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key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | on what factors kp kc depend ? |
key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | based on this information , what is $ k_\text p $ for the reaction ? to do this problem , it might be helpful to visualize our partial pressures using an ice table . note that we do n't include pure liquids in our calculations for $ k_\text p $ ; the table only includes partial pressure information for the two gaseous ... | if initial concentrations are not given , how do we then write the ice table ? |
key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | since initially there are no products in our system , we can fill in the first row of our table with zeros . equation | $ 2\text h_2 \text o ( l ) \leftrightharpoons $ | $ 2 \text h_2 ( g ) $ | $ \text o_2 ( g ) $ | : - : | : - : | : - : | : - : | initial | n/a | $ 0\ , \text { atm } $ | $ 0\ , \text { atm } $ change |... | of moles of ab2 to be some variable x or its stoichiometric coefficient 2 ? |
key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | based on this information , what is $ k_\text p $ for the reaction ? to do this problem , it might be helpful to visualize our partial pressures using an ice table . note that we do n't include pure liquids in our calculations for $ k_\text p $ ; the table only includes partial pressure information for the two gaseous ... | also , if the degree of dissociation is 'a ' , then how does the table change ? |
key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | otherwise , the stoichiometric coefficients and the exponents in the equilibrium constant will be incorrect . pure liquids or solids have a concentration of $ 1 $ in the equilibrium expression . this is the same as when calculating $ k_\text c $ . | a solution is prepared by dissolving o.050 moles diiodocyclohexane , c6h10i2 , in a solvent ccl4.the total solution volume is 1.00l when is a reversible reactionhas come to equilibrium at 35 degrees , the concentration of i2 is 0,035 a ) what are the concentration of c6h10i2 and c6h10 at equilibrium ? |
key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | example 2 ) , how are we to know which are the product gasses and which are the reactant gasses ? |
key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | all the partial pressures used for calculating $ k_\text p $ should have the same units . we can write $ k_\text p $ for reactions that include solids and pure liquids since they do not appear in the equilibrium expression . converting between gas concentration and partial pressure we can convert between gas concentrat... | while writing the kp for these reactions , should we avoid the solid and pure liquid parts ? |
key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | since the value of $ k_\text p $ depends on the units used for the partial pressure , you will need to check the pressure units used in your textbook when solving a $ k_\text p $ problem . all the partial pressures used for calculating $ k_\text p $ should have the same units . we can write $ k_\text p $ for reactions ... | what if you only have the gibbs free energy value and are trying to find the partial pressures ? |
key points the equilibrium constant , $ k_\text p $ , describes the ratio of product and reactant concentrations at equilibrium in terms of partial pressures . for a gas-phase reaction , $ \text { aa } ( g ) +\text { bb } ( g ) \leftrightharpoons \text { cc } ( g ) +\text { dd } ( g ) $ , the expression for $ k_\text p... | since initially there are no products in our system , we can fill in the first row of our table with zeros . equation | $ 2\text h_2 \text o ( l ) \leftrightharpoons $ | $ 2 \text h_2 ( g ) $ | $ \text o_2 ( g ) $ | : - : | : - : | : - : | : - : | initial | n/a | $ 0\ , \text { atm } $ | $ 0\ , \text { atm } $ change |... | how would you determine the sign of the change of x in the ice table if all the initial pressures/concentrations are the same and there are no other given values except for the chemical equation ? |
what can a tin can bull teach us about ecological and population health issues in the pacific ? michel tuffery is one of new zealand ’ s best-known artists of pacific descent , with links to samoa , rarotonga and tahiti . he majored in printmaking at dunedin ’ s school of fine arts , and describes art quite literally a... | these are all things that contribute to disproportionately high incidences of diabetes and heart disease in pacific island populations as diets formerly high in locally grown fruits and vegetables , seafood , coconut milk and flesh , give way to cheap , imported foodstuffs . so tuffery ’ s sculpture is impossible to se... | why is the bull sculpture titled `` corned beef 2000 '' , if it was in fact made in the year 1994 ? |
what can a tin can bull teach us about ecological and population health issues in the pacific ? michel tuffery is one of new zealand ’ s best-known artists of pacific descent , with links to samoa , rarotonga and tahiti . he majored in printmaking at dunedin ’ s school of fine arts , and describes art quite literally a... | then think about all the cans that are emptied and discarded in the pacific islands each year . tuffery is gesturing rather obviously towards the challenge of rubbish disposal in island economies where creative `` upcycling '' of materials into new objects is often more common than the civic recycling regimes of larger... | what is the diffrence of recycling and upcycling ? |
overview islam spread through military conquest , trade , pilgrimage , and missionaries . arab muslim forces conquered vast territories and built imperial structures over time . most of the significant expansion occurred during the reign of the rashidun from 632 to 661 ce , which was the reign of the first four success... | these entities continued to evolve in their own ways , adopting and putting forth different interpretations of islam as they sought to consolidate their power in different regions . what are some of the ways in which islam spread ? when did most conversion to islam occur ? the first arab muslim empire during the sevent... | was it caused because the zoroastrianism system was weak or because islam is most effective in synthesis of the two spiritual traditions ? |
