Please help me solve this problems. SHOW YOUR WORK!!!

22. Select the equation of the line that is parallel to 3x + 9 = 0.

a) 3y + 9 = 0
b) y = 8
c) x = -20
d) 2x + y = 0

28. Select the pair of lines that intersect.

a) y + 9 = 0, y = 8
b) 2x - y = 6, y = 2x + 3.8
c) x = 0, -7 = x
d) y = -x + 3, y = x + 3

34. The reciprocal of -7 2/3 is:

a) -3/23
b) -7 2/3
c) 3/23
d) 7 2/3

43. Evaluate (-2) to the power : -3

a) 6
b) 1/8
c) -1/8
d) -8

47. Evaluate (-2/5) to the power : -3

a) 125/8
b) -125/8
c) -2/5
d) 8/125

64. Which of the following is NOT a solution of the equation y = -5x + 7?

a) x=6, y=1
b) x=1, y=2
c) x=0, y=7
d) x=2, y=-3

bis2806

Jun 16th, 2005, 10:56 PM

You should be researching and looking into books, not asking for answers!

daffodil

Jun 16th, 2005, 10:57 PM

68. Solve a + 3/5 = 2

a) a=5
b) a=7
c) a=10
d) a=2

73. Which equation represents a line with slope 5 and a y-intercept of -2?

a) 5x - y - 2 = 0
b) -5x + 2 = y
c) 5y + 2 = x
d) 5x + y + 2 = 0

75. A pair of lines is defined by the two equations y = 4x - 3 and y = x + 6. The point of intersection of the two lines is:

a) (3, 9)
b) (1, 1)
c) (0, 0)
d) (-2, 4)

daffodil

Jun 16th, 2005, 10:58 PM

You should be researching and looking into books, not asking for answers!

It's due tomorrow, and I need help. :wavey: :angel: :angel: :angel:

bis2806

Jun 16th, 2005, 11:00 PM

Well you should have done them like EARLY. These questions involve using your head and they are not hard at all.

daffodil

Jun 16th, 2005, 11:04 PM

Well you should have done them like EARLY. These questions involve using your head and they are not hard at all.

My studies have been very agonizing the past two weeks. This assignment was the last thing on my mind. I would have done it earlier if I had free time.

If it's so easy, help a fellow human out!

GoDominique

Jun 16th, 2005, 11:10 PM

:rolleyes:

daffodil

Jun 16th, 2005, 11:13 PM

:rolleyes:

If you gave me the answer, with the correct calculations, I would better understand what I'm not understanding.

bw2082

Jun 16th, 2005, 11:14 PM

careful ... people like me will give you wrong answers to teach you a lesson about asking others to do your homework for you :o

Geisha

Jun 16th, 2005, 11:19 PM

Honeslty, you children are being very difficult. The poor kid was asking for a little Math help and you guys are being bitches about it. Help the kid, or leave the topic. No need to be smart-asses.

Hayato

Jun 16th, 2005, 11:21 PM

Honeslty, you children are being very difficult. The poor kid was asking for a little Math help and you guys are being bitches about it. Help the kid, or leave the topic. No need to be smart-asses.

well said :worship: Poor daffodil :hug: :awww: :hug:

Sorry, I can't help because we haven't learn that topic yet, i think we're learning it next term :scared:

I hope someone else can help you! :wavey:

Geisha

Jun 16th, 2005, 11:22 PM

I'd be glad to help you, but I failed Math. :( Sorry, Daffy!

ys

Jun 16th, 2005, 11:25 PM

Please help me solve this problems. SHOW YOUR WORK!!!

22. Select the equation of the line that is parallel to 3x + 9 = 0.

a) 3y + 9 = 0
b) y = 8
c) x = -20
d) 2x + y = 0

28. Select the pair of lines that intersect.

a) y + 9 = 0, y = 8
b) 2x - y = 6, y = 2x + 3.8
c) x = 0, -7 = x
d) y = -x + 3, y = x + 3

34. The reciprocal of -7 2/3 is:

a) -3/23
b) -7 2/3
c) 3/23
d) 7 2/3

43. Evaluate (-2) to the power : -3

a) 6
b) 1/8
c) -1/8
d) -8

47. Evaluate (-2/5) to the power : -3

a) 125/8
b) -125/8
c) -2/5
d) 8/125

64. Which of the following is NOT a solution of the equation y = -5x + 7?

a) x=6, y=1
b) x=1, y=2
c) x=0, y=7
d) x=2, y=-3

:)

ys

Jun 16th, 2005, 11:28 PM

68. Solve a + 3/5 = 2

a) a=5
b) a=7
c) a=10
d) a=2

This one I don't understand

73. Which equation represents a line with slope 5 and a y-intercept of -2?

a) 5x - y - 2 = 0
b) -5x + 2 = y
c) 5y + 2 = x
d) 5x + y + 2 = 0

I would need an English-language definition of "slope", not to be guessing.. I learnt math in Russia..

