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<pubDate>Sat, 15 Mar 2025 01:18:10 -0006</pubDate>
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<?xml version="1.0" encoding="UTF-8"?> <rss version="2.0" xmlns:blogChannel="http://backend.userland.com/blogChannelModule"> <channel><title>Algebra.Com New solved problems</title><link>http://www.algebra.com</link><description>New Solutions by tutors</description><language>en-us</language><copyright>Copyright Algebra.Com</copyright><pubDate>Sat, 15 Mar 2025 19:22:00 +0000</pubDate><lastBuildDate>Sat, 15 Mar 2025 19:22:00 +0000</lastBuildDate><managingEditor>webmaster@algebra.com</managingEditor><webMaster>webmaster@algebra.com</webMaster> <item><title>Problem 1209884 solved by greenestamps</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209884</link><description>This problem was solved by greenestamps:What is the horizontal asymptote as x approaches positive infinity of the graph ofy = \sqrt{4x^2 + 5x} - \sqrt{4x^2}?The horizontal asymptote is in the form y = mx + k.</description><guid isPermaLink="false">da459ce0-6efa-3a4b-a550-1dce1243d49d</guid><pubDate>Sat, 15 Mar 2025 01:18:10 -0006</pubDate></item><item><title>Problem 1209883 solved by greenestamps</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209883</link><description>This problem was solved by greenestamps:Find all real x where2 \cdot \frac{x - 5}{x - 3} > \frac{2x - 5}{x + 2} + 20.Give your answer in interval notation.</description><guid isPermaLink="false">be42555d-5072-3494-b118-6e97d6c29f62</guid><pubDate>Sat, 15 Mar 2025 00:35:52 -0006</pubDate></item><item><title>Problem 1209881 solved by Edwin McCravy</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209881</link><description>This problem was solved by Edwin McCravy:Fill in the blanks, to make a true equation: (8x^3 + 24x^2 + 15x + 1)/((x^2 - 1)(x^2 + 3x)) = ___/(x - 1) + ___/(x + 3) + ___/x + ___/(x + 1)</description><guid isPermaLink="false">ab26489e-c90c-3804-b800-5e21ef93451b</guid><pubDate>Fri, 14 Mar 2025 22:02:27 -0006</pubDate></item><item><title>Problem 1209879 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209879</link><description>This problem was solved by ikleyn:. If one adult is randomly selected from these 700 adults, findthe probability that this adult i. likes chocolate ice cream ii. is a woman iii. likes vanilla ice cream given that this adult is a woman iv. is a man given that this adult likes chocolate ice creamb. Are events men and vanilla ice cream mutually exclusive?What about chocolate ice cream and vanilla ice cream?c. Are events women and chocolate ice cream independent?Why or why not?</description><guid isPermaLink="false">a098cd0d-c892-39cb-9d0a-94409e737ffa</guid><pubDate>Fri, 14 Mar 2025 12:02:12 -0006</pubDate></item><item><title>Problem 1171379 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171379</link><description>This problem was solved by ikleyn:An architect has a pool in the floor plans for a home. Set up a determinant that gives the unit area of the pool. Coordinates given: (4,4) (1, -5) (-5, -3)</description><guid isPermaLink="false">ba6a0805-81b4-3b3e-9e32-a69109de4f1e</guid><pubDate>Fri, 14 Mar 2025 11:31:51 -0006</pubDate></item><item><title>Problem 1209874 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209874</link><description>This problem was solved by ikleyn:Let (x,y,z) be the real solution to the system of equationsx + y = \sqrt{4z + 3}y + z = \sqrt{4x - 1}z + x = \sqrt{4y + 5}Find x + y + z.</description><guid isPermaLink="false">bee2da9c-eed5-3d24-84d4-987fcfb19a2f</guid><pubDate>Fri, 14 Mar 2025 11:27:54 -0006</pubDate></item><item><title>Problem 1171379 solved by timofer</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171379</link><description>This problem was solved by timofer:An architect has a pool in the floor plans for a home. Set up a determinant that gives the unit area of the pool. Coordinates given: (4,4) (1, -5) (-5, -3)</description><guid isPermaLink="false">4a2e19ac-8c05-3cfc-8bae-d04f6a310259</guid><pubDate>Fri, 14 Mar 2025 00:57:51 -0006</pubDate></item><item><title>Problem 1209873 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209873</link><description>This problem was solved by ikleyn:Find all x such that sqrt{3x^2 + 2x + 1} + sqrt{3x^2 + 2x - 3} = 20.