overview islam spread through military conquest , trade , pilgrimage , and missionaries . arab muslim forces conquered vast territories and built imperial structures over time . most of the significant expansion occurred during the reign of the rashidun from 632 to 661 ce , which was the reign of the first four success... | the abbasid dynasty—from 750 to 1258—intensified and solidified these cultural changes . before the umayyads , islamic rule was non-centralized . the military was organized under the caliphate , a political structure led by a muslim steward known as a caliph , who was regarded as the religious and political successor t... | how does the islamic view of muhammad differ from the christian view of jesus ? |
overview islam spread through military conquest , trade , pilgrimage , and missionaries . arab muslim forces conquered vast territories and built imperial structures over time . most of the significant expansion occurred during the reign of the rashidun from 632 to 661 ce , which was the reign of the first four success... | the abbasid dynasty—from 750 to 1258—intensified and solidified these cultural changes . before the umayyads , islamic rule was non-centralized . the military was organized under the caliphate , a political structure led by a muslim steward known as a caliph , who was regarded as the religious and political successor t... | how did the islamic empire develop ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | we 'll explore reaction rates further when we look at activation energy . spontaneity of forward and reverse reactions if a reaction is endergonic in one direction ( e.g. , converting products to reactants ) , then it must be exergonic in the other , and vice versa . as an example , let ’ s consider the synthesis and b... | why is it that in spontaneity of forward and reverse reactions , the change in g for both the forward and reverse reactions is equal to +7.3 kcal/mol ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | the gibbs free energy ( g ) of a system is a measure of the amount of usable energy ( energy that can do work ) in that system . the change in gibbs free energy during a reaction provides useful information about the reaction 's energetics and spontaneity ( whether it can happen without added energy ) . we can write ou... | would n't a positive change in g for an exergonic reaction go against the laws of gibbs free energy change ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | basically , we need some kind of metric that captures the effect of a reaction on the entropy of the universe , including both the reaction system and its surroundings . conveniently , both of these factors are rolled into one convenient value called the gibbs free energy . the gibbs free energy ( g ) of a system is a ... | why is it called free energy instead of available energy ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | on the other hand , when a reaction absorbs heat or decreases the entropy of the system , these factors make ∆g more positive . by looking at ∆h and ∆s , we can tell whether a reaction will be spontaneous , non-spontaneous , or spontaneous only at certain temperatures . if a reaction both releases heat and increases en... | what does sal mean by the term `` spontaneous '' ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | in this case , the products , or final state , have more free energy than the reactants , or initial state . endergonic reactions are non-spontaneous , meaning that energy must be added before they can proceed . you can think of endergonic reactions as storing some of the added energy in the higher-energy products they... | is the scientific meaning different to the everyday meaning ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | basically , we need some kind of metric that captures the effect of a reaction on the entropy of the universe , including both the reaction system and its surroundings . conveniently , both of these factors are rolled into one convenient value called the gibbs free energy . the gibbs free energy ( g ) of a system is a ... | is gibbs free energy a type of potential energy ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | basically , we need some kind of metric that captures the effect of a reaction on the entropy of the universe , including both the reaction system and its surroundings . conveniently , both of these factors are rolled into one convenient value called the gibbs free energy . the gibbs free energy ( g ) of a system is a ... | what is the definition of gibbs free energy ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | basically , we need some kind of metric that captures the effect of a reaction on the entropy of the universe , including both the reaction system and its surroundings . conveniently , both of these factors are rolled into one convenient value called the gibbs free energy . the gibbs free energy ( g ) of a system is a ... | is free energy useful energy that can do work and do n't include the heat ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | basically , we need some kind of metric that captures the effect of a reaction on the entropy of the universe , including both the reaction system and its surroundings . conveniently , both of these factors are rolled into one convenient value called the gibbs free energy . the gibbs free energy ( g ) of a system is a ... | so free energy is energy that can do work but why ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | if a reaction both releases heat and increases entropy , it will always be spontaneous ( have a negative ∆g ) , regardless of temperature . similarly , a reaction that both absorbs heat and decreases entropy will be non-spontaneous ( positive ∆g ) at all temperatures . some reactions , however , have a mix of favorable... | is high entropy favourable , and if so , why ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | basically , we need some kind of metric that captures the effect of a reaction on the entropy of the universe , including both the reaction system and its surroundings . conveniently , both of these factors are rolled into one convenient value called the gibbs free energy . the gibbs free energy ( g ) of a system is a ... | is free energy kinetic or potential ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | on the other hand , when a reaction absorbs heat or decreases the entropy of the system , these factors make ∆g more positive . by looking at ∆h and ∆s , we can tell whether a reaction will be spontaneous , non-spontaneous , or spontaneous only at certain temperatures . if a reaction both releases heat and increases en... | how do you know the reaction speed of a non spontaneous reaction ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | when a reaction system is at equilibrium , it is in its lowest-energy state possible ( has the least possible free energy ) . if a reaction is not at equilibrium , it will move spontaneously towards equilibrium , because this allows it to reach a lower-energy , more stable state . this may mean a net movement in the fo... | is it true that a very favorable reaction is going to reach equilibrium faster than an unfavorable reaction ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | the ∆g and spontaneity of these reactions will depend on temperature , as summarized in the table at right . endergonic and exergonic reactions reactions that have a negative ∆g release free energy and are called exergonic reactions . ( handy mnemonic : exergonic means energy is exiting the system . ) | what is the difference between gibbs free energy and endothermic and exothermic reactions ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | conveniently , both of these factors are rolled into one convenient value called the gibbs free energy . the gibbs free energy ( g ) of a system is a measure of the amount of usable energy ( energy that can do work ) in that system . the change in gibbs free energy during a reaction provides useful information about th... | what is the role of free energy change in biloigical system ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | the gibbs free energy ( g ) of a system is a measure of the amount of usable energy ( energy that can do work ) in that system . the change in gibbs free energy during a reaction provides useful information about the reaction 's energetics and spontaneity ( whether it can happen without added energy ) . we can write ou... | why an endothermic reaction can be an exergonic reaction ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | the gibbs free energy ( g ) of a system is a measure of the amount of usable energy ( energy that can do work ) in that system . the change in gibbs free energy during a reaction provides useful information about the reaction 's energetics and spontaneity ( whether it can happen without added energy ) . we can write ou... | if exergonic reaction means that it does not require energy to start the reaction then why endothermic reaction absorb heat from the environment ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | conveniently , both of these factors are rolled into one convenient value called the gibbs free energy . the gibbs free energy ( g ) of a system is a measure of the amount of usable energy ( energy that can do work ) in that system . the change in gibbs free energy during a reaction provides useful information about th... | is n't heat a kind of energy as well ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | when a reaction system is at equilibrium , it is in its lowest-energy state possible ( has the least possible free energy ) . if a reaction is not at equilibrium , it will move spontaneously towards equilibrium , because this allows it to reach a lower-energy , more stable state . this may mean a net movement in the fo... | if a reaction is not at equilibrium , it will move spontaneously towards equilibrium , because this allows it to reach a lower-energy , more stable state '' but is n't this in contradiction with the second law which increases entropy in the universe ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | on the other hand , when a reaction absorbs heat or decreases the entropy of the system , these factors make ∆g more positive . by looking at ∆h and ∆s , we can tell whether a reaction will be spontaneous , non-spontaneous , or spontaneous only at certain temperatures . if a reaction both releases heat and increases en... | why is cellular respiration considered spontaneous ? |
introduction when you hear the term “ free energy , ” what do you think of ? well , if you ’ re goofy like me , maybe a gas station giving away gas . or , better yet , solar panels being used to power a household for free . there ’ s even a rock band from philadelphia called free energy ( confirming my longtime suspici... | note that temperature needs to be in kelvin ( k ) here for the equation to work properly . reactions with a negative ∆g release energy , which means that they can proceed without an energy input ( are spontaneous ) . in contrast , reactions with a positive ∆g need an input of energy in order to take place ( are non-spo... | is it because it has high levels of free energy making it more able to act without the addition of energy ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | $ \begin { align } & amp ; \phantom { = } ( q-p ) ( t ) \\ & amp ; =q ( t ) -p ( t ) \quad\small { \gray { \text { define . } } } \\ & amp ; = ( -t^2-4t-1 ) - ( 2t-1 ) \quad\small { \gray { \text { substitute . } } } \\ & amp ; =-t^2-4t-1-2t+1\quad\small { \gray { \text { distribute negative sign . | why is 4 ( -1 ) ^2 = 4 ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | convince yourself that $ f ( 1 ) +g ( 1 ) = ( f+g ) ( 1 ) $ . let 's try some practice problems . in problems 1 and 2 , let $ a ( x ) =3x^2-5x+2 $ and $ b ( x ) =x^2+8x-10 $ . | is the writing utensil used for these problems ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | let $ n $ be the total number of students receiving bachelors degrees at that college $ t $ years since 1980 . challenge problem | for the challenge question right above this forum , did they seriously just combine a linear line with a squiggly line to make a squiggly 45 degree line or actually think about what would happen when they combine ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5 $ , find $ ( f+g ) ( x ) $ . solution the most difficult part of