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Most business ventures are innovative variations of an existing idea that has spread across communities, regions, and countries, such as starting a restaurant or opening a retail store. These business ventures are, in some ways, a lower-risk approach but nonetheless are entrepreneurial in some way. For example, ", "term-00002", "W", "2c662fc7-c04e-4a46", "", "Warby Parker", ", a profitable startup founded by four graduate students at Wharton, disrupted a major incumbent (", "term-00003", "L", "3198a841-9066-4e0f", "", "Luxottica", ") by providing a more convenient (online initially), affordable, and stylish product line for a large segment of consumers. In this sense, their innovation is about creating something new, unique, or different from the mainstream. Yet they attracted an existing, and in some ways mature, sector of an established industry. In a different way, ", "term-00004", "M", "6f77e86d-79d9-4d5f", "", "McDonalds", ", which is 90 percent owned by franchisees, introduced an \u201call day breakfast\u201d menu in 2017 that was hugely successful; it also targeted a larger segment (in part younger consumers) and brought back consumers who had chosen other options. In summary, many entrepreneurs start a new venture by solving a problem that is significant, offering some value that other people would appreciate if the product or service were available to them. Other entrepreneurs, in contrast, start a venture by offering a \u201cbetter mousetrap\u201d in terms of a product, service, or both. In any case, it is vital that the entrepreneur understand the market and target segment well, articulate a key unmet need (\u201cpain point\u201d), and develop and deliver a solution that is both viable and feasible. In that aspect, many entrepreneurs mitigate risks before they launch the venture.", "fs-idm391877456", "has-noteref", "381c17c7-6abf-400b", "", "Being aware of your surroundings and the encounters in your life can reveal multiple opportunities for entrepreneurship. In our daily lives, we constantly find areas where improvements could be made. For example, you might ask, \u201cWhat if we didn\u2019t have to commute to work?\u201d \u201cWhat if we didn\u2019t have to own a vehicle but still had access to one?\u201d \u201cWhat if we could relax while driving to work instead of being stressed out by traffic?\u201d These types of questions inspired entrepreneurial ventures such as ride-sharing services like ", "term-00005", "U", "7213f832-f27d-4bf0", "", "Uber", ", the self-driving vehicle industry,", "SUP", "footnote-ref1", "footnote-number", "2b61739a-6b0c-4667", "", "1-3-the-entrepreneurial-mindset#fs-idm397031216", "doc-noteref", "epub:type", "noteref", "footnote-link", "7dc134d3-8b2b-4bf3", "", "21", " and short-term bicycle access in the free bike-sharing program in Pella, Iowa (", "1-3-the-entrepreneurial-mindset#OSX_Eship_01_03_Bicycle", "f6f94df8-f105-4106", "", "Figure 1.10", ").", "footnote-ref2", "3f459044-de37-4ac3", "", "1-3-the-entrepreneurial-mindset#fs-idm398144624", "0f104e07-d27b-4403", "", "22", "os-figure", "OSX_Eship_01_03_Bicycle", "114e7d14-0d3e-40f1", "", "FIGURE", "data-id", "scaled-down", "4c50ae34-c4ce-4903", "", "media", "fs-idm400617904", "data-alt", "Photo of a row of VEORIDE bikes.", "18685bfa-ee66-458f", "", "/apps/image-cdn/v1/f=webp/apps/archive/20230620.181811/resources/565bbc3b0efa98882f1d9cdcd8222082457719e4", "data-media-type", "image/jpeg", "data-width", "1100", "data-height", "733", "320f05a2-2d72-41d9", "", "os-caption-container", "93358d8f-49c5-4bb7", "", "\n ", "os-title-label", "82e0a669-cded-4afe", "", "Figure ", "13c174f5-802c-4af7", "", "1.10", "\n\n\n\n ", "80986a49-a468-477c", "", "os-caption", "b75d7efa-c2fa-4401", "", "A bike-sharing program in Pella, Iowa, allows users to access bikes at a variety of locations. (credit: \u201cCorral of VeoRide Dockless Bike Share\u201d by \u201cpaul.wasneski\u201d/Flickr, Public Domain)", "fs-idm366217712", "41956645-c92c-46a7", "", "These ideas resulted from having an ", "term-00006", "98a60808-8825-45f8", "", "entrepreneurial mindset", ", an awareness and focus on identifying an opportunity through solving a problem, and a willingness to move forward to advance that idea. The entrepreneurial mindset is the lens through which the entrepreneur views the world, where everything is considered in light of the entrepreneurial business. The business is always a consideration when the entrepreneur makes a decision. In most cases, the action that the entrepreneur takes is for the benefit of the business, but sometimes, it helps the entrepreneur get ready to adopt the appropriate mindset. The mindset becomes a way of life for the entrepreneur. Entrepreneurs often are predisposed to action to achieve their goals and objectives. They are forward thinking, always planning ahead, and they are engaged in \u201cwhat if\u201d analyses. They frequently ask themselves, \u201cWhat if we did this?\u201d \u201cWhat if a competitor did that?\u201d\u2014and consider what the business implications would be.", "fs-idm370930656", "4ae98fa9-86fd-4a3e", "", "Most people follow habits and traditions without being aware of their surroundings or noticing the opportunities to become entrepreneurs. Because anyone can change their perspective from following established patterns to noticing the opportunities around them, anyone can become an entrepreneur. There is no restriction on age, gender, race, country of origin, or personal income. To become an entrepreneur, you need to recognize that an opportunity exists and be willing to act on it. Note, however, that the execution of the entrepreneurial mindset varies in different parts of the world. For example, in many Asian cultures, group decision-making is more common and valued as a character trait. In these regions, an entrepreneur would likely ask the advice of family members or other business associates before taking action. In contrast, individualism is highly valued in the United States and so many US entrepreneurs will decide to implement a plan for the business without consulting others.", "fs-idm394096416", "d55f6ee6-c960-4981", "", "62442fcd-ac61-41c5", "", "Entrepreneurial Spirit and Passion", "fs-idm409742656", "8407ac44-a076-4f76", "", "An ", "term-00007", "3ab7161b-663b-472f", "", "entrepreneurial spirit", " allows entrepreneurs to carry a manner of thinking with them each day that allows them to overcome obstacles and to meet challenges with a can-do attitude. What does it mean to have an entrepreneurial spirit? For the purposes of this discussion, it could mean being passionate, purposeful, positive, bold, curious, or persistent.", "fs-idm410061776", "90c42820-00c5-44bc", "", "The founders of ", "term-00008", "4814631f-51f3-419c", "", "Airbnb", " have a passion for supporting individual rights to rent out unused space. Why should the established model of hotels prevail? Why shouldn\u2019t an individual homeowner have the freedom to rent out unused space and leverage that space into an income? Airbnb has succeeded in creating more flexible and affordable options in the space of the rapidly growing \"sharing\" economy. At the same time, some