<span> For this case the volume of the box is given by:
</span>
![V = lwh ](https://tex.z-dn.net/?f=V%20%3D%20lwh%0A)
<span> Substituting values we have:
</span>
![V = (2a + 11) (5a - 12) (a + 6) ](https://tex.z-dn.net/?f=V%20%3D%20%282a%20%2B%2011%29%20%285a%20-%2012%29%20%28a%20%2B%206%29%0A)
<span> Rewriting we have:
</span>
![V = (10a ^ 2-24a + 55a-132) (a + 6) V = 10a ^ 3-24a ^ 2 + 55a ^ 2-132a + 60a ^ 2-144a + 330a-792](https://tex.z-dn.net/?f=V%20%3D%20%2810a%20%5E%202-24a%20%2B%2055a-132%29%20%28a%20%2B%206%29%0A%0AV%20%3D%2010a%20%5E%203-24a%20%5E%202%20%2B%2055a%20%5E%202-132a%20%2B%2060a%20%5E%202-144a%20%2B%20330a-792)
<span> Grouping terms of equal degree we have:
</span>
![V = 10a ^ 3 + 60a ^ 2 -24a ^ 2 + 55a ^ 2 -132a -144a + 330a-792](https://tex.z-dn.net/?f=V%20%3D%2010a%20%5E%203%20%2B%2060a%20%5E%202%20-24a%20%5E%202%20%2B%2055a%20%5E%202%20-132a%20-144a%20%2B%20330a-792%20%20)
<span> Adding terms of equal degree we have:
</span>
![V = 10 ^ 3 + 91a ^ 2 + 54a-792 ](https://tex.z-dn.net/?f=V%20%3D%2010%20%5E%203%20%2B%2091a%20%5E%202%20%2B%2054a-792%0A)
<span>
Answer: the volume of the box is: All the expressions given.</span>
Answer: To find the atomic mass of an atom of an element, add up the mass of protons and neutrons.
Explanation: Find the atomic mass of an isotope of carbon that has 7 neutrons. You can see from the periodic table that carbon has an atomic number of 6, which is its number of protons.
Answer:
violet
Explanation:
violet has shortest wavelength
Answer:
Case A
Explanation:
given,
size of bacteria = 1 mm x 1 mm
velocity = 20 mm/s
size of the swimmer = 1.5 m x 1.5 m
velocity of swimmer = 3 m/s
Viscous force
![F = \eta A \dfrac{dv}{dx}](https://tex.z-dn.net/?f=F%20%3D%20%5Ceta%20A%20%5Cdfrac%7Bdv%7D%7Bdx%7D)
for the bacteria
![F = \eta \times 10^{-6}\times 20\times 10^{-3}](https://tex.z-dn.net/?f=F%20%3D%20%5Ceta%20%5Ctimes%2010%5E%7B-6%7D%5Ctimes%2020%5Ctimes%2010%5E%7B-3%7D)
![F =2\times 10^{-8} \eta\ N](https://tex.z-dn.net/?f=F%20%3D2%5Ctimes%2010%5E%7B-8%7D%20%5Ceta%5C%20N)
for the swimmer
![F = \eta \times 1.5^2\times 3](https://tex.z-dn.net/?f=F%20%3D%20%5Ceta%20%5Ctimes%201.5%5E2%5Ctimes%203)
![F =6.75 \eta\ N](https://tex.z-dn.net/?f=F%20%3D6.75%20%5Ceta%5C%20N)
from the above force calculation
In case B inertial force that represent mass is more than the inertial force in case of bacteria.
Viscous force is dominant in case of bacteria.
So, In Case A viscous force will be dominant.