combining functions is understanding the notation . | in the first question , if g ( x ) = x^2-2x+5 then how does g ( 1 ) = 4 ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | from the first graph , we can see that $ f ( 2 ) =\greend 3 $ and that $ g ( 2 ) =\blued 5 $ . from the second graph , we can see that $ ( f+g ) ( 2 ) =\goldd 8 $ . so $ f ( 2 ) +g ( 2 ) = ( f+g ) ( 2 ) $ because $ \greend { 3 } +\blued { 5 } =\goldd { 8 } $ . | how are the graph plotted ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . | okay , i understood how to add and subtract functions when given the equations but , how does one subtract equations when given a set of ordered pairs of coordinates ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5 $ , find $ ( f+g ) ( x ) $ . solution the most difficult part of combining functions is understanding the notation . | if the x is not being factored , is ( f+g ) ( x ) just an easier way of saying f ( x ) +g ( x ) ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | from the second graph , we can see that $ ( f+g ) ( 2 ) =\goldd 8 $ . so $ f ( 2 ) +g ( 2 ) = ( f+g ) ( 2 ) $ because $ \greend { 3 } +\blued { 5 } =\goldd { 8 } $ . now you try it . | in problem 3 , why ca n't i simplify 3n^2+7n^2 to 10n^2 ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | from the first graph , we can see that $ f ( 2 ) =\greend 3 $ and that $ g ( 2 ) =\blued 5 $ . from the second graph , we can see that $ ( f+g ) ( 2 ) =\goldd 8 $ . so $ f ( 2 ) +g ( 2 ) = ( f+g ) ( 2 ) $ because $ \greend { 3 } +\blued { 5 } =\goldd { 8 } $ . | how do i know where my y coordinate is when i 'm putting a function to a graph ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . | what is the equation format for waves ? |
just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . adding two functions example let 's look at an example to see how this works . given that $ f ( x ) =x+1 $ and $ g ( x ) =x^2-2x+5... | just like we can add and subtract numbers , we can add and subtract functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f+g $ and $ f-g $ . | how do you enter an exponent ? |
let ’ s go to a chemistry lab and conduct a simple experiment . as shown below , we have two solutions - 50 ml of a and 50 ml of b respectively a solution of 0.2m hydrochloric acid ( hcl ) a solution of 0.2m sodium hydroxide ( naoh ) ph meter to measure ph of the solution experiment 1 : the ph of solution a is 7.0 i.e ... | let ’ s go to a chemistry lab and conduct a simple experiment . as shown below , we have two solutions - 50 ml of a and 50 ml of b respectively a solution of 0.2m hydrochloric acid ( hcl ) a solution of 0.2m sodium hydroxide ( naoh ) ph meter to measure ph of the solution experiment 1 : the ph of solution a is 7.0 i.e ... | i thought , could this be related to why patients who have ketoacidosis feel short of breath or tachypneic ? |
let ’ s go to a chemistry lab and conduct a simple experiment . as shown below , we have two solutions - 50 ml of a and 50 ml of b respectively a solution of 0.2m hydrochloric acid ( hcl ) a solution of 0.2m sodium hydroxide ( naoh ) ph meter to measure ph of the solution experiment 1 : the ph of solution a is 7.0 i.e ... | buffers are considered to be effective when the ratio of [ ha ] to [ a $ ^\text { - } $ ] ranges anywhere between 10:1 and 1:10 . buffering system of blood maintaining a constant blood ph is critical for the proper functioning of our body . the buffer that maintains the ph of human blood involves a carbonic acid ( h $ ... | a change in blood ph causes which diseases ? |
let ’ s go to a chemistry lab and conduct a simple experiment . as shown below , we have two solutions - 50 ml of a and 50 ml of b respectively a solution of 0.2m hydrochloric acid ( hcl ) a solution of 0.2m sodium hydroxide ( naoh ) ph meter to measure ph of the solution experiment 1 : the ph of solution a is 7.0 i.e ... | a buffer is essentially prepared in two ways mixing a large volume of a weak acid with its conjugate base ( eg . acetic acid – acetate ion , ch $ { 3 } $ cooh – ch $ { 3 } $ coo $ ^\text { - } $ ) mixing a large volume of weak base with its conjugate acid ( eg . ammonia – ammonium ion , nh $ { 3 } $ – nh $ { 4 } $ $ ^\... | where is the h3o+ coming from , and how do you know where to plug in the acid/base ? |
let ’ s go to a chemistry lab and conduct a simple experiment . as shown below , we have two solutions - 50 ml of a and 50 ml of b respectively a solution of 0.2m hydrochloric acid ( hcl ) a solution of 0.2m sodium hydroxide ( naoh ) ph meter to measure ph of the solution experiment 1 : the ph of solution a is 7.0 i.e ... | let ’ s go to a chemistry lab and conduct a simple experiment . as shown below , we have two solutions - 50 ml of a and 50 ml of b respectively a solution of 0.2m hydrochloric acid ( hcl ) a solution of 0.2m sodium hydroxide ( naoh ) ph meter to measure ph of the solution experiment 1 : the ph of solution a is 7.0 i.e ... | is the hyperventilation and hypoventilation a respons ? |
let ’ s go to a chemistry lab and conduct a simple experiment . as shown below , we have two solutions - 50 ml of a and 50 ml of b respectively a solution of 0.2m hydrochloric acid ( hcl ) a solution of 0.2m sodium hydroxide ( naoh ) ph meter to measure ph of the solution experiment 1 : the ph of solution a is 7.0 i.e ... | but this slight change in the concentrations of the two components of the buffering system doesn ’ t have any adverse effect ; the critical thing is that this buffering mechanism prevents the blood from becoming acidic or basic , which can be detrimental . the ph of blood is maintained at ~ 7.4 by the carbonic acid – b... | do the levels of bicarbonate and carbonic acid ever return to equal or do they forever fluctuate ? |
let ’ s go to a chemistry lab and conduct a simple experiment . as shown below , we have two solutions - 50 ml of a and 50 ml of b respectively a solution of 0.2m hydrochloric acid ( hcl ) a solution of 0.2m sodium hydroxide ( naoh ) ph meter to measure ph of the solution experiment 1 : the ph of solution a is 7.0 i.e ... | but this slight change in the concentrations of the two components of the buffering system doesn ’ t have any adverse effect ; the critical thing is that this buffering mechanism prevents the blood from becoming acidic or basic , which can be detrimental . the ph of blood is maintained at ~ 7.4 by the carbonic acid – b... | even if ph levels are maintained , could high levels of either bicarbonate and carbonic acid be dangerous ? |