</description><guid isPermaLink="false">a595f3ee-42f1-36e3-ae4c-0df75946fb27</guid><pubDate>Thu, 13 Mar 2025 22:11:59 -0006</pubDate></item><item><title>Problem 1171379 solved by josgarithmetic</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171379</link><description>This problem was solved by josgarithmetic:An architect has a pool in the floor plans for a home. Set up a determinant that gives the unit area of the pool. Coordinates given: (4,4) (1, -5) (-5, -3)</description><guid isPermaLink="false">a4869845-b9ad-3578-a1c8-a69a6146ed79</guid><pubDate>Thu, 13 Mar 2025 15:57:30 -0006</pubDate></item><item><title>Problem 1171395 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171395</link><description>This problem was solved by CPhill:""Untitled," by Stephen Chen I've often wondered how software is released and sold to the public. Ironically, I work for a company that sells products with known problems. Unfortunately, most of the problems are difficult to create, which makes them difficult to fix. I usually use the test program X, which tests the product, to try to create a specific problem. When the test program is run to make an error occur, the likelihood of generating an error is 1%. So, armed with this knowledge, I wrote a new test program Y that will generate the same error that test program X creates, but more often. To find out if my test program is better than the original, so that I can convince the management that I'm right, I ran my test program to find out how often I can generate the same error. When I ran my test program 50 times, I generated the error twice. While this may not seem much better, I think that I can convince the management to use my test program instead of the original test program. Am I right? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)" I need help stating the distribution to use for the test. (I must round my answers to four decimal places.) format: P'~ N (____, ____)</description><guid isPermaLink="false">585f1aca-0414-3522-a343-0d6d4f157342</guid><pubDate>Thu, 13 Mar 2025 11:32:38 -0006</pubDate></item><item><title>Problem 1171398 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171398</link><description>This problem was solved by CPhill:A computer randomly deals an ordinary decks of cards for a game of FreeCell, and the first card dealt is a red card. Find the probability that the card was also a heart. Write your answer in exact simplified form. The probability that the card was also a heart is______</description><guid isPermaLink="false">f60d5e79-2249-32d5-ace7-066897b20276</guid><pubDate>Thu, 13 Mar 2025 11:32:11 -0006</pubDate></item><item><title>Problem 1209872 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209872</link><description>This problem was solved by CPhill:Simplify \frac{6 \sqrt{2]}{\sqrt{2} - \sqrt{3} - \sqrt{5}}</description><guid isPermaLink="false">f078bb6e-3f7b-320f-bc7b-571ebc64bf55</guid><pubDate>Thu, 13 Mar 2025 11:31:31 -0006</pubDate></item><item><title>Problem 1209873 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209873</link><description>This problem was solved by CPhill:Find all x such that sqrt{3x^2 + 2x + 1} + sqrt{3x^2 + 2x - 3} = 20.</description><guid isPermaLink="false">8a48a2d7-6ca0-34a3-8e5b-fc7f4255c6cd</guid><pubDate>Thu, 13 Mar 2025 11:30:00 -0006</pubDate></item><item><title>Problem 1209874 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209874</link><description>This problem was solved by CPhill:Let (x,y,z) be the real solution to the system of equationsx + y = \sqrt{4z + 3}y + z = \sqrt{4x - 1}z + x = \sqrt{4y + 5}Find x + y + z.</description><guid isPermaLink="false">37526344-91ea-3df6-acd6-743e03259b1a</guid><pubDate>Thu, 13 Mar 2025 11:29:25 -0006</pubDate></item><item><title>Problem 1209875 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209875</link><description>This problem was solved by CPhill:Fill in the blanks with constants, to make a true equation: \frac{x^2 - 6x - 3}{x^3 - 4x} = ___/x + ___/(x - 2) + ___/(x + 2)</description><guid isPermaLink="false">4bb56727-f40b-3a0c-9b83-dbfb69206d3a</guid><pubDate>Thu, 13 Mar 2025 11:28:37 -0006</pubDate></item><item><title>Problem 1170506 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1170506</link><description>This problem was solved by ikleyn:P^(qvr)</description><guid isPermaLink="false">20b53227-d443-3aa8-9bc9-70826e7443ff</guid><pubDate>Thu, 13 Mar 2025 02:20:20 -0006</pubDate></item><item><title>Problem 1170888 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1170888</link><description>This problem was solved by ikleyn:The triangles ABC and XYZ are similar. The side AB is 5 cm long. The sides BC andYZ are 7 cm and 3 cm longer than the side XY, respectively. Find the length of XY.</description><guid isPermaLink="false">90f27255-1ec5-33de-9a8b-ddcacbcaee9e</guid><pubDate>Thu, 13 Mar 2025 01:15:40 -0006</pubDate></item><item><title>Problem 1171418 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171418</link><description>This problem was solved by ikleyn:Chip M. Akers is trying to determine if changing the baking temperature in the frier will reduce the amount of grease absorbed by his potato chips. Chip has 40 uncooked potato chips that he can use in his study. He wants to do an experiment, comparing the amount of grease absorbed at 180o C with the amount of grease absorbed at 220o C. Draw a diagram that summarizes the design of his experiment.