The answer to the question is = 0, -5
Answer:
Hello?
Step-by-step explanation:
<span>The volume of a sphere is V = 4/3 x pi x r^3
The rind volume is the difference of two spheres. The radius of the inner sphere volume is, r - .1 r or .9 r. So the volume of the rind is
V = 4/3 x pi x r^3 - 4/3 x pi (.9 r )^3
V = 4/3 x pi x r^3 - 4/3 x pi x (.9^3) x r^3
Implicitly differentiating both sides with respect to t yields:
V' = ( 4 x pi x r^2 x r' ) - ( 4 x pi x (.9^3) x r^2 x r' )
This equation define the rate of change of the rind volume with respect to time.
As defined in the problem, r' = 2
As well, after 5 weeks the radius will be r = 2 * 5 = 10
V' = (4 x pi x 10^2 x 2) - (4 x pi x (.9^3) x 10 x 2)
V' = (800 x pi) - (800 x pi x (.729))
V' = (800 x pi) (1 - .729)
V' = (800 x pi)(.271)
V' = 681.09 cubic centimeters
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer:
Following are the solution to this question:
Step-by-step explanation:
Given:
![\ Mean = 0.54 \times 555 \\](https://tex.z-dn.net/?f=%5C%20Mean%20%3D%200.54%20%5Ctimes%20555%20%5C%5C)
![= 299.7](https://tex.z-dn.net/?f=%3D%20299.7)
![SD = 11.74](https://tex.z-dn.net/?f=SD%20%3D%2011.74)
In point a:
![\to Z = \frac{(338 - 299.7)}{11.74}](https://tex.z-dn.net/?f=%5Cto%20Z%20%3D%20%5Cfrac%7B%28338%20-%20299.7%29%7D%7B11.74%7D)
![= \frac{(38.3)}{11.74}\\\\= 3.26](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%2838.3%29%7D%7B11.74%7D%5C%5C%5C%5C%3D%203.26)
![\to P = 0.000557\\\\\to \% = 0.06 \%](https://tex.z-dn.net/?f=%5Cto%20P%20%3D%200.000557%5C%5C%5C%5C%5Cto%20%5C%25%20%3D%200.06%20%5C%25)
In point b:
![= \frac{(-14.7)}{11.74}\\\\= -1.25\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%28-14.7%29%7D%7B11.74%7D%5C%5C%5C%5C%3D%20-1.25%5C%5C)
![\to P = 0.8944\\\\\to \% = 89.44 \%](https://tex.z-dn.net/?f=%5Cto%20P%20%3D%200.8944%5C%5C%5C%5C%5Cto%20%5C%25%20%3D%2089.44%20%5C%25)
In point c:
![\to 48\% \times 555 = 266.4\\\\\to Z = \frac{(266.4 - 299.7)}{11.74}\\\\](https://tex.z-dn.net/?f=%5Cto%2048%5C%25%20%5Ctimes%20555%20%3D%20266.4%5C%5C%5C%5C%5Cto%20Z%20%3D%20%5Cfrac%7B%28266.4%20-%20299.7%29%7D%7B11.74%7D%5C%5C%5C%5C)
![= \frac{(-33.3)}{11.74}\\\\= -2.83](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%28-33.3%29%7D%7B11.74%7D%5C%5C%5C%5C%3D%20-2.83)
![\to P = 0.002256\\\\\to \% = 0.23 \%](https://tex.z-dn.net/?f=%5Cto%20P%20%3D%200.002256%5C%5C%5C%5C%5Cto%20%5C%25%20%3D%200.23%20%5C%25)