let ’ s go to a chemistry lab and conduct a simple experiment . as shown below , we have two solutions - 50 ml of a and 50 ml of b respectively a solution of 0.2m hydrochloric acid ( hcl ) a solution of 0.2m sodium hydroxide ( naoh ) ph meter to measure ph of the solution experiment 1 : the ph of solution a is 7.0 i.e ... | so now we have an understanding of how a buffer neutralizes the hydronium ions or the hydroxide ions to resist a change in the ph upon the addition of a strong acid or a strong base respectively . buffer capacity of a buffer let ’ s assume our buffer is made up of a weak acid ( ha ) and its conjugate base ( a $ ^\text ... | why have a weak acid buffer a solution as opposed to a weak base ? |
mean , median , and mode mean , median , and mode are different measures of center in a numerical data set . they each try to summarize a dataset with a single number to represent a `` typical '' data point from the dataset . mean : the `` average '' number ; found by adding all data points and dividing by the number o... | mean , median , and mode mean , median , and mode are different measures of center in a numerical data set . they each try to summarize a dataset with a single number to represent a `` typical '' data point from the dataset . | is there any formula for figuring out the median ? |
overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . wilson was a progressive democrat who believed in the power of the federal government to expose corruption , regulate the economy , eliminate unethical business practices , and improve the general c... | overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . | were there any specific benefits for the country during his presidency ? |
overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . wilson was a progressive democrat who believed in the power of the federal government to expose corruption , regulate the economy , eliminate unethical business practices , and improve the general c... | why was wilson ultimately unable to keep the united states out of the first world war ? how would you rate wilson as a president ? | how would you rate wilson as a president ? |
overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . wilson was a progressive democrat who believed in the power of the federal government to expose corruption , regulate the economy , eliminate unethical business practices , and improve the general c... | wilson was a progressive democrat who believed in the power of the federal government to expose corruption , regulate the economy , eliminate unethical business practices , and improve the general condition of society . during wilson ’ s years in office , the us federal government was segregated and the ku klux klan ex... | so , how come when wilson aligned himself with the kkk , the people did n't push him out of office ? |
overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . wilson was a progressive democrat who believed in the power of the federal government to expose corruption , regulate the economy , eliminate unethical business practices , and improve the general c... | though wilson campaigned on the slogan “ he kept us out of war , ” escalating german aggression ultimately made it impossible for the united states to stay out of the conflict . woodrow wilson ’ s rise to power woodrow wilson was born in staunton , virginia in 1856 to a very religious family . his father was one of the... | did woodrow wilson choose to be racist just against the now , african americans ? |
overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . wilson was a progressive democrat who believed in the power of the federal government to expose corruption , regulate the economy , eliminate unethical business practices , and improve the general c... | overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . | is woodrow wilson a good president that helped black people or is he a bad president that help the kkk kill and hurt black people ? |
overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . wilson was a progressive democrat who believed in the power of the federal government to expose corruption , regulate the economy , eliminate unethical business practices , and improve the general c... | though wilson campaigned on the slogan “ he kept us out of war , ” escalating german aggression ultimately made it impossible for the united states to stay out of the conflict . woodrow wilson ’ s rise to power woodrow wilson was born in staunton , virginia in 1856 to a very religious family . his father was one of the... | how old would woodrow wilson be today ? |
overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . wilson was a progressive democrat who believed in the power of the federal government to expose corruption , regulate the economy , eliminate unethical business practices , and improve the general c... | during these years , the ku klux klan experienced a major revival . president wilson aligned himself symbolically with the kkk by ordering a private screening of d.w. griffith ’ s notoriously racist film birth of a nation , which portrayed african americans as savage criminals and the kkk as heroic enforcers of a just ... | still , is n't it important to get the wording right so that the conversation on his association with the kkk is n't built on a false premise ? |
overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . wilson was a progressive democrat who believed in the power of the federal government to expose corruption , regulate the economy , eliminate unethical business practices , and improve the general c... | overview woodrow wilson was the 28th president of the united states . he served two terms in office , from 1913 to 1921 . | do you believe racism still exists today ? |