states and municipalities have raised issues about the regulations monitoring ventures like this. While entrepreneurial spirit is partly about fighting for individual rights and freedoms, there should be a balance between economic freedom and consumer protection. The entrepreneurial spirit involves a passion for presenting an idea that is worthwhile and valuable, and a willingness to think beyond established patterns and processes, while still keeping in mind local laws and regulations, in the quest to change those established patterns, or at least to offer alternatives to those established patterns.", "fs-idm372698288", "5a1592af-ad10-430e", "", "Passion is a critical component of the entrepreneurial process. Without it, an entrepreneur can lose the drive to run the business. Passion can keep an entrepreneur going when the outside world sends negative messages or less-than-positive feedback. For example, if you are truly passionate about starting an animal shelter because of your love of animals, you will find a way to make it happen. Your internal drive to help animals in need will spur you on to do whatever it takes to make the shelter become a reality. The same is true of other types of startups and owners with similar passions. However, passion needs to be informed by the entrepreneur\u2019s vision and mission\u2014passion of the sake of passion is not enough. A clear ", "term-00009", "m", "d758ec3e-893d-4121", "", "mission statement", "\u2014which details why the business exists and the entrepreneur\u2019s objectives for achieving that mission\u2014will guide an entrepreneur\u2019s passion and keep the business on track. Passion, vision, and mission can reinforce each other and keep the entrepreneur on the right track with next steps for the business.", "fs-idm399815264", "6abc6676-b538-491c", "", "Some ideas might seem small or insignificant, but in the field of entrepreneurship, it\u2019s important to recognize that for every new startup, someone else may recognize a spin-off idea that expands upon the original idea. The opportunities for identifying new possibilities are endless. Review your work in creating spinoff ideas for Angad Darvani\u2019s projects, or Kevin F. Adler\u2019s Miracle Messages venture. Or consider possible spin-off ideas around the technology used in agriculture. Creating spin-off ideas fits well with our discussion of divergent thinking and brainstorming. Through these processes, we can discover new uses for existing technology, just as ", "term-00010", "R", "22103039-15ac-4504", "", "Ring", " did by using video technology to add security by allowing customers to see who is at the door without opening it.", "fs-idm397778768", "24d76fd0-e66b-4d9f", "", "9d0b3894-7a86-4dc4", "", "An Entrepreneurial Mindset in Your Discipline or Field", "fs-idm405884560", "dfa561e3-bbba-4b17", "", "Within your industry of interest or area of study, what are the challenges that create frustration? How can these be turned into opportunities? Earlier in this chapter, we discussed ", "term-00011", "E", "b3b06dba-8d21-4f37", "", "Evernote", ", a company that focuses on expanding our memories by storing and organizing information. Let\u2019s look at some other examples of entrepreneurial endeavors in specific industries to help you plan your own venture in your own industry.", "fs-idm405618336", "e5dc8090-e3aa-40c5", "", "In the agriculture industry, insects, weeds, weather conditions, and the challenges of harvesting crops are all ripe for entrepreneurial activities. The move toward organic produce has also affected this industry. From an entrepreneurial