</description><guid isPermaLink="false">fa86023d-0115-3de9-8d48-df40a49596b9</guid><pubDate>Wed, 12 Mar 2025 22:28:23 -0006</pubDate></item><item><title>Problem 1171404 solved by josgarithmetic</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171404</link><description>This problem was solved by josgarithmetic:HiTown P and town Q are 720km apart.Maggie & Andrew left town P at the same time. The average speed of Andrew was 40km per hour, Maggies was 60km per hour. As soon as they passed Point K which was 1/3 of the total distance,Maggie began to travel at a speed of 80km per hour. Both of them took the same number of hours to travel from town P to town Q. How long did Maggie take to travel from town P to Point K.What was Andrews speed from Point K to town Q.Thanks</description><guid isPermaLink="false">42f94a15-0e72-3797-bfb8-318ed79a5ab8</guid><pubDate>Wed, 12 Mar 2025 19:23:03 -0006</pubDate></item><item><title>Problem 1209870 solved by math_tutor2020</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209870</link><description>This problem was solved by math_tutor2020:Fill in the blanks. If f(x) is an even function and g(x) is an even function and h(x) is an even function, then f(x) + g(x) + h(x) is an ___ function. If f(x) is an odd function and g(x) is an odd function and h(x) is an even function, then f(x)*g(x) + h(x) is an ___ function. If f(x) is an even function and g(x) is an odd function and h(x) is an odd function, then f(x)*(g(x) + h(x)) is an ___ function. If f(x) is an odd function and g(x) is an even function and h(x) is an odd function, then f(x)*g(x)*h(x) is an ___ function.</description><guid isPermaLink="false">d2ad574f-8b3a-305a-b369-2c05abee9821</guid><pubDate>Wed, 12 Mar 2025 18:18:04 -0006</pubDate></item><item><title>Problem 1209868 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1209868</link><description>This problem was solved by ikleyn:If 2^{16^x} = 128*4^x, then find 2^x.</description><guid isPermaLink="false">3d87c62d-e4b1-3f10-a64d-35bdb15ccf95</guid><pubDate>Wed, 12 Mar 2025 16:55:27 -0006</pubDate></item><item><title>Problem 1171423 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171423</link><description>This problem was solved by CPhill:A researched wants to study the attitudes of college students towards credit cards. She plants to randomly select a sample of n students and give each a survey. She would like to have at least 50 students in the sample who regularly use credit cards. If 25% of all college students regularly use credit cards, estimate the minimum size of n so that the sample will contain 50 students who regularly use credit cards with a probability of at least 0.95. I know this is a binomial approximation but I am not sure how to set this up.</description><guid isPermaLink="false">23175e1f-8174-3f10-886c-1e64c006ebc9</guid><pubDate>Wed, 12 Mar 2025 15:00:30 -0006</pubDate></item><item><title>Problem 1171432 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171432</link><description>This problem was solved by CPhill:#1. Log2(3x-7)+log2(x+2)=log2(x+1) #2. Log2(3x+1)-log2(2-4x)>log2(5x-2)</description><guid isPermaLink="false">280c9009-6529-3c71-8e21-ca657998f4fe</guid><pubDate>Wed, 12 Mar 2025 13:54:05 -0006</pubDate></item><item><title>Problem 1171433 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171433</link><description>This problem was solved by CPhill:Elmer is organizing a fund raising basketball tournament in their barangay. He plans to charge PHP20 entry fee for each 80 players. He recently decided to raise the entry fee by PHP5 and 5 fewer players entered with the increase. How much would Elmer charge in order to maximize the income?</description><guid isPermaLink="false">8d03cf6e-5375-302f-8ab9-7699e6d20532</guid><pubDate>Wed, 12 Mar 2025 13:47:31 -0006</pubDate></item><item><title>Problem 1171438 solved by CPhill</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1171438</link><description>This problem was solved by CPhill:"The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of four English courses with a standard deviation of 0.7. The females took an average of five English courses with a standard deviation of 1.1. Are the means statistically the same? (Use = 0.05) NOTE: If we are using a Student's t-distribution for the problem, including for paired data, we may assume that the underlying population is normally distributed. (In general, we must first prove that assumption, though.)" I need help stating the distribution to use for the test (I have to enter my answer in the form z or tdf, where df is the degrees of freedom. I need to round my answer to two decimal places as well)</description><guid isPermaLink="false">7b9c6560-dc5a-3813-b08c-1cfd0862c164</guid><pubDate>Wed, 12 Mar 2025 13:46:11 -0006</pubDate></item></channel></rss>If you would like to create a banner that links to this page (i.e. this validation result), do the following:
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