Square root of 48a^5 *b over square root of 12ab. Simplified

1 answer:

4 0

$\frac{\sqrt{48a^5b}}{\sqrt{12ab}}=\frac{\sqrt{16\times3}\cdot a^{\frac{5}{2}}\cdot b^{\frac{1}{2}}}{{\sqrt{4\times3}}\cdot a^{\frac{1}{2}}b^{\frac{1}{2}}}=\frac{4\sqrt{3}\cdot a^{\frac{5}{2}}}{{2\sqrt{3}}\cdot a^{\frac{1}{2}}}=2a^{\frac{5}{2}-\frac{1}{2}}=2a^2$

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What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)

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The correct answer is: [C]: " (0, 24) " .
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Explanation:
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Given the quadratic function:
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→ " y = (x − 8) (x + 3) " ; ← Note: Replace the "f(x)" with: "y" ;

→ Find the "y-intercept".
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→ Note: The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" .

→ So; we set plug in "0" for "x" into our equation; and solve for "y" ;

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So, the "y -intercept" of the given quadratic function is:

the point at which: "x = 0 ; y = -24 " ;

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Here's my work:

500g Cl2 l 1mol Cl2 l 2 mol NaCl l 58.5 g NaCl

l 71 g Cl2 l 1 mol Cl2 l 1 mol NaCl

= 823.94 - the rounding can be a little off

The first thing you have to do is convert the 500 g of Cl2 into moles. So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71. now on the third column you are comparing the mol ratios of the equation. The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a coefficient of 2 in front of NaCl so that means there is 2 moles. Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl . You multiply across the top and then divide that number by the bottom row.

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