PreAlgebra 1.6
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The document discusses subtracting integers and evaluating change using subtraction. It provides examples of subtracting integers and evaluating expressions. It then asks how the elevation of the volcano Kick-’em-Jenny changed between 1962 and 2002. The elevation was -235 meters in 1962 and -182 meters in 2002, so it increased by 53 meters.
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The document contains examples and practice problems for evaluating expressions with integers. It includes:
1) Worked examples of evaluating expressions when given values for variables, such as finding 11 + 4(3) = 34 and 6(17)(3) = 5.
2) Practice problems for students to solve, such as evaluating expressions when k = -36, m = 6, and n = 3.
3) Exercises for students to try on their own, following the order of operations with integers.
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2) Geometric series converge when the absolute value of the common ratio r is less than 1, and diverge when the absolute value of r is greater than 1.
3) The homework assignment includes evaluating example geometric series, determining whether other series converge or diverge, and completing a worksheet to review for a test on geometric series.
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The document contains information about graphing a quadratic equation. It provides the vertex of (-5,-2) and finds the equation by using the vertex form y=a(x-h)^2+k. The calculated equation is y=-1/9(x-5)^2-2. This equation is compared to the graphing calculator's equation of y=-.473x^2+4.81x-14.33, which is similar but not exactly the same. Both equations are negative and open down. The actual equation given is y=-.473x^2+4.81x-14.33.
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The document discusses geometric sequences and series. It provides examples of:
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2.5 dividing integers ws day 2
The document contains examples and practice problems for evaluating expressions with integers. It includes:
1) Worked examples of evaluating expressions when given values for variables, such as finding 11 + 4(3) = 34 and 6(17)(3) = 5.
2) Practice problems for students to solve, such as evaluating expressions when k = -36, m = 6, and n = 3.
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A graph is planar if it can be drawn on a plane without edge crossings. The complete graphs K5 and K3,3 are non-planar as they contain subgraphs that cannot be drawn without crossings. The Euler formula relates the number of vertices, edges, and faces in a planar graph as e - n + f = 2. Planarity can be tested using Kuratowski's theorem which states that a graph is planar unless it contains K5 or K3,3 as a subgraph.
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This document provides an overview of Newton's laws of motion and the concept of gravity. It discusses Newton's second law of motion which relates force, mass and acceleration. It describes how gravity is an attractive force between objects based on their masses and distance. It also discusses how friction and air resistance oppose motion and influence acceleration. Terminal velocity is defined as the highest speed an object reaches when air resistance balances the force of gravity.
Momentum
An object's momentum depends on both its velocity and mass, and is represented by the equation p=mv. The total momentum in a system is conserved according to the law of conservation of momentum, meaning momentum cannot be created or destroyed, but can be transferred between objects. For example, if a baseball team loses its lead and another team stages a comeback, the momentum has shifted to the other team without being destroyed or new momentum being created.
Velocity and acceleration
Distance and time are important factors in describing motion, especially in running events. To win a race, runners must cover the distance in the shortest time. Speed is the distance traveled per unit of time and is important for describing motion, along with other factors like average and instantaneous speed. Acceleration is the rate of change of velocity and can be positive if an object is speeding up or negative if slowing down.
Chapter18
The document discusses several key concepts related to microevolution and population genetics, including:
- Gene pools and allelic frequencies changing over time through mutations, gene flow, genetic drift, and non-random mating can cause microevolution.
- Hardy-Weinberg principle states that allele frequencies remain stable in a population not experiencing these evolutionary forces.
- Types of natural selection include directional, stabilizing, and disruptive selection.
- Speciation occurs when reproductive isolation leads to the splitting of one species into two or more distinct species over time. Mechanisms of isolation can be prezygotic or postzygotic.
Chapter11
- Mendel's experiments helped formulate the particulate theory of inheritance and showed that inheritance involves reshuffling of genes from generation to generation.
- The law of segregation states that each individual has two factors for each trait which segregate during gamete formation such that each gamete contains only one factor.
- The law of independent assortment states that each pair of factors segregates independently of other pairs, resulting in all possible combinations of factors in gametes. Punnett squares can be used to determine possible offspring combinations.
Nuclear changes
The document summarizes key concepts about radioactivity and nuclear decay from a textbook chapter. It describes the three main types of nuclear radiation: alpha particles which are emitted during alpha decay and consist of two protons and two neutrons; beta particles which are electrons emitted during beta decay when a neutron decays to a proton; and gamma radiation which is electromagnetic waves. It explains how these emissions can change one element into another through nuclear transmutation.
Chapter 9 new
1) The cell cycle consists of interphase, where the cell grows and duplicates its components, and the mitotic stage where the cell divides.
2) Mitosis involves the equal separation of chromosomes into two daughter nuclei, followed by cytokinesis which divides the cytoplasm.
3) Cell cycle progression is regulated by both internal and external signals, such as cyclins and growth factors, to ensure DNA replication and cell division occur at the proper times.
Chapter48
Three biogeochemical cycles are the carbon cycle, nitrogen cycle, and phosphorus cycle. They are called biogeochemical cycles because they involve the movement of chemical elements between biotic (living) and abiotic (non-living) parts of ecosystems. A water molecule could travel through the hydrologic cycle by evaporating from bodies of water into the atmosphere and condensing to form clouds, then falling as precipitation and running into streams or soaking into the ground.
Chemicalreactions
This document provides an overview of chemical reactions, including:
- A chemical reaction occurs when reactants are converted into products.
- Lavoisier established the law of conservation of mass through experiments showing reactants and products have the same total mass.
- Chemical equations represent reactions using formulas and can be balanced to show equal numbers of atoms on each side.
