All Answers 358098 Answers

Oh really? I've always seen it as a line over the top.

It might be different in different places around the globe too.

Ah I see my error, CPhill.

Must have just done it a little too fast.

Well the formula for finding a slope is y=mx+c.....M being slope

Well the formula for finding a slope is y=mx+c.....M being slope

The lateral surface area is given by

5 * s * h    where s is the length of one side and h is the height

A right isosceles triangle consists of a 90 degree angle and two 45 degree angles. When you say "slope," exactly what do you mean??

Could you provide a pic or description??

x^3 - 9x^2 + 15x +4

In general, there is no specific technique that might produce a solution.  There is a method that sometimes works, but it can be tedious.

The fastest way is to set this to 0  and use a "solver" to see if there are any roots...here's a graph of the roots:

Notice the roots.....the (approximate) factorization is  (x + .233) (x - 2.577)(x - 6.656).....

There's very little chance that you could ever "guess" this one !!!!!

In general....I'd let this one go.......

No melody only you are allowed to use Australian language its only right

$$\frac{1}{3}=0.\dot3$$

This is read as 0.3 repeater OR  0.3 recurring.

The dot means that the 3 repeats for ever!

(Ninja, you said a line, I've never seen that before, I've only ever seen a dot used.)

thanks Ninja

That is only an approximation. 

sqrt(95) is an irrational number and cannot be represented exactly with digits.

answer

$$\sqrt{95}=\sqrt{95}$$

What if KOOL-AID is an Aussie.  Can he use it then?  (Im assuming he - correct me if i am wrong please)

Rosala, this mith be a good one for you to learn from.  Start with mine before moving to Chris's.

h^2+6h-16=0

in order to factorise this you have to look for 2 numbers that multiply to -16 and add to 6

Since they mult to a negative - one must be neg and the other positive.

Since they add to a positive the |bigger one| must be positive.

The obvious solution then becomes +8 and -2

(x+8)(x-2)=0

Now continue with CPhill's method.

I don't think much of your answer Troll but the pic is great.  Unfortunately it doesn't come up well when you shrink it for your avatar.  That is a pity!

This can't be precisely determined because we have more equations than variables.

For example .....s could be 7, p could be 3, and f could be 2

Or.....s could be 7/2 , p could be 6, and f could be 4

This will always be the case for a system when we have more variables than equations......we will have an infinite number of solutions  (I believe that this is known as an "underdetermined" system)

We can set this up as a ratio problem.

45 problems / 18 minutes  =  W problems / 1 minute     ....  cross multiplying, we have

45 * 1  = 18 * W

45 = 18W       ....    divide both sides by 18

45/18 =  W  =  5/2   =  2.5 problems in one minute

First....we are dividing the width of the shelf by the width of each  book  ....  this gives  ....

33 /(1 +3/8) =

(33 / 1)  /  (11 / 8)      Invert the fraction in the denominator and multiply by the fraction in the numerator

(33/1) * (8/11)      cross-cancel the "33" with the "11"

(3/1) * (8/1) = 24 books

4x^3 - 15x^2 + 2x +21 =

(4x-7)(x+1)(x-3)

I'll attempt to derive a "formula" for calculating this......

First, let's assume that all deposits are made at the first of the month (an "annuity-due")

Let "d" be the monthly deposit and let r be the geometric difference between successive terms of the sums in the annulty calculation. So, the sum of this annuity is given by:

S = [dr + dr^2 + dr^3 + ..... + dr^(n-1) + dr^(n) ]   where n is the number of months over the life of the annuity

Now, multiply this sum by (1/r) =

(1/r)S = (d + dr + dr^2 + .... + dr^(n-2) + dr^(n-1) ]

Subtracting the second sum from the first, we have

(1- 1/r)S = [-d + dr^(n)]  

(1 - 1/r)S = d [r^(n) - 1]

S = d [ r^(n) -1 ] / [ 1 - 1/r ]

S = d*(r) [ r^(n) -1 ] / [r - 1]

So.....d = 375    and r = (1 + .042/12) = 1.0035  and  n = 180    ...  So we have

S = 375(1.0035)[ 1.0035^(180) - 1 ] / [.0035]  ≈ $94,136.88

That's my best attempt......!!!!!!

Thanks for including that reference at the bottom, ND......

Excellent, ND !!!

That was one that could trip you up pretty easily if you're not careful........

"Thumbs" and Points......

I/m assuming that a = 2 + 3/4  = 11/4    ...    so we have

ab =  (11/4) * (4/5) .......cross-cancelling the "4s," we have .... 11/5   (or, 2 + 1/5, if you prefer)

Always check and see if you can "cancel" before you multiply....it simplifies things greatly......