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3 years ago

14

Would you rather never sweat again but not be more prone to heat stroke or never feel cold again but cold still physically affec

ts you (i.e., you can freeze to death)?

1 answer:

Pachacha [2.7K]3 years ago

6 0

Never feel cold again, yet if you don’t sweat you can’t burn calories as easy.

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When an acid and base neutralize each other, the products are generally water 1. an ion. 2. a salt. 3. a colloid. 4. a gel?

liq [111]

The answer would be a salt.

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3 years ago

If 2^x=3^y=12^z, show that 1÷z=1÷y+2÷x.....

Ostrovityanka [42]

Answer:

Proof of $\dfrac{1}{z}}=\dfrac{1}{y}+\dfrac{2}{x}$ is shown below.

Explanation:

The given equation is

$2^x=3^y=12^z$

To prove : $\dfrac{1}{z}=\dfrac{1}{y}+\dfrac{2}{x}$

Proof : Let as assume,

$2^x=3^y=12^z=k$

$2^x=k\Rightarrow 2=k^{\frac{1}{x}}$ ...(1)

$3^y=k\Rightarrow 3=k^{\frac{1}{y}}$ ...(2)

$12^z=k\Rightarrow 12=k^{\frac{1}{z}}$ ...(3)

We know that

$12=2\times 2\times 3$

$12=(2)^2\times 3$

Using (1), (2) and (3), we get

$k^{\frac{1}{z}}=(k^{\frac{1}{x}})^2\times k^{\frac{1}{y}}$

$k^{\frac{1}{z}}=k^{\frac{2}{x}}\times k^{\frac{1}{y}}$

$k^{\frac{1}{z}}=k^{\frac{2}{x}+\frac{1}{y}}$

On comparing both sides, we get

$\dfrac{1}{z}}=\dfrac{2}{x}+\dfrac{1}{y}$

$\dfrac{1}{z}}=\dfrac{1}{y}+\dfrac{2}{x}$

Hence proved.

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