@import url(https://fonts.googleapis.com/css2?family=Lato:ital,wght@0,400;0,700;1,400&subset=latin&display=swap);@import url(https://fonts.googleapis.com/css2?family=Rubik:ital,wght@0,400;0,500;0,700;1,400;1,500;1,700&display=swap);.math-tex[data-centered=true]{display:block;margin:1em 0;text-align:center}.math-tex[data-centered=false]{display:inline-block}.math-tex[data-centered]{width:auto}#total-count{margin:5px}#force-submit-button{cursor:pointer;font-size:12pt}#question p{font-size:14pt;margin:0 auto}.editor{height:50vh;position:relative;width:100%}.user-area{--lmsActionBarHeight:9rem;--lmsActionBarWidth:100vw}.lms-actionBar{left:50%;transform:translateX(-50%);width:var(--lmsActionBarWidth)}@media(min-width:1200px){.user-area{--lmsActionBarWidth:75vw}}@media(min-width:768px){.user-area{--lmsActionBarHeight:5rem}}.btn{min-width:9.5rem;transition:opacity .3s ease}.btn.disabled{pointer-events:none}#pause-button .fa-pause-circle{font-size:1.375rem}#helpList h1{color:#05bef1}#helpList .btn.btn-link{align-items:center;color:#646464;display:flex;text-decoration:none;width:100%}body{overflow-x:hidden!important;position:static!important}.info-holder{font-family:Arial,Helvetica,sans-serif}#cm-limit,#cm-penalty,#toolbar-toggle,#toolbox-choice{display:flex;flex-direction:column}#question-holder{min-height:10rem;padding:10px 0;-webkit-user-select:text;-moz-user-select:text;user-select:text}.title{display:inline;height:2rem;vertical-align:middle}select{margin:0 5px}.content{align-items:center;display:flex;flex-direction:column}#hypatia-container{width:100%}#loading{display:flex;left:50%;position:absolute;top:50%;transform:translateX(-50%)}/*!
* # Semantic UI 2.5.0 - Icon
* http://github.com/semantic-org/semantic-ui/
*
*
* Released under the MIT license
* http://opensource.org/licenses/MIT
*
*/@font-face{font-family:Icons;font-style:normal;font-variant:normal;font-weight:400;src:url(/learn/dist/icons.a01e3f2d6c83dc3aee17.eot);src:url(/learn/dist/icons.a01e3f2d6c83dc3aee17.eot?#iefix) format("embedded-opentype"),url(/learn/dist/icons.38c6d8bab26db77d8c80.woff2) format("woff2"),url(/learn/dist/icons.425399f81e4ce7cbd967.woff) format("woff"),url(/learn/dist/icons.c656b8caa454ed19b9a2.ttf) format("truetype"),url(/learn/dist/icons.62d9dae4e0040e81c980.svg#icons) format("svg");text-decoration:inherit;text-transform:none}@font-face{font-family:outline-icons;font-style:normal;font-variant:normal;font-weight:400;src:url(/learn/dist/outline-icons.752905fa5edf21fc52a1.eot);src:url(/learn/dist/outline-icons.752905fa5edf21fc52a1.eot?#iefix) format("embedded-opentype"),url(/learn/dist/outline-icons.687a4990ea22bb1a49d4.woff2) format("woff2"),url(/learn/dist/outline-icons.ddae9b1ba9b0b42f5880.woff) format("woff"),url(/learn/dist/outline-icons.5367103510b27b784827.ttf) format("truetype"),url(/learn/dist/outline-icons.9c4845b4b41ef40a22fa.svg#icons) format("svg");text-decoration:inherit;text-transform:none}/*!
 * # Semantic UI 2.5.0 - Checkbox
 * http://github.com/semantic-org/semantic-ui/
 *
 *
 * Released under the MIT license
 * http://opensource.org/licenses/MIT
 *
 */@font-face{font-family:Checkbox;src:url(data:application/x-font-ttf;charset=utf-8;base64,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) format("truetype")}/*!
