context stringlengths 545 71.9k | questionsrc stringlengths 16 10.2k | question stringlengths 11 563 |
|---|---|---|
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | `` ` var createcuboid = function ( x , y , z , w , h , d ) { var nodes = ; var edges = ; return { 'nodes ' : nodes , 'edges ' : edges } ; } ; `` ` we can then create a cuboid with width 100 , height 160 , depth 50 and one node on the origin like this : var shape = createcuboid ( 0 , 0 , 0 , 100 , 160 , 50 ) ; since our... | how come the shapes rotate as one object and not individually around their respective origins ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | start by wrapping the code to display edges in a for loop that loops through all the shapes : // draw edges stroke ( edgecolor ) ; for ( var shapenum = 0 ; shapenum & lt ; shapes.length ; shapenum++ ) { var nodes = shapes [ shapenum ] .nodes ; var edges = shapes [ shapenum ] .edges ; for ( var e = 0 ; e & lt ; edges.le... | what do pmousex and pmousey mean ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | var shape1 = createcuboid ( -120 , -20 , -20 , 240 , 40 , 40 ) ; var shape2 = createcuboid ( -120 , -50 , -30 , -20 , 100 , 60 ) ; var shape3 = createcuboid ( 120 , -50 , -30 , 20 , 100 , 60 ) ; var shapes = [ shape1 , shape2 , shape3 ] ; now we need to change the display and rotate functions to work with an array of o... | is there a way to change the size of the objects without it reverting back to ( 0 , 0 ) being the rotating point ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | we define the nodes as being every combination of position with or without the corresponding dimension . edges are defined the same way as before ( except rather than define each of the edges individually first , i define them all at once ) . note that this function allows you to specify negative dimensions for the cub... | is there any `` easy '' way to make a 3d rect ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | in other words , we want a function that maps a position and dimensions into an array of nodes and an array of edges . defining a cuboid a cuboid has three dimensions : width , height and depth : it also has a position in 3d space , giving us six parameters . there are a couple of ways we could define the position of t... | almost like how we call rect ( x , y , width , height ) ; , but in 3d , so like 3drect ( x , y , width , height , depth ) ; ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | in other words , we want a function that maps a position and dimensions into an array of nodes and an array of edges . defining a cuboid a cuboid has three dimensions : width , height and depth : it also has a position in 3d space , giving us six parameters . there are a couple of ways we could define the position of t... | how can i put something within a 3d object ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | note , you can use any string to refer to the variable , i just find it easier to use the same word . // create a cuboid with a vertex at ( x , y , z ) // with width , w , height , h , and depth , d. var createcuboid = function ( x , y , z , w , h , d ) { var nodes = [ ] ; var edges = [ ] ; var shape = { 'nodes ' : nod... | what is var edge mean ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | `` ` var createcuboid = function ( x , y , z , w , h , d ) { var nodes = ; var edges = ; return { 'nodes ' : nodes , 'edges ' : edges } ; } ; `` ` we can then create a cuboid with width 100 , height 160 , depth 50 and one node on the origin like this : var shape = createcuboid ( 0 , 0 , 0 , 100 , 160 , 50 ) ; since our... | can you still make 3d shapes move just like you can with any other variable ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | start by wrapping the code to display edges in a for loop that loops through all the shapes : // draw edges stroke ( edgecolor ) ; for ( var shapenum = 0 ; shapenum & lt ; shapes.length ; shapenum++ ) { var nodes = shapes [ shapenum ] .nodes ; var edges = shapes [ shapenum ] .edges ; for ( var e = 0 ; e & lt ; edges.le... | if i wanted to make a nurbs figure , should i figure out first how to make a brezier curve and then i just need to rotate the vertex as we have been doing here ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dimensions . in other words , we want a function that maps a position and dimensions into an array of nodes and an array of edges . | how to create 3d pyramid ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | start by wrapping the code to display edges in a for loop that loops through all the shapes : // draw edges stroke ( edgecolor ) ; for ( var shapenum = 0 ; shapenum & lt ; shapes.length ; shapenum++ ) { var nodes = shapes [ shapenum ] .nodes ; var edges = shapes [ shapenum ] .edges ; for ( var e = 0 ; e & lt ; edges.le... | at the end of the talk-through , how come he puts nodes as a parameter for the rotatex/y/z3d functions , as well as in the mousedragged ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | note that this function allows you to specify negative dimensions for the cuboid . `` ` var createcuboid = function ( x , y , z , w , h , d ) { var nodes = ; var edges = ; return { 'nodes ' : nodes , 'edges ' : edges } ; } ; `` ` we can then create a cuboid with width 100 , height 160 , depth 50 and one node on the ori... | hello , what does return { 'nodes ' : nodes , 'edges ' : edges } ; this do ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? | what does the `` : '' and the single apostrophe do ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dimensions . | how would you rotate the cube in respect to the center ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | in other words , we want a function that maps a position and dimensions into an array of nodes and an array of edges . defining a cuboid a cuboid has three dimensions : width , height and depth : it also has a position in 3d space , giving us six parameters . there are a couple of ways we could define the position of t... | ok so i 've learned to make 3d cubes , boxes and other rectangular things , but what about 3d spheres and ellipses how do i make them ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | note that this function allows you to specify negative dimensions for the cuboid . `` ` var createcuboid = function ( x , y , z , w , h , d ) { var nodes = ; var edges = ; return { 'nodes ' : nodes , 'edges ' : edges } ; } ; `` ` we can then create a cuboid with width 100 , height 160 , depth 50 and one node on the ori... | in this segment of code : // create a cuboid with a vertex at ( x , y , z ) // with width , w , height , h , and depth , d. var createcuboid = function ( x , y , z , w , h , d ) { var nodes = [ ] ; var edges = [ ] ; var shape = { 'nodes ' : nodes , 'edges ' : edges } ; return shape ; } ; i do n't understand the line va... |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | var shape1 = createcuboid ( -120 , -20 , -20 , 240 , 40 , 40 ) ; var shape2 = createcuboid ( -120 , -50 , -30 , -20 , 100 , 60 ) ; var shape3 = createcuboid ( 120 , -50 , -30 , 20 , 100 , 60 ) ; var shapes = [ shape1 , shape2 , shape3 ] ; now we need to change the display and rotate functions to work with an array of o... | var nodes = shapes [ obj ] .nodes ; should n't obj be shapenum like it is in the full program ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | note , you can use any string to refer to the variable , i just find it easier to use the same word . // create a cuboid with a vertex at ( x , y , z ) // with width , w , height , h , and depth , d. var createcuboid = function ( x , y , z , w , h , d ) { var nodes = [ ] ; var edges = [ ] ; var shape = { 'nodes ' : nod... | how would you make a 3d shape like the green doughnut shape in what are 3d shapes ? |
so we have a cube now , but what if we want to change its position or size ? or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dim... | or what if we want a rectangular cuboid or many cuboids ? with our current code , we would have to change the nodes one-by-one , which would be nuisance . what we would like is a simple method to create a cuboid with a certain position and dimensions . | can someone explain why that would be happening if possible ? |
popular culture , `` popular '' art at first glance , pop art might seem to glorify popular culture by elevating soup cans , comic strips and hamburgers to the status of fine art on the walls of museums . but , then again , a second look may suggest a critique of the mass marketing practices and consumer culture that e... | popular culture , `` popular '' art at first glance , pop art might seem to glorify popular culture by elevating soup cans , comic strips and hamburgers to the status of fine art on the walls of museums . but , then again , a second look may suggest a critique of the mass marketing practices and consumer culture that e... | why is pop art so popular , even in today 's world ? |
popular culture , `` popular '' art at first glance , pop art might seem to glorify popular culture by elevating soup cans , comic strips and hamburgers to the status of fine art on the walls of museums . but , then again , a second look may suggest a critique of the mass marketing practices and consumer culture that e... | popular culture , `` popular '' art at first glance , pop art might seem to glorify popular culture by elevating soup cans , comic strips and hamburgers to the status of fine art on the walls of museums . but , then again , a second look may suggest a critique of the mass marketing practices and consumer culture that e... | in paragraph one , are the saying that warhol made these pieces because of mass production , or that his work seems related ? |
popular culture , `` popular '' art at first glance , pop art might seem to glorify popular culture by elevating soup cans , comic strips and hamburgers to the status of fine art on the walls of museums . but , then again , a second look may suggest a critique of the mass marketing practices and consumer culture that e... | warhol began making silkscreens , before removing himself further from the process by having others do the actual printing in his studio , aptly named “ the factory. ” similarly , oldenburg abandoned his early installations and performances , to produce the large-scale sculptures of cake slices , lipsticks , and clothe... | is pop art the most populare type of art ? |
popular culture , `` popular '' art at first glance , pop art might seem to glorify popular culture by elevating soup cans , comic strips and hamburgers to the status of fine art on the walls of museums . but , then again , a second look may suggest a critique of the mass marketing practices and consumer culture that e... | warhol began making silkscreens , before removing himself further from the process by having others do the actual printing in his studio , aptly named “ the factory. ” similarly , oldenburg abandoned his early installations and performances , to produce the large-scale sculptures of cake slices , lipsticks , and clothe... | what technically counts as pop art ? |
popular culture , `` popular '' art at first glance , pop art might seem to glorify popular culture by elevating soup cans , comic strips and hamburgers to the status of fine art on the walls of museums . but , then again , a second look may suggest a critique of the mass marketing practices and consumer culture that e... | significantly , the development of television , as well as changes in print advertising , placed new emphasis on graphic images and recognizable brand logos—something that we now take for granted in our visually saturated world . it was in this artistic and cultural context that pop artists developed their distinctive ... | is pop surrealism ( my preferred style ) also in the same category ? |
popular culture , `` popular '' art at first glance , pop art might seem to glorify popular culture by elevating soup cans , comic strips and hamburgers to the status of fine art on the walls of museums . but , then again , a second look may suggest a critique of the mass marketing practices and consumer culture that e... | warhol began making silkscreens , before removing himself further from the process by having others do the actual printing in his studio , aptly named “ the factory. ” similarly , oldenburg abandoned his early installations and performances , to produce the large-scale sculptures of cake slices , lipsticks , and clothe... | was there a group of people against pop art ? |
