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fdf7e1948a5932e4ae3e71b76fb21225
X:osx:college-algebra-corequisite-support-2e:m49432
openstax-college-algebra-corequisite-support-2e
passage
Given a rational expression where the factors of the denominator are distinct, irreducible quadratic factors, decompose it. - Use variables such as A,B, or C for the constant numerators over linear factors, and linear expressions such as A1x+B1,A2x+B2, etc., for the numerators of each quadratic factor in the denominato...
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2026-08-02
null
CC-BY-4.0
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[ "Systems of Equations and Inequalities" ]
185
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0
0
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X:osx:college-algebra-corequisite-support-2e:m49438
openstax-college-algebra-corequisite-support-2e
passage
See b Note that the vertices, co-vertices, and foci are related by the equation c2=a2−b2. When we are given the coordinates of the foci and vertices of an ellipse, we can use this relationship to find the equation of the ellipse in standard form. Given the vertices and foci of an ellipse centered at the origin, write i...
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2026-08-02
null
CC-BY-4.0
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[ "Analytic Geometry" ]
227
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0
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bbd3d284267ba8bec025d6977c39e1e8
X:osx:college-algebra-corequisite-support-2e:m49440
openstax-college-algebra-corequisite-support-2e
passage
The Parabola Learning Objectives - Graph vertical parabolas. (IA 11.2.1) - Graph horizontal parabolas. (IA 11.2.2) Objective 1: Graph vertical parabolas. (IA 11.2.1) A parabola is all points in a plane that are the same distance from a fixed point and a fixed line. The fixed point is called the focus, and the fixed lin...
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2026-08-02
null
CC-BY-4.0
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[ "Analytic Geometry" ]
246
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X:osx:college-algebra-corequisite-support-2e:m49441
openstax-college-algebra-corequisite-support-2e
passage
Given an equation for a conic in the x′y′ system, rewrite the equation without the x′y′ term in terms of x′ and y′, where the x′ and y′ axes are rotations of the standard axes by θ degrees. - Find cot(2θ). - Find sinθ and cosθ. - Substitute sinθ and cosθ into x=x′cosθ−y′sinθ and y=x′sinθ+y′cosθ. - Substitute the expres...
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2026-08-02
null
CC-BY-4.0
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[ "Analytic Geometry" ]
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X:osx:college-algebra-corequisite-support-2e:m49443
openstax-college-algebra-corequisite-support-2e
passage
Introduction to Sequences, Probability and Counting Theory A lottery winner has some big decisions to make regarding what to do with the winnings. Buy a new home? A luxury convertible? A cruise around the world? The likelihood of winning the lottery is slim, but we all love to fantasize about what we could buy with the...
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[ "Sequences, Probability, and Counting Theory" ]
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e5038b41420e47fe98c22571fe0b7bfa
X:osx:entrepreneurship:m71115
openstax-entrepreneurship
passage
Notice that in this second article, the author focuses on sales, operations, business development, and entrepreneurial experience as the most significant areas that need expertise for startups. Next, describe the areas that you would want help from a mentor for learning and developing your business idea. Then, list a f...
c1fa2c872ba07dc864c3aeb5a510b08b4f657288
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2026-08-02
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[ "The Entrepreneurial Perspective" ]
237
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X:osx:entrepreneurship:m71115
openstax-entrepreneurship
passage
On the other hand, the goal should not be so easy that it can be accomplished quickly or with little effort. - Relevant: The goal should be well suited for what you want to accomplish; this means that the goal should be relevant to the outcome needed. - Timely: Each goal needs to have a defined deadline, the time when ...
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2026-08-02
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[ "The Entrepreneurial Perspective" ]
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X:osx:entrepreneurship:m71115
openstax-entrepreneurship
passage
Likewise, the opening of a new location requires more time-bound details, such as leasing or purchasing the location, and determining the business model for this location. Finally, hiring additional employees should have a time component as well, such as a timeline for recruiting, interviewing, selection, hiring, and t...
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[ "The Entrepreneurial Perspective" ]
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X:osx:entrepreneurship:m71172
openstax-entrepreneurship
passage
And of course there are the personal stressors of managing a healthy work/life balance and meeting the demands of the venture. In 2011, Jessica Thompson, owner of Johnson Security in New York City, felt the strains of growth. She had expanded from sixty to seventy employees and expected to hire ten to twenty more that ...
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2026-08-02
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[ "Launch for Growth to Success" ]
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X:osx:entrepreneurship:m80316
openstax-entrepreneurship
passage
In the healthcare field, recent hacks of patient health data, some of which are handled by small businesses such as a solo practice physician’s office, demonstrate the challenges of data protection. It is a significant challenge for companies with relatively small budgets to protect data. Technology security adds large...
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2026-08-02
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[ "Business Structure Options: Legal, Tax, and Risk Issues" ]
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X:osx:entrepreneurship:m71190
openstax-entrepreneurship
passage
Due to liability risks, business owners and investors are always looking for ways to limit their personal liability. Incorporation is a standard risk protection strategy for this potential problem, as are the use of other types of limited liability structures such as LLCs. This is one of the main advantages of properly...
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[ "Business Structure Options: Legal, Tax, and Risk Issues" ]
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X:osx:entrepreneurship:m71190
openstax-entrepreneurship
passage
LLCs and corporations do protect their owners, shareholders, and members from a number of different tort claims, such as personal injury lawsuits and claims made directly against the organization. Financial Risk and Protection An entrepreneur needs money to launch a business, whether that comes in the form of loans fro...
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2026-08-02
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[ "Business Structure Options: Legal, Tax, and Risk Issues" ]
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X:osx:entrepreneurship:m71192
openstax-entrepreneurship
passage
Saving for major expenses like equipment can also help avoid paying fees and loans, but it may tie up the money in assets and will prevent you from covering payroll or other operational costs. Having cash reserves on hand can ensure that your basic business needs are met. The positive aspect of using your own savings i...
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2026-08-02
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CC-BY-4.0
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[ "Fundamentals of Resource Planning" ]
226
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34b06a2a77f91c1a14599ff1ac8749fb