 * # Semantic UI 2.5.0 - Dropdown
 * http://github.com/semantic-org/semantic-ui/
 *
 *
 * Released under the MIT license
 * http://opensource.org/licenses/MIT
 *
 */@font-face{font-family:Dropdown;font-style:normal;font-weight:400;src:url(data:application/font-woff;charset=utf-8;base64,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) format("woff")}#exampleModal{--useful-facts-bg:#e8f6ff;--key-concepts-bg:#e8f6ff;--example-bg:#f5f7fb}.bg-graph-div-static{background-color:#fff}body[data-theme=dark]{--info-card-bg:#373737;--status-text-color:#1b89d1}body[data-theme=dark] .bg-graph-div-static{background-color:#2f2f2f}body[data-theme=dark] #exampleModal{--useful-facts-bg:#282829;--key-concepts-bg:var(--useful-facts-bg);--example-bg:#1c1c1d}body[data-theme=dark] .current-indicator,body[data-theme=dark] .current-indicator-dropdown,body[data-theme=dark] .text-none{color:#ced4da}body:not([data-theme=dark]){--status-text-color:theme-color("primary-dark");--info-card-bg:#c7d5e7;background-color:#f5f7fb;transition:background-color .25s ease}body:not([data-theme=dark]) .info{color:#146397}body .info{align-items:center;display:flex;flex:1;justify-content:space-between}#useful-facts-section{background-color:var(--useful-facts-bg)}#key-concepts-section{background-color:var(--key-concepts-bg)}#exampleQuestionContent{background-color:var(--example-bg)}.text-none{color:#343a40}.problemList{color:#146397;flex-direction:column}.number .counter{margin-top:-.05em}.dots .fa-circle,.dropdown-item .fa-circle{padding:.125rem}.dots .fa-circle.disabled{color:#b8b8b8}#helpList .collapsed .fa-chevron-right{transform:none}#helpList .fa-chevron-right{color:#2971a1;padding:0 .675rem;transform:rotate(90deg);transition:transform .25s ease}.off{opacity:0;pointer-events:none;position:absolute;visibility:hidden}.counter-container,.navbar-toggler{transition:opacity .2s ease}.navbar-toggler.off{display:none}.navbar-collapse{transition:opacity .2s ease}#hypatia-container{margin-bottom:var(--toolboxDynamicHeight)}#graphDiv{display:inline-block}#graphDiv[focus]{outline:2px solid #85b7d9}.resource-header{color:#2b719f}.currQuestion-content,.keyConcepts-content,.question-content,.recipe-content,.solution-content{padding-left:.6rem}.solution-content{max-width:100%;width:100%}.solution-content mjx-container>svg{max-width:100%}.question-size-50{font-size:50%}.question-size-75{font-size:75%}.question-size-90{font-size:90%}.question-size-100{font-size:100%}.question-size-125{font-size:125%}.question-size-150{font-size:150%}.question-size-200{font-size:200%;font-size:250%}.check-next-submit-btn{transition:background-color border-color .25s ease ease .25s}.info-card{border-color:var(--info-card-bg);width:11.75rem}.bg-info-card{background-color:var(--info-card-bg)}#main-nav{height:4rem}@media only screen and (min-width:1200px){.modal-dialog.limit-width{max-width:1140px!important}}.lms-actionBar{align-items:flex-end;bottom:.5rem;display:flex;height:calc(var(--lmsActionBarHeight) - 1.25rem);left:0;pointer-events:auto;position:fixed;transform:none;z-index:7}@media(min-width:768px){.user-area{--lmsActionBarHeight:9rem}}@media(min-width:900px){.user-area{--lmsActionBarHeight:5rem}}.btn{min-width:auto;pointer-events:auto;position:relative;text-transform:uppercase;transition:opacity .5s ease;width:auto}a.disabled{cursor:auto;opacity:.5;text-decoration:none}.breadcrumb a{max-width:250px}ul.breadcrumb{max-width:calc(100vw - 560px)}ul.breadcrumb.with-edit{max-width:calc(100vw - 650px)}.current-indicator,.current-indicator-dropdown{border-radius:50%;box-shadow:0 0 2px 1px #4daae8;box-sizing:border-box;color:#5d5d5d;font-weight:900;position:relative}.current-indicator-dropdown{height:auto;width:auto}.dropdown-menu{left:auto!important;max-height:80vh;overflow-y:auto;right:0!important}.ignore-pointer{pointer-events:none}body[check-next] #check-next-buttons{bottom:15vh;position:fixed;right:15px}.status-text,.status-title{color:var(--status-text-color)}.status-title{font-size:.8rem}.fix-button{bottom:calc(var(--toolboxDynamicHeight, -2000px)/1.4 + 40px);position:fixed}.btn-small{font-size:.8rem;min-width:-moz-min-content;min-width:min-content}.container,.container-fluid{padding-left:20px!important;padding-right:20px!important}#answer-header{height:0;pointer-events:none;top:calc(1rem + var(--toolbarHeight));z-index:1}.page-header{opacity:.5}#editor-buttons{height:0;position:relative;z-index:1}#submit-button{min-width:6.5rem}body.modal-open[style] nav{padding-right:0!important}.bg-annotate .calculators button{display:none!important}.calculators{bottom:calc(var(--toolboxDynamicHeight, -2000px)/1.4 + 160px);left:40px}@media screen and (min-width:1400px){.calculators{left:calc(50vw - 666px)!important}}.calculators button{border-radius:60%;font-size:24px;height:45px;width:45px}#calculator-button{margin-top:15px}.calculators button i{left:-24px;top:-8px}.editor.error .calculators,.editor.error .fix-button{display:none}.btn-primary.disabled,.btn-primary:disabled{background-color:#7eb1bd!important;border-color:#7eb1bd!important;color:#dadce0!important;opacity:1!important}.btn-success.disabled,.btn-success:disabled{background-color:#7bb577!important;border-color:#7bb577!important;color:#dadce0!important;opacity:1!important}.dropdown-toggle.disabled{opacity:.7!important}#annotate-message{bottom:160px;left:50%;position:fixed;transform:translateX(-50%);z-index:999}@media only screen and (max-width:420px){.fix-button{bottom:60px!important}#calculator-button,#graphing-calculator-button{bottom:170px!important}}