75. A pair of lines is defined by the two equations y = 4x - 3 and y = x + 6. The point of intersection of the two lines is:

a) (3, 9)
b) (1, 1)
c) (0, 0)
d) (-2, 4)

:)

Rtael

Jun 16th, 2005, 11:29 PM

28 is D. They both have the same y-intercept, so they'd cross there.
34 is A. A receciprocal means that if you multiply them together you will get 1.
43 is C. A negative power means you put the base over 1, so -1/2 to the third power. -1/2 * -1/2 * -1/2 = -1/8
47 is B. Same method as 43
64 is A. Just plug int he numbers for your variables in that equation and check to see which one does not work.

Rtael

Jun 16th, 2005, 11:31 PM

68. You typed in somethin wrong because the solution is not there. A + 3/5 = 2 is A = 7/5

Rtael

Jun 16th, 2005, 11:34 PM

73 is A. The equation of a line can be given in the form y = mx + b where m is the slope and b is the y-intercept. If you move A around, 5x - y - 2 = 0, you can get -y = -5x +2 and then multiply through by -1 to get rid of the negative on the y, because the -y makes the form wrong, you get y = 5x - 2. So -2 will be your y-intercept and 5 (AKA 5/1) will be your slope.

ys

Jun 16th, 2005, 11:35 PM

68. You typed in somethin wrong because the solution is not there. A + 3/5 = 2 is A = 7/5

I guess originally it was:

A+3 = 2
------
5

And that's the way he typed it.. Then the answer is obviosly B.

:)

gentenaire

Jun 16th, 2005, 11:35 PM

Those are easy questions! If you can't do them now, how on earth will you manage during your exams?

We helped you last time, clearly it didn't make you understand it considering you're asking for more help, so it's no use. If you don't understand it, ask your teacher.

We're not going to do your homework for you. By the time you typed all of this out, you could have solved it.

Rtael

Jun 16th, 2005, 11:37 PM

I guess originally it was:

A+3 = 2
------
5

And that's the way he typed it.. Then the answer is obviosly B.

:)

Yup, that would make sense. He should have typed (A+3)/5 = 2 to be clear.

Rtael

Jun 16th, 2005, 11:37 PM

I don't remember how to do the first and the last ones....those were never my specialty....I do know that parallel lines have the same slope... ;\

ys

Jun 16th, 2005, 11:38 PM

Those are easy questions! If you can't do them now, how on earth will you manage during your exams?

We helped you last time, clearly it didn't make you understand it considering you're asking for more help, so it's no use. If you don't understand it, ask your teacher.

We're not going to do your homework for you. By the time you typed all of this out, you could have solved it.

What surprises me.. In Russian schools this is a 4th-5th year term material.. Meaning it is supposed to be done by kids who are 10-11 years old.. Do we have kids that young on these boards? I feel kinda ashamed.. :o

Rtael

Jun 16th, 2005, 11:39 PM

Okay actually figured out the first one... x=3 and x=anything will be avertical line, so x=-20 is also vertical and thus parallel. :p

Rtael

Jun 16th, 2005, 11:41 PM

What surprises me.. In Russian schools this is a 4th-5th year term material.. Meaning it is supposed to be done by kids who are 10-11 years old.. Do we have kids that young on these boards? I feel kinda ashamed.. :o

I learned this stuff in 8th-9th grade and 'm in advanced math at my school, so we're just behind. :sad:

8th/9th grade would be 13/14 years old. Americans are just stupid I guess... :o

Hayato

Jun 16th, 2005, 11:42 PM

Those are easy questions! If you can't do them now, how on earth will you manage during your exams?

We helped you last time, clearly it didn't make you understand it considering you're asking for more help, so it's no use. If you don't understand it, ask your teacher.

