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kakasveta [241]
3 years ago
12

Can someone help me with letter b along with an explanation.

Mathematics
2 answers:
lana66690 [7]3 years ago
7 0

Step-by-step explanation:

Forced vital capacity: the maximum amount of air you can forcibly exhale from your lungs after fully inhaling. It is about 80 percent of total capacity, or 4.8 liters, because some air remains in your lungs after you exhale

sveta [45]3 years ago
7 0

9514 1404 393

Answer:

  a) 1.70 L

  b) 16 breaths per minute

Step-by-step explanation:

a) The maximum value of v(t) occurs when the sine function is at its maximum value of 1. In that case, the volume is ...

  1.27 +0.43×1 = 1.70 . . . liters

__

b) One full breath cycle takes a period of time that makes the argument of the sine function be 2π. The that time period is ...

  1.71t = 2π

  t = 2π/1.71 ≈ 3.6744 . . . seconds

Then the number of breaths per minute is ...

  (60 seconds/minute)/(3.6744 seconds/breath) ≈ 16.33 breaths/minute

The person takes about 16 breaths per minute while sleeping.

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33% or .33

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Divide 1/3 = .3333 (repeating). I would round to the nearest hundreths place:

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For the precentage, multiple 0.33 by 100:

100 * 0.33 = 33%

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astraxan [27]

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3 years ago
Three coins are flipped.
Darina [25.2K]

Step-by-step explanation:

1.

when 3 coins are flipped the following outcomes are possible

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h t h

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Simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BX-10%7D" id="TexFormula1" title="\frac{1}{X-10}" alt="\frac{1}{X-10}
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In the second fraction, factorize the denominator:

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Then we have, as long as x\neq10,

\dfrac1{x-10}\div\dfrac{9x}{x^2-9x-10}=\dfrac{\frac1{x-10}}{\frac{9x}{(x-10)(x+1)}}=\dfrac1{\frac{9x}{x+1}}=\dfrac{x+1}{9x}

which you could also write as

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3 years ago
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