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Nairaland Mathematics Clinic - Education (206) - Nairaland

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Re: Nairaland Mathematics Clinic by stlaibrowne(m): 2:42pm On Nov 15, 2015
LORDDICE:



u Also a madmatician ?

Well I am not madmatician. But I strongly love it maybe mathemagician yes

1 Like

Re: Nairaland Mathematics Clinic by Laplacian(m): 2:57pm On Nov 15, 2015
MathsChic:

Problem 2
(√2+√11+√13)(√2+√11-√13)(√2-√11+√13)(-√2+√11+√13)
=-(√2+√11+√13)(√2+√11-√13)(√2-√11+√13)(√2-√11-√13)

=-(√2+√11+√13)(√2+√11-√13)(√2-√11+√13)(√2-√11-√13)

=-((√2+√11)2-(√13)2))((√2-√11)2-(√13)2)
=-(2+11+2√22-13)(2+11-2√22-13)
=-(2√22)(-2√22)
=4.22
=88 cheesy
can u write out one or two of his other questns?
Re: Nairaland Mathematics Clinic by stlaibrowne(m): 2:58pm On Nov 15, 2015
ladokuntlad:

(2x-1)2(x-1)2(2x+7)pie

-1 and not +1


Yes I made mistake when copying out the question I copied the question wrongly

Re: Nairaland Mathematics Clinic by Nobody: 3:05pm On Nov 15, 2015
Laplacian:

can u write out one or two of his other questns?
Laplacian, welcome back.
Re: Nairaland Mathematics Clinic by Laplacian(m): 3:13pm On Nov 15, 2015
Karmanaut:

Laplacian, welcome back.
tnx bro...along wit Benbuks, i luv ur efforts here so much; seems we 've lost most of our generals
Re: Nairaland Mathematics Clinic by stlaibrowne(m): 3:48pm On Nov 15, 2015
all4naija:

Please, show how you arrive at that. I don't think that is the correct answer.

Yes I copied the question wrongly
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 4:12pm On Nov 15, 2015
all4naija:

How is that correct when the radius R is 2x 2 - 3x + 1 ?
U jst square it dats all
And mind u breaking down 2x2-3x+1 give (2x-1)(x-1)
And square it
Re: Nairaland Mathematics Clinic by MathsChic(f): 4:27pm On Nov 15, 2015
ladokuntlad:

taaah
u ar too big for dat question naaa
leave it for babies

attempt odas
hahaha. But come on, lol.
Anyways, was just looking for the easiest as I'm pretty occupied with other stuff. Working on the others... smiley
Re: Nairaland Mathematics Clinic by MathsChic(f): 4:28pm On Nov 15, 2015
stlaibrowne:


(2x+1)(x+1)(2x+1)(x+1)(2x+7)pie
pi
Re: Nairaland Mathematics Clinic by MathsChic(f): 4:30pm On Nov 15, 2015
masperano:
I am not comfortable with the 'log cancels log' thingy, albeit i know what you mean. I thought they should be a better explanation for that
You are quite correct. Was just about to also mention that.
Re: Nairaland Mathematics Clinic by jackpot(f): 4:31pm On Nov 15, 2015
Karmanaut:

Yeah, a programmable calculator.
Looks like this:

Costs $223(Approximately #45, 000) on Amazon.
badass calculator

1 Like

Re: Nairaland Mathematics Clinic by Blackeard(m): 4:31pm On Nov 15, 2015
Wow I've found Narnia
Re: Nairaland Mathematics Clinic by MathsChic(f): 4:31pm On Nov 15, 2015
Karmanaut:

Yeah, a programmable calculator.
Looks like this:

Costs $223(Approximately #45, 000) on Amazon.
Cool device.
I like the way you solve most questions with graphs. Your approach reminds me of Descartes.
Re: Nairaland Mathematics Clinic by stlaibrowne(m): 4:55pm On Nov 15, 2015
MathsChic:

pi


Yea right
Re: Nairaland Mathematics Clinic by stlaibrowne(m): 4:57pm On Nov 15, 2015
Question: the result when a number is divided by 2 is the same result when that number is divided by 4 what is the number?
Re: Nairaland Mathematics Clinic by MathsChic(f): 5:03pm On Nov 15, 2015
ladokuntlad:
The integer n is the smallest positive multiple of 15 such that every digit of n is either 0 or 2. Compute n/15


Okay, for integer n which is the smallest positive multiple of 15 such, and has only 0 or 2 as digits, we need to look at possible solutions.
Firstly though, we can assume multiplicant m, to give m*15 = n.

