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  8. <title>Algebra.Com New solved problems</title>
  9. <link>http://www.algebra.com</link>
  10. <description>New Solutions by tutors</description>
  11. <language>en-us</language>
  12. <copyright>Copyright Algebra.Com</copyright>
  13. <pubDate>Mon,  6 May 2024 04:44:00 +0000</pubDate>
  14. <lastBuildDate>Mon,  6 May 2024 04:44:00 +0000</lastBuildDate>
  15. <managingEditor>webmaster@algebra.com</managingEditor>
  16. <webMaster>webmaster@algebra.com</webMaster>
  17.  
  18. <item>
  19. <title>Problem 1207211 solved by math_tutor2020</title>
  20. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207211</link>
  21. <description>This problem was solved by math_tutor2020:
  22. Can you please help me solve the following trigonometry exact values with working out:
  23. sin 2pi/3  
  24. cos 3pi/4
  25. tan 5pi/6
  26. sin 7pi/6
  27. cos 5pi/4
  28. tan 4pi/3
  29. sin 5pi/3
  30. cos 7pi/4
  31. tan 11pi/6
  32. I know it is a lot of questions to ask but I am quite stuck. It would be nice if all of them are complete but if this is too much to ask for atleast half to 3/4s of them would be nice. Thankyou!</description>
  33. <guid isPermaLink="false">c5ba6573-359f-38cb-a1d6-32bdb88c208e</guid>
  34. <pubDate>Sun, 05 May 2024 16:32:30 -0006</pubDate>
  35. </item>
  36. <item>
  37. <title>Problem 1207213 solved by josgarithmetic</title>
  38. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207213</link>
  39. <description>This problem was solved by josgarithmetic:
  40. Tanks are long lasting and are available in various sizes. Holding capacity ranges from as small as 3m diameter 1.5m high (10000 litres) up to 12m diameter  2.2m high(? Litres)
  41. 1. Determine the circumference of the small tank
  42. 2. Prove by means of calculation that the smaller tank has a capacity of 10000 or more litres </description>
  43. <guid isPermaLink="false">2c9bf62a-7b7a-3012-a432-7bbf2a888a27</guid>
  44. <pubDate>Sun, 05 May 2024 14:34:56 -0006</pubDate>
  45. </item>
  46. <item>
  47. <title>Problem 1207191 solved by MathTherapy</title>
  48. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207191</link>
  49. <description>This problem was solved by MathTherapy:
  50. Secretariat completed the race in 144 seconds, and Twice a Prince finished in 148.6 seconds. How far was the race in feet if Secretariat ran about 1.7 feet per second faster than Twice a Prince? Round answer to the nearest whole number.</description>
  51. <guid isPermaLink="false">bd0f7e95-3baf-39ba-96c1-929921054e9a</guid>
  52. <pubDate>Sun, 05 May 2024 14:30:17 -0006</pubDate>
  53. </item>
  54. <item>
  55. <title>Problem 1207212 solved by Shin123</title>
  56. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207212</link>
  57. <description>This problem was solved by Shin123:
  58. prove that (n+1)^n+1 is divisible by n^2 by using binomial theorem
  59. </description>
  60. <guid isPermaLink="false">30b978df-cbc7-326c-a8bd-2e57adc75e21</guid>
  61. <pubDate>Sun, 05 May 2024 11:44:04 -0006</pubDate>
  62. </item>
  63. <item>
  64. <title>Problem 1207211 solved by Theo</title>
  65. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207211</link>
  66. <description>This problem was solved by Theo:
  67. Can you please help me solve the following trigonometry exact values with working out:
  68. sin 2pi/3  
  69. cos 3pi/4
  70. tan 5pi/6
  71. sin 7pi/6
  72. cos 5pi/4
  73. tan 4pi/3
  74. sin 5pi/3
  75. cos 7pi/4
  76. tan 11pi/6
  77. I know it is a lot of questions to ask but I am quite stuck. It would be nice if all of them are complete but if this is too much to ask for atleast half to 3/4s of them would be nice. Thankyou!</description>
  78. <guid isPermaLink="false">6bfd2f51-ef09-39eb-9e6b-f1c3279a00cf</guid>
  79. <pubDate>Sun, 05 May 2024 06:46:38 -0006</pubDate>
  80. </item>
  81. <item>
  82. <title>Problem 1207209 solved by Edwin McCravy</title>
  83. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207209</link>
  84. <description>This problem was solved by Edwin McCravy:
  85. To win at LOTTO in one state, one must correctly select 4 numbers from a collection of 65 numbers</description>
