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3 years ago

14

A cylinder has a radius of 5 inches and a height of 9 inches. What is the volume of the cylinder in cubic inches? Use 3.14 for π

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1 answer:

zlopas [31]3 years ago

6 0

Okkaay so this would be 3.14 x (5x5) x 9 = <span>706.5
V=</span>πr2h

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3 years ago

Florence has $400 in a savings account. The interest rate is 5% per year and is not

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3 years ago

Please help with these 2 problems

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$(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = \frac{16}{9}$

4ˣ⁻¹ = 49 / 4

<h3>How to simplify an expression?</h3>

The expressions can be simplified as follows;

$(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} }$

Hence,

$(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} }$

Therefore,

$(\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} }$

Finally,

$(\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} } = (\frac{4}{3} )^{3}$

$(\frac{4}{3} )^{3} = \frac{16}{9}$

2ˣ = 7

4ˣ⁻¹ = 2²⁽ˣ⁻¹⁾ = 2²ˣ ⁻ ² = 2²ˣ / 2² = (2ˣ)² / 2²

Therefore,

(2ˣ)² / 2² = 7² / 2² = 49 / 4

Hence,

4ˣ⁻¹ = 49 / 4

Finally, the $(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} }$ is equal to $\frac{16}{9}$ and for the second part 4ˣ⁻¹ = 49 / 4

learn more on simplification here: brainly.com/question/17513857

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