X:osx:entrepreneurship:m71192
openstax-entrepreneurship
passage
In 2012, Congress passed the JOBS Act to allow startups to raise money from people who were not professional investors. Crowdfunding was born from the ability to raise money without having to create an IPO. Visit the Financial Industry Regulatory Authority site explaining the details of crowdfunding and the JOBS Act to...
c1fa2c872ba07dc864c3aeb5a510b08b4f657288
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2026-08-02
null
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[ "Fundamentals of Resource Planning" ]
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X:osx:entrepreneurship:m71200
openstax-entrepreneurship
passage
The types of assistance that can be provided through networking include: - advice or information - access to other people’s networks - access to financial resources - business services such as legal, accounting, or administrative support - physical resources such as land, buildings, or equipment. Other free sources of ...
c1fa2c872ba07dc864c3aeb5a510b08b4f657288
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2026-08-02
null
CC-BY-4.0
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[ "Next Steps" ]
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X:osx:entrepreneurship:m71200
openstax-entrepreneurship
passage
The process continues until there is agreement on a final filtered, or narrowed, list or set of options. At this point, the participants vote or rank the remaining set of options with the goal of accepting one option. Although these techniques and tools take time, the process of thinking through each decision and possi...
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2026-08-02
null
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[ "Next Steps" ]
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X:osx:physics:m54342
openstax-physics
passage
When scientists are looking for an approach to developing a new theory, they usually begin with the simplest and most symmetrical explanations. An example of such symmetry is the fact that electrons and protons have equal and opposite charges. You can see the symmetry in the four statements, given above, that describe ...
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2026-08-02
null
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[ "Light" ]
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X:osx:physics:m54437
openstax-physics
passage
Most often you will see current on the order of milliamperes (mA). Teacher Support Point out that the electric field is the same in both cases, and that the current is in the direction of the electric field. Make sure that students understand that current is defined as the direction in which positive charge would flow,...
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https://github.com/openstax/osbooks-physics/blob/dfdfd7a5356ecdd42e504de3df50d9153e33ea49/modules/m54437/index.cnxml
2026-08-02
null
CC-BY-4.0
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[ "Electrical Circuits" ]
241
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X:osx:physics:m54437
openstax-physics
passage
History credits American politician and scientist Benjamin Franklin with describing current as the direction that positive charges flow through a wire. He named the type of charge associated with electrons negative long before they were known to carry current in so many situations. As electrons move through a metal wir...
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2026-08-02
null
CC-BY-4.0
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[ "Electrical Circuits" ]
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ec791f87134451eb9fe8a7b10d710b5f
X:osx:college-physics-ap-courses-2e:m42102
openstax-college-physics-ap-courses-2e
passage
The acceleration due to gravity is so important that its magnitude is given its own symbol, g. It is constant at any given location on Earth and has the average value Although g varies from 9.78m/s2 to 9.83m/s2, depending on latitude, altitude, underlying geological formations, and local topography, the average value o...
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https://github.com/openstax/osbooks-college-physics-bundle/blob/f98d7a792138a6133fe7267d17e70aa04e9ccbed/modules/m42102/index.cnxml
2026-08-02
null
CC-BY-4.0
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[ "Kinematics" ]
239
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a0cb68b9b997685d842fcd6ecbc8b17e
X:osx:college-physics-ap-courses-2e:m42132
openstax-college-physics-ap-courses-2e
passage
Always analyze the direction in which an object accelerates so that you can determine whether Fnet=ma or Fnet=0 . - The normal force on an object is not always equal in magnitude to the weight of the object. If an object is accelerating, the normal force will be less than or greater than the weight of the object. Also,...
f98d7a792138a6133fe7267d17e70aa04e9ccbed
https://github.com/openstax/osbooks-college-physics-bundle/blob/f98d7a792138a6133fe7267d17e70aa04e9ccbed/modules/m42132/index.cnxml
2026-08-02
null
CC-BY-4.0
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[ "Dynamics: Force and Newton's Laws of Motion" ]
157
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X:osx:college-physics-ap-courses-2e:m55108
openstax-college-physics-ap-courses-2e
passage
Connection for AP® courses In this chapter, you will learn about the concept of momentum and the relationship between momentum and force (both vector quantities) applied over a time interval. Have you ever considered why a glass dropped on a tile floor will often break, but a glass dropped on carpet will often remain i...
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2026-08-02
null
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[ "Linear Momentum and Collisions" ]
237
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X:osx:college-physics-ap-courses-2e:m42165
openstax-college-physics-ap-courses-2e
passage
This assumption also implies that, to a good approximation, momentum is conserved for the two-ball system in billiards and pool. The problems below explore these and other characteristics of two-dimensional collisions. Connections to Nuclear and Particle Physics Two-dimensional collision experiments have revealed much ...
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https://github.com/openstax/osbooks-college-physics-bundle/blob/f98d7a792138a6133fe7267d17e70aa04e9ccbed/modules/m42165/index.cnxml
2026-08-02
null
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[ "Linear Momentum and Collisions" ]
144
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0
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X:osx:college-physics-ap-courses-2e:m42223
openstax-college-physics-ap-courses-2e
passage
As noted in Temperature, Kinetic Theory, and the Gas Laws, heat is often confused with temperature. For example, we may say the heat was unbearable, when we actually mean that the temperature was high. Heat is a form of energy, whereas temperature is not. The misconception arises because we are sensitive to the flow of...
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https://github.com/openstax/osbooks-college-physics-bundle/blob/f98d7a792138a6133fe7267d17e70aa04e9ccbed/modules/m42223/index.cnxml
2026-08-02
null
CC-BY-4.0
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[ "Heat and Heat Transfer Methods" ]
241
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X:osx:college-physics-ap-courses-2e:m42246
openstax-college-physics-ap-courses-2e
passage
Solution b Identify the known: - The system involves elastic potential energy as the spring compresses and expands, friction that is related to the work done, and the kinetic energy as the body speeds up and slows down. - Energy is not conserved as the mass oscillates because friction is a non-conservative force. - The...
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2026-08-02
null
CC-BY-4.0
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[ "Oscillatory Motion and Waves" ]
225
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X:osx:college-physics-ap-courses-2e:m42255
openstax-college-physics-ap-courses-2e
passage
