3 years ago

How much smaller is a millimeter than a liter? SHOW ALL YOUR WORK

1 answer:

3 0

Answer:

One liter is larger than one milliliter, so you would expect there to be more than one milliliter in 1 liter. The correct answer is 1,000. Incorrect. There are 100 milliliters in 1 deciliter.

Step-by-step explanation:

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Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%7Bx%7D%20" id="TexFormula1" title="f(x) = \sqrt{x} " alt="f(x) =

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Answer: $\dfrac{1}{2\sqrt x}$

<u>Step-by-step explanation:</u>

$\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}$

f(x) = $\sqrt x\\$

f(x+h) = $\sqrt{x+h}$

$\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}$

$=\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)$

$=\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}$

$=\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}$

$=\dfrac{1}{\sqrt{x+h}+\sqrt x}$

$=\dfrac{1}{\sqrt{x+0}+\sqrt x}$

$=\dfrac{1}{2\sqrt x}$

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3 years ago

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Step-by-step explanation:

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How much smaller is a millimeter than a liter? **SHOW ALL YOUR WORK**

How much smaller is a millimeter than a liter? SHOW ALL YOUR WORK