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kap26 [50]
3 years ago
5

Help me anser plsssdde I need helppopoooooo I need help with number 4 and 5

Mathematics
2 answers:
erik [133]3 years ago
7 0

Answer:

??

Step-by-step explanation:

trasher [3.6K]3 years ago
5 0

Answer:

??

Step-by-step explanation:

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Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area: where V = volume (mm3
Alex

Answer:

V = 20.2969 mm^3 @ t = 10

r = 1.692 mm @ t = 10

Step-by-step explanation:

The solution to the first order ordinary differential equation:

\frac{dV}{dt} = -kA

Using Euler's method

\frac{dVi}{dt} = -k *4pi*r^2_{i} = -k *4pi*(\frac {3 V_{i} }{4pi})^(2/3)\\ V_{i+1} = V'_{i} *h + V_{i}    \\

Where initial droplet volume is:

V(0) = \frac{4pi}{3} * r(0)^3 =  \frac{4pi}{3} * 2.5^3 = 65.45 mm^3

Hence, the iterative solution will be as next:

  • i = 1, ti = 0, Vi = 65.45

V'_{i}  = -k *4pi*(\frac{3*65.45}{4pi})^(2/3)  = -6.283\\V_{i+1} = 65.45-6.283*0.25 = 63.88

  • i = 2, ti = 0.5, Vi = 63.88

V'_{i}  = -k *4pi*(\frac{3*63.88}{4pi})^(2/3)  = -6.182\\V_{i+1} = 63.88-6.182*0.25 = 62.33

  • i = 3, ti = 1, Vi = 62.33

V'_{i}  = -k *4pi*(\frac{3*62.33}{4pi})^(2/3)  = -6.082\\V_{i+1} = 62.33-6.082*0.25 = 60.813

We compute the next iterations in MATLAB (see attachment)

Volume @ t = 10 is = 20.2969

The droplet radius at t=10 mins

r(10) = (\frac{3*20.2969}{4pi})^(2/3) = 1.692 mm\\

The average change of droplet radius with time is:

Δr/Δt = \frac{r(10) - r(0)}{10-0} = \frac{1.692 - 2.5}{10} = -0.0808 mm/min

The value of the evaporation rate is close the value of k = 0.08 mm/min

Hence, the results are accurate and consistent!

5 0
3 years ago
F(x) = 3x^2+7<br> Find f(f(x)
Scrat [10]
Hhhhhjjuhyhyhgtgtgrgrgrfrfrfrf
3 0
3 years ago
Please please help thanks ❤️
Svetlanka [38]
C. 48 inches 
Add all the sides to find the perimeter
7 0
3 years ago
What is the slope of the line that passes through the points (-4, 0) and (-4, -10)? Write your answer in simplest form.
Tresset [83]

Answer:

<h2>         There is no slope.</h2>

Step-by-step explanation:

slope=\dfrac{y_2-y_1}{x_2-x_1}

It means that for a line passing through two points to have the slope, the x-coordinates of these point have to be different.

(-4, 0) and (-4, -10) means x₁ = x₂ = -4, <u>so there is no slope.</u>

{the line is parallel to Y-axis, and has an equation:  x=-4}

4 0
3 years ago
Help help help math math
Arada [10]

Answer:

x  >  - 14

Step-by-step explanation:

Since the dot in the illustration isn't filled in, that means that x can not be a part of -14, which means it is greater than 14

6 0
2 years ago
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