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Yep......any integer ratio [ assuming the numerator/ denominator isn't 0 ] can always be expressed as either a terminating decimal, or one that has a repeating pattern

If the denominator can be factored in terms of 2 and/or 5  only, the decimal expression of the fraction terminates.....otherwise, the decimal representation of the fraction has a repeating pattern

Since 26 factors as 13 * 2.......the denominator isn't expressed in terms of 2 and/or 5 only, so we have a repeating pattern

simplify (sqrt(sqrt3(2^2), 4 

to get the real form copy the question and paste it in the scientific calculator you will get the question...................

Here's another way to see this :

Let's assume that they are equal and show by contradiction that this can't be true.........

Let 5^421  = x     and    4^521 = x    take the log of both sides of these and we have :

log(5)^421  = x                                    log(4)^521 = x

And we can write

421log(5)  = log (x)                                521log(4) = log (x)

294.26  = log(x)                                     313.67 = log (x)

And it's clear that the expression on the right is larger than the expression on the left....i.e., 4^521 > 5^421

Let the points scored by Stephen = S and those scored by John = J.....then......

J  =  2S - 8

Using the fact that (a / b )^n  = (a)^n / (b)^n, we have :

(2/3) ^3  = (2)^3 / (3)^3   = 8 / 27

Perhaps your question is asking to factorise the quadratic equation 6x^2 - x - 2 = 0 which would be the first step to solving said equation. You would therefore arrive at (3x - 2)(2x + 1) = 0

Good to see you back, Rosala.......hope you're feeling better........

\(\frac{3*2*2}{3}=2*2=4\)

sin(theta) = cos(90° - theta) = 1/sec(90° - theta)    

Note that cos(90° - theta) = cos(90°)cos(theta) + sin(90°)sin(theta) = 0*cos(theta) + 1*sin(theta) = sin(theta)

15 fr.   =>    $ 22.50

  1 fr.   =>    $ 22.50 : 15 =  $ 1.50

  8 fr.   =>    $ 1.50 * 8     =  $ 12.00

Gruß radix !

Density is mass/volume, so calculate the volume:  vol = 3*6*4  (you haven't provided the units!) and mass = 80 (again you haven't provided the units) so density = 80/(3*6*4) = 1.111... mass units per cubic length units.

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Any line perpendicular to y = (2/3)x + 9 will have slope -3/2, so its equation will be y = -(3/2)x + c where c is a constant, different for each line.

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Your answer is:

x=2/5

sin(x)=.2588,You find the Inverse Sine of .2588=15 degrees.

3*2*2/3,

Try this: (3 X 2 X 2) / 3=4 OR,

(3 X 2) X (2/3)=4

How about:

-26, -28, -30

find three consecutive even integers with the sum of -84

\(\begin{array}{rcl} (n-2)+n+(n+2) &=& -84\\ 3n&=&-84\\ n &=&- 28 \end{array}\)

The three consecutive even integers are:  \(-26-28-30 = -84\)

PLEASE ALWAYS PUT THE TOP & THE BOTTOM EXPRESSIONS IN BRACKETS. OTHERWISE YOU WILL GET QUITE DIFFERENT ANSWER. THANKS.

The 1st. is the squares of counting numbers, 1,2,3,4,5........etc so the next No. 6 X 6=36......and so on.

The 2nd. one is called the Fibonacci Series: 1,1,2,3,5,8,13,21.......each number is sum of the two previous numbers, so the next No. will be 21 + 13=34.......and so on. SORRY, I MADE A SMALL MISTAKE IN ADDING!!.

The 1st. is the squares of counting numbers, 1,2,3,4,5........etc so the next No. 6 X 6=36......and so on.

The 2nd. one is called the Fibonacci Series: 1,1,2,3,5,8,11,19.......each number is sum of the two previous numbers, so the next No. will be 19 + 11=30.......and so on.

IF YOU BRACKET BOTH THE NUMERATOR AND THE DENOMINATOR, THEN THE RESULT IS DIFFERENT:

x/(3 (a-b))

whats the square root of 289 over 49

Take the sqrt of  (289 / 49)= sqrt of both top AND bottom= 17/9=1 8/9

Question: shouldn't we subtract instead of divide, as so: (yes / no?)

[36a^6b^14] / [6a^2b^7] =

[36/6] * [a^6 - a^2] * [ b^14 - b^7] =

6a^4b^7

(4a^6b^10)/(24a^2b^5) =IF YOU BRACKET BOTH SIDES, THEN IT IS:

(a^4 b^5)/6