The volume of many types of three dimensional shapes can be found by using the formula V = 1/3Bh where B stands for the area of the B and h stands for the height. Solve the formula for B.
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OpenStudy (anonymous):
help please
jimthompson5910 (jim_thompson5910):
how would you move that 3 over
OpenStudy (anonymous):
multiplying ?
OpenStudy (anonymous):
idk to be honest
jimthompson5910 (jim_thompson5910):
multiplying both sides by what
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OpenStudy (anonymous):
Bh
jimthompson5910 (jim_thompson5910):
but you want to undo that division by 3
OpenStudy (anonymous):
so you multiply by 3
jimthompson5910 (jim_thompson5910):
yes giving you
3V = Bh
OpenStudy (anonymous):
that's not right
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jimthompson5910 (jim_thompson5910):
well yeah, we're not done
you need to fully isolate B
jimthompson5910 (jim_thompson5910):
"solve for B" means "isolate B"
OpenStudy (anonymous):
right and how do you isolate it ?
OpenStudy (anonymous):
divide?
jimthompson5910 (jim_thompson5910):
both sides by what
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OpenStudy (anonymous):
3V
jimthompson5910 (jim_thompson5910):
that just gives you
1 = (Bh)/(3V)
which is a step in the wrong direction when it comes to isolating B
jimthompson5910 (jim_thompson5910):
we want B all by itself on its own side
OpenStudy (anonymous):
so do u divide by Bh or 1/3 ?
jimthompson5910 (jim_thompson5910):
go back to 3V = Bh
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jimthompson5910 (jim_thompson5910):
how do you move that h over
OpenStudy (anonymous):
divide it by the other side
jimthompson5910 (jim_thompson5910):
good, so you would get \[\large B = \frac{3V}{h}\]
OpenStudy (anonymous):
thanks!!! :)
jimthompson5910 (jim_thompson5910):
yw
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OpenStudy (anonymous):
can u help me with this ? Jena has a cell phone plan that charges a $30 flat fee for the service and then charges $0.25 for every minute that she uses the phone over 500 minutes. If "m" stands for the TOTAL number of minutes that she uses in a month and that amount is over 500 minutes, write the algebraic expression that shows how much she will be charged this month. Do not simplify or include the $ symbol in your expression.
jimthompson5910 (jim_thompson5910):
how far did you get
OpenStudy (anonymous):
well I had an answer but, it wasn't right.
OpenStudy (anonymous):
could u help me out
OpenStudy (anonymous):
are u there ???
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well you're charged $30 no matter what, so that gets added on first
then you're charged an additional $0.25 per min every min over 500, so you have to add on 0.25(m-500)
so the expression is
30 + 0.25(m-500)
and you can simplify that out if you want, but you can leave it like that
jimthompson5910 (jim_thompson5910):
oh wait, it tells you not to simplify, so leave it like that
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OpenStudy (anonymous):
0.25(m-500) +30 This is the right answer You had it out of order
OpenStudy (anonymous):
but thanks
jimthompson5910 (jim_thompson5910):
oh same thing
jimthompson5910 (jim_thompson5910):
since x+y is the same as y+x
OpenStudy (anonymous):
yes true lol
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OpenStudy (anonymous):
The population of a town in Iowa is growing and the equation that displays the current population can be shown by the equation C = P(1.04)y where F stands for the current population, P is 124,000 and y stands for 12. What is the value of C? Write the number only.
