{"id":200110,"date":"2025-03-13T07:56:16","date_gmt":"2025-03-13T07:56:16","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=200110"},"modified":"2025-03-13T07:56:19","modified_gmt":"2025-03-13T07:56:19","slug":"the-worlds-largest-snowman-was-higher-than-a-12-story-building","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/13\/the-worlds-largest-snowman-was-higher-than-a-12-story-building\/","title":{"rendered":"The world&#8217;s largest snowman was higher than a 12-story building"},"content":{"rendered":"\n<p>The world&#8217;s largest snowman was higher than a 12-story building. One story is equivalent to 11 feet tall. How many inches high was the snowman? (Hint: 1 foot = 12 inches).<\/p>\n\n\n\n<p>The graph of y=log(x-4) has a vertical asymptote at x = -4.<\/p>\n\n\n\n<p>A. True<br>B. False<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Part 1: Snowman Height Calculation<\/h3>\n\n\n\n<p>We are told that the world&#8217;s largest snowman was taller than a 12-story building. Each story is equivalent to 11 feet in height. To calculate the snowman&#8217;s height in inches, we need to first determine the total height in feet, then convert that into inches.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Calculate the total height in feet<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Height of one story = 11 feet<\/li>\n\n\n\n<li>Number of stories = 12<br>Thus, the total height of the snowman in feet is:<\/li>\n<\/ul>\n\n\n\n<p>[<br>\\text{Total Height (in feet)} = 12 \\, \\text{stories} \\times 11 \\, \\text{feet per story} = 132 \\, \\text{feet}<br>]<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Convert the height from feet to inches<\/h4>\n\n\n\n<p>Since 1 foot equals 12 inches, we multiply the height in feet by 12 to convert it to inches:<\/p>\n\n\n\n<p>[<br>\\text{Total Height (in inches)} = 132 \\, \\text{feet} \\times 12 \\, \\text{inches per foot} = 1584 \\, \\text{inches}<br>]<\/p>\n\n\n\n<p>So, the snowman was <strong>1584 inches<\/strong> tall.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Part 2: Vertical Asymptote of ( y = \\log(x-4) )<\/h3>\n\n\n\n<p>The function in question is ( y = \\log(x &#8211; 4) ). To understand its behavior, we need to examine the equation and its domain:<\/p>\n\n\n\n<p>The logarithmic function ( \\log(x &#8211; 4) ) is defined only when the argument ( x &#8211; 4 ) is greater than zero. This means that:<\/p>\n\n\n\n<p>[<br>x &#8211; 4 &gt; 0 \\quad \\Rightarrow \\quad x &gt; 4<br>]<\/p>\n\n\n\n<p>Thus, the domain of the function is ( x &gt; 4 ), and the function is undefined for ( x \\leq 4 ). The graph of ( y = \\log(x &#8211; 4) ) has a <strong>vertical asymptote<\/strong> at ( x = 4 ) because as ( x ) approaches 4 from the right (i.e., from values greater than 4), the function values approach negative infinity. The function approaches positive infinity as ( x ) moves further to the right.<\/p>\n\n\n\n<p>Since the problem statement says that the vertical asymptote is at ( x = -4 ), this is <strong>false<\/strong>. The correct vertical asymptote is at ( x = 4 ), not ( x = -4 ).<\/p>\n\n\n\n<p>Thus, the correct answer is:<\/p>\n\n\n\n<p><strong>B. False<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The snowman was <strong>1584 inches<\/strong> tall, calculated by first determining its height in feet and then converting it to inches.<\/li>\n\n\n\n<li>The function ( y = \\log(x &#8211; 4) ) has a vertical asymptote at ( x = 4 ), not ( x = -4 ), so the statement is false.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>The world&#8217;s largest snowman was higher than a 12-story building. One story is equivalent to 11 feet tall. How many inches high was the snowman? (Hint: 1 foot = 12 inches). The graph of y=log(x-4) has a vertical asymptote at x = -4. A. TrueB. False The correct answer and explanation is : Part 1: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-200110","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/200110","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=200110"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/200110\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=200110"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=200110"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=200110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}