In order for multiplicant m to give integer n, we can see that multiplicant has to end with an even number, i.e. set of (2,4,6,cool. Termination in an odd number will give integer n which has a '5' in its digits.

Secondly, n has to be divisible by both 5 & 3. This means that n (which is made up of only 0 & 2) can only end in a '0' and not a '2'.

So, we have *****0 as the n we are looking for. This makes '20' available as possible number. Obviously not the answer, anyways.

Again, number in tenth position cannot be a '0', hence n/5 will produce another number which will end in a '0' and will not be divisible by '3'.
So, we can only have ****20.

Next, we can attempt 220. 220/5 = 44 which is not divisible by 3.

So, we move on with ***220. We have next, 2220 or 2020. 2020/5 = 404 which is not divisible by 3.

However, 2220/5 = 444 which is divisible by 3.

Sorry, Edit: Hence, smallest multiple n is 148 cheesy
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 5:05pm On Nov 15, 2015
MathsChic:



Okay, for integer n which is the smallest positive multiple of 15 such, and has only 0 or 2 as digits, we need to look at possible solutions.
Firstly though, we can assume multiplicant m, to give m*15 = n.

In order for multiplicant m to give integer n, we can see that multiplicant has to end with an even number, i.e. set of (2,4,6,cool. Termination in an odd number will give integer n which has a '5' in its digits.

Secondly, n has to be divisible by both 5 & 3. This means that n (which is made up of only 0 & 2) can only end in a '0' and not a '2'.

So, we have *****0 as the n we are looking for. This makes '20' available as possible number. Obviously not the answer, anyways.

Again, number in tenth position cannot be a '0', hence n/5 will produce another number which will end in a '0' and will not be divisible by '3'.
So, we can only have ****20.

Next, we can attempt 220. 220/5 = 44 which is not divisible by 3.

So, we move on with ***220. We have next, 2220 or 2020. 2020/5 = 404 which is not divisible by 3.

However, 2220/5 = 444 which is divisible by 3.

Hence, smallest n is 2220.
clap for ursef joor.
good girl
so answer= 148



Wat course did u study bak in skul?
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 5:07pm On Nov 15, 2015
stlaibrowne:
Question: the result when a number is divided by 2 is the same result when that number is divided by 4 what is the number?
I can only think of zero grin grin grin grin grin grin grin
Re: Nairaland Mathematics Clinic by Nobody: 5:07pm On Nov 15, 2015
stlaibrowne:
Question: the result when a number is divided by 2 is the same result when that number is divided by 4 what is the number?
0.
Re: Nairaland Mathematics Clinic by stlaibrowne(m): 5:10pm On Nov 15, 2015
Karmanaut:

0.

ladokuntlad:

I can only think of zero grin grin grin grin grin grin grin

Give a logic for your answer
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 5:14pm On Nov 15, 2015
stlaibrowne:




Give a logic for your answer
dats the only number dat serves as a division identity to all numbers i.e the only number dat givs same ansa wen divided by any number

1 Like

Re: Nairaland Mathematics Clinic by MathsChic(f): 5:15pm On Nov 15, 2015
ladokuntlad:
Briony takes a standard pack of 52 cards and throws some cards away. However she makes sure she keeps all four aces among the remaining cards. She then selects four cards at random from these remaining cards. If the probability of her selecting the four aces is 1/1001, how many cards did she throw away?