A vibrating string produces a sound wave as illustrated in , , and . As the string oscillates back and forth, it transfers energy to the air, mostly as thermal energy created by turbulence. But a small part of the string’s energy goes into compressing and expanding the surrounding air, creating slightly higher and lowe...
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2026-08-02
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[ "Physics of Hearing" ]
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X:osx:college-physics-ap-courses-2e:m42444
openstax-college-physics-ap-courses-2e
passage
Susan Solomon and her colleagues at MIT have uncovered the substantial impact of CFC “banks,” in certain regions, where outdated and deteriorating equipment (such as air conditioners) or materials can release enough CFCs to be detectable in the atmosphere and deplete the ozone layer. (See . Benefits of UV Light Besides...
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2026-08-02
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[ "Electromagnetic Waves" ]
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openstax-college-physics-ap-courses-2e
passage
The Hubble Space Telescope (launched in 1990) gathers ultraviolet radiation as well as visible light. In the X-ray region, there is the Chandra X-ray Observatory (launched in 1999), and in the γ-ray region, there is the new Fermi Gamma-ray Space Telescope (launched in 2008—taking the place of the Compton Gamma Ray Obse...
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2026-08-02
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[ "Electromagnetic Waves" ]
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openstax-college-physics-ap-courses-2e
passage
You will also learn how to use simple geometry to predict how light will move when crossing from one medium to another, or when passing through a lens, or when reflecting off a curved surface (Enduring Understanding 6.E, Essential Knowledge 6.E.1). With this knowledge, you will be able to predict what kind of image wil...
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2026-08-02
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[ "Geometric Optics" ]
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X:osx:college-physics-ap-courses-2e:m55362
openstax-college-physics-ap-courses-2e
passage
Another aspect of light waves that you will learn about in this chapter is polarization, a phenomenon in which light waves all vibrate in a single plane. The explanation for this phenomenon is based on the fact that light is a traveling electromagnetic wave (Enduring Understanding 6.A) that propagates via transverse os...
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2026-08-02
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[ "Wave Optics" ]
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X:osx:college-physics-ap-courses-2e:m42535
openstax-college-physics-ap-courses-2e
passage
Length Contraction To develop an equation relating distances measured by different observers, we note that the velocity relative to the Earth-bound observer in our muon example is given by The time relative to the Earth-bound observer is Δt, since the object being timed is moving relative to this observer. The velocity...
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2026-08-02
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[ "Special Relativity" ]
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X:osx:college-physics-ap-courses-2e:m42627
openstax-college-physics-ap-courses-2e
passage
Click to view content. Section Summary - Radiation detectors are based directly or indirectly upon the ionization created by radiation, as are the effects of radiation on living and inert materials. Conceptual Questions Problems & Exercises
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[ "Radioactivity and Nuclear Physics" ]
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openstax-college-physics-ap-courses-2e
definition
Geiger tube: a very common radiation detector that usually gives an audio output photomultiplier: a device that converts light into electrical signals radiation detector: a device that is used to detect and track the radiation from a radioactive reaction scintillators: a radiation detection method that records light pr...
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2026-08-02
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[ "Radioactivity and Nuclear Physics", "Geiger tube", "photomultiplier", "radiation detector", "scintillators", "solid-state radiation detectors" ]
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X:osx:life-liberty-and-pursuit-happiness:m78838
openstax-life-liberty-and-pursuit-happiness
passage
Give students one to two minutes to look without talking, asking them to carefully observe and make note of all the details that strike them. If they struggle, show the detail from the fresco’s focal point of Washington with two women. - Ask students to share what they see (e.g., angels, thirteen women, Washington in t...
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[ "1789–1800" ]
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X:osx:life-liberty-and-pursuit-happiness:m80579
openstax-life-liberty-and-pursuit-happiness
passage
Despite southerners’ insistence that state’s rights included the right to secede or withdraw from the Union, Lincoln and the majority of northerners saw secession as treason, an act of rebellion. Under the Constitution, the president had the authority to put down such a rebellion. Desperate attempts at compromise gave ...
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[ "1844–1860" ]
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X:osx:life-liberty-and-pursuit-happiness:m80579
openstax-life-liberty-and-pursuit-happiness
passage
The Election of 1860 Reconsidered. Kent, OH: Kent State University Press, 2013. Green, Michael S. Lincoln and the Election of 1860. Carbondale, IL: Southern Illinois University Press, 2011. Holt, Michael F. The Election of 1860: “A Campaign Fraught With Consequences. Lawrence, KS: University Press of Kansas, 2017.
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[ "1844–1860" ]
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X:osx:life-liberty-and-pursuit-happiness:m80592
openstax-life-liberty-and-pursuit-happiness
passage
Having arrived in California not long after the start of the Gold Rush, Lecouvreur headed to the countryside and took up a career as a gold miner before he ultimately found success as a county surveyor in Los Angeles. All the while, he sent detailed letters to his parents, in which he reflected on his nearly year-long ...
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[ "1844–1860" ]
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X:osx:life-liberty-and-pursuit-happiness:m84519
openstax-life-liberty-and-pursuit-happiness
passage
It was “one hell of a gamble,” as Kennedy observed during the crisis that October. The Soviet Politburo appears to have justified its decision by reasoning that U.S. nuclear missiles in Turkey, which bordered the Soviet Union, were no different than Soviet missiles so close to the United States in Cuba. However, the U....
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X:osx:life-liberty-and-pursuit-happiness:m83598
openstax-life-liberty-and-pursuit-happiness
passage
Before Stonewall, LGBTQ people lacked political clout and had no recourse even if their bars were attacked, so the police often did not even need to justify their raids. By standing up to the police at the Stonewall Inn, LGBTQ people began an organized movement to fight discrimination. Consequently, the Stonewall Upris...
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openstax-life-liberty-and-pursuit-happiness
passage
LGBTQ people also opened bookstores, cafes, libraries, and other community centers throughout the United States. Yet despite these revolutionary changes, violence stalked the gay liberation movement during the 1970s. On June 24, 1973, members of the MCC gathered in the Upstairs Lounge, a bar they had converted into a c...
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X:osx:life-liberty-and-pursuit-happiness:m84580
openstax-life-liberty-and-pursuit-happiness
passage