We're not going to do your homework for you. By the time you typed all of this out, you could have solved it.

how would you feel? Just because you understand it doesn't mean daffodil does. Obviously you didn't explain it very well the first time. Daffodil didn't ask for you to do her homework for herself, she's merely asking for help. But then again, you know everything so you won't ever need help.

If you're not even going to try to help her, why post in here?

Hayato

Jun 16th, 2005, 11:44 PM

I learned this stuff in 8th-9th grade and 'm in advanced math at my school, so we're just behind. :sad:

8th/9th grade would be 13/14 years old. Americans are just stupid I guess... :o

i'm in advanced maths at school in grade 10, and i don't understand this. I wouldn't say americans are stupid, as they no doubt have learnt things that you wouldn't understand.

Rtael

Jun 16th, 2005, 11:45 PM

I am an American. :p

Hayato

Jun 16th, 2005, 11:45 PM

I am an American. :p

Well, other Americans have probably learnt other terms and formulas e.t.c that you haven't ;) and vise versa.

ys

Jun 16th, 2005, 11:47 PM

I learned this stuff in 8th-9th grade and 'm in advanced math at my school, so we're just behind. :sad:

8th/9th grade would be 13/14 years old. Americans are just stupid I guess... :o

Some of it can definitely be attributed to later than 4th-5th grade in Russian school ( such as a concept of, say, "slope", if I understand it correctly ), but some of it should be attributed to even earlier - elementary school period ( such as fraction questions, reciprocal , etc. - those are almost a kindergarten stuff, really)..

alexusjonesfan

Jun 16th, 2005, 11:49 PM

how would you feel? Just because you understand it doesn't mean daffodil does. Obviously you didn't explain it very well the first time. Daffodil didn't ask for you to do her homework for herself, she's merely asking for help. But then again, you know everything so you won't ever need help.

If you're not even going to try to help her, why post in here?

umm, there's other ways of asking for help than just 'do it for me and show your work'. If he/she isn't getting the concepts, he/she can ask about that, just getting the answers handed to him/her is useless.

UDiTY

Jun 16th, 2005, 11:49 PM

HEY!!!

I was wondering if anyone knew how to put the Quadratic Formula in your graphing calculator. Without getting it from somone else's calc.

Like it asks you what A,B and C are and then gives you x.

PM ME IF U KNOW!!!:D

Rtael

Jun 16th, 2005, 11:49 PM

Yeah some of it was easy but like.. negative exponents is more difficult, as is some of the slope stuff, atleast for me...but geometry was something I was never very good at. Anyway, FYI, slope is the slant of a line...i.e. if a line moves along the x-axis 1 unit and alone the y-axis 2 units the slope would be 2/1 or 2. If it was vice versa, the slope would be 1/2, etc.

Rtael

Jun 16th, 2005, 11:50 PM

Udity do you just need it to make it easier or do you need help remembering the formula? One of my teachers taught it to me in song form and it's very easy to remember. :lol:

Hayato

Jun 16th, 2005, 11:51 PM

umm, there's other ways of asking for help than just 'do it for me and show your work'.

i don't see that anywhere in this thread. :shrug:

ys

Jun 16th, 2005, 11:51 PM

Yeah some of it was easy but like.. negative exponents is more difficult, as is some of the slope stuff, atleast for me...but geometry was something I was never very good at. Anyway, FYI, slope is the slant of a line...i.e. if a line moves along the x-axis 1 unit and alone the y-axis 2 units the slope would be 2/1 or 2. If it was vice versa, the slope would be 1/2, etc.

In Russian middle schools we call it what would probably be called "derivative" then..

Rtael

Jun 16th, 2005, 11:52 PM

http://www.mathnotes.com/aw_combo_lesson16.html

There's to type it into your calculator, I think.

Rtael

Jun 16th, 2005, 11:54 PM

In Russian middle schools we call it what would probably be called "derivative" then..

