All Answers 358514 Answers

23^4 - 1 or

$${{\mathtt{23}}}^{{\mathtt{4}}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{279\,840}}$$

This answer is in base ten of course!

Make sure to do it step by step.

17 - 2 = 15

4 + 6 = 10

15 x 10 = 150

Now you divide is by 2 and you get 75. :)

2x=1.5(x+6)   I know it equals 18, but how? Where did I go wrong ?

2x = 1.5  * ( x + 6 )  |   * 2

4x =  3    * ( x + 6 )

4x =  3 * x   + 3 * 6

4x = 3x + 18      |    -3x

4x - 3x = 18

1x = 18

x = 18

2x=1.5(x+6)   distribute the 1.5 across the terms in the parentheses

2x = 1.5x + 9  subtract 1.5x from  both sides

.5x  = 9       note that  .5= 5/10  = 1/2

(1/2) x = 9      multiply both sides by 2

x = 18

And that's it !!!

No prob....

Ignore the signs....take the "bigger' thing  and subtract the "smaller" thing....so we have

27.4 - 15.8  =  11.6

Now..ask yourself the question....what was the sign on the "bigger" thing.....a "negative," right??

Then...that's the sign we use for our answer....!!!  ( -11.6 )

This method always works when we have numbers with different signs......

thanks so much

Let x be the age of the daughter.....then 4x is the age of the mother

And in 12 years, we will have

(4x + 12) = 2(x + 12)  simplify

4x + 12 = 2x + 24    rearrange

2x = 12   divide by 2

x = 6

So...her mother is 4x = 4(6) = 24

Let the today's age of the mother be M and the daughter be D

M       =4D

M+12=2(D+12)

subtract

0 -12=4D-2(D+12)

   -12 = 4D-2D-24

    -12= 2D-24

    12=2D

     D=6

      M=4*6=24

the daughter is 6 and the mother is 24

multiply both sides by 10 and then subtract 7 from both sides.

That will do it 

Can you try and show us your working so that we can help you see what you are doing wrong please.

$$\\1-2\times\frac{\sqrt{10}}{4}+\sqrt{10}\\\\
=1-\frac{\sqrt{10}}{2}+\frac{2\sqrt{10}}{2}\\\\
=1+\frac{\sqrt{10}}{2}\\\\
=\frac{2+\sqrt{10}}{2}\\\\$$

do you want to convert seconds to minutes?

you have to divide by 60  so your answer would not be correct.  

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OH

is it seconds to milliseconds

there are 1000 millisecs in a sec 

there is going to be a lot more milliseconds than seconds (because the unit is smaller)

so you will need to multiply by 1000.    No you answer is not correct.  Your answer got smaller not bigger 

REMEMBER:

IF THE UNIT IS BIGGER THEN THERE WILL BE LESS OF THEM SO DIVIDE  

IF THE UNIT IS SMALLER THEN THERE WILL BE MORE OF THEM SO MULTIPLY 

8*52=2*2*2     *2*2*13 = 2^5*13

and

416=2*208=2*2*104=2*2*2*52=2*2*2*4*13 = 2*2*2*2*2*13 = 2^5*13

so they are equal    

Yes I was't thinking that it would be much use for Mathematician.  LOL

8b + 2x = 6x - 4a    subtract 2x from both sides.....add 4a to both sides

8b + 4a = 4x          divide everything by 4

2b + a  = x

We need to see if the sum of the squares of the two shorter sides  =  the square of the longest side

20^2 + 21^2 = 29^2  ???

400 + 441 = 841

And that's true.....so....we have a right triangle....

I've done it with Calculus, before......but...since "Mathematician" hasn't had trig......I doubt that Calculus would do him much good, either......LOL!!!

I had a thought Chris,  we (well Alan or Heureka) could probably do this with calculus as well.   

others that are similar

Just ignore this junk, jillybean.....it's NEVER going away....believe me !!!

Beat me - how many trees in an acre?

You do first, last, inner then outer. FOIL     so 6y x 3y = 18y squared.  then 2 times one equals 2.  then 6y times one = 6y then  2 times 3y equals 6y. so you have 18ysquared + 6y + 6y + 2   combine like terms and you get. ...18y squared + 12y + 2...

Note in the pic below that FH = (1/2)s    where s is the side length

And also that DA =  AF = r = 4.5

So we have, by the Pythagorean Theorem

AF^2 =  (1/2)s^2 + AH^2

4.5^2 = 20.25 = (1/2)s^2 + AH^2

AH^2 = 20.25 - (s/2)^2

AH = √(20.25 - (s/2)^2 )

Therefore, again using the Pythagorean Theorem, we have

s^2 = (s/2)^2 + [DA + AH]^2

s^2 = (s/2)^2 + ((4.5 + √(20.25 - (s/2)^2 ))^2

(3/4)s^2 = 20.25 + 9 √(20.25 - (s/2)^2 ) + 20.25 - (s/4)^2   (add (s/4)^2 to each side)

s^2 = 40.5 + 9 √(20.25 - (s/2)^2 )  subtract 40.5 from each side

s^2 - 40.5  = 9 √(20.25 - (s/2)^2 )   square both sides

(s^2 - 40.5)^2 = 81 (20.25 - (s^2)/4)

s^4 - 81s^2 + 1640.25 = 1640.25 - (81/4)s^2

s^4 - 81s^2 + (81/4)s^2 = 0

s^4 - (243/4)s^2 = 0

Factor

(s^2) (s^2 - (243/4)) =0   one solution is s = 0 .... reject this

So we have

(s^2 - 243/4) = 0

s = (1/2)√243 = (1/2)(9)√3 = 4.5√3 = 7.7942286340599478

Here's a pic....(the angles are not exact..it's just to give you a feel for the geometry of the problem)

Use pythagoras's Theorem to check it and if you don't know what that is I suggest you google it.