Answer:
Here is the number of juice boxes
Step-by-step explanation:
No matter what source there is, you will always appear to end up finding out that there are precisely 69 juice boxes
Answer:
Facts.
Step-by-step explanation:
Answer:
The input force needed is 225 Newtons
Step-by-step explanation:
From hydraulic pressure laws, we have that the pressure at the same level throughout the body of a fluid is equal.
This means that for the Hydraulic Jack, input pressure = output pressure
Recall,Pressure is a ratio of force and area
i.e pressure = Force / Area
For the hydraulic jack to work properly, the pressure at the input end must be equal to the pressure at the output end.
![\frac{F_{1}}{A{1}} = \frac{F_{2}}{A_{2}}](https://tex.z-dn.net/?f=%5Cfrac%7BF_%7B1%7D%7D%7BA%7B1%7D%7D%20%3D%20%5Cfrac%7BF_%7B2%7D%7D%7BA_%7B2%7D%7D)
![\frac{9000}{4}=\frac{Force}{0.1}](https://tex.z-dn.net/?f=%5Cfrac%7B9000%7D%7B4%7D%3D%5Cfrac%7BForce%7D%7B0.1%7D)
From this we can compute that the Input force = 225 Newtons
The volume of a cube with side length equal to x, is
![V= x^{3}](https://tex.z-dn.net/?f=V%3D%20x%5E%7B3%7D%20)
,
thus, the volume of a cube shaped box, whose side length is (5a+4b) is :
![V= (5a+4b)^{3}](https://tex.z-dn.net/?f=V%3D%20%285a%2B4b%29%5E%7B3%7D%20)
,
The volume is already expressed in terms of a and b, but we can expand the expression
![(5a+4b)^{3}](https://tex.z-dn.net/?f=%285a%2B4b%29%5E%7B3%7D%20)
, as follows:
![(5a+4b)^{3} =(5a+4b)(5a+4b)^{2}= (5a+4b)[ (5a)^{2}+2(5a)(4b)+ (4b)^{2}]](https://tex.z-dn.net/?f=%285a%2B4b%29%5E%7B3%7D%20%3D%285a%2B4b%29%285a%2B4b%29%5E%7B2%7D%3D%20%285a%2B4b%29%5B%20%285a%29%5E%7B2%7D%2B2%285a%29%284b%29%2B%20%284b%29%5E%7B2%7D%5D)
![=(5a+4b)[ 25a^{2}+40ab+ 16b^{2}]](https://tex.z-dn.net/?f=%3D%285a%2B4b%29%5B%2025a%5E%7B2%7D%2B40ab%2B%2016b%5E%7B2%7D%5D)
![=(5a)[ 25a^{2}+40ab+ 16b^{2}]+(4b)[ 25a^{2}+40ab+ 16b^{2}]](https://tex.z-dn.net/?f=%3D%285a%29%5B%2025a%5E%7B2%7D%2B40ab%2B%2016b%5E%7B2%7D%5D%2B%284b%29%5B%2025a%5E%7B2%7D%2B40ab%2B%2016b%5E%7B2%7D%5D)
![=125a^{3}+200a^{2} b+ 80ab^{2}+100a^{2}b+160ab^{2} + 64b^{3}](https://tex.z-dn.net/?f=%3D125a%5E%7B3%7D%2B200a%5E%7B2%7D%20b%2B%2080ab%5E%7B2%7D%2B100a%5E%7B2%7Db%2B160ab%5E%7B2%7D%20%2B%2064b%5E%7B3%7D)
![125a^{3}+300a^{2} b+240ab^{2} + 64b^{3}](https://tex.z-dn.net/?f=125a%5E%7B3%7D%2B300a%5E%7B2%7D%20b%2B240ab%5E%7B2%7D%20%2B%2064b%5E%7B3%7D)
Answer:
![V= (5a+4b)^{3}](https://tex.z-dn.net/?f=V%3D%20%285a%2B4b%29%5E%7B3%7D%20)
,
or