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volunteer
and since e^ln(a)= a, we can rewrite that as 7/20
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volunteer
Do you know what to do next?
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student
plug in 23
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volunteer
we've already plugged in 23!
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student
oh
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volunteer
We now compute!
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volunteer
7/20 as a decimal is 0.35
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volunteer
so we will write it like this
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volunteer
since we rewrote it, we have to compute the exponent.
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volunteer
23/12 as a decimal is 1.9167
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volunteer
so we will write it like this
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volunteer
that will get us this
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volunteer
So now we can get our final answer!
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volunteer
Do you know what to do next?
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student
multiply
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volunteer
yes! tell me what you get as the answer
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student
53.6
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volunteer
Yes, now round your answer to the nearest whole number
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student
54
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volunteer
Correct! That is your final answe!
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volunteer
Is that all Maya?
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[ { "pii_type": "PERSON", "surrogate": "Maya", "start": 12, "end": 16 } ]
student
I have another problem
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volunteer
Okay!
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volunteer
will you show me your problem?
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student
ok
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volunteer
Give me a minute to look over the problem
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volunteer
So first we write the formula
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volunteer
We plug in the numbers. the initial amount 5800 kg. So we plug in a =5800, y =1856, and t=9
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volunteer
Can you write the equation for me?
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volunteer
Yes! Perfect! Let's write on the graph!
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volunteer
What do you do next?
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volunteer
Great job! Keep going Maya!
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[ { "pii_type": "PERSON", "surrogate": "Maya", "start": 22, "end": 26 } ]
volunteer
Lets go down to the graph
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student
ok
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volunteer
after dividing both sides by 5800, we will get an euation that looks like this
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volunteer
when simplifying the fraction, you can 464/1460
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volunteer
1450*
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volunteer
We take the natural log on both sides
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volunteer
To find r, we need to get r by itself.
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volunteer
So now we plug it back into the model!
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volunteer
that is part a in blue!
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volunteer
Now shall we move onto part b?
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student
yes
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volunteer
Okay we will move on to part b
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volunteer
Maya, I will end the session at 5:05!
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[ { "pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4 } ]
student
ok
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volunteer
We substitute t with 15
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volunteer
Part b will be in pink
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volunteer
we are simplifying the expoinent
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volunteer
Now we will compute
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volunteer
you can write 1856/5800 as 0.32
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volunteer
15./9 as 1.
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volunteer
1.6*
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volunteer
15/9=1.6*
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volunteer
ln (0.32) = -1.1394
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volunteer
And 1.6667 x (-1.1394)=-1.899
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volunteer
Multiplying 5800 x 0.150 gives you approximately 870.
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volunteer
870 will be the answer!
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volunteer
I hope this session helped you Maya!
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[ { "pii_type": "PERSON", "surrogate": "Maya", "start": 31, "end": 35 } ]
student
thank you
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volunteer
You're absolutely welcome! Have a great day!
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student
Chloe
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[ { "pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5 } ]
volunteer
oh hi Chloe its you again haha
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[ { "pii_type": "PERSON", "surrogate": "Chloe", "start": 6, "end": 11 } ]
student
hey
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student
haha
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volunteer
what do you need help withhh?
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student
this
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volunteer
okay you need to multiply 3/4 with 6/5
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volunteer
because when you divide by a fraction, you multiply by its reciprocal.
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student
18/20
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volunteer
yupppp
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volunteer
simplify that
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student
2/4
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volunteer
nope, not quitee
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student
ok
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volunteer
try again
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student
uhh ok
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volunteer
remember to find the GCF first
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volunteer
what's the GCF?
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student
of what
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student
3 and 6
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volunteer
of 18 and 20
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volunteer
nope its 2
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volunteer
so divide 18 and 20 by 2, then you get the simplified form
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student
ok
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volunteer
what's the simplified form?
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student
idk
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volunteer
here let me write it down
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volunteer
answer that
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student
9 and 10
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volunteer
yes
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volunteer
so the simplified version of 18/20 is 9/10
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student
ok
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student
yaa
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volunteer
do you need anything else?
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student
yes
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volunteer
okay sure
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volunteer
show me
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student
ok
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volunteer
wait can you show that again
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