Answer:
10*0=1, according to the law of indices which states that anything to the zero power is equal to one
1*4=1×1×1×1=1
1×1.0=1.0=1
Answer:
83.3%
Step-by-step explanation:
The probability of rolling a 3 on a 6-sided dice is 1/6
Since you don't want a three, there's a 5/6 chance of not rolling a 3
5/6 (use calculator and divede 5 by 6) = 0.833333 (move decimal 2 to the right) = 83.3%
Therefore, the most reasonable answer would be C, 83.3%
Answer:
![y=\sqrt{\frac{x^4-6x^2+12x+c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+c_1}{2}}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B%5Cfrac%7Bx%5E4-6x%5E2%2B12x%2Bc_1%7D%7B2%7D%7D%2C%5C%3Ay%3D-%5Csqrt%7B%5Cfrac%7Bx%5E4-6x%5E2%2B12x%2Bc_1%7D%7B2%7D%7D)
(Please vote me Brainliest if this helped!)
Step-by-step explanation:
![\frac{dy}{dx}y=x^3+2x-5x+3](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7Dy%3Dx%5E3%2B2x-5x%2B3)
![\mathrm{First\:order\:separable\:Ordinary\:Differential\:Equation}](https://tex.z-dn.net/?f=%5Cmathrm%7BFirst%5C%3Aorder%5C%3Aseparable%5C%3AOrdinary%5C%3ADifferential%5C%3AEquation%7D)
1. ![\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:](https://tex.z-dn.net/?f=%5Cmathrm%7BSubstitute%5Cquad%20%7D%5Cfrac%7Bdy%7D%7Bdx%7D%5Cmathrm%7B%5C%3Awith%5C%3A%7Dy%27%5C%3A)
![y'\:y=x^3+2x-5x+3](https://tex.z-dn.net/?f=y%27%5C%3Ay%3Dx%5E3%2B2x-5x%2B3)
2. ![\mathrm{Rewrite\:in\:the\:form\:of\:a\:first\:order\:separable\:ODE}](https://tex.z-dn.net/?f=%5Cmathrm%7BRewrite%5C%3Ain%5C%3Athe%5C%3Aform%5C%3Aof%5C%3Aa%5C%3Afirst%5C%3Aorder%5C%3Aseparable%5C%3AODE%7D)
![yy'\:=x^3-3x+3](https://tex.z-dn.net/?f=yy%27%5C%3A%3Dx%5E3-3x%2B3)
3. ![\mathrm{Solve\:}\:yy'\:=x^3-3x+3:\quad \frac{y^2}{2}=\frac{x^4}{4}-\frac{3x^2}{2}+3x+c_1](https://tex.z-dn.net/?f=%5Cmathrm%7BSolve%5C%3A%7D%5C%3Ayy%27%5C%3A%3Dx%5E3-3x%2B3%3A%5Cquad%20%5Cfrac%7By%5E2%7D%7B2%7D%3D%5Cfrac%7Bx%5E4%7D%7B4%7D-%5Cfrac%7B3x%5E2%7D%7B2%7D%2B3x%2Bc_1)
4. ![\mathrm{Isolate}\:y:\quad y=\sqrt{\frac{x^4-6x^2+12x+4c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+4c_1}{2}}](https://tex.z-dn.net/?f=%5Cmathrm%7BIsolate%7D%5C%3Ay%3A%5Cquad%20y%3D%5Csqrt%7B%5Cfrac%7Bx%5E4-6x%5E2%2B12x%2B4c_1%7D%7B2%7D%7D%2C%5C%3Ay%3D-%5Csqrt%7B%5Cfrac%7Bx%5E4-6x%5E2%2B12x%2B4c_1%7D%7B2%7D%7D)
5. ![\mathrm{Simplify}](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%7D)
![y=\sqrt{\frac{x^4-6x^2+12x+c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+c_1}{2}}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B%5Cfrac%7Bx%5E4-6x%5E2%2B12x%2Bc_1%7D%7B2%7D%7D%2C%5C%3Ay%3D-%5Csqrt%7B%5Cfrac%7Bx%5E4-6x%5E2%2B12x%2Bc_1%7D%7B2%7D%7D)
Yup! We're all pretty good here.
727.29 + 248.50 − x ≥ 500;
x ≥ $475.79
727.29 + 248.50 − x ≤ 500;
x ≤ $475.79
727.29 − 248.50 + x ≥ 500
x ≥ $21.21
727.29 – 248.50 - x ≤ 500
x ≤ $21.21