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To express this term in simplest radical form one must rationalize the denominator To do this, you must multiply by an appropriate form of the number 1....in this case, you would multiply by (√2/√2)   1+(√2/√2)x(1/√2)   ANSWER: 1+(√2/2)

(5√50)/3  + √2  -  3√18   Change everything to the appropriate form of √2   (5√25√2)/3  + (1√2)  + (3√9√2)  5x5x√2  +  1√2  +  3x3x√2   (25/3)√2 + 1√2 + 9√2    (25/3)√2 ...

5x^2-3=0    (Add three to both sides of the equation.)   5x^2 = 3     (Divide both sides of the equation by 5.)   x^2  =  3/5   (Take the positive and negative square root of both sides.)     x...

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This worksheet accompanies the DNA Microarray Virtual Lab as a beginner's study guide and interactive tutorial for the DNA Microarray...

Y = KX2   (16) = K (1600)   K = 16/1600   Therefore:   Y = KX2   64 = (16/1600) X   64 / (16/1600) = X     X = 64 x (1600/16) = 6400   ANS: 6400

Assume:   (19 x 109) = (6.7 x 109) (e100k)   and solve for k   (19 x 109) / (6.7 x 109)  =  e100k     2.835820896 = e100k   ln 2.835820896 = ln e100k   ln 2.835820896 = 100k   k = (ln...

Find d/dx of sin2xycosxy = 1   First use chain rule and product rule on the left side of the equation.   -ysinxysin2xy + 2ycosxycosxy = 0    2ycos2xy  =   ysin3xy   2cos2xy   =  sin3xy   2...

Radius of egg with shell = 2.5 inches       Radius of egg without the shell  = (2.5 - (1/12)) inches   Volume of shell = (Volume of whole egg with shell)  - (Volume of the egg inside the shell)     Volume of shell =     ...

A combination of 24 things taken 5 at a time.   (24x23x22x21x20x19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1)/((19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1) x (5x4x3x2x1))   This reduces to (24x23x22x21x20) / (5x4x3x2x1)   which is ANS = 42504

Silicates do have intermolecular forces but they are on a network level forming a framework of bonds. Quartz, as a mineral, has a crystal lattice structure which can be mechanically deformed by an outside applied force. Other than this,...

For the conditions stated, if one line segment (PX) is twice the length of the other (XQ), then point X must be 2/3 of the way towards Q because let s = the length of XQ and 2s = length of PX 2s / (2s +s) = 2s / 3s  = 2/3   Therefore, if we go 2/3...