who is depicted here ? this relief scene from around 100 to 300 depicts the dream of maya , the mother of the historical buddha . queen maya is asleep in her palace under a full moon . an attendant stands guard outside . in her dream , a white elephant enters her side . this is a miraculous conception that results in t... | who is depicted here ? this relief scene from around 100 to 300 depicts the dream of maya , the mother of the historical buddha . queen maya is asleep in her palace under a full moon . an attendant stands guard outside . | or were `` miraculous conception '' stories popular in this era , the annunciation and queen maya 's dream being two prominent examples ? |
who is depicted here ? this relief scene from around 100 to 300 depicts the dream of maya , the mother of the historical buddha . queen maya is asleep in her palace under a full moon . an attendant stands guard outside . in her dream , a white elephant enters her side . this is a miraculous conception that results in t... | this scene , along with others from the life of the buddha , would have been recognizable to viewers at the time it was made , as the scenes from the life of christ on the walls of a cathedral would have been familiar to medieval european viewers . what other scenes from the life of the buddha are important ? several s... | be the starting point of producing a face on buddha ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | since p53 acts by binding to target genes and activating their transcription , the non-binding mutant protein is unable to do its job $ ^ { 14 } $ . when p53 is defective , a cell with damaged dna may proceed with cell division . the daughter cells of such a division are likely to inherit mutations due to the unrepaire... | how does dna get damaged in the first place ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | over time , a mutation might take place in one of the descendant cells , causing increased activity of a positive cell cycle regulator . the mutation might not cause cancer by itself either , but the offspring of this cell would divide even faster , creating a larger pool of cells in which a third mutation could take p... | could you make a cancer-like cell , or rather a cell that has a mutation that makes it and its offspring grow into a neoplasm , and have their mutation be good ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | we 'll also see how abnormal forms of cell cycle regulators can contribute to cancer . what ’ s wrong with cancer cells ? cancer cells behave differently than normal cells in the body . many of these differences are related to cell division behavior . | the article says that cancer cells are known to be immortal , so if that 's the case , could you use `` good '' neoplasms to fight cancerous ones that would later form tumors ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | over generations , cells with faulty p53 tend to accumulate mutations , some of which may turn proto-oncogenes to oncogenes or inactivate other tumor suppressors . p53 is the gene most commonly mutated in human cancers , and cancer cells without p53 mutations likely inactivate p53 through other mechanisms ( e.g. , incr... | why not engineer a retrovirus to insert an extra copy of the p53 gene ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | over generations , cells with faulty p53 tend to accumulate mutations , some of which may turn proto-oncogenes to oncogenes or inactivate other tumor suppressors . p53 is the gene most commonly mutated in human cancers , and cancer cells without p53 mutations likely inactivate p53 through other mechanisms ( e.g. , incr... | first as a treatment for people with a dangerous cancer , then try it on people who have only one working copy of p53 ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | in addition , emerging research shows that cancer cells may undergo metabolic changes that support increased cell growth and division $ ^5 $ . how cancer develops cells have many different mechanisms to restrict cell division , repair dna damage , and prevent the development of cancer . because of this , it ’ s thought... | how is cancer formed or cuased ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | in addition , emerging research shows that cancer cells may undergo metabolic changes that support increased cell growth and division $ ^5 $ . how cancer develops cells have many different mechanisms to restrict cell division , repair dna damage , and prevent the development of cancer . because of this , it ’ s thought... | besides chemo and radiation , what other cures are there for cancer ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | in general , however , mutations of two types of cell cycle regulators may promote the development of cancer : positive regulators may be overactivated ( become oncogenic ) , while negative regulators , also called tumor suppressors , may be inactivated . oncogenes positive cell cycle regulators may be overactive in ca... | so , how long does cancer cell cycle take compared to normal cell ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | in addition , emerging research shows that cancer cells may undergo metabolic changes that support increased cell growth and division $ ^5 $ . how cancer develops cells have many different mechanisms to restrict cell division , repair dna damage , and prevent the development of cancer . because of this , it ’ s thought... | can cancer become so cancerous that kills itself ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | these genes encode proteins that sense and repair dna damage , intercept dna-binding chemicals , maintain the telomere caps on the ends of chromosomes , and play other key maintenance roles $ ^9 $ . if one of these genes is mutated and nonfunctional , other mutations can accumulate rapidly . so , if a cell has a nonfun... | could so many mutations accumulate that it would not be