President Clinton, whose focus was on domestic issues, wanted to make sure the country did not find itself in a similar position again. The job of formulating a new strategy for American interventions and participation in U.N. peacekeeping efforts went to Richard Clarke of the National Security Council. The result of C...
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X:osx:life-liberty-and-pursuit-happiness:m84586
openstax-life-liberty-and-pursuit-happiness
passage
Alexander, head of the NSA at the time, said surveillance programs since 9/11 had enabled the government to prevent more than 50 terrorist attacks, including one against the New York City subway system. In cases where law enforcement failed to thwart an attack, it became clear that the terrorists were known to authorit...
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openstax-life-liberty-and-pursuit-happiness
passage
Those wrongly accused provide a warning for this unjustified government invasion of privacy. In the wake of a terrorist bombing in Madrid, Spain, fingerprints obtained by Spanish investigators were shared with the FBI, which ran them through their database. American Brandon Mayfield’s was one of the 20 possible matches...
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openstax-life-liberty-and-pursuit-happiness
passage
“The Terrifying Surveillance Case of Brandon Mayfield. Al Jazeera America. February 8, 2014. http://america.aljazeera.com/opinions/2014/2/the-terrifying-surveillancecaseofbrandonmayfield.html Osborn v. United States, 385 US 323 (1966). https://supreme.justia.com/cases/federal/us/385/323/ “Public Law 107–56—OCT. 26, 200...
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X:osx:chemistry-atoms-first-2e:m68733
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passage
For example, if we improve our measurement of an electron’s position so that the uncertainty in the position (Δx) has a value of, say, 1 pm (10–12 m, about 1% of the diameter of a hydrogen atom), then our determination of its momentum must have an uncertainty with a value of at least The value of ħ is not large, so the...
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[ "Electronic Structure and Periodic Properties of Elements" ]
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A transition to a lower energy level involves a release of energy, and the energy change is negative. This process is accompanied by emission of a photon by the atom. The following equation summarizes these relationships and is based on the hydrogen atom: The values nf and ni are the final and initial energy states of ...
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openstax-chemistry-atoms-first-2e
passage
Check Your Learning If a shell contains a maximum of 32 electrons, what is the principal quantum number, n? Answer: n = 4 Working with Quantum Numbers Complete the following table for atomic orbitals: Solution The table can be completed using the following rules: - The orbital designation is nl, where l = 0, 1, 2, 3, 4...
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openstax-chemistry-atoms-first-2e
definition
secondary (angular momentum) quantum number (l): quantum number distinguishing the different shapes of orbitals; it is also a measure of the orbital angular momentum atomic orbital: mathematical function that describes the behavior of an electron in an atom (also called the wavefunction) d orbital: region of space with...
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[ "Electronic Structure and Periodic Properties of Elements", "secondary (angular momentum) quantum number (l)", "atomic orbital", "d orbital", "degenerate orbitals", "electron density", "f orbital", "Heisenberg uncertainty principle", "magnetic quantum number (ml)" ]
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X:osx:chemistry-atoms-first-2e:m71828
openstax-chemistry-atoms-first-2e
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Answer: d = 0.0847 g/L When the identity of a gas is unknown, measurements of the mass, pressure, volume, and temperature of a sample can be used to calculate the molar mass of the gas (a useful property for identification purposes). Combining the ideal gas equation and the definition of molar mass yields the following...
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[ "Gases" ]
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As a gas is collected over water, it becomes saturated with water vapor and the total pressure of the mixture equals the partial pressure of the gas plus the partial pressure of the water vapor. The pressure of the pure gas is therefore equal to the total pressure minus the pressure of the water vapor—this is referred ...
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[ "Gases" ]
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passage
Solution According to Dalton’s law, the total pressure in the bottle (750 torr) is the sum of the partial pressure of argon and the partial pressure of gaseous water: Rearranging this equation to solve for the pressure of argon gives: The pressure of water vapor above a sample of liquid water at 26 °C is 25.2 torr (App...
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2026-08-02
null
CC-BY-4.0
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[ "Gases" ]
248
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0
true
9506838576a3815b807e2143bb06e65b
X:osx:chemistry-atoms-first-2e:m68807
openstax-chemistry-atoms-first-2e
definition
diprotic acid: acid containing two ionizable hydrogen atoms per molecule diprotic base: base capable of accepting two protons monoprotic acid: acid containing one ionizable hydrogen atom per molecule stepwise ionization: process in which a polyprotic acid is ionized by losing protons sequentially triprotic acid: acid t...
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2026-08-02
null
CC-BY-4.0
per-record-metadata:LICENSE@32c71962
[ "Acid-Base Equilibria", "diprotic acid", "diprotic base", "monoprotic acid", "stepwise ionization", "triprotic acid" ]
72
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18493972b85aa92e7991b7a8ce3e9b4f
X:osx:chemistry-atoms-first-2e:m68787
openstax-chemistry-atoms-first-2e
passage
Factors Affecting Reaction Rates The rates at which reactants are consumed and products are formed during chemical reactions vary greatly. Five factors typically affecting the rates of chemical reactions will be explored in this section: the chemical nature of the reacting substances, the state of subdivision (one larg...
32c719622fbb7a0ca729cd645c1df4cf4e7d5b3a
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2026-08-02
null
CC-BY-4.0
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[ "Kinetics" ]
235
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0
true
9ce9d7ee2a094e1f4ecc28b7b8cf9c92
X:osx:chemistry-atoms-first-2e:m68787
openstax-chemistry-atoms-first-2e
passage
However, the lower temperature inside of a refrigerator slows that process so that the same food remains fresh for days. Gas burners, hot plates, and ovens are often used in the laboratory to increase the speed of reactions that proceed slowly at ordinary temperatures. For many chemical processes, reaction rates are ap...
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2026-08-02
null
CC-BY-4.0
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[ "Kinetics" ]
235
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3a39c61ec41833dc7c671f4def1de69b
X:osx:chemistry-atoms-first-2e:m68787
openstax-chemistry-atoms-first-2e
definition
catalyst: substance that increases the rate of a reaction without itself being consumed by the reaction
32c719622fbb7a0ca729cd645c1df4cf4e7d5b3a
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2026-08-02
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[ "Kinetics", "catalyst" ]
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0
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X:osx:chemistry-atoms-first-2e:m68834
openstax-chemistry-atoms-first-2e
passage
Baking powder contains baking soda and a solid acid such as potassium hydrogen tartrate (cream of tartar), KHC4H4O6. As long as the powder is dry, no reaction occurs; immediately after the addition of water, the acid reacts with the hydrogen carbonate ions to form carbon dioxide: Dough will trap the carbon dioxide, cau...
