Answer:
n<2
Step-by-step explanation:
move all terms not containing n to the right side of the inequality
Answer:
![\large\boxed{\large\boxed{85cups}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Clarge%5Cboxed%7B85cups%7D%7D)
Explanation:
<u>1. Volume of a cup</u>
The shape of the cup is a cylinder. The volume of a cylinder is:
![\text{Volume of a cylinder}=\pi \times (radius)^2\times height](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20a%20cylinder%7D%3D%5Cpi%20%5Ctimes%20%28radius%29%5E2%5Ctimes%20height)
The diameter fo the cup is half the diameter: 2in/2 = 1in.
Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:
![\text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20the%20cup%7D%3D%5Cpi%20%5Ctimes%20%281in%29%5E2%5Ctimes%204in%5Capprox%2012.57in%5E3)
<u>2. Volume of the sink:</u>
The volume of the sink is 1072in³ (note the units is in³ and not in).
<u>3. Divide the volume of the sink by the volume of the cup.</u>
This gives the number of cups that contain a volume equal to the volume of the sink:
![\dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups](https://tex.z-dn.net/?f=%5Cdfrac%7B1072in%5E3%7D%7B12.57in%5E3%7D%3D85.3cups%5Capprox%2085cups)
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Answer:
x^2 -10x -96 =0
Step-by-step explanation:
Subtract the zeros from x in factors
(x - -6) (x-16)
(x+6) (x-16)
Set these equal to zero since they are zeros
(x+6) (x-16) =0
FOIL
x^2 -16x+6x -96 =0
x^2 -10x -96 =0