Module one- Lesson 01.01 The terms point‚ line‚ and plane are referred to as undefined. When you write the definition of these terms‚ you have to rely on other terms that need defining. Point- In general‚ a point is a location. Because points have no size‚ you can say they have no dimension. Line- a "stream" of points that has no width or depth. You can also think of a line as points lined up next to each other that go on forever in opposite directions. Because you can measure the distance
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Geometry is simply the study of space. There are Euclidean and Non-Euclidean Geometries. Euclidean geometry is the most common and is the basis for other Non-Euclidean types of geometry. Euclidean geometry is based on five main rules‚ or postulates. Differences in these rules are what make new kinds of geometries. There is Euclidean‚ Elliptic‚ and Hyperbolic Geometry. Euclidean geometry is the study of flat space and was invented by Euclid‚ a mathematician from Alexandria‚ in 330 B.C. Euclid described
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HYPERBOLIC GEOMETRY AND OMEGA TRIANGLES Hyperbolic geometry was first discovered and explored by Omar Khayyam in the 9th century and Giovanni Gerolamo Saccheri in the 15th century. Both were attempting to prove Euclid’s parallel postulate by proving the concept of hyperbolic geometry to be inconsistent‚ and ironically they discovered it to be a new type of geometry. It wasn’t until the 19th century that it became fully developed with help from Karl Friedrich Gauss‚ Janos Bolyai‚ and Nikolai
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Lab Report #1 Introduction A cell’s plasma membrane is known to be selectively permeable. This implies that the membrane is selective on what substances can pass in and out of the cell. There are two methods of transport that occur through the plasma membrane. One method of transport is called active process which uses ATP energy to transport substances through the membrane. The other method is called passive process which does not require the use of ATP energy. During passive processes
Free Diffusion Molecular diffusion Solution
these molecules can be predicted from their Lewis structures‚ however‚ with a model developed about 30 years ago‚ known as the valence-shell electron-pair repulsion (VSEPR) theory. The VSEPR theory assumes that each atom in a molecule will achieve a geometry that minimizes the repulsion between electrons in the valence shell of that atom. The five compounds shown in the figure below can be used to demonstrate how the VSEPR theory can be applied to simple molecules. There are only two places in the
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Name Period Date Molecular Geometry – Ch. 9 For each of the following molecules‚ draw the Lewis Diagram and tally up the electron pairs. Then‚ identify the correct the molecular shape and bond angle. molecule lewis diagram e- tally shape bond angle 1. SeO3 2. AsH3 3. NO2 - 4. BeF2 molecule lewis diagram e- tally shape bond angle 5. SiH4 6. SeH2 7. PF5 8. SCl6 Name:
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Question:An architect designs two houses that are shaped and positioned like a part of the branches of the hyperbola whose equation is 625y^2 - 400x^2=250‚000‚ where x and y are in yards. How far apart are the houses at their closeset point? Answers:625y^2 - 400x^2=250‚000 y^2 / 20^2 - x^2 / 25^2 = 1 The closest two points on separate branches are the vertices‚ and their separation is 2 * 20 = 40yd. I find the question a little confusing‚ though. Question:LORAN (long distance radio navigation)
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e- E) Al+ (g) + e- → Al (g) 4) The molecular geometry of the OH2 molecule is __________. A) linear B) bent C) trigonal planar D) tetrahedral E) octahedral 5) Which of the following correctly represents the second ionization of calcium? A) Ca (g) → Ca+ (g) + e- B) Ca+ (g) → Ca2+ (g) + e- C) Ca- (g) + e- → Ca2- (g) D) Ca+ (g) + e- → Ca2+ (g) E) Ca+ (g) + e- → Ca (g) 6) Using the VSEPR model‚ the molecular geometry of the central atom in CF4 is __________
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7.6 Summary 1. 7.6 Molecular Orbital Theory a. Intro i. Molecular orbital theory states that the atomic orbitals involved in bonding actually combine to form new orbitals that are the property of the entire molecule‚ rather than of the individual atoms forming the bonds. 1. The new orbitals are called molecular orbitals. ii. Electrons shared by atoms in a molecule reside in the molecular orbitals. iii. Molecular orbitals are like atomic orbitals
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MOLECULAR BIOLOGIST Education/Training Required: All molecular biologists must at least earn a bachelor’s degree in a related science field. Required courses usually include cell biology‚ evolutionary biology‚ genetics‚ ecology‚ general chemistry‚ biochemistry‚ organic chemistry‚ physics‚ molecular biology‚ multivariable calculus‚ and linear algebra. Most jobs for molecular biologists require a doctoral degree. During college‚ students may want to participate in science-related activities
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