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Answer:
After the sales tax
$235
before sales tax
210.32
Step-by-step explanation:
Answer:
![x=0^\circ,120^\circ,240^\circ,360^\circ](https://tex.z-dn.net/?f=x%3D0%5E%5Ccirc%2C120%5E%5Ccirc%2C240%5E%5Ccirc%2C360%5E%5Ccirc)
Step-by-step explanation:
<u>Use identities to set the equation up as a quadratic</u>
![\cos x=\cos 2x;\:0^\circ \leq x \leq 360^\circ\\\\\cos x=2\cos^2 x-1\\\\0=2\cos^2 x-\cos x-1](https://tex.z-dn.net/?f=%5Ccos%20x%3D%5Ccos%202x%3B%5C%3A0%5E%5Ccirc%20%5Cleq%20x%20%5Cleq%20360%5E%5Ccirc%5C%5C%5C%5C%5Ccos%20x%3D2%5Ccos%5E2%20x-1%5C%5C%5C%5C0%3D2%5Ccos%5E2%20x-%5Ccos%20x-1)
<u>Make the substitution u=cos(x) and solve the quadratic</u>
<u />![0=2u^2-u-1\\\\0=(2u+1)(u-1)](https://tex.z-dn.net/?f=0%3D2u%5E2-u-1%5C%5C%5C%5C0%3D%282u%2B1%29%28u-1%29)
![\displaystyle 0=2u+1\\\\0=2\cos x+1\\\\-1=2\cos x\\\\-\frac{1}{2}=\cos x\\\\120^\circ,240^\circ=x](https://tex.z-dn.net/?f=%5Cdisplaystyle%200%3D2u%2B1%5C%5C%5C%5C0%3D2%5Ccos%20x%2B1%5C%5C%5C%5C-1%3D2%5Ccos%20x%5C%5C%5C%5C-%5Cfrac%7B1%7D%7B2%7D%3D%5Ccos%20x%5C%5C%5C%5C120%5E%5Ccirc%2C240%5E%5Ccirc%3Dx)
![0=u-1\\\\0=\cos x-1\\\\1=\cos x\\\\0^\circ,360^\circ=x](https://tex.z-dn.net/?f=0%3Du-1%5C%5C%5C%5C0%3D%5Ccos%20x-1%5C%5C%5C%5C1%3D%5Ccos%20x%5C%5C%5C%5C0%5E%5Ccirc%2C360%5E%5Ccirc%3Dx)
Hence, ![x=0^\circ,120^\circ,240^\circ,360^\circ](https://tex.z-dn.net/?f=x%3D0%5E%5Ccirc%2C120%5E%5Ccirc%2C240%5E%5Ccirc%2C360%5E%5Ccirc)
Answer:
125
Step-by-step explanation:
1875 / 15 = 125
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-Chetan K
It would be 32800 ounces because 2,050 pounds in ounces is 32800