Answer:
n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
12−2(n−1)=−18
Step 1: Simplify both sides of the equation.
12−2(n−1)=−18
12+(−2)(n)+(−2)(−1)=−18(Distribute)
12+−2n+2=−18
(−2n)+(12+2)=−18(Combine Like Terms)
−2n+14=−18
−2n+14=−18
Step 2: Subtract 14 from both sides.
−2n+14−14=−18−14
−2n=−32
Step 3: Divide both sides by -2.
−2n
/−2 = −32
/−2
n=16
By cross-multiplying, we get
15x + 30 = 24
15x = -6
x = -3 / 5
Answer:
The equivalent expression to the given expression is ![\sqrt[3]{32x^8y^{10}}=2x^2y^3\sqrt[3]{4x^2y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D%3D2x%5E2y%5E3%5Csqrt%5B3%5D%7B4x%5E2y%7D)
Step-by-step explanation:
The given expression is ![\sqrt[3]{32x^8y^{10}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D)
To find the equivalent expression:
![\sqrt[3]{32x^8y^{10}}=(32x^8y^{10})^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D%3D%2832x%5E8y%5E%7B10%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
We may write the above expression as below:
(using square root properties)
![=(2\sqrt[3]{4})(x^2\sqrt[3]{x^2})(y^3\sqrt[3]{y})](https://tex.z-dn.net/?f=%3D%282%5Csqrt%5B3%5D%7B4%7D%29%28x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D%29%28y%5E3%5Csqrt%5B3%5D%7By%7D%29)
(combining the like terms and doing multiplication )
![=2x^2y^3\sqrt[3]{4x^2y}](https://tex.z-dn.net/?f=%3D2x%5E2y%5E3%5Csqrt%5B3%5D%7B4x%5E2y%7D)
Therefore
Therefore the equivalent expression to the given expression is
Im not giving out direct answers cause math is my weak point but to find the volume multiply the width with the length and with the height all together to find it.<span />
