Answer:
cf--__ lab _Ab is the answer total
Step-by-step explanation:
simple
Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;
![V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20r%5E3%5C%5C%5C%5CV%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Ctimes%20%5Cfrac%7B22%7D%7B7%7D%20%20%20%5Ctimes%20%287%20%5C%20cm%29%5E3%5C%5C%5C%5CV%20%3D%20718.67%20%5C%20cm%5E3)
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
By either long or synthetic division, it's easy to show that
![\dfrac{x^4+ax^3+bx^2+cx+d}{x+1}=x^3+(a-1)x^2+(-a+b+1)x+(a-b+c-1)-\dfrac{a-b+c-d-1}{x+1}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E4%2Bax%5E3%2Bbx%5E2%2Bcx%2Bd%7D%7Bx%2B1%7D%3Dx%5E3%2B%28a-1%29x%5E2%2B%28-a%2Bb%2B1%29x%2B%28a-b%2Bc-1%29-%5Cdfrac%7Ba-b%2Bc-d-1%7D%7Bx%2B1%7D)
The quartic will be exactly divisible by
![x+1](https://tex.z-dn.net/?f=x%2B1)
when the numerator of the remainder term vanishes, or for those values of
![a,b,c,d](https://tex.z-dn.net/?f=a%2Cb%2Cc%2Cd)
such that
![a-b+c-d-1=0](https://tex.z-dn.net/?f=a-b%2Bc-d-1%3D0)
I'm not sure how to count the number of solutions (software tells me it should be 80), but hopefully this is a helpful push in the right direction.
Answer:
horizontal
Step-by-step explanation: