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ok but still...

no you can 2^(1/4) is the fourth root of 2

I don't think you can do anything more.

\(x - 6 = {√(3x)}\)

square both sides ===> x^2 + 36 - 12x = 3x ===> x^2 - 15x + 36 = 0 ===> (x - 3)(x - 12) = 0 ===> x = 3, 12

x(2x-7)=8

2x^2 - 7x = 8

2x^2 - 7x - 8 = 0

Using the quadratic formula \(\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\) 

\(\frac{7 \pm \sqrt{49+64}}{4}\) 

\(\frac{7 \pm \sqrt{113}}{4}\) 

\(\frac{7 + \sqrt{113}}{4}\) and \(\frac{7 - \sqrt{113}}{4}\) 

So m = 7 n = 113 p = 4

7 + 113 + 4 = \(\boxed{124} \)

that answer is wrong, sorry :(

annnnnd post the answer on the old post pls 

The area is 4*pi - 10, which rounds to 2.6.

The remainder when P(x) is divided by x + 5 is -32.

The x- and y- distances for the points of Point B are 12 more and 6 more than Point A. Because the length of BC is three times the length of AB, that means that the magnitude is also 3 times what it is now, 12 and 6. Calculate that, and it will be 36 and 18. Adding that to coordinate B for the x and y respectively gives the answer of (50, 22).

~~HN

(a) The common difference is 1/n.

(b) a_{n + 1} = (n + 1)/n.

Confusingly written question !

When Mark  gave half of her (?)  pencils to James, he then had 12 fewer pencils than he had...

    if Mark gives away 1/2 and has 12 less....then Mark had 24 to start .

The cone will now hav a circumference of    pi * 30  -   pi*30 (144/360) = 56.549 units

    this will be a diameter of     56.549/pi   = 18        radius of  9  units

the side length will still be 15  units

sin of 1/2 of the vertex =  opp / hyp = 9/15   

   arcsin (9/15 ) = 36.87 degrees                              2 x 36.87 = 73.74 degrees            

Four jacks out of 52      1/13

four queens out of 51    4/51

four kings out of 50        4/50            Multiply the reds and simplify....

The domain is all 'x' except the value of x that causes the denominator to be equal to zero

(-inf,4) U (4, + inf)

32 u^5 - 80 u^4 + 80 u^3 - 40 u^2 + 10 u - 1
 

P   N   Q

0   1   3 ==[0  +  5  +  75] / 4 ==20 cents - their mean value.

0   1   4 ==[0  +  5  + 100] / 5==21 cents - their mean value after adding a quarter.

The original number of quarters was==3

\(11^5-floor(\frac{11^5}{9})\times9=5\)

Mark had 96 pencils

Complex roots come in complex conjugate pairs, so expand

\((x-2)(x-8i)(x+8i)\)

I agree!

1/42 chance is the answer. The 5 numbers chosen are all bigger than 3.

Moving x and y terms to one side gets this: x^2-6x+y^2+18y = 127

completing the square: (x-3)^2+(y+9)^2 -9-81 = 127

Finally: (x-3)^2 + (y+9)^2 = 217

Now you can finish it up yourself.

Note: You can also view this graph visually as both forms overlap fully

Spot the pattern:

... etc.