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3 years ago

Write 16.2 ten as a base five numeral

Mathematics

1 answer:

pentagon [3]3 years ago

3 0

I assume you're asked to convert 16.2 from base 10 to base 5. We have

16.2₁₀ = 1•10¹ + 6•10⁰ + 2•10⁻¹

Since 10 = 2•5, we can expand this as

16.2₁₀ = 1•(2•5)¹ + 6•(2•5)⁰ + 2•(2•5)⁻¹

16.2₁₀ = 2•5¹ + 6•5⁰ + 1•5⁻¹

Next, 6 = 5 + 1, so

16.2₁₀ = 2•5¹ + (5 + 1)•5⁰ + 1•5⁻¹

16.2₁₀ = 2•5¹ + 1•5¹ + 1•5⁰ + 1•5⁻¹

16.2₁₀ = 3•5¹ + 1•5⁰ + 1•5⁻¹

16.2₁₀ = 31.1₅

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4 years ago

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Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

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2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

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Then, you get this result:

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