  86. <guid isPermaLink="false">ee570b6b-f0ce-3b61-8488-5b6caa9172ae</guid>
  87. <pubDate>Sat, 04 May 2024 08:29:06 -0006</pubDate>
  88. </item>
  89. <item>
  90. <title>Problem 1207209 solved by MathLover1</title>
  91. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207209</link>
  92. <description>This problem was solved by MathLover1:
  93. To win at LOTTO in one state, one must correctly select 4 numbers from a collection of 65 numbers</description>
  94. <guid isPermaLink="false">6a646f05-e420-3af7-a7c7-f431947145bc</guid>
  95. <pubDate>Fri, 03 May 2024 21:05:48 -0006</pubDate>
  96. </item>
  97. <item>
  98. <title>Problem 1207205 solved by ikleyn</title>
  99. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207205</link>
  100. <description>This problem was solved by ikleyn:
  101. 1) How many ways can 3 boys and 3 girls stand in a line if
  102. a) There are no restrictions.
  103. b) All boys must stand next to each other.
  104. c) all boys and all girls stand alternately by gender.
  105. d) Two particular boys must stand next to each other and at the same time two particular girls must stand next to each other
  106. e) Two particular boys must stand next to each other and at the same time two particular girls must not stand next to each other
  107.  
  108. 2) How many ways can 4 boys and 4 girls stand in a circle if
  109. a) There are no restrictions.
  110. b) All boys must stand next to each other.
  111. c) all boys and all girls stand alternately by gender.
  112. d) Two particular boys must stand next to each other and at the same time two particular girls must stand next to each other
  113. e) Two particular boys must stand next to each other and at the same time two particular girls must not stand next to each other
  114. </description>
  115. <guid isPermaLink="false">d1194137-6ed7-3983-bd46-00ac4331bae6</guid>
  116. <pubDate>Fri, 03 May 2024 14:54:56 -0006</pubDate>
  117. </item>
  118. <item>
  119. <title>Problem 1207208 solved by ikleyn</title>
  120. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207208</link>
  121. <description>This problem was solved by ikleyn:
  122. The wholesale price for a desk is $187. A certain furniture store marks up the wholesale price by
  123. 27%. Find the price of the desk in the furniture store.
  124. Round your answer to the nearest cent, as necessary.</description>
  125. <guid isPermaLink="false">91701ef6-e47a-3c9d-8d86-94ae27024aa8</guid>
  126. <pubDate>Fri, 03 May 2024 14:41:14 -0006</pubDate>
  127. </item>
  128. <item>
  129. <title>Problem 1207206 solved by ikleyn</title>
  130. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207206</link>
  131. <description>This problem was solved by ikleyn:
  132. A local grocery store tested spinach samples for E coli bacteria using two different tests. The first test has a 94% probability of giving accurate results, while the second test is accurate 89% of the time. A sample that contains E coli bacteria is tested.
  133. The probability that both tests detect the bacteria is</description>
  134. <guid isPermaLink="false">22b0b0b3-6073-3c47-b8c8-4dd55e6725f3</guid>
  135. <pubDate>Fri, 03 May 2024 13:04:36 -0006</pubDate>
  136. </item>
  137. <item>
  138. <title>Problem 1207207 solved by ikleyn</title>
  139. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207207</link>
  140. <description>This problem was solved by ikleyn:
  141. A small glass pyramid is packaged inside a box. The pyramid has a length and width of 2 inches and a height of 4 inches. the box is 5in x 5in x 5in how much will be left inside the box to put bubble wrap
  142. </description>
  143. <guid isPermaLink="false">cf2169cf-2a7d-3541-b11c-4ad16b4e3463</guid>
  144. <pubDate>Fri, 03 May 2024 12:55:37 -0006</pubDate>
  145. </item>
  146. <item>
  147. <title>Problem 1207204 solved by math_tutor2020</title>
  148. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207204</link>
  149. <description>This problem was solved by math_tutor2020:
  150. You have $2,500 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month( assuming you dont charge anything new to the card)?