32c719622fbb7a0ca729cd645c1df4cf4e7d5b3a
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2026-08-02
null
CC-BY-4.0
per-record-metadata:LICENSE@32c71962
[ "Representative Metals, Metalloids, and Nonmetals" ]
191
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0
0
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6a31d553961e3a31b55c8724b2b93b3f
X:osx:intermediate-algebra-2e:m81439
openstax-intermediate-algebra-2e
passage
To find the LCD of the fractions, we factored 12 and 18 into primes, lining up any common primes in columns. Then we “brought down” one prime from each column. Finally, we multiplied the factors to find the LCD. When we add numerical fractions, once we found the LCD, we rewrote each fraction as an equivalent fraction w...
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2026-08-02
null
CC-BY-4.0
per-record-metadata:LICENSE@77a933c6
[ "Rational Expressions and Functions" ]
223
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0
true
3437e0539130b632f317c37397f33b9a
X:osx:intermediate-algebra-2e:m81409
openstax-intermediate-algebra-2e
passage
The irrational number e is called the natural base. Natural Base e The number e is defined as the value of (1+1n)n, as n increases without bound. We say, as n approaches infinity, The exponential function whose base is e, f(x)=ex is called the natural exponential function. Natural Exponential Function The natural expon...
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2026-08-02
null
CC-BY-4.0
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[ "Exponential and Logarithmic Functions" ]
215
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0
0
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88ea9dbd6a6ee12ea5cc0d1a2333e242
X:osx:intermediate-algebra-2e:m81409
openstax-intermediate-algebra-2e
definition
asymptote: A line which a graph of a function approaches closely but never touches. exponential function: An exponential function, where a>0 and a≠1, is a function of the form f(x)=ax. natural base: The number e is defined as the value of (1+1n)n, as n gets larger and larger. We say, as n increases without bound, e≈2.7...
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2026-08-02
null
CC-BY-4.0
per-record-metadata:LICENSE@77a933c6
[ "Exponential and Logarithmic Functions", "asymptote", "exponential function", "natural base", "natural exponential function" ]
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3e36acd9098c596a2563ed997a9d99f5
X:osx:intermediate-algebra-2e:m81418
openstax-intermediate-algebra-2e
passage
Find the Sum of the First n Terms of an Arithmetic Sequence In the following exercises, find the sum of the first 30 terms of each arithmetic sequence. In the following exercises, find the sum of the first 50 terms of the arithmetic sequence whose general term is given. In the following exercises, find each sum. Writin...
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2026-08-02
null
CC-BY-4.0
per-record-metadata:LICENSE@77a933c6
[ "Sequences, Series and Binomial Theorem" ]
126
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0
0
true
acff108bcf32820aa531c1206676905a
X:osx:introductory-business-statistics-2e:m55672
openstax-introductory-business-statistics-2e
passage
Random variable: p'A–p'B= difference between the two estimated proportions Distribution: normal distribution Formula Review Pooled Proportion: pc = xA+xBnA+nB Test Statistic (z-score): Zc=(p′A−p′B)pc(1−pc)(1nA+1nB) where pA' and pB' are the sample proportions, pA and pBare the population proportions, Pc is the pooled p...
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2026-08-02
null
CC-BY-4.0
per-record-metadata:LICENSE@50ec9174
[ "Hypothesis Testing with Two Samples" ]
242
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0
0
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949678d4cadf735ab25401cb8b44f10d
X:osx:population-health:m00134
openstax-population-health
passage
The incarcerated population also experienced a disproportionate burden of COVID-19 disease, with a case rate that was almost six times higher and a death rate that was three times higher than that of the non-incarcerated population (Andraska et al., 2021). These statistics are unsurprising given that incarcerated popul...
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2026-08-02
null
CC-BY-4.0
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[ "Structural Racism and Systemic Inequities" ]
179
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0
0
true
ccf68052d61a54856d4db56c8d7fbca1
X:osx:population-health:m00134
openstax-population-health
passage
Advocacy can take many forms, such as advocating for: - professional development across health professions education on the role of structural racism and implicit bias in health care disparities; - elimination of predatory advertising of alcohol, cigarettes, and vaping products among lower-income communities; - accessi...
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2026-08-02
null
CC-BY-4.0
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[ "Structural Racism and Systemic Inequities" ]
225
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0
0
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X:osx:population-health:m00206
openstax-population-health
passage
To meet the needs of this multicultural population, nurses must recognize and appreciate the differences in health care values, beliefs, and customs in a diverse society. The Difference Between Race, Ethnicity, Culture, and Nationality Race, ethnicity, culture, and nationality are distinct but interconnected concepts t...
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2026-08-02
null
CC-BY-4.0
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[ "Cultural Influences on Health Beliefs and Practices" ]
244
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X:osx:population-health:m00206
openstax-population-health
passage
However, as a pluralistic rather than truly multicultural society, the United States has a dominant culture and allows minority groups to maintain their unique identities in the larger society. This coexistence of a dominant culture and diverse minority groups can result in positive aspects, such as cultural enrichment...
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2026-08-02
null
CC-BY-4.0
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[ "Cultural Influences on Health Beliefs and Practices" ]
244
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X:osx:population-health:m00325
openstax-population-health
passage
Yoga, mindfulness, meditation sessions, and a fitness application for smartphone use are also offered. Daily tips on the SilverSneakers blog provide information on nutrition, diseases and conditions, and physical activity tips. Caregivers who assist older adults are essential members of public health care. While some c...
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2026-08-02
null
CC-BY-4.0
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[ "Health Promotion and Maintenance Across the Lifespan" ]
233
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X:osx:population-health:m00325
openstax-population-health
passage
According to the CDC (2019b), 22.3 percent of adults reported providing care or assistance to a friend or family member in the past 30 days. Among adults aged 45 to 64 years, 24.4 percent were caregivers, compared to 18.8 percent of adults aged 65 years and over. One in four (25.4 percent) women were caregivers, compar...
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2026-08-02
null
CC-BY-4.0
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[ "Health Promotion and Maintenance Across the Lifespan" ]
235
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39e2d81b4e44ec332ce612bbbf46f63a
X:osx:population-health:m00325
openstax-population-health
passage
The following are Medicare-covered preventive service guidelines for older adults (Highmark, 2023b): - Weight, height, and BMI monitoring annually - Blood pressure screening annually - Lipid panel every 5 years or as clinically indicated - Fasting plasma glucose in those who are overweight or obese annually - Mammograp...
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2026-08-02
