011-02-01 14:40:08 (Show Source): You can put this solution on YOUR website!Who keeps doing this???
 Points-lines-and-rays/402862: My question is "Find the slope of the line perpendicular to 3x + 14y = -18. Round your answer to 1 decimal place.' Below is the work i did to solve the problem My Work: 3x+14y= -18 14y= -3x-18 y= -3/14x-9/7 m perpendicular = 14/3 m perpendicular = 4.71 solutions Answer 284960 by rapaljer(4667)   on 2011-02-01 14:38:55 (Show Source): You can put this solution on YOUR website!Looks right to me. Except that I would label the answer in the last two steps as "m perpendicular", not "y". Dr. Rapalje
 Permutations/402856: Six applications apply for two jobs. How many different outcomes are possible? Is this question Permutation or Combination?1 solutions Answer 284958 by rapaljer(4667)   on 2011-02-01 14:36:05 (Show Source): You can put this solution on YOUR website!It could actually be either way. If the jobs are two DISTINCT and SEPARATE jobs, then it is a permutation. The order matters!! If these are two jobs, like two vacancies in an office pool, doing essentially the same task, then this is a combination. The order does NOT matter!! P(6,2) = 6*5 = 30 C(6,2) = = 15 The problem is not completely clear to me. You decide!! Dr. Rapalje
 Functions/402082: if f (x)=3x-4 and g(x)=x+2, find f+g1 solutions Answer 284503 by rapaljer(4667)   on 2011-01-31 08:07:16 (Show Source): You can put this solution on YOUR website!To find f+g, just add them together, and combine like terms. f+g=4x-2 If you need more help with functional notation, please see my own website. I have an entire curriculum posted on my website, all FREE. Look for the link near the top of my Homepage that says "Basic, Intermediate, and College Algebra: One Step at a Time," click on "College Algebra", and look in Chapter 2 for the topic called "The Algebra of Functions". There you will find lots of user-friendly explanation, examples, and exercises on I also have lots of problems that are solved in COLOR for you, and even videos on certain topics that may be of interest to you, videos from my own classrooms a few years ago before I retired. It's all FREE!! Dr. Robert J. Rapalje, Retired Seminole State College of Florida
 test/402126: I want to take the GED test but I don't understand algebra at all. I have a very difficult time understanding all areas in algebra. Any help and/or suggestions would be greatly appreciated. Thank you for you time. Sincerely, Deangelo Lindsay1 solutions Answer 284502 by rapaljer(4667)   on 2011-01-31 07:58:42 (Show Source): You can put this solution on YOUR website!Please see my own website. I have a page dedicated to the GED test. To find my website, click on my tutor name "rapaljer" anywhere in algebra.com. Then click on the link that will take you to my website. From the Homepage of my website (about halfway down the page!), look for the link that says "Need help with the GED?" This has quite a few references and practice tests that will help you. Also, if you or anyone else needs help with algebra, I have an entire curriculum posted on my website, all FREE. Look for the link near the top of my Homepage that says "Basic, Intermediate, and College Algebra: One Step at a Time," click on "Basic Algebra". There you will find lots of user-friendly explanation, examples, and exercises on nearly every topic you will need. I also have lots of problems that are solved in COLOR for you, and even videos on certain topics from my own classrooms a few years ago before I retired. It's all FREE!! Dr. Robert J. Rapalje, Retired Seminole State College of Florida
 test/402139: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.1 solutions Answer 284501 by rapaljer(4667)   on 2011-01-31 07:47:04 (Show Source): You can put this solution on YOUR website!I hate when they do this!!!