perspective, what products could you invent to support both organic farming and the problems of insects that damage or destroy crops? The old method was to use chemical sprays to kill the insects, but today, the growing demand for organic foods and increased awareness of the impact of chemical sprays on our environment are changing this scenario. One new idea to solve this problem combines a vacuum cleaner with an agriculture product.", "note", "fs-idm406989376", "link-to-learning ui-has-child-title", "cd1f7dbe-db89-44e8", "", "HEADER", "ba939ded-ef3f-4db5", "", "os-title", "b9c8eec0-8f09-4eb9", "", "9e13d61c-3ea1-46a0", "", "Link to Learning", "6eb124da-627d-4a83", "", "os-note-body", "b1e8fda8-7fd2-4137", "", "fs-idm366731696", "694deea1-d6aa-4985", "", "Watch this ", "https://openstax.org/l/52BugVacuum", "target", "_blank", "noopener nofollow", "fcde1d7c-bfbe-4463", "", "video on the creation of a crop vacuum that sucks up insects and bugs", " to learn more.", "fs-idm398572464", "6ea406b9-6145-4708", "", "A bug vacuum is an example of how using divergent thinking contributed to the solution of removing bugs from crops without using chemicals. In the group activity of creating divergent ideas, this idea may not have been received well. However, in the incubation stage, the idea must have come forward as a viable solution. Entrepreneurs frequently face the challenge of pressure to conform to established habits and patterns within industries.", "fs-idm408142080", "f8b45d02-0fc3-4491", "", "Often, the ", "term-00012", "de0e93b3-5d5d-44bc", "", " includes futuristic ideas that shake up the normal, conventional processes that are grounded in experience over time. Tried-and-tested processes and products that have a proven history of success can be a formidable obstacle to new ideas. A new idea may even appear as impossible or outlandish, perhaps even an embarrassment to the steady and predictable practices established within an industry. This can create a dilemma: Do we try something new and unproven that lacks documented research? Sometimes, we must disregard our past successes and research to be open to new possibilities for success and failure. An entrepreneurial mindset includes creativity, problem-solving skills, and a propensity to innovation.", "footnote-ref3", "d5c518d4-c69f-4021", "", "1-3-the-entrepreneurial-mindset#fs-idm390663408", "72108c85-3e91-40d5", "", "23", " Open-mindedness is one characteristic that supports creativity, problem solving, and innovation. Taking the time to explore new ideas, dream, reflect, and view situations from a new perspective contribute to the entrepreneurial mindset. Some innovations can lead to disruptions within the industry, or even create a new industry.", "fs-idm397394224", "ae4edd61-5b80-41df", "", "The innovator\u2019s dilemma was presented by Clayton ", "term-00013", "C", "ef8ed360-c6af-4e04", "", "Christensen", " to explain ", "term-00014", "00c8e6f8-d118-4d38", "", "disruptive technology", ", which are technologies that, once introduced, displace established patterns, processes, and systems previously accepted as normal or accepted. One example of a disruptive technology is ", "term-00015", "b965d3f9-f5b9-4473", "", ", a company that threatens the established hotel industry by connecting personal resources to people who desire those resources. If you have a spare bedroom that you aren\u2019t using, why not sell that space to someone who wants and needs the space?", "fs-idm391816336", "2884ee78-fcac-4b6a", "", "Airbnb has become a significant threat to the established hotel industry\u2019s business model of building large hotels and renting rooms within those hotels to their customers. Airbnb has reconfigured that model, and since its 2008 launch, 150 million travelers have taken advantage of 3 million Airbnb listings in more than 191 countries. Airbnb has raised more than $3 billion (plus a $1 billion credit line) and is considering selling stocks to support significant expansion. The value of Airbnb is approximately $30 billion. Compare this market value to ", "term-00016", "H", "8f34137b-40b6-417e", "", "Hilton", "\u2019s market capitalization of $19 billion and ", "term-00017", "d74ef923-0c56-427a", "", "Marriott", "\u2019s of $35 billion. If you were the CEO of Hilton or Marriott, would you be worried? The hotel industry recognized Airbnb as a threat, and in 2016, began a campaign to create legislation to rein in Airbnb\u2019s growth and popularity. From the hotel industry\u2019s perspective, Airbnb is not playing by the same rules. This is the definition of disruptive technology, the focus on creating a new idea or process that negates or challenges established process or products.", "footnote-ref4", "8469fc00-c9ad-41a9", "", "1-3-the-entrepreneurial-mindset#fs-idm372847712", "91dc4fed-17a7-46c2", "", "24", "fs-idm387432736", "d3612358-ba96-479a", "", "Sometimes disruptive technologies result from ", "EM", "data-effect", "italics", "05b85ff2-faac-4b79", "", "not", " listening to customers. Customers don\u2019t always know what they want. Customer groups might need to be redefined by the entrepreneurial team on the basis of better models, knowing when to invest in developing lower-performance products that promise lower margins while still satisfying the need, and knowing when to pursue small markets at the expense of larger or established markets. Basically, disruptive technologies occur through identifying new and valuable processes and products.", "fs-idm409471904", "0f6e9da4-59fc-45b0", "", "The founders of Airbnb recognized that some people have unused resources, bedrooms, that other people need. We can apply this idea to other unused resources such as vehicles and motor homes. We see this model reproduced in short-term car rental and bike-sharing programs.", "\n\n\n\n\n\n\n\n\n\n\n \n \n ", "\n \n", "footnote-refs", "84bc15dc-2e8c-4565", "", "footnote-refs-title", "72ba7770-e56a-466e", "", "Footnotes", "data-list-type", "bulleted", "data-bullet-style", "90b45da9-075c-4c97", "", "fs-idm397031216", "footnote-ref", "c1f920e5-caae-43eb", "", "doc-backlink", "#footnote-ref1", "0de8f3f6-4a94-4a18", "", "footnote-ref-content", "bc6ae780-3b81-4831", "", "Matthew DeBord. \u201cWaymo Could Be Worth as Much as $75 Billion\u2014Here\u2019s a Brief History of the Google Car Project.\u201d ", "db8934bd-d0e8-4a00", "", "Business Insider", ". September 9, 2018. https://www.businessinsider.com/google-car-project-history-2018-8", "fs-idm398144624", "11e024dd-0e6f-437f", "", "#footnote-ref2", "39d38839-45df-4fa8", "", "24376adf-3144-452f", "", "Ethan Goetz. \u201cBike Share Program Launched Monday.\u201d ", "7741d374-a62e-4646", "", "The Chronicle", ". July 2, 2018. https://www.pellachronicle.com/gallery/bike-share-program-launched-monday/article_950cebac-7e49-11e8-97a0-8fd615410188.html", "fs-idm390663408", "923caee7-5a1f-4020", "", "#footnote-ref3", "477cc9d3-0214-4f63", "", "a445ca18-9c97-4bfb", "", "Emma Fleck. \u201cNeeded: Entrepreneurial Mindset.\u201d\u00a0", "23544795-694f-40c7", "", "Central Penn Business Journal", ",\u00a0", "e3427e65-721a-4dff", "", "34", "(12), 10. http://pageturnpro2.com.s3-website-us-east-1.amazonaws.com/Publications/201803/15/83956/PDF/131668002208352000_CPBJ033018WEB.pdf", "fs-idm372847712", "163e23d4-9303-4a67", "", "#footnote-ref4", "7c6dcfdc-e6d1-4283", "", "4c86c282-3a34-4bda", "", "Katie Benner. \u201cInside the Hotel Industry\u2019s Plan to Combat Airbnb.\u201d ", "d08fdc59-1394-44c9", "", "New York Times", ". April 16, 2017. https://www.nytimes.com/2017/04/16/technology/inside-the-hotel-industrys-plan-to-combat-airbnb.html", "prev-next", "PrevNextBar__BarWrapper-sc-13m2i12-3 fEZPiF", "e59c39bf-0710-469c", "", "Previous Page", "prev", "PrevNextBar__HidingContentLink-sc-13m2i12-2 eMxlJc", "b0a99af1-643f-493a", "", "StyledIconBase-sc-bdy9j4 jbPeIR PrevNextBar__LeftArrow-sc-13m2i12-0 bBoLai", "77d184d8-14f6-4a9e", "", "d5f47de4-70a7-4c6e", "", "Previous", "Next Page", "next", "PrevNextBar__HidingContentLink-sc-13m2i12-2 TdchT", "6d58f509-9852-4b5f", "", "Next", "StyledIconBase-sc-bdy9j4 jbPeIR PrevNextBar__RightArrow-sc-13m2i12-1 hAIJlW", "2feff91f-dc20-4e06", "", "M10.707 17.707L16.414 12l-5.707-5.707-1.414 1.414L13.586 12l-4.293 4.293z", "7aece772-8c44-478f", "", "BuyBook__BuyBookAlignment-s2exzh-0 dsrSOQ", "ca24d5e8-6bbf-411b", "", "Buy book", "noopener", "https://amzn.to/3gcUnLF", "buy-book", "BuyBook__BuyBookLink-s2exzh-1 bdmjCi", "a5ab2067-6a5f-48b2", "", "Order a print copy", "BuyBook__BuyPrintDisclosure-s2exzh-2 dPPdHn", "d7b1f4bc-bea3-4fc6", "", "As an Amazon Associate we earn from qualifying purchases.", "attribution-details", "attribution", "Details-xi326o-3 Attribution__AttributionDetails-sc-11isnv6-4 ecFdAU", "917b47ec-7cc4-4f00", "", "Details__Summary-xi326o-2 goqLfs Attribution__AttributionSummary-sc-11isnv6-2 ccMXsL", "Citation/Attribution", "fa26bdee-8060-4e79", "", "StyledIconBase-sc-bdy9j4 cCvWXa Details__ExpandIcon-xi326o-0 cVuUUi Attribution__SummaryClosedIcon-sc-11isnv6-0 gSPJtD", "af0538a9-40f9-4c54", "", "f5444a67-7b8e-4ebe", "", "StyledIconBase-sc-bdy9j4 cCvWXa Details__CollapseIcon-xi326o-1 jsdrhW Attribution__SummaryOpenIcon-sc-11isnv6-1 kRXAve", "7530ef49-24fe-4d40", "", "37ba7724-e2b3-41f8", "", "77ca07e1-2fd2-4949", "", "Attribution__Content-sc-11isnv6-3 SNfN", "45d5c412-72be-4ce1", "", "f60296b4-0b39-466c", "", "\n Want to cite, share, or modify this book? This book uses the\n ", "http://creativecommons.org/licenses/by/4.0/", "35f3b9f1-112a-41e1", "", "\n Creative Commons Attribution License \n ", " and you must attribute OpenStax.\n", "STRONG", "9c4a843f-d01c-4a3c", "", "Attribution information", "7fa552fb-24f7-4c0d", "", "4060c20e-3411-401d", "", "\n If you are redistributing all or part of this book in a print format,\n then you must include on every physical page the following attribution:\n ", "BLOCKQUOTE", "b82fd3e0-afd2-4181", "", "\n Access for free at https://openstax.org/books/entrepreneurship/pages/1-introduction\n ", "72ab5666-df55-4519", "", "\n If you are redistributing all or part of this book in a digital format,\n then you must include on every digital page view the following attribution:\n ", "ab530d25-2e34-48e8", "", "\n Access for free at ", "https://openstax.org/books/entrepreneurship/pages/1-introduction", "b024528b-4048-483b", "", "229d45c1-93b8-46ac", "", "Citation information", "23a2b638-f769-4bbe", "", "71491fd3-f917-4915", "", "\n Use the information below to generate a citation. We recommend using a\n citation tool such as\n ", "https://www.lib.ncsu.edu/citationbuilder/#/default/default", "91e8804e-db73-4f25", "", "this one", ".