- There are several types of chemical reactions including synthesis, decomposition, and oxidation-reduction.
- Reactions can release or absorb energy in different forms like heat or light. Catalysts increase reaction rates without being used up.
Chemicalreactions
This document provides an overview of chemical reactions, including:
- A chemical reaction occurs when reactants are converted into products.
- Lavoisier established the law of conservation of mass through experiments showing reactants and products have the same total mass.
- Chemical equations represent reactions using formulas and can be balanced to show equal numbers of atoms on each side.
- There are several types of chemical reactions including synthesis, decomposition, and oxidation-reduction.
- Reactions can release or absorb energy in different forms like heat or light. Catalysts increase reaction rates without being used up.
Bonding
The document summarizes properties and bonding of various groups of elements from the periodic table. It discusses how metals are good conductors of heat and electricity, and have properties like malleability and luster. It describes metallic bonding and how it allows metals to be shaped without breaking. It then covers the specific properties and uses of groups like the alkali metals, alkaline earth metals, and transition metals. It also summarizes the properties of nonmetals.
Ecology of populations
This document summarizes key concepts in population ecology, including:
1) Population density refers to the number of individuals per unit area, while distribution refers to where individuals are located. Limiting factors restrict population size and distribution.
2) Intrinsic rate of natural increase describes population growth based on birth and death rates. Exponential growth occurs with unlimited resources, while logistic growth slows as resources diminish.
3) Life history patterns vary based on environmental stability - r-selected species thrive in unstable environments with many offspring, while K-selected species in stable environments have few offspring and parental care.
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SATTA MATKA SATTA FAST RESULT KALYAN TOP MATKA RESULT KALYAN SATTA MATKA FAST RESULT MILAN RATAN RAJDHANI MAIN BAZAR MATKA FAST TIPS RESULT MATKA CHART JODI CHART PANEL CHART FREE FIX GAME SATTAMATKA ! MATKA MOBI SATTA 143 spboss.in TOP NO1 RESULT FULL RATE MATKA ONLINE GAME PLAY BY APP SPBOSS一比一原版新西兰奥塔哥大学毕业证（otago毕业证）如何办理
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留信网认证的作用:
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PreAlgebra 1.6
- 1. Eruptions have caused the volcano to grow. In 1962 , the summit elevation of Kick-’em-Jenny was –235 meters. In 2002 , the summit elevation was –182 meters. By how many meters did the elevation of the volcano change? You will use integer subtraction to answer this question. Earth Science Kick-’em-Jenny is an underwater volcano in the Caribbean Sea. Subtracting Integers 1.6 LESSON
- 2. As you can see from the number lines below, the expression 5 – 4 and 5 + (–4) have the same value, 1 . These equivalent expressions suggest the following rule for subtracting integers. 5 – 4 5 + (–4) 4 0 1 2 3 6 5 – 1 4 0 1 2 3 6 5 – 1 Subtracting Integers 1.6 LESSON
- 3. Subtracting Integers Words To subtract an integer, add its opposite. Numbers 3 – 7 = 3 + (–7) = –4 Algebra a – b = a + (– b ) Subtracting Integers 1.6 LESSON
- 4. Subtracting Integers 4 – 10 = To subtract 10 , add its opposite, –10 . = –6 4 + ( – 10 ) Add 4 and –10 . EXAMPLE 1 Subtracting Integers 1.6 LESSON
- 5. Subtracting Integers 7 – ( – 5 ) = To subtract –5 , add its opposite, 5 . = 12 7 + 5 Add 7 and 5 . 4 – 10 = To subtract 10 , add its opposite, –10 . = –6 4 + (– 10 ) Add 4 and –10 . EXAMPLE 1 Subtracting Integers 1.6 LESSON
- 6. Subtracting Integers 7 – (– 5 ) = To subtract –5 , add its opposite, 5 . = 12 7 + 5 Add 7 and 5 . 4 – 10 = To subtract 10 , add its opposite, –10 . = –6 4 + (– 10 ) Add 4 and –10 . – 2 – ( – 9 ) = To subtract –9 , add its opposite, 9 . = 7 – 2 + 9 Add –2 and 9 . EXAMPLE 1 Subtracting Integers 1.6 LESSON
- 7. Evaluating Variable Expressions x – (–40) To subtract –40 , add 40 . = 31 = –9 + 40 Add –9 and 40 . Evaluate the expression when x = –9 . x – (–40) = Substitute –9 for x . – 9 – (–40) SOLUTION EXAMPLE 2 Subtracting Integers 1.6 LESSON
- 8. Evaluating Variable Expressions 7 – x To subtract –9 , add 9 . = 16 = 7 + 9 Add 7 and 9 . Evaluate the expression when x = –9 . 7 – x = Substitute –9 for x . 7 – ( – 9 ) SOLUTION EXAMPLE 2 Subtracting Integers 1.6 LESSON
- 9. Evaluating Change You can use subtraction to find the change in a variable quantity such as elevation or temperature. Subtract the original value of the quantity from the value after the change. Subtracting Integers 1.6 LESSON
- 10. Evaluating Change By how many meters did the elevation of the volcano Kick-’em-Jenny change if the elevation in 1962 was –235 meters and –182 meters in 2002 ? To answer this question, you can subtract the elevation in 1962 from the elevation in 2002 . Write a verbal model. ANSWER The difference is 53 , so the summit elevation of Kick-’em-Jenny increased by 53 meters from 1962 to 2002 . To subtract –235 , add 235 . = 53 = –182 + 235 Add –182 and 235 . Substitute values. = – 182 – ( – 235 ) EXAMPLE 3 Change in elevation = Elevation in 2002 – Elevation in 1962 Subtracting Integers 1.6 LESSON