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alexandr1967 [171]
3 years ago
14

When a foreign object lodged in the trachea forces a person tocough, the diaphragm thrusts upward causing an increase in pressur

ein the lungs. This is accompanied by a contraction of the trachea,making a narrower channel for the expelled air to flow through. Fora given amount of air to escape in a fixed time, it must movefaster through the narrower channel then the wider one. The greaterthe velocity of the airstream, the greater the force on the foreignobject. X rays show that the radius of the circular tracheal tubecontracts to about two-thirds of its normal radius during a cough.According to a mathematical model of coughing, the velocity v ofthe airstream is related to the radius r of the trachea by theequation:
v(r) = k (r0 - r)r2 1/2r0 less than r less than r0

where k is the constant and r0 is the normal radius ofthe trachea. The restriction on r is due to the fact that thetracheal wall stiffens under pressure and a contraction greaterthan 1/2 r0 is prevented.

a. Determine the value of r in the interval [1/2 r0,r0] at which v has an absolute maximum. How does thiscompare with the experimental evidence
b. What is the absolute maximum value of v on the interval?
c. Sketch the graph of v on the interval [0, r0]
Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0
I’m honestly not sure but i need points i’m sorry :/
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The average speed of one team in a relay race is about 10 miles per hour. What is the speed in feet per second?
ki77a [65]

10 miles per second in feet per second is 14.67 feet per second

Step-by-step explanation:

The average speed of one team in a relay race = 10 miles per hour.

We need to find the speed in feet per second.

  • The conversion rule is:

             1 mile per hour = 1.467 feet per second

So, Speed in feet per second is:

 1 mile per hour = 1.467 feet per second

10 miles per hour = 10*1.467 feet per second

                             = 14.67 feet per second

So, 10 miles per second in feet per second is 14.67 feet per second

Keywords: Conversion of units

Learn more about Conversion of units at:

  • brainly.com/question/10940255
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#learnwithBrainly

5 0
3 years ago
The corner convenience store sells candy bars at 4 for $2.91. At the price, how much would the store charge for 3 candy bars?
den301095 [7]

Answer:

$2.1825 or simplified is $2.18.

Step-by-step explanation:

<em>0.7275 per candy bars.</em>

<em>0.7275  x 4 = $2.91.</em>

So according to that logic,

<em>0.7275  x 3 = $2.1825.</em>

<em />

6 0
2 years ago
Double check my answer plssssss!!!!!!!!!!!!!!!!!!!!
emmainna [20.7K]
<span>THE ANSWER: 

</span>112 - 7 = 105
105 <span>÷ 7 = 15
</span>x = 15
7 0
3 years ago
The cartesian equation, y = 4, is equivalent to the polar equation, _____.
jolli1 [7]
This is how you would solve the question.
4 0
3 years ago
A golfer keeps track of his score for playing nine holes of golf​ (half a normal golf​ round). His mean score is 8080 with a sta
solniwko [45]

Answer:

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and 11\sqrt2 respectively.

Step-by-step explanation:

Given that,

For the first 9 holes X:

E(X) = 80

SD(X)=13

For the second 9 holes Y:

E(Y) = 80

SD(Y)=13

For the sum W=X+Y, the following properties holds for means , variance and standard deviation :

E(W)=E(X)+E(Y)

     and

V(W)=V(X)+V(Y)

⇒SD²(W)=SD²(X)+SD²(Y)        [ Variance = (standard deviation)²]

\Rightarrow SD(W)=\sqrt{SD^2(X)+SD^2(Y)}

∴E(W)=E(X)+E(Y) = 80 +80=160

            and

∴SD(W)=\sqrt{SD^2(X)+SD^2(Y)}

              =\sqrt{11^2+11^2}

               =\sqrt{2.11^2}

               =11\sqrt2

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and 11\sqrt2 respectively.

                                               

4 0
3 years ago
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