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3.99325 x10^5

Just a guess    210???

Not sure I know what this is....can you clarify?     Is it multiplying  2.25 times a ratio?

This is a re-post....see previous answer

Here is ONE way:       R = V / I

Not sure I know what  ' 20.22.24.26 '    is....are they supposed to be multiplied?  If so then

20*22*24*26+16 = 274576    Now take the sqrt

=sqrt(274576) = 524

4 = -2x + 26x    re-arrange

   = 26x - 2x      combine

4  = 24x            divide both sides by 24

4/24 = x             simplify

x = 1/6

3.28 × 10²⁰ x2 = \(6.56*10^{20}\)

78892+488-65+-56

=78892+488-65 - 56

What is 17/2 lb and 3/4 gal as a unit rate?

\(\frac{\frac{17}{2}lb}{\frac{3}{4}gal}=11{\frac{1}{3}}\frac{lb}{gal}\)

\(\frac{1kg}{m^3}=\frac{0.010022413122466lb}{gal}\)

  !

yes

 ln does mean log base e 

Ok Tony,

I'm sorry I was grumpy about it but please be careful to avoid doing it.

And when you notice that it has happened just tell people to answer on the first (other) thread :)

I get what you're doing but how can I put this into maths:

Set both factors to 0 and the only solution to this that makes sense is that   a = 12   cm

Ah....I missed that......shame on me......let  me try again........!!!

a^2 + (a-3)^2 = 15^2   expand

a^2 + a^2 −  6a + 9 =  225   simplify

2a^2  − 6a  − 216  = 0   divide by 2  on both sides

a^2 −  3a − 108  = 0    factor

(a  − 12 ) ( a + 9)   = 0 

Set both factors to 0 and the only solution to this that makes sense is that   a = 12   cm

And     b =  a − 3   =  12 −  3   =  9 cm

Note, Tony......we are interested in the values of the parabola that are greater than 0......another way of denoting this is :

(−inf, 2 - √3 )  U ( 2 + √3 , inf )

Here are the solutions from the book:

One side is 9cm and the other 12cm.

Also, I think you forgot to square the hypotenuse when starting. That might be the problem...

Note   ......we can't  have that

a = b −3    and   b  = a − 3

Rearranging the first, we have that  b = a + 3

But  b can' t equal a − 3  and  a + 3  at the same time !!!

So...I will assume that    b =   a − 3 

a^2 + (a-3)^2 = 15   expand

a^2 + a^2 −  6a + 9 =  15

2a^2 − 6a  −  6  = 0

a^2 − 3a − 3   = 0     the only solution to this that makes sense is that   a = [ 3 + √21 ] / 2  cm

And b =     a − 3  =   [ 3 + √21 ] / 2   − 3     =  [ − 3 + √21 ] / 2  cm

Huge thanks for your help!

Only thing:

wouldn't it be 

2+sqrt3 "greater or equal to" x "lesser or equal to" 2-sqrt3

 2+sqrt3 <   x < 2-sqrt3

???

This is the formula you use to calculate this:

PV=P{[1 + R]^N - 1.[1 + R]^-N} R^-1}

291,584 =P x [1 + 0.0444/12]^(20*12) -1 x [1 + 0.0444/12]^-(20*12) x (0.0444/12)^-1}

291,584 =P x       1.4262849                    x          0.412152752          x    270.270

291,584 =P x 158.8776342

P =291,584 /  158.8776342

P = $1,835.27

-2/9-(-2)  =

 [ - 2 / 9]  + 2             [2 = 18/9]

 [ - 2 / 9] + [18 / 9]  =

16 / 9

Note :     10 + 1/2  =   [21/2]     and [21/2] * (1/2)   =    21/4   =  5 + 1/4 

So.........the amount  of cedar he normally uses  has been halved

......then.....the normal amount of redwood just needs to be halved, as well

So.....

6 + 1/3  =   19/3      and   [19/3] * (1/2)  =  19/6  =   3 + 1/6  ft of redwood

I am sorry.

I had this bug happening with 2 threads:

I post something, then it doesn't appear in my watchlist.

So I automatically assumed it wasn't posted at all and reposted.

I will be more careful I promise.

Another repeated question Tony !!

This is really rude!

If you double post by accident then answer yourself explaining what your have done and tell people to answer on the other thread!

Let's compute the perimeter  =  2 (L + W)

And we have   2 (9/64 + 1/32)   =      ......  [1/32 = 2/64] ........

2 (9/64 + 2/64)  =

2 ( 11/64)  = 

22/64    [do not reduce !!!]

Length / Perimeter  =    [9/64] / [ 22/64]  =  [9/64] * [64/ 22]  = [64/64] * [9 / 22]   =  1 * 9/22 = 9 / 22

Width / Perimeter  =    [2/64] / [ 22/64]  =  [2/64] * [64/ 22]  = [64/64] * [2 / 22]   = 1 *  1 / 11  = 1 / 11

I just realized that this poorly worded question was asked just a few questions back.

It is a repeat!

DO NOT DO THIS TONY - IT IS RUDE!