Derivative is something different here...derivatives are something in calculus. Like if you have the equation x^5 + 4x^3 + 2 the derivative of that would be 5x^4 + 12x^2, using the simple power rule, though I don't have an explanation of what a derivative actually is, as I don't enter calculus until next year. :p

Rtael

Jun 16th, 2005, 11:55 PM

And the notation of finding a derivative is the ` mark, if that helps at all.

ys

Jun 16th, 2005, 11:56 PM

Derivative is something different here...derivatives are something in calculus. Like if you have the equation x^5 + 4x^3 + 2 the derivative of that would be 5x^4 + 12x^2, using the simple power rule, though I don't have an explanation of what a derivative actually is, as I don't enter calculus until next year. :p

"Derivative" is more general than "slope". "slope" is a derivative for lines.

alexusjonesfan

Jun 17th, 2005, 12:01 AM

for linear functions the derivative=slope

Rtael

Jun 17th, 2005, 12:01 AM

Oh....thinking about it, the Simple Power Rule actually does work for a line too....

cellophane

Jun 17th, 2005, 12:05 AM

Crap, I can still find slopes and reciprocals. :eek: Something is going right for me! :o :o :o

daffodil

Jun 17th, 2005, 01:32 AM

Probably because there are one million books and one million websites explaining the kindergarden math stuff he's asking for, so I don't see why any poster would waste time to start explaining everything.

He should go to the library, take books about it, try to understand something, and then if he has a specific question, he can then ask it.

What happened to the old good method of asking answers to someone in your class anyway?

I didn't ask for your rudeness. I don't think I deserved it either.

I went to the fucking computer to get help because it was the most convenient thing to do for me at the time. I'm not going to analyze every single life decision I have to make just so it agrees to what you want me to do.

Thanks for everybody else's help! :hearts:

Rtael

Jun 17th, 2005, 04:23 AM

Probably because there are one million books and one million websites explaining the kindergarden math stuff he's asking for, so I don't see why any poster would waste time to start explaining everything.

He should go to the library, take books about it, try to understand something, and then if he has a specific question, he can then ask it.

What happened to the old good method of asking answers to someone in your class anyway?

You are one of the biggest assholes on this board. I doubt anyone would ever help you. :tape:

ys

Jun 17th, 2005, 04:56 AM

Probably because about no one here would be able to help me doing the kind of math I do. :)

You must be doing some tensors or tensor fields then.. :)

Martian Willow

Jun 17th, 2005, 05:17 AM

How can x be -20? I made it -3. :confused:

cellophane

Jun 17th, 2005, 05:19 AM

How can x be -20? I made it -3. :confused:

You have to find the line which is parallel to x=-3, so that is x=-20. ;)

Martian Willow

Jun 17th, 2005, 05:23 AM

Oh right. I'll go back to bed. :o

bis2806

Jun 17th, 2005, 08:58 AM

Honeslty, you children are being very difficult. The poor kid was asking for a little Math help and you guys are being bitches about it. Help the kid, or leave the topic. No need to be smart-asses.

This kid has been asking for help on math questions before sometime ago, creating a similar thread to this :rolleyes: All we did was feed him the answers. Now that's help.

GoDominique

Jun 17th, 2005, 10:19 AM

gentenaire, Bree: I agree.

moby

Jun 17th, 2005, 12:20 PM

This kid has been asking for help on math questions before sometime ago, creating a similar thread to this :rolleyes: All we did was feed him the answers. Now that's help.Ditto.

tennislover

Jun 17th, 2005, 12:23 PM

You should be researching and looking into books, not asking for answers!

I bet you are a maths teacher..... :lol:

~ The Leopard ~

Jun 17th, 2005, 12:24 PM

Anyone here want to write my Ph.D thesis for me? ;)

moby

Jun 17th, 2005, 12:25 PM

You must be doing some tensors or tensor fields then.. :)Maybe harder. He might be working on the Riemann Hypothesis. :drool:
What field of Mathematics is everyone into?

tennislover

Jun 17th, 2005, 12:25 PM

Honeslty, you children are being very difficult. The poor kid was asking for a little Math help and you guys are being bitches about it. Help the kid, or leave the topic. No need to be smart-asses.

WELL SAID!!!!!!!!!!!!!!