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CC-BY-4.0
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[ "Health Promotion and Maintenance Across the Lifespan" ]
234
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X:osx:population-health:m00325
openstax-population-health
passage
Prevalence of multiple chronic conditions among U.S. adults, 2018. Preventing Chronic Disease, 17, 2000130. https://doi.org/10.5888/pcd17.200130 Bowman, R. M. (2022). Myelomeningocele (spina bifida): Management and outcome. UpToDate. Retrieved April 15, 2023, from https://www.uptodate.com/contents/myelomeningocele-spin...
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2026-08-02
null
CC-BY-4.0
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[ "Health Promotion and Maintenance Across the Lifespan" ]
233
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X:osx:population-health:m00358
openstax-population-health
definition
triage tag: standardized method used to sort victims quickly, indicate the level of treatment needed using tag colors that are universally recognized and correspond to a predetermined set of physical assessment findings
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2026-08-02
null
CC-BY-4.0
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[ "Principles of Disaster Management", "triage tag" ]
44
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X:osx:population-health:m00361
openstax-population-health
passage
The defining attributes of nurse advocacy include safeguarding, apprising, valuing mediating, and championing social justice in health care (Abbasinia et al., 2020). To advocate for persons and populations, nurses safeguard their clients by preventing medical errors and calling out incompetency or misconduct by any hea...
f0124920c65609137effe2333dea327d1c77accc
https://github.com/openstax/osbooks-nursing-external-bundle/blob/f0124920c65609137effe2333dea327d1c77accc/modules/m00361/index.cnxml
2026-08-02
null
CC-BY-4.0
per-record-metadata:LICENSE@f0124920
[ "Advocating for Population Health" ]
246
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X:osx:population-health:m00361
openstax-population-health
passage
Transgender and nonbinary youths are two to three times more likely to experience poor mental health outcomes such as depression, anxiety, and risk for suicidal ideation, suicide attempts, and self-harm than cisgender youth (Reisner et al., 2015). A report in 2021 revealed that when nurses provided educational workshop...
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2026-08-02
null
CC-BY-4.0
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[ "Advocating for Population Health" ]
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X:osx:population-health:m00361
openstax-population-health
passage
Why LGBTQIA+ Cultural Competence Matters In this video, Sarah Rosso, the executive director of the Hugh Lane Wellness Foundation and mental health advocate and ally, explains how LGBTQIA+ cultural competence supports clients’ mental health. Watch the video, and then respond to the following questions. - Why does Sarah ...
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2026-08-02
null
CC-BY-4.0
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[ "Advocating for Population Health" ]
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X:osx:population-health:m00362
openstax-population-health
passage
Finally, Tracy’s roommate convinced her to go to university health services where she met with Tonja, a registered nurse. Tracy told Tonja that she was afraid to walk alone on campus. She was also afraid her boyfriend would be expelled or blame her for ruining his life if she told the police what had happened. - What c...
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2026-08-02
null
CC-BY-4.0
per-record-metadata:LICENSE@f0124920
[ "Advocating for Population Health" ]
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X:osx:population-health:m00362
openstax-population-health
passage
State-level nursing organizations provide ongoing updates about health concerns throughout the state and offer regular professional development conferences, updates on health care issues, and legislation that affects nursing care to clients and their families. For example, while a four-client-to-one-nurse ratio has bee...
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2026-08-02
null
CC-BY-4.0
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[ "Advocating for Population Health" ]
252
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9e2c6d4c60267c4c6a3ecb91808894b2
X:osx:population-health:m00368
openstax-population-health
passage
There are many models that describe the steps of policy development, but one of the most commonly used in creating public health policy is the stage-sequential model, illustrated in . This model breaks the policy development process into five general stages (CDC, 2020a): - Agenda setting - Policy formulation - Policy a...
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2026-08-02
null
CC-BY-4.0
per-record-metadata:LICENSE@f0124920
[ "Engagement in the Policy Development Process" ]
234
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X:osx:american-government-4e:m90468
openstax-american-government-4e
passage
In addition, when state party control is divided between the legislative and executive branches, the governor may find that legislators are more likely to muster the numbers to overturn at least some of their vetoes. In contrast, when the governor’s own party controls the legislature—a situation known as unified govern...
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2026-08-02
null
CC-BY-4.0
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[ "State and Local Government" ]
204
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openstax-american-government-4e
definition
amendatory veto: a veto that allows a governor to send a bill back to the legislature with a message requesting a specific amendment delegate legislator: a legislator who represents the will of those who elected the legislator to office and acts in their expressed interest, even when it goes against a personal belief a...
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2026-08-02
null
CC-BY-4.0
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[ "State and Local Government", "amendatory veto", "delegate legislator", "formal powers", "line-item veto", "pardon", "reduction veto", "trustee" ]
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openstax-american-government-4e
passage
Acid rain is a widely recognized problem that did not make it on to the governmental policy agenda until Congress passed the Air Quality Act of 1967, long after environmental groups started asking for laws to regulate pollution. In the second policy phase, enactment, the elected branches of government typically conside...
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CC-BY-4.0
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[ "Domestic Policy" ]
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openstax-introduction-philosophy
passage
The devastation caused by World War I (1914–1918), after which Europe struggled to rebuild and cope with food shortages and unemployment, created conditions that were ripe for the emergence of charismatic strongmen who promised to bring prosperity back to their nations. It was during this same period that German citize...
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CC-BY-4.0
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[ "Political Philosophy" ]
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openstax-prealgebra-2e
passage
So we found that Notice that for multiplication of two signed numbers, when the signs are the same, the product is positive, and when the signs are different, the product is negative. Multiplication of Signed Numbers The sign of the product of two numbers depends on their signs. When we multiply a number by 1, the resu...
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[ "Integers" ]
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openstax-prealgebra-2e
passage