OpenStudy (anonymous):
how would you do this ???
jimthompson5910 (jim_thompson5910):
plug in each value and evaluate
OpenStudy (anonymous):
is this right so far C=124,000(1.04)12
jimthompson5910 (jim_thompson5910):
good, now evaluate 124000*(1.04)^12
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OpenStudy (anonymous):
I square the 12 ? or multiply it
jimthompson5910 (jim_thompson5910):
type what you see exactly into your calculator
OpenStudy (anonymous):
am I supposed to get a big number ?
jimthompson5910 (jim_thompson5910):
show me what you got
OpenStudy (anonymous):
18570240
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jimthompson5910 (jim_thompson5910):
a bit too big
jimthompson5910 (jim_thompson5910):
type
124000*(1.04)^12
into google (copy and paste)
jimthompson5910 (jim_thompson5910):
it will act like a calculator and give you the result
OpenStudy (anonymous):
198527.995102
OpenStudy (anonymous):
I got this
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jimthompson5910 (jim_thompson5910):
much better
jimthompson5910 (jim_thompson5910):
you round to the nearest whole number since this is a population of people (and you can't have half a person)
OpenStudy (anonymous):
how am I supposed to round that big number ?
jimthompson5910 (jim_thompson5910):
look at the decimal point, what's to the right of it?
OpenStudy (anonymous):
a 9
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OpenStudy (anonymous):
so you round up
jimthompson5910 (jim_thompson5910):
that's bigger than 5, so you chop everything off after the decimal point and you add 1 to the number to go from 198527 to 198528
jimthompson5910 (jim_thompson5910):
yep round up
OpenStudy (anonymous):
can u help me with line of best fit
jimthompson5910 (jim_thompson5910):
sure, but this will be the last one for today
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What is the equation for the line of best fit for this data? All number should be to 3 decimal places and no spaces for the auto grade to work correctly
jimthompson5910 (jim_thompson5910):
hopefully you can use a calculator for this
this is because doing regression lines by hand is a bit of a pain
jimthompson5910 (jim_thompson5910):
do you have a TI calculator?
OpenStudy (anonymous):
yes I do u put the data in Stat don't u
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jimthompson5910 (jim_thompson5910):
yes correct, you put the data into 2 lists
jimthompson5910 (jim_thompson5910):
then you do a regression
OpenStudy (anonymous):
okay it shows me the LineReg it has a,b, r^2 and r.. which one is the equation
jimthompson5910 (jim_thompson5910):
the equation is most likely y = a + bx
so you plug in the values you got for a and b
OpenStudy (anonymous):
it doesn't say the equation I have to create it
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jimthompson5910 (jim_thompson5910):
what are the values of a and b
OpenStudy (anonymous):
a= .0203626062
b= -38.70447592
jimthompson5910 (jim_thompson5910):
I'm getting the same roughly
jimthompson5910 (jim_thompson5910):
round that to 3 places to get a = 0.020 and b = -38.704
so your equation is
y = 0.020x - 38.704
OpenStudy (anonymous):
thanks so much
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jimthompson5910 (jim_thompson5910):
np
OpenStudy (anonymous):
are you a teacher ?
jimthompson5910 (jim_thompson5910):
not yet, I'm learning to become one at the moment
OpenStudy (anonymous):
ohh that's cool what math are you going to teach ?
jimthompson5910 (jim_thompson5910):
I'll probably teach high school math or middle school math
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OpenStudy (anonymous):
good luck with that! I have one more question sorry but, I don't know how to do this ?Use the line of best to determine what the cost of milk will be in 2020. Round your answer to the nearest hundredth
jimthompson5910 (jim_thompson5910):
the equation is y = 0.020x - 38.704 where x is the year
so plug in x = 2020 and evaluate to get your answer (remember to round your answer to 2 decimal places)
OpenStudy (anonymous):
ok but where do you plug in the 2020 at ?
OpenStudy (anonymous):
behind the 0.020x?
jimthompson5910 (jim_thompson5910):
you replace x with 2020
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OpenStudy (anonymous):
so like this ? y=0.020(2020)-38.704 ??
jimthompson5910 (jim_thompson5910):
correct, now evaluate that
OpenStudy (anonymous):
I got 1.696
jimthompson5910 (jim_thompson5910):
round that to 2 decimal places
OpenStudy (anonymous):
1.700
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jimthompson5910 (jim_thompson5910):
so the answer is 1.70
OpenStudy (anonymous):
it says its wrong.
jimthompson5910 (jim_thompson5910):
hmm is it saying the equation y = 0.020x - 38.704 is wrong?