Let number of cards Briony now has be x.
Probability of selecting four aces in a row in pack is

(4/x).(3/(x-1)).(2/(x-2)).(1/(x-3)) = 1/1001
24/(x.(x-1).(x-2).(x-3))=1/1001

x.(x-1).(x-2).(x-3)=24.1001
x=14 is a positive solution. Others are negative and complex.

Hence Briony has 14 cards. She had 52 before and so must have thrown away 52-14 = 38 cards.

Not too sure about answer sha tongue
Re: Nairaland Mathematics Clinic by MathsChic(f): 5:17pm On Nov 15, 2015
Laplacian:

can u write out one or two of his other questns?

Each of the interior angles of a heptagon (a seven-sided polygon) is obtuse and the number of degrees in each angle is a multiple of 9. No two angles are equal. Find in degrees the sum of the largest two angles in the heptagon.

Let abcd be a four digit number with the following properties: a + b + c + d = ab = c x d, where ab denotes the two-digit number 10a + b. What is the remainder when the largest number with these properties is divided by 1000?
Re: Nairaland Mathematics Clinic by MathsChic(f): 5:19pm On Nov 15, 2015
ladokuntlad:

clap for ursef joor.
good girl
so answer= 148



Wat course did u study bak in skul?
Hahaha cheesy
It's quite an easy question though. I studied Elect Engr. smiley
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 5:19pm On Nov 15, 2015
MathsChic:


Let number of cards Briony now has be x.
Probability of selecting four aces in a row in pack is

(4/x).(3/(x-1)).(2/(x-2)).(1/(x-3)) = 1/1001
24/(x.(x-1).(x-2).(x-3))=1/1001

x.(x-1).(x-2).(x-3)=24.1001
x=14 is a positive solution. Others are negative and complex.

Hence Briony has 14 cards. She had 52 before and so must have thrown away 52-14 = 38 cards.

Not too sure about answer sha tongue
jst a little tweaking needed
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 5:24pm On Nov 15, 2015
MathsChic:

Hahaha cheesy
It's quite an easy question though. I studied Elect Engr. smiley
Now is see.
dat means u are limited to applied maths
because i av some pure maths questions here which is my field.
Or can u attempt d maths Olympiad advance level?
Re: Nairaland Mathematics Clinic by MathsChic(f): 5:29pm On Nov 15, 2015
ladokuntlad:

Now is see.
dat means u are limited to applied maths
because i av some pure maths questions here which is my field.
Or can u attempt d maths Olympiad advance level?
Why not? I do pure and applied.
Re: Nairaland Mathematics Clinic by MathsChic(f): 5:30pm On Nov 15, 2015
ladokuntlad:

jst a little tweaking needed
What's wrong with the solution?
Re: Nairaland Mathematics Clinic by stlaibrowne(m): 5:44pm On Nov 15, 2015
ladokuntlad:

Now is see.
dat means u are limited to applied maths
because i av some pure maths questions here which is my field.
Or can u attempt d maths Olympiad advance level?

Drop them
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 5:45pm On Nov 15, 2015
MathsChic:

What's wrong with the solution?
U getting the answer with graph calculstors or software is wat is wrong with it
Instruction says dont use any calculator or electrical devices
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 5:47pm On Nov 15, 2015
stlaibrowne:


Drop them
Well there is currently no light
So i cant upload for now

I bet most of us will spend weeks getting solution to some of them.

PS: the ones av been uploading are secondary level olympiad. Bt as u av made mention of me dropping advance levek, i will gladly do dat
Re: Nairaland Mathematics Clinic by stlaibrowne(m): 5:52pm On Nov 15, 2015
ladokuntlad:

Well there is currently no light
So i cant upload for now

I bet most of us will spend weeks getting solution to some of them.

PS: the ones av been uploading are secondary level olympiad. Bt as u av made mention of me dropping advance levek, i will gladly do dat

The challenge is allowed. And that's the more reason I love the course after all so bring it on. I am on the altar now praying they bring the electricity early

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