Here is an example of a linear equation in two variables, x and y: Is y=−5x+1 a linear equation? It does not appear to be in the form Ax+By=C. But we could rewrite it in this form. By rewriting y=−5x+1 as 5x+y=1, we can see that it is a linear equation in two variables because it can be written in the form Ax+By=C. Lin...
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CC-BY-4.0
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[ "Graphs" ]
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0
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openstax-principles-management
passage
Principle 3. Management and the workforce should work together to ensure that work is performed according to the principles of management. Taylor’s observation went against the long-established principles of both management and the worker who believed that each was the other’s enemy. Rather than enmity, Taylor stressed...
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[ "The History of Management" ]
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openstax-college-success-concise
passage
Preface Welcome to College Success Concise, an OpenStax resource. This textbook was written to increase student access to high-quality learning materials, maintaining highest standards of academic rigor at little to no cost. About OpenStax OpenStax is part of Rice University, which is a 501(c)(3) nonprofit charitable c...
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[]
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X:osx:college-success-concise:m00044
openstax-college-success-concise
passage
These students grapple with the same concepts, from improving study skills to embracing diversity, and through their experiences and successes we share important stories. - Get Connected: Apps, websites and tech opportunities that our experts recommend to help students better face the challenges of college and life bey...
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openstax-introduction-intellectual-property
passage
Perhaps this was also partly in response to Apple joining with BlackBerry maker Research In Motion (RIM), Microsoft, Ericsson, Sony, and EMC to buy 6,000 patents owned by Nortel for $4.5 billion in July 2011, largely to keep them from falling into the hands of competitors like Google and Samsung. http://gadgets.ndtv.co...
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openstax-microbiology
passage
Unique Characteristics of Prokaryotic Cells Learning Objectives By the end of this section, you will be able to: - Explain the distinguishing characteristics of prokaryotic cells - Describe common cell morphologies and cellular arrangements typical of prokaryotic cells and explain how cells maintain their morphology - ...
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openstax-microbiology
passage
These structures are considered proto-organelles because they compartmentalize important compounds or chemical reactions, much like many eukaryotic organelles. Endospores Bacterial cells are generally observed as vegetative cells, but some genera of bacteria have the ability to form endospores, structures that essentia...
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X:osx:microbiology:m58792
openstax-microbiology
passage
These include B. anthracis, the causative agent of anthrax, which produces endospores capable of surviving for many decadesR. Sinclair et al. “Persistence of Category A Select Agents in the Environment. Applied and Environmental Microbiology 74 no. 3 (2008):555–563.; C. tetani (causes tetanus); C. perfringens (causes g...
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X:osx:microbiology:m58792
openstax-microbiology
passage
All of these properties are advantageous to the microbes living in a biofilm, but they present challenges in a clinical setting, where the goal is often to eliminate microbes. The ability to produce a capsule can contribute to a microbe’s pathogenicity (ability to cause disease) because the capsule can make it more dif...
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openstax-microbiology
passage
It stores bacteriochlorophyll in chlorosomes, similar to Chlorobium, and performs anoxygenic photosynthesis, using organic sulfites (low concentrations) or molecular hydrogen as electron donors, so it can survive in the dark if oxygen is available. Chloroflexus does not have flagella but can glide, like Cytophaga. It g...
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X:osx:microbiology:m58841
openstax-microbiology
passage
Because this sequence allows the start of DNA synthesis, it is appropriately called the primer. The primer is five to 10 nucleotides long and complementary to the parental or template DNA. It is synthesized by RNA primase, which is an RNA polymerase. Unlike DNA polymerases, RNA polymerases do not need a free 3’-OH grou...
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[ "Mechanisms of Microbial Genetics" ]
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X:osx:microbiology:m58884
openstax-microbiology
passage
Bacterial antigens may also be associated with extracellular toxins and enzymes that they secrete. Viruses possess a variety of antigens associated with their capsids, envelopes, and the spike structures they use for attachment to cells. Antigens may belong to any number of molecular classes, including carbohydrates, l...
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openstax-microbiology
passage
Indeed, until 2012, this organism was considered a “select agent” of bioterrorism and classified as a BSL-3 microbe. Serological tests for antibody production are more often used for diagnosis. Although mild cases generally do not require intervention, disseminated infections can be treated with intravenous antifungal ...
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openstax-microbiology
passage
Armitage, and David A. Relman. “Methanogenic Archaea and Human Periodontal Disease. Proceedings of the National Academy of Sciences of the United States of America 101 (2003): 16, pp. 6176–6181. doi: 10.1073/pnas.0308766101. Gingivitis is diagnosed by visual inspection, including measuring pockets in the gums, and X-ra...
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openstax-microbiology
passage
Erroneously, the disease quickly became stigmatized as one associated with what became identified as at-risk behaviors such as sexual promiscuity, homosexuality, and IV drug use, even though mounting evidence indicated the disease was also contracted through transfusion of blood and blood products or by fetuses of infe...
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[ "Circulatory and Lymphatic System Infections" ]
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openstax-microbiology
passage
Intercellular entry involves the use of microbial virulence factors, toxins, or inflammation-mediated processes to pass between the cells of the blood-brain barrier. In transcellular entry, the pathogen passes through the cells of the blood-brain barrier using virulence factors that allow it to adhere to and trigger up...
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The soma also produces an elongated extension, called the axon, which is responsible for the transmission of electrochemical signals through elaborate ion transport processes. Axons of some types of neurons can extend up to one meter in length in the human body. To facilitate electrochemical signal transmission, some n...
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Unless the median, first quartile, and third quartile are the same value, the median will lie inside the box or between the first and third quartiles. The box plot gives a good, quick picture of the data. NOTE You may encounter box-and-whisker plots that have dots marking outlier values. In those cases, the whiskers ar...
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Independent groups The average amount of time boys and girls aged 7 to 11 spend playing sports each day is believed to be the same. A study is done and data are collected, resulting in the data in . Each populations has a normal distribution. Try It NOTE When the sum of the sample sizes is larger than 30 (n1 + n2 > 30)...
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[ "Hypothesis Testing with Two Samples" ]
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End of preview. Expand in Data Studio