~ The Leopard ~

Jun 17th, 2005, 12:28 PM

Really, though, we did the answers for him last time. He (or she?) can't do his work like this every time or s/he'll never learn anything.

tennislover

Jun 17th, 2005, 12:28 PM

Rtael :worship: :worship: :worship:

tennislover

Jun 17th, 2005, 12:33 PM

Really, though, we did the answers for him last time. He (or she?) can't do his work like this every time or s/he'll never learn anything.
You know, I share my experience:
I teach (humanities) in a state high school in which Maths and the other Scientific subjects are the priority.....
people who enroll in that school are supposed to be very good at Maths etc
well i have to say that 50% of them have got terrible problems with Math
so i realized just one thing:
MATHS is a devilish subject!
:scared:

moby

Jun 17th, 2005, 12:43 PM

Really, though, we did the answers for him last time. He (or she?) can't do his work like this every time or s/he'll never learn anything.I mean, I could go over the questions one by one like I did the last time, but I don't think that's what he/she is after. I don't even know if he/she read that, and he/she seemed pretty happy just to get some (wrong) answers.

Daffodil just wants the answer to get his homework done and over with, and doesn't care whether he/she learns a thing. :( What is going to happen during the exams then? What is he/she doing in class - I'm sure the teachers actually teach, no? And this topic is more straightforward than the last one too.

Andy_

Jun 17th, 2005, 01:54 PM

You know, I share my experience:
I teach (humanities) in a state high school in which Maths and the other Scientific subjects are the priority.....
people who enroll in that school are supposed to be very good at Maths etc
well i have to say that 50% of them have got terrible problems with Math
so i realized just one thing:
MATHS is a devilish subject!
:scared:

Kids who decide to go to a 'liceo scientifico' - which I assume is what you're talking about - do so coz they believe that kind of school will prepare them more or less for any uni study they might want to choose later on in their lives. Also, their teachers in the 'scuola media' and their parents may have advised them to do so. They don't necessarily have a talent for maths... in all their lives they've only been faced with arithmetics and a little bit of elementary algaebra and geometry, which explains why they can have a harder time when they are presented with real maths.
The main problem is that maths is a tough subject to teach the right way, and even more it's tough to have the students like it and appreciate what you can do with it... unluckily, often it's only when you get to do some maths in uni that you realize all that!

Geisha

Jun 17th, 2005, 02:42 PM

I mean, I could go over the questions one by one like I did the last time, but I don't think that's what he/she is after. I don't even know if he/she read that, and he/she seemed pretty happy just to get some (wrong) answers.

Daffodil just wants the answer to get his homework done and over with, and doesn't care whether he/she learns a thing. :( What is going to happen during the exams then? What is he/she doing in class - I'm sure the teachers actually teach, no? And this topic is more straightforward than the last one too.

Daffodil asked you to show your work so he/she can understand what he/she is doing. The kid needed help.

tennislover

Jun 17th, 2005, 07:02 PM

Kids who decide to go to a 'liceo scientifico' - which I assume is what you're talking about - do so coz they believe that kind of school will prepare them more or less for any uni study they might want to choose later on in their lives. Also, their teachers in the 'scuola media' and their parents may have advised them to do so. They don't necessarily have a talent for maths... in all their lives they've only been faced with arithmetics and a little bit of elementary algaebra and geometry, which explains why they can have a harder time when they are presented with real maths.
The main problem is that maths is a tough subject to teach the right way, and even more it's tough to have the students like it and appreciate what you can do with it... unluckily, often it's only when you get to do some maths in uni that you realize all that!

perfect analisys :worship:

yes the main problem is to teach maths the right way.....

tennislover

Jun 17th, 2005, 07:11 PM

Anyone here want to write my Ph.D thesis for me? ;)

:lol:
:hug:

moby

Jun 17th, 2005, 07:21 PM

Daffodil asked you to show your work so he/she can understand what he/she is doing. The kid needed help.I really am not sure the Internet is the best place for it though. Surely it is impossible for us to explain it as well as a qualified teacher, with the advantage of face-to-face interaction for spontaneous discussion of ideas.

I don't believe in spoonfeeding. If he/she wants our help, perhaps he/she could post his/her answers to the questions and explain the working. Then we will come in to correct him/her and explain the correct concepts. At least it shows effort, thought, and commitment to his/her work, which is essential in the study of any subject.