  151. </description>
  152. <guid isPermaLink="false">45cddf1a-7e24-3e78-a70b-0c2c04d972a9</guid>
  153. <pubDate>Thu, 02 May 2024 22:39:22 -0006</pubDate>
  154. </item>
  155. <item>
  156. <title>Problem 1207204 solved by MathLover1</title>
  157. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207204</link>
  158. <description>This problem was solved by MathLover1:
  159. You have $2,500 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month( assuming you dont charge anything new to the card)?
  160. </description>
  161. <guid isPermaLink="false">7cf084c5-48ac-3c4b-89ad-c0c04164ce05</guid>
  162. <pubDate>Thu, 02 May 2024 21:57:11 -0006</pubDate>
  163. </item>
  164. <item>
  165. <title>Problem 1207203 solved by MathLover1</title>
  166. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207203</link>
  167. <description>This problem was solved by MathLover1:
  168. -7(5x+9y)-3(4y-4x)</description>
  169. <guid isPermaLink="false">5937b59a-a867-3d14-8c98-4a90867342dd</guid>
  170. <pubDate>Wed, 01 May 2024 22:42:06 -0006</pubDate>
  171. </item>
  172. <item>
  173. <title>Problem 1207203 solved by josgarithmetic</title>
  174. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207203</link>
  175. <description>This problem was solved by josgarithmetic:
  176. -7(5x+9y)-3(4y-4x)</description>
  177. <guid isPermaLink="false">5979ef16-203c-307e-90a3-2175789b3ca0</guid>
  178. <pubDate>Wed, 01 May 2024 21:48:01 -0006</pubDate>
  179. </item>
  180. <item>
  181. <title>Problem 1207197 solved by greenestamps</title>
  182. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207197</link>
  183. <description>This problem was solved by greenestamps:
  184. Hi
  185.  
  186. Four friends Aisha Ben Cathy and Daniel shared lunch equally. Aisha paid 3/5 of the total amount Ben and Cathy paid. Cathy paid $10 more than Ben. Daniel repaid $24.00 to Aisha and some money to Ben and Cathy.
  187. How much did Daniel repay to Ben and Cathy</description>
  188. <guid isPermaLink="false">3c8c52ef-dc0c-37e3-b5e0-6f5f384f854d</guid>
  189. <pubDate>Wed, 01 May 2024 15:32:42 -0006</pubDate>
  190. </item>
  191. <item>
  192. <title>Problem 1207198 solved by MathLover1</title>
  193. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207198</link>
  194. <description>This problem was solved by MathLover1:
  195. Billy invested in a savings account for 3 years and was paid an annual rate of 4%.  The total interest that he earned was $72. How much did he invest?</description>
  196. <guid isPermaLink="false">1df3dee3-092b-32dc-8fb8-30210e1990ed</guid>
  197. <pubDate>Wed, 01 May 2024 14:28:31 -0006</pubDate>
  198. </item>
  199. <item>
  200. <title>Problem 1207199 solved by ikleyn</title>
  201. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207199</link>
  202. <description>This problem was solved by ikleyn:
  203. tumi is selling two types of umbrellas.he sells type c at R45 a pair he sells type d at R30 .if he sold 16 pairs in total and had a totl income of R585,how many pairs of sock c did h did Sal sell?
  204. </description>
  205. <guid isPermaLink="false">6d82bd51-e171-348a-8df9-2e8c08b4397b</guid>
  206. <pubDate>Wed, 01 May 2024 12:26:38 -0006</pubDate>
  207. </item>
  208. <item>
  209. <title>Problem 1207199 solved by greenestamps</title>
  210. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207199</link>
  211. <description>This problem was solved by greenestamps:
  212. tumi is selling two types of umbrellas.he sells type c at R45 a pair he sells type d at R30 .if he sold 16 pairs in total and had a totl income of R585,how many pairs of sock c did h did Sal sell?
  213. </description>
  214. <guid isPermaLink="false">d2caebfc-7447-355c-8d84-0c57a3455afe</guid>
  215. <pubDate>Wed, 01 May 2024 11:17:15 -0006</pubDate>
  216. </item>
  217. <item>
  218. <title>Problem 1207197 solved by ikleyn</title>
  219. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207197</link>
  220. <description>This problem was solved by ikleyn:
  221. Hi
  222.  