overview richard nixon was elected president in 1968 , a tumultuous year that witnessed the assassinations of martin luther king , jr. and robert f. kennedy , as well as the splintering of the democratic party . nixon ’ s presidential campaign sought to appeal to what it deemed the “ silent majority , ” those middle-cl... | overview richard nixon was elected president in 1968 , a tumultuous year that witnessed the assassinations of martin luther king , jr. and robert f. kennedy , as well as the splintering of the democratic party . nixon ’ s presidential campaign sought to appeal to what it deemed the “ silent majority , ” those middle-cl... | what exactly is the watergate scandal ? |
overview richard nixon was elected president in 1968 , a tumultuous year that witnessed the assassinations of martin luther king , jr. and robert f. kennedy , as well as the splintering of the democratic party . nixon ’ s presidential campaign sought to appeal to what it deemed the “ silent majority , ” those middle-cl... | he ran in a three-way race against republican richard nixon and alabama governor george wallace , a southern segregationist who ran as an independent and sought to capitalize on white backlash against the gains of the civil rights movement . richard nixon ’ s presidential campaign into the chaos of 1968 stepped richard... | did nixon inspire great people today ? |
overview richard nixon was elected president in 1968 , a tumultuous year that witnessed the assassinations of martin luther king , jr. and robert f. kennedy , as well as the splintering of the democratic party . nixon ’ s presidential campaign sought to appeal to what it deemed the “ silent majority , ” those middle-cl... | overview richard nixon was elected president in 1968 , a tumultuous year that witnessed the assassinations of martin luther king , jr. and robert f. kennedy , as well as the splintering of the democratic party . nixon ’ s presidential campaign sought to appeal to what it deemed the “ silent majority , ” those middle-cl... | what led to his resignation ? |
the key to solving exponential equations lies in logarithms ! let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . to do this , divide both sid... | let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . to do this , divide both sides by $ 5 $ as shown below . | how would you solve for an unknown when it 's not the exponent ? |
the key to solving exponential equations lies in logarithms ! let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . to do this , divide both sid... | let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . | how to solve ln equations without a calculator ? |
the key to solving exponential equations lies in logarithms ! let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . to do this , divide both sid... | to approximate the answer to the nearest thousandth , we can type this directly into the calculator . notice here that there is no need to change the base since it is already in base $ 10 $ . $ \begin { align } x & amp ; =\dfrac { ~ { \log_ { 10 } ( 8 ) } } { 2 } \\\\ & amp ; = \dfrac { ~ { \log ( 8 ) } } { 2 } & amp ;... | is `` e '' as in # 3 the same as base 10 ? |
the key to solving exponential equations lies in logarithms ! let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . to do this , divide both sid... | to approximate the answer to the nearest thousandth , we can type this directly into the calculator . notice here that there is no need to change the base since it is already in base $ 10 $ . $ \begin { align } x & amp ; =\dfrac { ~ { \log_ { 10 } ( 8 ) } } { 2 } \\\\ & amp ; = \dfrac { ~ { \log ( 8 ) } } { 2 } & amp ;... | log27to the base12=a then the value of log16 to the base 6 is ? |
the key to solving exponential equations lies in logarithms ! let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . to do this , divide both sid... | to approximate the answer to the nearest thousandth , we can type this directly into the calculator . notice here that there is no need to change the base since it is already in base $ 10 $ . $ \begin { align } x & amp ; =\dfrac { ~ { \log_ { 10 } ( 8 ) } } { 2 } \\\\ & amp ; = \dfrac { ~ { \log ( 8 ) } } { 2 } & amp ;... | what if the base is unknown ? |
the key to solving exponential equations lies in logarithms ! let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . to do this , divide both sid... | we do not multiply the $ 5 $ and the $ 2 $ as this goes against the order of operations ! $ \begin { align } 5\cdot 2^x & amp ; =240 \\ 2^x & amp ; =48 \ \end { align } $ now , we can solve for $ x $ by converting the equation to logarithmic form . $ \blued { 2 } ^\greend x= \goldd { 48 } $ is equivalent to $ \log_ { \... | how do you solve ( 1/5 ) log base 3 ( x ) = 0 for x ? |
the key to solving exponential equations lies in logarithms ! let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . to do this , divide both sid... | we do not multiply the $ 5 $ and the $ 2 $ as this goes against the order of operations ! $ \begin { align } 5\cdot 2^x & amp ; =240 \\ 2^x & amp ; =48 \ \end { align } $ now , we can solve for $ x $ by converting the equation to logarithmic form . $ \blued { 2 } ^\greend x= \goldd { 48 } $ is equivalent to $ \log_ { \... | 1.4log273/x = 0.4log0.1 then what is the value of x ? |
the key to solving exponential equations lies in logarithms ! let 's take a closer look by working through some examples . solving exponential equations of the form $ a\cdot b^x=d $ example solve $ 5\cdot 2^x=240 $ . solution to solve for $ x $ , we must first isolate the exponential part . to do this , divide both sid... | to approximate the answer to the nearest thousandth , we can type this directly into the calculator . notice here that there is no need to change the base since it is already in base $ 10 $ . $ \begin { align } x & amp ; =\dfrac { ~ { \log_ { 10 } ( 8 ) } } { 2 } \\\\ & amp ; = \dfrac { ~ { \log ( 8 ) } } { 2 } & amp ;... | what exactly is going on when you have to change the base rule ? |
key points gross national product , or gnp , includes what is produced domestically and what is produced by domestic labor and business abroad in a year . national income includes all income earned : wages , profits , rent , and profit income . net national product , or nnp , is gnp minus depreciation . depreciation is... | key points gross national product , or gnp , includes what is produced domestically and what is produced by domestic labor and business abroad in a year . national income includes all income earned : wages , profits , rent , and profit income . net national product , or nnp , is gnp minus depreciation . | what is the difference of national income and personal income ? |