Then there's the problem of him/her asking a similar query before. The previous time it was 5 questions, this time it's a lot more (and the concepts are arguably simpler and less foreign) - I'm afraid it might become a bad habit to ask for extensive help on all his/her homework.

bis2806

Jun 17th, 2005, 10:27 PM

I bet you are a maths teacher..... :lol:

No I am actually a math person but I thought of becoming a math teacher once ;)

bis2806

Jun 17th, 2005, 10:29 PM

Actually Math is one of the easiest subject on Earth because "it always has an answer". The concepts of math is so logical and there's no two-ways about it.

tennislover

Jun 17th, 2005, 10:35 PM

No I am actually a math person but I thought of becoming a math teacher once ;)
:)

TF Chipmunk

Jun 17th, 2005, 10:36 PM

Actually Math is one of the easiest subject on Earth because "it always has an answer". The concepts of math is so logical and there's no two-ways about it.
Yes, there's always an answer to it, no trick questions. You just have to THINK, that's all. Some people obviously don't have the mental capacity for that.

gentenaire

Jun 17th, 2005, 10:36 PM

Anyone here want to write my Ph.D thesis for me? ;)

Considering I never actually finished mine....

Math rules!

tennislover

Jun 17th, 2005, 10:36 PM

Actually Math is one of the easiest subject on Earth because "it always has an answer". The concepts of math is so logical and there's no two-ways about it.

unfortunately millions of people don't find Math that easy... :shrug:

tennislover

Jun 17th, 2005, 10:38 PM

Considering I never actually finished mine....

OMG! it took 18 months+a huge amount of work to finish mine....

wurzelman

Jun 18th, 2005, 09:57 PM

I like number theory. And if anyone wants help up to A-level maths just PM me.

daffodil

Jun 19th, 2005, 12:27 AM

I really am not sure the Internet is the best place for it though. Surely it is impossible for us to explain it as well as a qualified teacher, with the advantage of face-to-face interaction for spontaneous discussion of ideas.

I don't believe in spoonfeeding. If he/she wants our help, perhaps he/she could post his/her answers to the questions and explain the working. Then we will come in to correct him/her and explain the correct concepts. At least it shows effort, thought, and commitment to his/her work, which is essential in the study of any subject.

Then there's the problem of him/her asking a similar query before. The previous time it was 5 questions, this time it's a lot more (and the concepts are arguably simpler and less foreign) - I'm afraid it might become a bad habit to ask for extensive help on all his/her homework.

Actually, most qualified math teachers (or at least mine) make math more confusing than it really is (my math teacher literally cannot teach, it's not just me. The class average is 54%). I think that the Internet is a great place to ask for math help because I get different opinions on how to do questions, and people can share their experiences with me.

Maybe to you, the questions that I was asking for help on were easier than the last questions. But, to me, and many of my friends, the y = mx + b stuff is an extremely difficult unit of study in mathemathics. Even my teacher said that y = mx + b will definitely be a large part of the exam, and it was the hardest unit during the school year.

I'm not asking for spoonfeeding. I was having trouble with the questions, and the most convenient thing to do, in my opinion, was the ask "the Internet" for help. I am not trying to cheap out my work. I agree that it is totally useless of me to just copy down the answers that you all have given me. I understand that I need to know the work to do well in the course.

If you don't want to help me, just don't post in the topic. I'm 15 years old. Do you honestly think I care about what you think of me? Nope...

But I handed in the assignment without any of your useful answers. Thanks, anyway.

GoDominique

Jun 19th, 2005, 12:39 AM

y = mx + b extremely difficult ???
Good luck then with everything that follows. :wavey:

gentenaire

Jun 19th, 2005, 10:58 AM

OMG! it took 18 months+a huge amount of work to finish mine....

18 MONTHS?!! You can finish a PhD in 18 months????!!!

Here it's usually 4 years, quite a few spend a lot longer on it. And we can only start a PhD after we've finished a Masters first.

It's one of the reasons I didn't finish it. I was going to be 28 by the time I would have finished. Getting your first job aged 28 seemed a bit late, in my book. + my subject was very theoretical and I often wondered what the use of it all was.

Pengwin

Jun 19th, 2005, 11:02 AM

y = mx + b extremely difficult ???
Good luck then with everything that follows. :wavey:

What the hell does b stand for?

In English it's y = mx + c (constasnt) ... :fiery:

bis2806

Jun 19th, 2005, 11:32 AM

Yes It's y = mx + C, and sometimes americans love to change things around. They call the "power" of a number something else - I forgot.

tennislover

Jun 19th, 2005, 05:14 PM

18 MONTHS?!! You can finish a PhD in 18 months????!!!

I know, I know: after finishing it, i felt like Mathusalem.... :lol: