Answer:
twenty eight more weeks till$200
Answer:
Min: 0
Max: 0.125
Step-by-step explanation:
![\frac{d}{dx} \frac{x^2}{x^4+16} =0\\\frac{-(2x)(x^4-16)}{(x^4+16)^2} =0\\x=0, 2, -2\\f(0)=0\\f(2)=f(-2)=0.125\\\frac{d^2}{dx^2} f(x)=\frac{6x^8-384x^4+512}{(16+x^4)^3} \\f''(0)=0.125>0\\f''(2)=f''(-2)=-0.125](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cfrac%7Bx%5E2%7D%7Bx%5E4%2B16%7D%20%3D0%5C%5C%5Cfrac%7B-%282x%29%28x%5E4-16%29%7D%7B%28x%5E4%2B16%29%5E2%7D%20%3D0%5C%5Cx%3D0%2C%202%2C%20-2%5C%5Cf%280%29%3D0%5C%5Cf%282%29%3Df%28-2%29%3D0.125%5C%5C%5Cfrac%7Bd%5E2%7D%7Bdx%5E2%7D%20f%28x%29%3D%5Cfrac%7B6x%5E8-384x%5E4%2B512%7D%7B%2816%2Bx%5E4%29%5E3%7D%20%5C%5Cf%27%27%280%29%3D0.125%3E0%5C%5Cf%27%27%282%29%3Df%27%27%28-2%29%3D-0.125)
Min: 0
Max: 0.125
The word problem in an equation is:
Answer:
Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200
Step-by-step explanation:
Given -
A fast-food restaurant offers 6 different burgers, 6 different side orders, 7 different flavor drinks, and 9 different flavors of ice cream .
choose 2 burgers from 6 different burger = ![\binom{6}{2}](https://tex.z-dn.net/?f=%5Cbinom%7B6%7D%7B2%7D)
choose 3 different sides from 6 different side orders = ![\binom{6}{3}](https://tex.z-dn.net/?f=%5Cbinom%7B6%7D%7B3%7D)
choose 2 flavor drinks from 7 different flavor drinks = ![\binom{7}{2}](https://tex.z-dn.net/?f=%5Cbinom%7B7%7D%7B2%7D)
choose 3 ice cream from 9 different flavors of ice cream = ![\binom{9}{3}](https://tex.z-dn.net/?f=%5Cbinom%7B9%7D%7B3%7D)
Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made=
=
( Using combination )
= ![\frac{6!}{(2!)(4!)}\times\frac{6!}{(3!)(3!)}\times\frac{7!}{(2!)(5!)}\times\frac{9!}{(3!)(6!)}](https://tex.z-dn.net/?f=%5Cfrac%7B6%21%7D%7B%282%21%29%284%21%29%7D%5Ctimes%5Cfrac%7B6%21%7D%7B%283%21%29%283%21%29%7D%5Ctimes%5Cfrac%7B7%21%7D%7B%282%21%29%285%21%29%7D%5Ctimes%5Cfrac%7B9%21%7D%7B%283%21%29%286%21%29%7D)
= ![15\times20\times21\times84](https://tex.z-dn.net/?f=15%5Ctimes20%5Ctimes21%5Ctimes84)
= 529,200
Answer:
1/4 times 2 is 0.5
Sarah has 1/2 pounds of clay.