key points gross national product , or gnp , includes what is produced domestically and what is produced by domestic labor and business abroad in a year . national income includes all income earned : wages , profits , rent , and profit income . net national product , or nnp , is gnp minus depreciation . depreciation is... | the process by which capital ages and loses value is called depreciation . the nnp can be further subdivided into national income , which includes all income to businesses and individuals and personal income , which includes only income to people . for practical purposes , it is not vital to memorize these definitions ... | is there a difference between income to individuals and income to people ? |
key points gross national product , or gnp , includes what is produced domestically and what is produced by domestic labor and business abroad in a year . national income includes all income earned : wages , profits , rent , and profit income . net national product , or nnp , is gnp minus depreciation . depreciation is... | key points gross national product , or gnp , includes what is produced domestically and what is produced by domestic labor and business abroad in a year . national income includes all income earned : wages , profits , rent , and profit income . net national product , or nnp , is gnp minus depreciation . | are they mutually exclusive sets or is personal income a subset of national income ? |
key points gross national product , or gnp , includes what is produced domestically and what is produced by domestic labor and business abroad in a year . national income includes all income earned : wages , profits , rent , and profit income . net national product , or nnp , is gnp minus depreciation . depreciation is... | key points gross national product , or gnp , includes what is produced domestically and what is produced by domestic labor and business abroad in a year . national income includes all income earned : wages , profits , rent , and profit income . net national product , or nnp , is gnp minus depreciation . | in the national income and product accounts , personal income is calculated by subtracting from national income any income earned but not received and adding back in any income received but not earned ? |
introduction can you solve the equation $ \log_2 ( x+4 ) =3-x $ ? would any of the algebraic techniques you 've learned so far work for this equation ? try as you may , you will find that solving $ \log_2 ( x+4 ) =3-x $ algebraically is a difficult task ! this article explores a simple graphing method that can be used ... | this article explores a simple graphing method that can be used to approximate solutions to equations that can not be solved directly . let 's make a system thinking about the equation as a system of equations gives us insight into how we can solve the equation graphically . so , let 's turn the original equation into ... | when i plug in a specific equation that has a log in it , and the base of the log is n't ten , how do i plug that into my calculator if i do n't have the change base option ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | they initially established their fortune in the wool trade and then branched out into banking . as the family achieved wealth and power , they promoted such artists as filippo lippi , sandro botticelli , and michelangelo—not to mention producing four popes and two regent queens of france . would such mobility have been... | where can we find pronunciations of artists names ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | he also lost his wife . the plague hit hard and fast . people lay ill little more than two or three days and died suddenly….he who was well one day was dead the next and being carried to his grave , ” writes the carmelite friar jean de venette in his 14th century french chronicle . | why did this plague affect people in the armpits and groins ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | he also lost his wife . the plague hit hard and fast . people lay ill little more than two or three days and died suddenly….he who was well one day was dead the next and being carried to his grave , ” writes the carmelite friar jean de venette in his 14th century french chronicle . | so the black plague came from china ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | he also lost his wife . the plague hit hard and fast . people lay ill little more than two or three days and died suddenly….he who was well one day was dead the next and being carried to his grave , ” writes the carmelite friar jean de venette in his 14th century french chronicle . | do we have records from a similar `` black plague '' epidemic in chinese or asian history ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | people struggled to understand what was happening . in western europe a terrified populace often turned to their christian faith . as a result , the church became wealthier as many of those stricken , in an effort to assure a place in heaven , willed their property to the church . | also , was the byzantine empire devastated too , or was western europe the hardest hit part in the whole world ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | he also lost his wife . the plague hit hard and fast . people lay ill little more than two or three days and died suddenly….he who was well one day was dead the next and being carried to his grave , ” writes the carmelite friar jean de venette in his 14th century french chronicle . | how did the plague help lead to the decline of feudalism ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | as some pointed to the “ astrological skies that revealed saturn in the house of jupiter ” as the cause of the tragedy . did the black death contribute to the renaissance ? the black death radically disrupted society , but did the social , political and religious upheaval created by the plague contribute to the renaiss... | are you saying that christianity made things worse for the black death ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | as some pointed to the “ astrological