  223. Four friends Aisha Ben Cathy and Daniel shared lunch equally. Aisha paid 3/5 of the total amount Ben and Cathy paid. Cathy paid $10 more than Ben. Daniel repaid $24.00 to Aisha and some money to Ben and Cathy.
  224. How much did Daniel repay to Ben and Cathy</description>
  225. <guid isPermaLink="false">c08ba546-f80a-334c-8c40-a20eb537006f</guid>
  226. <pubDate>Wed, 01 May 2024 10:36:18 -0006</pubDate>
  227. </item>
  228. <item>
  229. <title>Problem 1207035 solved by Theo</title>
  230. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207035</link>
  231. <description>This problem was solved by Theo:
  232. The number of births at the local hospital has a Poisson distribution with an average of 48 per day.
  233.  
  234. (a)
  235. What is the probability distribution for the daily number of births at this hospital?
  236. p(x) =
  237.  
  238. (b)
  239. What is the probability distribution for the number of hourly births?
  240. p(x) =
  241.  
  242.  
  243. (c)
  244. What is the probability that there are fewer than 3 births in a given hour? (Round your answer to three decimal places.)
  245.  
  246.  
  247. (d)
  248. Within what interval does Tchebysheff&#x27;s Theorem suggest you would expect to find the number of hourly births at least 89% of the time? (Round your answer up to the nearest whole number.)
  249. interval (a,b) = </description>
  250. <guid isPermaLink="false">7961fbac-fa83-3cf3-a999-f080e590b825</guid>
  251. <pubDate>Wed, 01 May 2024 08:15:13 -0006</pubDate>
  252. </item>
  253. <item>
  254. <title>Problem 1207194 solved by ikleyn</title>
  255. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207194</link>
  256. <description>This problem was solved by ikleyn:
  257. Q:1- (a) Solve (4)^x = x.  (b) Solve (6)^x = x.
  258.     [Here ^ means power].
  259. Q:2- Construct three examples of inner product space which are not Banach space.
  260. Q:3- Use Mathematical induction to prove that n n when n &#x3E;= 4.
  261.     [Here &#x3E;= means equal or more than]</description>
  262. <guid isPermaLink="false">1666dd0b-f5f1-382e-bce1-498278f403c5</guid>
  263. <pubDate>Tue, 30 Apr 2024 23:53:34 -0006</pubDate>
  264. </item>
  265. <item>
  266. <title>Problem 1207195 solved by ikleyn</title>
  267. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207195</link>
  268. <description>This problem was solved by ikleyn:
  269. Q:1- Solve (6)^x = x. [Here ^ means power].
  270. Q:2- Write two examples of inner product space which are not Banach space.
  271. Q:3- Prove that n n when n &#x3E;= 4 by using Mathematical Induction.
  272.     [Here &#x3E;= means equal or more than]</description>
  273. <guid isPermaLink="false">23548d16-d253-3569-9c50-3c7538be7d6e</guid>
  274. <pubDate>Tue, 30 Apr 2024 23:43:46 -0006</pubDate>
  275. </item>
  276. <item>
  277. <title>Problem 1207192 solved by math_tutor2020</title>
  278. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207192</link>
  279. <description>This problem was solved by math_tutor2020:
  280. given the system of equations 2x-3y-9z=20 x+3z=-2 -3x+y-4z=-2 find the complete solution write x and y as functions of z </description>
  281. <guid isPermaLink="false">902f73f2-5378-315f-ac17-4529fc24d15e</guid>
  282. <pubDate>Tue, 30 Apr 2024 22:07:25 -0006</pubDate>
  283. </item>
  284. <item>
  285. <title>Problem 1207192 solved by greenestamps</title>
  286. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207192</link>
  287. <description>This problem was solved by greenestamps:
  288. given the system of equations 2x-3y-9z=20 x+3z=-2 -3x+y-4z=-2 find the complete solution write x and y as functions of z </description>
  289. <guid isPermaLink="false">88e01f99-761a-3ba0-a369-48409e0c3cb1</guid>
  290. <pubDate>Tue, 30 Apr 2024 20:14:15 -0006</pubDate>
  291. </item>
  292. </channel>
  293. </rss>

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