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liubo4ka [24]
3 years ago
11

The volume V in liters of air in the lungs during a five- second respiratory cycle is approximated by the model V= 0.1724t+0.152

3t^2-0.0377t^3 where t is the time in seconds. Approximate the average volume of air in the lungs during one cycle. Round your answer to four decimal places.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Answer:

\frac{\int\limits^5_0 {0.1724t+0.1523t^2-0.0377t^3} \, dt }{5-0} = 0.522

Step-by-step explanation:

as with all functions f(t), the average value on [a,b] is

\frac{\int\limits^b_a {f(t)} \, dt }{b-a}

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Sara is mixing together a fruit punch for a party. She's made 4 gallons of punch with a mixture of 50% juice. Her mother tells h
Nata [24]
\bf \begin{array}{lccclll}
&amount(gallons)&juice&\textit{juice amount}\\
&--------&-----&-----\\
\textit{50\% punch}&4&0.50&(4)(0.50)\\
\textit{pure juice}&x&1.00&(x)(1.00)\\
-----&-----&-----&-----\\
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\end{array}

notice, that, pure juice is 100% juice, dohhh, thus 100/100 = 1.00
50% is 50/100 or 0.50 in decimal format

so..... whatever those two quantities amount to, that is, the 50% and pure juice, or (4)(0.50) + (x)(1.00)
they will equal the mixture desired 60% juice, or 0.60, namely (4+x)(0.60)

thus    (4)(0.50) + (x)(1.00) = (4+x)(0.60)

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4 0
3 years ago
The volume of a packing box is 5 – x cubic feet. The width of the box is x feet and the length is x – 2 feet. The height is give
photoshop1234 [79]
By definition we have that the volume is given by
 V = h * w * l
 where
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 w: width
 l: length
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hichkok12 [17]

Answer:

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Step-by-step explanation:

4 0
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The measures of angles B and C are 118° and 62°, respectively.

<h3>What are the measures of two missing angles generated by the intersection of two lines?</h3>

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When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.

To learn more on angles: brainly.com/question/7116550

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