\n ", "29e092e8-c7c2-4a56", "", "\n ", "ec9e9afe-14fa-40ab", "", "\n Authors: Michael Laverty, Chris Littel\n ", "fad6b60c-54cc-4dec", "", "\n Publisher/website: OpenStax\n ", "19bdfe61-8ff2-4871", "", "\n Book title: Entrepreneurship\n ", "5f8cd335-8862-433b", "", "\n Publication date: Jan 16, 2020\n ", "c79fd6f6-6cd4-465d", "", "\n Location: Houston, Texas\n ", "1675b769-fa36-4775", "", "\n Book URL: ", "b40c8733-2e12-438b", "", "8d0d9aff-4048-4bf0", "", "\n Section URL: ", "f1352828-4643-40a7", "", "3ee88bbd-8552-4092", "", "\n \u00a9 Apr 5, 2023 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . ", "2d1e3622-b37c-4100", "", "The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo\n are not subject to the Creative Commons license and may not be reproduced without the prior and express written\n consent of Rice University.", "FOOTER", "footer", "styled__FooterWrapper-y5hgq4-4 hkILNp", "c292006f-d0de-4c8b", "", "styled__InnerFooter-y5hgq4-5 cVQewI", "3d510bbe-2ea7-4e6c", "", "styled__FooterTop-y5hgq4-6 emNNEw", "49cb1e36-8c08-4587", "", "styled__TopBoxed-y5hgq4-7 jVeZhX", "9839fc27-da0d-4520", "", "heading", "aria-level", "styled__Heading-y5hgq4-8 kYpDrD", "ce38204c-07ae-4fb3", "", "Our mission is to improve educational access and learning for everyone.", "styled__Mission-y5hgq4-9 hHuCFj", "892dbaf1-521e-41d8", "", "\n OpenStax is part of Rice University, which is a 501(c)(3) nonprofit.\n ", "/give", "f52130c4-67e5-468f", "", "Give today", " and help us reach more students.\n", "styled__Column1-y5hgq4-12 bBGxDm", "09f39907-3471-4d94", "", "styled__ColumnHeading-y5hgq4-15 iXuffB", "951f7647-8274-4521", "", "Help", "/contact", "_self", "styled__FooterLink-y5hgq4-10 ZbGzz", "7201941d-3cfb-4ced", "", "Contact Us", "https://help.openstax.org/s/", "3482509a-c163-4ed6", "", "Support Center", "/faq", "85cc2518-27e3-4c35", "", "FAQ", "styled__Column2-y5hgq4-13 gOHYYF", "e64be714-5906-4511", "", "af3567bf-8577-48de", "", "OpenStax", "/press", "fd63e77b-e363-4cca", "", "Press", "http://www2.openstax.org/l/218812/2016-10-04/lvk", "7f1e80b1-cb2d-4b62", "", "Newsletter", "/careers", "189aff8d-1a67-41ff", "", "Careers", "styled__Column3-y5hgq4-14 tBdZW", "b57ee6de-be76-4484", "", "f29e203a-fa2c-4887", "", "Policies", "/accessibility-statement", "ed961090-3258-43f2", "", "Accessibility Statement", "/tos", "b67fadbe-df26-478a", "", "Terms of Use", "/license", "bf9cf2fe-bda0-4622", "", "Licensing", "/privacy-policy", "d54adb74-b66f-4280", "", "Privacy Policy", "styled__FooterBottom-y5hgq4-16 DOTyv", "f213c709-a1d0-4733", "", "styled__BottomBoxed-y5hgq4-17 hViXPP", "d98f5a4b-7d5d-4cac", "", "styled__Copyrights-y5hgq4-18 bCRniQ", "49d456ce-8143-4168", "", "data-html", "copyright", "cedbef1d-8120-42c9", "", "\u00a9 1999-2023, Rice University. Except where otherwise noted, textbooks on this site\n are licensed under a\n ", "https://creativecommons.org/licenses/by/4.0/", "noreferrer", "ab173081-138b-427b", "", "Creative Commons Attribution 4.0 International License", ".\n ", "apStatement", "1b7a623e-c29b-4b28", "", "\n Advanced Placement", "8eddc67e-ce69-4288", "", "\u00ae", " and AP", "8225f250-56a1-4794", "", " are trademarks registered and/or owned by the College Board,\n which is not affiliated with, and does not endorse, this site.\n ", "directory", "styled__Social-y5hgq4-19 kjjZEm", "2d749412-418a-46b5", "", "facebook", "https://www.facebook.com/openstax", "styled__SocialIcon-y5hgq4-20 hUKzFZ", "3ae89106-a056-422c", "", "StyledIconBase-sc-bdy9j4 cCvWXa styled__FBIcon-y5hgq4-0 lbjeVE", "5b32f1e4-b995-4430", "", "M279.14 288l14.22-92.66h-88.91v-60.13c0-25.35 12.42-50.06 52.24-50.06h40.42V6.26S260.43 0 225.36 0c-73.22 0-121.08 44.38-121.08 124.72v70.62H22.89V288h81.39v224h100.17V288z", "90414652-abe5-4fdd", "", "twitter", 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