able to divide anymore ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | this naming system reflects that a normal proto-oncogene can turn into an oncogene if it mutates in a way that increases its activity . mutations that turn proto-oncogenes into oncogenes can take different forms . some change the amino acid sequence of the protein , altering its shape and trapping it in an “ always on ... | are n't there two types of oncogenes that can occur ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | cancer cells can divide many more times than this , largely because they express an enzyme called telomerase , which reverses the wearing down of chromosome ends that normally happens during each cell division $ ^4 $ . cancer cells are also different from normal cells in other ways that aren ’ t directly cell cycle-rel... | how would scientists use techniques of counting cells in different stages of he cell cycle like you did in this lab to determine the effectiveness of a cancer treatment like chemotherapy ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | cancer cells can divide many more times than this , largely because they express an enzyme called telomerase , which reverses the wearing down of chromosome ends that normally happens during each cell division $ ^4 $ . cancer cells are also different from normal cells in other ways that aren ’ t directly cell cycle-rel... | how can damage to the cell cycle checkpoints in cancer cells lead to both the uncontrolled division , and eventually also lead to the altered behavior and emt ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | we 'll also see how abnormal forms of cell cycle regulators can contribute to cancer . what ’ s wrong with cancer cells ? cancer cells behave differently than normal cells in the body . many of these differences are related to cell division behavior . | why not encapsulate the cancer cell when the divide time is less then normal cells ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | in the diagram above , the growth factor receptor , the ras protein , and the signaling enzyme raf are all encoded by proto-oncogenes $ ^ { 11 } $ . overactive forms of these proteins are often found in cancer cells . for instance , oncogenic ras mutations are found in about 90 % of pancreatic cancers . | how do metabolic proteins link to each other - leading to the destruction of cancer cells ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | many of the proteins that transmit growth factor signals are encoded by proto-oncogenes . normally , these proteins drive cell cycle progression only when growth factors are available . if one of the proteins becomes overactive due to mutation , however , it may transmit signals even when no growth factor is around . | in the first paragraph , the text talks about growth factors for the cell , what are these growth factors ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | many of these differences are related to cell division behavior . for example , cancer cells can multiply in culture ( outside of the body in a dish ) without any growth factors , or growth-stimulating protein signals , being added . this is different from normal cells , which need growth factors to grow in culture . c... | first , why is it that only things that have to do with rapid growth mutate ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | normally , these proteins drive cell cycle progression only when growth factors are available . if one of the proteins becomes overactive due to mutation , however , it may transmit signals even when no growth factor is around . in the diagram above , the growth factor receptor , the ras protein , and the signaling enz... | why is n't there such a thing as someone 's hair color changing suddenly due to a mutation ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | how do these changes arise ? at least in some cases , they seem to be due to inactivating mutations in the very genes that keep the genome stable ( that is , genes that prevent mutations from occurring or being passed on ) $ ^8 $ . these genes encode proteins that sense and repair dna damage , intercept dna-binding che... | should n't mutations effect all sort of things more or less equally ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | in addition , emerging research shows that cancer cells may undergo metabolic changes that support increased cell growth and division $ ^5 $ . how cancer develops cells have many different mechanisms to restrict cell division , repair dna damage , and prevent the development of cancer . because of this , it ’ s thought... | what are some cancer signs ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | we 'll also see how abnormal forms of cell cycle regulators can contribute to cancer . what ’ s wrong with cancer cells ? cancer cells behave differently than normal cells in the body . many of these differences are related to cell division behavior . | can you explain how cancerous cells proliferate ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | in general , human cells can go through only about 40-60 rounds of division before they lose the capacity to divide , `` grow old , '' and eventually die $ ^3 $ . cancer cells can divide many more times than this , largely because they express an enzyme called telomerase , which reverses the wearing down of chromosome ... | at what stage of the cell cycle are cancer cells normally killed ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | p53 is the gene most commonly mutated in human cancers , and cancer cells without p53 mutations likely inactivate p53 through other mechanisms ( e.g. , increased activity of the proteins that cause p53 to be recycled ) $ ^ { 14,15 } $ . check your understanding : viruses and cancer some forms of cancer are linked to sp... | how does cancer start in a certain family and travel through the family blood ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | how do these changes arise ? at least in some cases , they seem to be due to inactivating mutations in the very genes that keep the genome stable ( that is , genes that prevent mutations from