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3 years ago

Please help me im so confused i cant fail

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Step-by-step explanation:

since the volume formula is given in the picture,

volume of the cylinder = π x 3.75^2 x 6.21 = 274.349....in^3 (this is the exact answer)

HOWEVER,

since question says round off to nearest whole number,

Volume = 3 x 4^2 x 6 = 288in^3

therefore, answer = option C.

Hope that helps.

If you like to venture further, do check out my insta <em>(learntionary)</em> where I constantly post math tips! Thanks!

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3 years ago

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3 years ago

scZoUnD [109]

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Step-by-step explanation:

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2 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

3 years ago