Split (1)

train · 116k rows

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
student	ok	17,825	245	[]
student	makes sense	17,825	246	[]
volunteer	I hope I'm not confusing you more than helping.	17,825	247	[]
student	no this helps	17,825	248	[]
volunteer	Ok. Good.	17,825	249	[]
volunteer	Now we are ready to set up our integral.	17,825	250	[]
volunteer	Since y^2 is now the area of a representative triangle, We can integrate it with respect to x.	17,825	251	[]
volunteer	First would you solve for y^2 from the original ellipse equation, please?	17,825	252	[]
student	this?	17,825	253	[]
volunteer	I think y^2 = 25 - x^2, if you go back to the original equation for the ellipse.	17,825	254	[]
volunteer	I'm sorry. YOu are right!!!	17,825	255	[]
student	ok	17,825	256	[]
volunteer	Now let's think of the limits for our integral\	17,825	257	[]
volunteer	Recall that the x-axis runs from -2 to 2.	17,825	258	[]
student	ok why is that?	17,825	259	[]
volunteer	When we standardized the ellipse equation, we got x^2/2^2 = Y^2/25 = 1	17,825	260	[]
student	ok got it	17,825	261	[]
volunteer	That means the left most point on the ellipse is at -2 and the right most point is 2. Do you see that?	17,825	262	[]
volunteer	Great	17,825	263	[]
volunteer	Let's write down our integral with limits.	17,825	264	[]
student	ok	17,825	265	[]
volunteer	You've got most of it right there.	17,825	266	[]
student	ok got it	17,825	267	[]
student	let me paste in my answer	17,825	268	[]
student	i 200/3	17,825	269	[]
volunteer	Let me calculate for a minute	17,825	270	[]
student	ok	17,825	271	[]
volunteer	You got it!	17,825	272	[]
volunteer	That is correct.	17,825	273	[]
student	yay!	17,825	274	[]
student	i have one more and it seems easier than these	17,825	275	[]
student	if that's okay	17,825	276	[]
volunteer	OK	17,825	277	[]
volunteer	Let me read for a few	17,825	278	[]
volunteer	Ok. Have any thoughts?	17,825	279	[]
volunteer	Great start	17,825	280	[]
student	im stuck	17,825	281	[]
volunteer	Too complicated	17,825	282	[]
volunteer	Let's think about the representative squares.	17,825	283	[]
student	ok	17,825	284	[]
volunteer	Write me an equation for the line that connects the x and y axis.	17,825	285	[]
volunteer	please	17,825	286	[]
student	y=-x+5	17,825	287	[]
volunteer	Super!	17,825	288	[]
volunteer	Now. Isn't true that y represents the side of the square we want?	17,825	289	[]
volunteer	length	17,825	290	[]
student	yes	17,825	291	[]
volunteer	So, isn't it true that the area of a representative square is simply y^2 = (5 - x)^2	17,825	292	[]
student	so a(x)=(-x+5)^2?	17,825	293	[]
volunteer	Indeed!	17,825	294	[]
volunteer	What are my limits for x?	17,825	295	[]
student	0 to 5	17,825	296	[]
volunteer	Fantastic!!!!	17,825	297	[]
volunteer	Crank it out my friend!	17,825	298	[]
student	i got this :))	17,825	299	[]
volunteer	Yes you do!!! Great job. :)	17,825	300	[]
student	thanks so much for explaining all of this with me :DD	17,825	301	[]
student	This was my last question so I shall take a break now	17,825	302	[]
volunteer	YOu are quite welcome and very deserving	17,825	303	[]
student	have a nice rest of your day :))	17,825	304	[]
volunteer	Bye	17,825	305	[]
student	Hello! I need help with this.	17,853	0	[]
volunteer	Hi Alex!	17,853	1	[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7 } ]
student	Hi!	17,853	2	[]
student	I solved this a little but idk if this is correct	17,853	3	[]
student	Or if this is the correc way to solve	17,853	4	[]
student	for the 9%	17,853	5	[]
volunteer	Because we are given the total interest, I think that we should combine the two accounts into one equation	17,853	6	[]
student	Oh it says "each"	17,853	7	[]
student	So I thought seperate	17,853	8	[]
volunteer	That is a good point, but we want to solve the combined equation first and then we will get both parts	17,853	9	[]
student	Ok how would I do that then	17,853	10	[]
volunteer	Let's start with the 9% account: We know that the 1 year interest will just be 0.09 times the amount invested	17,853	11	[]
volunteer	What should we use instead of x for the 10% account	17,853	12	[]
student	0.1	17,853	13	[]
student	oh	17,853	14	[]
student	ummm	17,853	15	[]
student	b?	17,853	16	[]
volunteer	Keep in mind that x and this must add to 15000	17,853	17	[]
student	ok	17,853	18	[]
volunteer	we can actually use 15000 - x, because 15000 - x + x = 15000	17,853	19	[]
volunteer	That way, we simplify the problem into only one variable	17,853	20	[]
volunteer	And finally, what does this equation equal?	17,853	21	[]
student	1432	17,853	22	[]
volunteer	perfect	17,853	23	[]
volunteer	How should we solve this equation?	17,853	24	[]
student	distribute	17,853	25	[]
volunteer	That is actually 1500 because we distribute the 0.1 to the 15000 as well	17,853	26	[]
student	o	17,853	27	[]
volunteer	And that should equal because 1500-1432 is 68	17,853	28	[]
volunteer	Nice job!	17,853	29	[]
volunteer	So that is the amount invested in the 9% account. How should we find the amount for the 10% account?	17,853	30	[]
student	yep	17,853	31	[]
student	would we add that number into x?	17,853	32	[]
volunteer	6800 is our x. There is something that we can do with substitution here	17,853	33	[]
student	hmmm	17,853	34	[]
student	oh	17,853	35	[]
student	put it in the parenthesis?	17,853	36	[]
student	6800-x?	17,853	37	[]
volunteer	So close! We do use the 15000 - x. However, 6800 is our x value. So, the amount invested in the 10% account is 15000 - 6800	17,853	38	[]

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