occurring or being passed on ) $ ^8 $ . these genes encode proteins that sense and repair dna damage , intercept dna-binding che... | where are the genes which keep the genome stable cell ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | here , we ’ ll look in more detail at what 's wrong with cancer cells . we 'll also see how abnormal forms of cell cycle regulators can contribute to cancer . what ’ s wrong with cancer cells ? | in relation to fine need aspiration tests done on thyroid nodules , does an abnormal cell result mean cancer ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | in general , human cells can go through only about 40-60 rounds of division before they lose the capacity to divide , `` grow old , '' and eventually die $ ^3 $ . cancer cells can divide many more times than this , largely because they express an enzyme called telomerase , which reverses the wearing down of chromosome ... | the article states that `` cancer cells can divide many more times because they express an enzyme called telomerase '' , but do n't normal cells also have telomerase ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | normally , these proteins drive cell cycle progression only when growth factors are available . if one of the proteins becomes overactive due to mutation , however , it may transmit signals even when no growth factor is around . in the diagram above , the growth factor receptor , the ras protein , and the signaling enz... | when we speak of a mutation leading to a lump benign or not : can that mutation be due to an unfavorable recombination of homologous chromosomes during the mitosis phase ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | how might this process work ? in a hypothetical example , a cell might first lose activity of a cell cycle inhibitor , an event that would make the cell ’ s descendants divide a little more rapidly . it ’ s unlikely that they would be cancerous , but they might form a benign tumor , a mass of cells that divide too much... | what would happen if every cell in the body simultaneously did apoptosis ? |
introduction does cell cycle control matter ? if you ask an oncologist – a doctor who treats cancer patients – she or he will likely answer with a resounding yes . cancer is basically a disease of uncontrolled cell division . its development and progression are usually linked to a series of changes in the activity of c... | over generations , cells with faulty p53 tend to accumulate mutations , some of which may turn proto-oncogenes to oncogenes or inactivate other tumor suppressors . p53 is the gene most commonly mutated in human cancers , and cancer cells without p53 mutations likely inactivate p53 through other mechanisms ( e.g. , incr... | how does the e6 actually defect a p53 ? |
background introduction to lagrange multipliers lagrange multipliers technique , quick recap when you want to maximize ( or minimize ) a multivariable function $ \bluee { f ( x , y , \dots ) } $ subject to the constraint that another multivariable function equals a constant , $ \rede { g ( x , y , \dots ) = c } $ , fol... | there is a function we want to maximize , $ \begin { align } \quad f ( x , y ) \end { align } $ and a constraint , $ \begin { align } \quad g ( x , y ) = c \end { align } $ we start by writing the lagrangian , $ \begin { align } \quad { \mathcal { l } ( x , y , \lambda ) = f ( x , y ) - \lambda ( g ( x , y ) -c ) } . \... | professor saul , could you please do some videos that convey the geometric intuition behind duality and how it is used in optimization problems ? |
background introduction to lagrange multipliers lagrange multipliers technique , quick recap when you want to maximize ( or minimize ) a multivariable function $ \bluee { f ( x , y , \dots ) } $ subject to the constraint that another multivariable function equals a constant , $ \rede { g ( x , y , \dots ) = c } $ , fol... | in other words , $ \nabla \mathcal { l } ( x^ , y^ , \lambda^* ) = 0 $ and $ ( x^ , y^ ) $ maximizes $ f $ ( subject to the constraint ) . when we start to think of $ c $ as a variable , we must account for the fact that the solution $ ( x^ , y^ , \lambda^* ) $ changes as the constraint $ c $ changes . to do this , we ... | i 'm sure why we are interested in how the solution changes with a change in c ? |
background introduction to lagrange multipliers lagrange multipliers technique , quick recap when you want to maximize ( or minimize ) a multivariable function $ \bluee { f ( x , y , \dots ) } $ subject to the constraint that another multivariable function equals a constant , $ \rede { g ( x , y , \dots ) = c } $ , fol... | showing why this is true is a bit tricky , but first , let 's take a moment to interpret it . for example , if we found that $ \lambda^* ( b ) = 2.59 $ , it would mean each additional dollar you spend over your budget would yield another $ \ $ 2.59 $ in revenue . conversely , decreasing your budget by a dollar will cos... | in the previous article , there was an example with ( lambda ) =0 , does this means that increasing the budget does not affect the revenue ? |
key points : even after a gene has been transcribed , gene expression can still be regulated at various stages . some transcripts can undergo alternative splicing , making different mrnas and proteins from the same rna transcript . some mrnas are targeted by micrornas , small regulator rnas that can cause an mrna to be... | ubiquitination proteins can be tagged for degradation by the addition of a chemical marker called ubiquitin . ubiquitin-tagged proteins are taken to the proteasome , or “ recycling center ” of the cell , and broken down into their component parts . ubiquitination is an important way of controlling the persistence of a ... | is the proteasome the same as a peroxisome ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | we check the solution by plugging $ \redd2 $ back into the original equation : $ \begin { align } 3x+7 & amp ; =13 \\ 3\cdot \redd 2 + 7 & amp ; \stackrel ? = 13 \\ 6+7 & amp ; \stackrel ? = 13 \\ 13 & amp ; = 13 ~~~~~~~\text { yes ! } \end { align } $ example 2 : variables on both sides solve for $ a $ . $ 5 + 