skies that revealed saturn in the house of jupiter ” as the cause of the tragedy . did the black death contribute to the renaissance ? the black death radically disrupted society , but did the social , political and religious upheaval created by the plague contribute to the renaiss... | what was the effect of the black death on demography ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | some historians say yes . with so much land readily available to survivors , the rigid hierarchical structure that marked pre-plague society became more fluid . the medici family , important patrons of italian renaissance culture , originated in the rural area of mugello in tuscany and moved to florence soon after the ... | why was milan and poland not really affected much ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | as some pointed to the “ astrological skies that revealed saturn in the house of jupiter ” as the cause of the tragedy . did the black death contribute to the renaissance ? the black death radically disrupted society , but did the social , political and religious upheaval created by the plague contribute to the renaiss... | why did the black death happen ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | but the authority of the church also suffered . as some pointed to the “ astrological skies that revealed saturn in the house of jupiter ” as the cause of the tragedy . did the black death contribute to the renaissance ? | yeah why would the planet saturn which is named after a pagan god of time and agriculture be the cause of the plague and is n't jupiter his son ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | 1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . | what were the effects of the great schism ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | as some pointed to the “ astrological skies that revealed saturn in the house of jupiter ” as the cause of the tragedy . did the black death contribute to the renaissance ? the black death radically disrupted society , but did the social , political and religious upheaval created by the plague contribute to the renaiss... | is the black death also referred to as the black plague ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | as some pointed to the “ astrological skies that revealed saturn in the house of jupiter ” as the cause of the tragedy . did the black death contribute to the renaissance ? the black death radically disrupted society , but did the social , political and religious upheaval created by the plague contribute to the renaiss... | how did the europeans revive from the black death ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | widespread death eroded the strict hereditary class divisions that had , for centuries , bound peasants to land owned by local lords . people struggled to understand what was happening . in western europe a terrified populace often turned to their christian faith . | how do people react to chaos ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | as some pointed to the “ astrological skies that revealed saturn in the house of jupiter ” as the cause of the tragedy . did the black death contribute to the renaissance ? the black death radically disrupted society , but did the social , political and religious upheaval created by the plague contribute to the renaiss... | why do historians believe caffa made a significant contribution to the spread of the black death ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | as some pointed to the “ astrological skies that revealed saturn in the house of jupiter ” as the cause of the tragedy . did the black death contribute to the renaissance ? the black death radically disrupted society , but did the social , political and religious upheaval created by the plague contribute to the renaiss... | did the black/death plague had two names ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | a victim first experiences flu-like symptoms , and then sees a “ swell beneath their armpits and in their groins. ” agnolo himself buried his five children with his own hands . he also lost his wife . the plague hit hard and fast . | is pestis also part of the plague ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | as some pointed to the “ astrological skies that revealed saturn in the house of jupiter ” as the cause of the tragedy . did the black death contribute to the renaissance ? the black death radically disrupted society , but did the social , political and religious upheaval created by the plague contribute to the renaiss... | why is the black death considered a central event that exarcebated the renaissance in europe ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | most of the rest of europe followed in short order . the disease spread along the active trade routes that northern italian and flemish merchants had developed . london and bruges then communicated the disease via busy shipping lanes to the nordic countries and the baltic region ( aided by a trading partnership known a... | historians believe that the black death first spread along which trade route ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | the black death radically disrupted society , but did the social , political and religious upheaval created by the plague contribute to the renaissance ? some historians say yes . with so much land readily available to survivors , the rigid hierarchical structure that marked pre-plague society became more fluid . | how did historians know that the plague originated from china ? |
1348 the black death arrived on european shores in 1348 . by 1350 , the year it retreated , it had felled a quarter to half of the region ’ s population . in 1362 , 1368 , and 1381 , it struck again—as it would periodically well into the 18th century . the contemporary sienese chronicler , agnolo di tura del grasso , d... | he also lost his wife . the plague hit hard and fast . people lay ill little more than two or three days and died suddenly….he who was well one day was dead the next and being carried to his grave , ” writes the carmelite friar jean de venette in his 14th century french chronicle . | what symptoms showed that you had been infected with the plague ? |
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