⚓ Ballast T2

The textbook tier of the Ballast knowledge artifact: 61 OpenStax textbooks as passage chunks — 90,445 chunks across 9,018 linked sections (≈92 MB of text, 34 MB zstd parquet). Where T0 carries facts as triples and T1 carries encyclopedia prose, T2 carries pedagogical prose — definitions, worked explanations, and method text of the kind reference corpora state but never teach.

Layout

passages/tier=T2/lang=en/lic=by/rank_bucket=7/part-0.parquet
sources.parquet        # one row per book: name, homepage, pinned git SHA, license
licenses.parquet       # license registry the per-chunk lic key resolves to
manifest.json          # per-file counts, bytes, sha256, build provenance

passages schema matches T1 (qid, chunk_idx, title, heading, text; chunker t1-chunk-v1, ~1.2 KB atomic chunks). Two T1 conventions do not apply here: T2 v1 has no notability ranking — every chunk sits in the tail bucket (rank_bucket=7), so corpus levels are a no-op — and chunks are keyed to book sections rather than Wikidata entities.

SELECT title, heading, text
FROM read_parquet('ballast-t2/passages/**/*.parquet', hive_partitioning=true)
WHERE text ILIKE '%standard deviation%' LIMIT 5;

Run it locally (serving format)

serving/sqlite/ carries the same chunks as a single-level SQLite corpus for the ballast CLI (v0.3.0+): 25 MB download, 116 MB on disk. Documents are the 9,018 book modules; the name index is module titles plus per-module index terms, so lookup resolves questions like "what is marginal cost" to the right chapter. Entity-name lookup over textbook prose is functional but unbenchmarked.

uvx openballast pull --tier t2
uvx openballast serve --corpus t2     # proxy :11435 + MCP :11436

Serving ids are corpus-local (D…); provenance stays in this parquet distribution (chunk_id, pinned revision, source_url per chunk).

Provenance: pinned against a license flip

Every book is ingested from its official OpenStax source repository at a pinned git commit, recorded per book in sources.parquet (access_path = git:<repo>@<sha>, retrieved 2026-08-02). The pinning is load-bearing: parts of the OpenStax catalog moved from CC BY to CC BY-NC-SA in spring 2026, and aggregator license metadata did not always track the change. This distribution therefore trusts only the license text at the pinned commit of the official repo, never catalog metadata.

The research build behind this artifact contains a second cell: 9 post-flip titles (10,050 chunks) under CC BY-NC-SA 4.0. That cell is excluded from this distribution to keep the published artifact commercially safe under a single license. The full manifest documents both cells, so the exclusion is visible rather than silent.

Curation & processing

What was selected, what was done to it, and why — so this is auditable rather than "some textbook text":

  1. Selection. The OpenStax catalog, and nothing else: every book with an official source repository under github.com/openstax at retrieval time (2026-08-02). No aggregators, no mirrors, no PDF scrapes — the official CNXML/collection source is the only ingestion path, because it is the only place license status is authoritative.
  2. Pinning. Each repository is pinned to one commit (sources.parquet.access_path), chosen as the newest commit whose LICENSE grants CC BY 4.0. Books whose current license is CC BY-NC-SA are carried at their NC state, not silently rolled back — and that cell is excluded from this distribution (see Provenance).
  3. License resolution. Per-book license read from the repo's license file at the pinned commit under versioned rules (t1-license-rules-v2), never from catalog or aggregator metadata — the spring-2026 relicensing showed the metadata lags the repos.
  4. Extraction & chunking. Book markup to plain prose with the same deliberately simple parser as T1 (t1-chunk-v1): boilerplate sections dropped, figures and math markup dropped, paragraphs merged greedily to a ≈1.2 KB atomic-chunk target, section heading carried per chunk.
  5. Dedup. Exact-duplicate chunks removed within the tier (dedup_ledger.parquet records what, if anything, was suppressed — zero for this build).
  6. Why this tier exists. The companion tiers carry facts (T0) and encyclopedia prose (T1). Pedagogical prose is a different knowledge shape — definitions and worked method text — and keeping it a separate, separately-licensed tier lets downstream users include or exclude it deliberately rather than inheriting it mixed in.

Limitations

  • Pedagogical prose, verbatim. Exercises, figure references, and chapter cross-references survive in chunk text; figures themselves and math markup are dropped by the parser (t1-chunk-v1 — the same deliberately simple parser as T1, with the same class of markup residue).
  • No notability ranking (see above): download is all-or-nothing at 34 MB, which at this size is not a hardship.
  • English only, one catalog. T2 v1 is OpenStax-only; the tier is designed to grow by adding pinned sources, not by re-crawling.

License & attribution

CC BY 4.0 (OpenStax, Rice University). Attribution resolves through each chunk's partition and title to the book row in sources.parquet, which carries the book's name, homepage, and pinned source commit. OpenStax is not affiliated with and does not endorse this distribution.

Companion artifacts: ballast-t0, ballast-t1, ballast-evalsets.

Questions and issues: github.com/OpenBallast/ballast/issues.

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