14a = 9... | how did 2/3b become 5/3b in the second step ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . | when do we use these in real life ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . | is a multi-step equation any problem with more than one step ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . | why do we have cutting boards without lips in this world ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . | what is 15x-10=10 ( x+1 ) ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | \end { align } $ example 2 : variables on both sides solve for $ a $ . $ 5 + 14a = 9a - 5 $ we need to manipulate the equation to get $ a $ by itself . $ \begin { align } 5 + 14a & amp ; = 9a - 5 \\ 5 + 14a \blued { - 9a } & amp ; = 9a - 5 \blued { - 9a } \\ 5 + 5a & amp ; = -5 \\ 5 + 5a \blued { -5 } & amp ; = -5 \blu... | hi , in the multistep equation review practice questions a problem is given as ; 2/3 b + 5 equals 20 - b step 1 ) add b 5/3 b + 5 equals 20 step 2 ) subtract 5 5/3 b equals 15 step 3 ) multiply by 3/5 can someone please explain this last step ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | \end { align } $ example 2 : variables on both sides solve for $ a $ . $ 5 + 14a = 9a - 5 $ we need to manipulate the equation to get $ a $ by itself . $ \begin { align } 5 + 14a & amp ; = 9a - 5 \\ 5 + 14a \blued { - 9a } & amp ; = 9a - 5 \blued { - 9a } \\ 5 + 5a & amp ; = -5 \\ 5 + 5a \blued { -5 } & amp ; = -5 \blu... | and how does 5/3 x 3/5 equal 9 ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | we check the solution by plugging $ \redd2 $ back into the original equation : $ \begin { align } 3x+7 & amp ; =13 \\ 3\cdot \redd 2 + 7 & amp ; \stackrel ? = 13 \\ 6+7 & amp ; \stackrel ? = 13 \\ 13 & amp ; = 13 ~~~~~~~\text { yes ! } \end { align } $ example 2 : variables on both sides solve for $ a $ . $ 5 + 14a = 9... | how did 2/3b become 5/3b in the second step ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | we check the solution by plugging $ \redd2 $ back into the original equation : $ \begin { align } 3x+7 & amp ; =13 \\ 3\cdot \redd 2 + 7 & amp ; \stackrel ? = 13 \\ 6+7 & amp ; \stackrel ? = 13 \\ 13 & amp ; = 13 ~~~~~~~\text { yes ! } \end { align } $ example 2 : variables on both sides solve for $ a $ . $ 5 + 14a = 9... | can someone please help me understand how to solve 2/3b + 5 = 20 -b ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | we check the solution by plugging $ \redd2 $ back into the original equation : $ \begin { align } 3x+7 & amp ; =13 \\ 3\cdot \redd 2 + 7 & amp ; \stackrel ? = 13 \\ 6+7 & amp ; \stackrel ? = 13 \\ 13 & amp ; = 13 ~~~~~~~\text { yes ! } \end { align } $ example 2 : variables on both sides solve for $ a $ . $ 5 + 14a = 9... | how does it go from 2/3 b to 5/3b ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | we check the solution by plugging $ \redd2 $ back into the original equation : $ \begin { align } 3x+7 & amp ; =13 \\ 3\cdot \redd 2 + 7 & amp ; \stackrel ? = 13 \\ 6+7 & amp ; \stackrel ? = 13 \\ 13 & amp ; = 13 ~~~~~~~\text { yes ! } \end { align } $ example 2 : variables on both sides solve for $ a $ . $ 5 + 14a = 9... | i 'm assuming that 2/3b plus b equals to 5/3b but how though ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . | what exactly is a variable ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . | whenever the plane take off so how much gasoline will it fuel ? |
when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . $ \begin { align } 3x+7 & amp ; =13 \\ 3x+7\redd { -7 } & amp ; =13\redd { -7 } \\ 3x & amp ; =6... | when solving an equation , our goal is to find the value of the variable that makes the equation true . example 1 : two-step equation solve for $ x $ . $ 3x+7=13 $ we need to manipulate the equation to get $ x $ by itself . | how comes the equation 2/3b becomes 5/3b at step two when we combine like terms ? |
overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | the objectives of the us invasion of afghanistan were to depose the taliban and rout al-qaeda . although us troops enjoyed initial success at driving the taliban from power , bin laden managed to escape , and the taliban eventually regrouped and launched a major counter-offensive . the conflict in afghanistan was one o... | also , although there is conspiracy theories , how could have the twin towers collapsed within itself instead of falling over ? |
overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | what caused the world trade center towers to collapse ? |
overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | in a democracy , what is the proper relationship and balance between security and liberty ? how would you evaluate president bush 's decision to go to war in afghanistan and iraq ? how does the global war on terror compare to past military conflicts , such as world war ii or vietnam ? | where were the planes supposed to go before the hijackings ? |
overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | the objectives of the us invasion of afghanistan were to depose the taliban and rout al-qaeda . although us troops enjoyed initial success at driving the taliban from power , bin laden managed to escape , and the taliban eventually regrouped and launched a major counter-offensive . the conflict in afghanistan was one o... | how were the us troops able to find and kill osama bin laden without getting attacked by the taliban or other islamic soldiers ? |
overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | in a democracy , what is the proper relationship and balance between security and liberty ? how would you evaluate president bush 's decision to go to war in afghanistan and iraq ? how does the global war on terror compare to past military conflicts , such as world war ii or vietnam ? | in paragraph three , how would you evaluate president bush 's decision to go to war in afghanistan and iraq ? |
overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | how would you evaluate president bush 's decision to go to war in afghanistan and iraq ? how does the global war on terror compare to past military conflicts , such as world war ii or vietnam ? | so the 9/11 incident caused war on the middle east ? |
overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | when revelations surfaced that the national security agency ( nsa ) was collecting mass cellphone data , the law was amended so that the agency could only request the data of certain targeted individuals . a public debate erupted over whether the nsa had violated the american public ’ s reasonable expectations of priva... | is that why there 's lots of american soldiers in the middle east ? |
overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | he condemned us support for israel and criticized the presence of us troops in saudi arabia during the first gulf war . bin laden was one of the founders of al-qaeda , a radical sunni islamist terrorist network that has attacked civilian and military targets in numerous countries . al-qaeda organized the september 11th... | why was the south tower the first one to collapse even though it was the second one to be hit ? |
overview on september 11 , 2001 , terrorists affiliated with al-qaeda hijacked and flew airplanes into the world trade center in new york city and the pentagon in washington , d.c. nearly 3,000 americans were killed in the attacks . the administration of president george w. bush declared a global war on terror and sent... | bin laden was one of the founders of al-qaeda , a radical sunni islamist terrorist network that has attacked civilian and military targets in numerous countries . al-qaeda organized the september 11th attacks , which involved hijacking and flying airplanes into the world trade center in new york city and the pentagon i... | was exlaty 6,000 people injired ? |
what you need to know before taking this lesson the grouping method can be used to factor polynomials with $ 4 $ terms by taking out common factors multiple times . if this is new to you , you 'll want to check out our intro to factoring by grouping article . we also recommend that you review our article on factoring q... | summary in general , we can use the following steps to factor a quadratic of the form $ \blued ax^2+\goldd bx+\purplec c $ : start by finding two numbers that multiply to $ \blued a\purplec c $ and add to $ \goldd b $ . use these numbers to split up the $ x $ -term . use grouping to factor the quadratic expression . | why should i have to use only positive numbers ? |
what you need to know before taking this lesson the grouping method can be used to factor polynomials with $ 4 $ terms by taking out common factors multiple times . if this is new to you , you 'll want to check out our intro to factoring by grouping article . we also recommend that you review our article on factoring q... | what you will learn in this lesson in this article , we will use grouping to factor quadratics with a leading coefficient other than $ 1 $ , like $ 2x^2+7x+3 $ . example 1 : factoring $ 2x^2+7x+3 $ since the leading coefficient of $ ( \blued2x^2\goldd { +7 } x\purplec { +3 } ) $ is $ \blued 2 $ , we can not use the sum... | why do we multiple 2 and 3 in the first example ? |
what you need to know before taking this lesson the grouping method can be used to factor polynomials with $ 4 $ terms by taking out common factors multiple times . if this is new to you , you 'll want to check out our intro to factoring by grouping article . we also recommend that you review our article on factoring q... | these two numbers tell us how to break up the $ x $ -term in the original expression . so we can express our polynomial as $ 2x^2+7x+3=2x^2+\teald 1x+\teald 6x+3 $ . we can now use grouping to factor the polynomial : $ \begin { align } & amp ; \phantom { = } ~~2x^2+1x+6x+3\\ & amp ; = ( { 2x^2+1x } ) { + ( 6x+3 ) } & a... | 2x^2 + 7x-15 = 0 if r and s are two solutions of the equation above and r > s , which of the following is the value of r - s ? |
what you need to know before taking this lesson the grouping method can be used to factor polynomials with $ 4 $ terms by taking out common factors multiple times . if this is new to you , you 'll want to check out our intro to factoring by grouping article . we also recommend that you review our article on factoring q... | take note : in step $ \small { \blued { ( 1 ) } } $ above , notice that because the third term is negative , a `` + '' was inserted between the groupings to keep the expression equivalent to the original . also , in step $ \small { \blued { ( 2 ) } } $ , we needed to factor out a negative gcf from the second grouping t... | does it matter if you factor out a negative vs a positive ? |
in this article , we will learn how to find the range of quadratic functions . in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just a... | your turn ! consider the function $ g ( x ) = ( x-4 ) ^2-5 $ which is graphed below . solution method 2 : the algebraic approach at this point , you may ask yourselves , `` do we always have to draw the graph when we want to find the range ? '' | can we set the equation to equal -1 then solve for the x value of the vertex ? |
in this article , we will learn how to find the range of quadratic functions . in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just a... | your turn ! consider the function $ g ( x ) = ( x-4 ) ^2-5 $ which is graphed below . solution method 2 : the algebraic approach at this point , you may ask yourselves , `` do we always have to draw the graph when we want to find the range ? '' | for what domain of values of y , the solution of x will be a real number ? |
in this article , we will learn how to find the range of quadratic functions . in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just a... | it turns out all we need to know in order to determine the range of a quadratic function is the $ y $ -value of the vertex of its graph , and whether it opens up or down . this is easy to tell from a quadratic function 's vertex form , $ y = \purplec { a } ( x-h ) ^2 + \blued { k } $ . in this form , the vertex is at $... | like how is the minimum or maximum value dependent on the constant term k in a ( x+h ) ^2+k ? |
