20.21 multiplied by 999.801 is 20,205.97821, so the correct answer would be A. about 20,000
Answer: " 80 inches " .
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Explanation:
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6 feet + 8 inches = ?
Note: 12 inches = 1 ft.
6 ft * (12 inches/ ft) = 72 inches;
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72 inches + 8 inches = 80 inches.
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Answer: ![v=\sqrt[]{\frac{2K}{m} }](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D)
Step-by-step explanation:
![K=\frac{mv^2}{2}](https://tex.z-dn.net/?f=K%3D%5Cfrac%7Bmv%5E2%7D%7B2%7D)
First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;
![2*K=\frac{mv^2}{2}*2](https://tex.z-dn.net/?f=2%2AK%3D%5Cfrac%7Bmv%5E2%7D%7B2%7D%2A2)
![2K=mv^2](https://tex.z-dn.net/?f=2K%3Dmv%5E2)
Divide by m to isolate
.
![\frac{2K}{m}=\frac{mv^2}{m}](https://tex.z-dn.net/?f=%5Cfrac%7B2K%7D%7Bm%7D%3D%5Cfrac%7Bmv%5E2%7D%7Bm%7D)
![\frac{2K}{m} =v^2](https://tex.z-dn.net/?f=%5Cfrac%7B2K%7D%7Bm%7D%20%3Dv%5E2)
To eliminate the square and isolate v, extract the square root.
![\sqrt[]{\frac{2K}{m} }=\sqrt[]{v^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D%3D%5Csqrt%5B%5D%7Bv%5E2%7D)
![\sqrt[]{\frac{2K}{m} }=v](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D%3Dv)
let's rewrite it in a way that v is in the left side.
![v=\sqrt[]{\frac{2K}{m} }](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D)
Answer:
x = -36, y = 6, z = -6
Step-by-step explanation:
The requirement x/z = -z means x = -z².
The requirement x/y = z means x = yz.
These two requirements together mean yz = -z², or y = -z.
The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).
Using z=-6, we have x = -z² = -36; y = -(-6) = 6.
For some positive integer n, ...
... x = -36n², y = 6n, z = -6n.