[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-143974-105":59,"doc-detail-143974-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","wiut-150425-azamath","WIUT 15.04.25 AzaMath","","This document contains a series of mathematical problems from a test or assignment labeled \"WIUT 15.04.25 AzaMath.\" The problems cover a wide range of topics including algebra, calculus, geometry, statistics, and word problems. Specific problems include solving exponential equations, finding the area of a shape with identical circular objects and an isosceles triangle, calculating the mean of a data set after removing the lowest score, finding the equation of a parabola given several points, and determining the maximum number of sandwiches that can be made given ingredient constraints. Other problems involve solving for variables in equations, interpreting function behavior, and analyzing data sets. The document also includes a section with mathematical symbols and a reference to social media in Russian.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/wiut-150425-azamath/143974/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/wiut-150425-azamath/143974.png","ImageObject",300,407,{"name":92,"@type":93},"Eden","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What kind of mathematical problems are included in this document?","Question",{"text":113,"@type":114},"The document includes a variety of mathematical problems covering algebra, calculus, geometry, statistics, and word problems, likely for an exam or assignment.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Can you provide an example of an algebra problem from the document?",{"text":118,"@type":114},"Yes, problem 2 asks to solve the exponential equation 9^x - 3^x - 12 = 0, and problem 1 asks to find the difference between g(x) and x when f(x) = 1/x, g(x) = x^2 - 10, and x = 3.",{"name":120,"@type":111,"acceptedAnswer":121},"Does the document include problems related to statistics or data analysis?",{"text":122,"@type":114},"Yes, problem 11 asks to calculate the mean of a new data set after removing the lowest score from an initial set of 5 tests, and problem 9 involves operations on data sets of odd and prime numbers.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},143974,1787697787,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":39},1374391974468,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","WIUT 15.04.25 from AzaMath  \n1. If 􀝂(􀝔) = 1~~ ~~􀯫 , 􀝃 (􀝔) = 􀝔 2 − 10 and 􀝔 = 3. Find the difference between 􀝃 (􀝔) and 􀝔 .  \n2. Solve the exponential equation 9􀯫 − 3􀯫 − 12 = 0  \n3. Find 􀝔  \n4. {􀝔􀝔􀝔2􀝕􀝕􀝕\u003C4 7 find y.  \n5. Find 􀜵􀮺􀮻􀮼􀮽 if 􀜣􀜦 = 10  \n6. A certain shape is given. The circular objects are identical, and the triangle is isosceles. Find the area of this shape.  \n7. 2􀝔 − 8 is equal to 80 percent of 5􀝕 . What is 􀯬􀯫?  \n8. 􀝂(􀝔) = √􀝔 2 + 0, 5. Which values are NOT possible for 􀝂(􀝔)?  \n9. Data set 1 consists of odd numbers less than 10. Data set 2 consists of prime numbers less than 20 (i.e., numbers divisible only by 1 and themselves) . What is the difference between the union of the two data sets and the difference of their intersection?  \n10. Company 􀜣 charges $1 .00 for the first 3 minutes of talk, and $0 .25 for each additional minute. Company 􀜤 charges $0 .5 for 􀝐 minutes. Find the value of 􀝐 at which both companies charge the same amount.  \n11. Sardor had 5 tests. The mean of these 5 tests is 75. The teacher decided to remove the lowest score, which is 55. What is the mean of the new data set?  \n12. Find the equation of the given function. The function is a parabola. It passes through the following points: (3; 0),(– 2; 0), and (0; 6) .  \nThe maximum point is (12 ; 254) .  \n13. You have 100 pieces of bread, 65 tomatoes, and 80 slices of ham. To make one sandwich, you need 2 pieces of bread, 1 tomato, and 2 slices of ham. What is the maximum number of sandwiches you can make?  \n14. By 7 AM, 14 of the students had arrived. An hour later, 80 more students arrived, bringing the total to 34 of all the students. What is the total number of students in the school?  \n15.  \n􀝉1 ||􀝉2  \n􀝔 + 􀝕 =?  \n16. Find the minimum value of the function 􀝂(􀝔) = 􀝔 2 + 4􀝔 + 2.  \n17. Find 􀝔  \nНаши социальные сети","cbCaijY78LcNTgCy","https://ap.wps.com/l/cbCaijY78LcNTgCy","pdf",285662,"English","# Mathematical Problems\n## Problem 1: Function Difference\n## Problem 2: Exponential Equation\n## Problem 3: Solve for X\n## Problem 4: Find Y\n## Problem 5: Calculate Area\n## Problem 6: Shape Area Calculation\n## Problem 7: Percentage Equation\n## Problem 8: Function Range\n## Problem 9: Data Set Operations\n## Problem 10: Cost Comparison\n## Problem 11: Mean Calculation\n## Problem 12: Parabola Equation\n## Problem 13: Sandwich Production\n## Problem 14: Student Number Calculation\n## Problem 15: Parallel Lines\n## Problem 16: Minimum Function Value\n## Problem 17: Solve for X","[{\"question\":\"What kind of mathematical problems are included in this document?\",\"answer\":\"The document includes a variety of mathematical problems covering algebra, calculus, geometry, statistics, and word problems, likely for an exam or assignment.\"},{\"question\":\"Can you provide an example of an algebra problem from the document?\",\"answer\":\"Yes, problem 2 asks to solve the exponential equation 9^x - 3^x - 12 = 0, and problem 1 asks to find the difference between g(x) and x when f(x) = 1/x, g(x) = x^2 - 10, and x = 3.\"},{\"question\":\"Does the document include problems related to statistics or data analysis?\",\"answer\":\"Yes, problem 11 asks to calculate the mean of a new data set after removing the lowest score from an initial set of 5 tests, and problem 9 involves operations on data sets of odd and prime numbers.\"}]","WIUT 15.04.25 AzaMath | PDF"]