in this article , we will learn how to find the range of quadratic functions . in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just a... | your turn ! consider the function $ g ( x ) = ( x-4 ) ^2-5 $ which is graphed below . solution method 2 : the algebraic approach at this point , you may ask yourselves , `` do we always have to draw the graph when we want to find the range ? '' | how do you solve for the domain of a function in fraction form , say : x-26 f ( x ) = -- -- -- -- -- -- -- -- ( x-4 ) ( x+45 ) are there any rules to figuring this out or do we just plug in numbers ? |
in this article , we will learn how to find the range of quadratic functions . in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just a... | in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just as we 're used to referring to inputs of a function with the letter $ x $ , we w... | how would i find the range of the function 2x - 3x^2 ? |
in this article , we will learn how to find the range of quadratic functions . in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just a... | in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just as we 're used to referring to inputs of a function with the letter $ x $ , we w... | what is the domain and range for bx-2x^2+4 , max value x= -3/2 , then find range ? |
in this article , we will learn how to find the range of quadratic functions . in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just a... | and you will be right in doing so ! laziness is a great motivation for finding better ways to solve problems . let 's think about the work we did above and look for a pattern . | in relation to these problems , how would you find the vertical asymptotes ? |
in this article , we will learn how to find the range of quadratic functions . in other words , we will learn how to determine the set of all possible outputs of a given quadratic function . let 's study an example problem we want to find the range of the function $ f ( x ) =-2 ( x+3 ) ^2+7 $ . in this article , just a... | question 1 | question 2 - | - | so we saw how we can check whether a given value is a possible output using a graph . a graph can actually tell us the entire range of possible outputs ! for instance , the graph of $ y=f ( x ) $ shows that $ 7 $ ( the $ y $ -coordinate of the vertex ) is the maximum $ y $ -value that th... | may be apart from solving a quadratic equation using graphs , is it possible to solve it mathematically to obtain the range ? |
at the crossroads of cultures nukuoro is a small isolated atoll in the archipelago of the caroline islands . it is located in micronesia , a region in the western pacific . archaeological excavations demonstrate that nukuoro has been inhabited since at least the eighth century . oral tradition corroborates these dates ... | johann stanislaus kubary , who visited the island in 1873 and in 1877 while working for the godeffroy trading company and its museum , and carl jeschke , a ship ’ s captain who first visited the atoll in 1904 and then regularly between 1910 and 1913 , give the most detailed information on the nukuoron figures . wooden ... | is that only wooden sculptures ? |
at the crossroads of cultures nukuoro is a small isolated atoll in the archipelago of the caroline islands . it is located in micronesia , a region in the western pacific . archaeological excavations demonstrate that nukuoro has been inhabited since at least the eighth century . oral tradition corroborates these dates ... | both carvings are part of a small group of thirty-seven sculptures from nukuoro that arrived in western museum collections from the 1870s onwards . european artists believed that the highly stylized representation of the human in the nukuoro figures represented the purest form of art—an art that lay at the origins of m... | why is the representation of the human body important for the nukuoro ? |
for the first time ever , students have access to a free , personalized practice program for the sat through an exclusive partnership between khan academy and the college board . by making world-class sat preparation available to anyone , anywhere , we hope to level the playing field so that every student has equal opp... | to share and see tips and best practices from other teachers , check out our teacher community . develop a school action plan with measurable goals for the year , and continue to track those goals . engage students ’ families , volunteers , or community groups to emphasize practice . | question : will that linking work for this year , school year 16-17 , still work between college board and khan to get this year 's ( 2016 ) psat scores ? |
for the first time ever , students have access to a free , personalized practice program for the sat through an exclusive partnership between khan academy and the college board . by making world-class sat preparation available to anyone , anywhere , we hope to level the playing field so that every student has equal opp... | adding students once you ’ ve created your class and enabled the sat tools , all of the students in that class will automatically get an invitation to share their sat activity with you . the first time they log in to official sat practice after you ’ ve enabled the sat coach tools and added students , they will see a p... | is there any way that i can see my students ' progress ( time spent ) on sat prep activities for a designated period of time ( since the beginning of the semester , for instance ) ? |
for the first time ever , students have access to a free , personalized practice program for the sat through an exclusive partnership between khan academy and the college board . by making world-class sat preparation available to anyone , anywhere , we hope to level the playing field so that every student has equal opp... | for each student , this section includes the following items : the amount of time the student has spent on sat practice so far . this updates approximately hourly for `` this week '' the student ’ s progress against their question goals for the week . each student creates their own practice schedule in which they choos... | what 's the cut-off before that data goes to `` last week '' ? |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.