Answer is C
x 《 N and x is a multiple of 5
I believe that b<span>. y= -1/2x+3 , y= 2x-3 is the correct answer</span>
Answer:
Step-by-step explanation: Given the inequality
The solution is as follows:
The solution of the inequality is all real values of x greater than or equal to 1.
The graph of the inequality is a solid vertical line passing through x = 1 with the area to the left of the line shaded.
Answer:
![40\ m^{3}](https://tex.z-dn.net/?f=40%5C%20m%5E%7B3%7D)
Step-by-step explanation:
we know that
If two figures are similar then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> scale factor
x-----> the volume of the dilated cone
y-----> the volume of the original cone
![z^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
In this problem we have
![z=1/5](https://tex.z-dn.net/?f=z%3D1%2F5)
![y=5,000\ m^{3}](https://tex.z-dn.net/?f=y%3D5%2C000%5C%20m%5E%7B3%7D)
substitute and solve for x
![(1/5)^{3}=\frac{x}{5,000}](https://tex.z-dn.net/?f=%281%2F5%29%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7B5%2C000%7D)
![(1/125)=\frac{x}{5,000}](https://tex.z-dn.net/?f=%281%2F125%29%3D%5Cfrac%7Bx%7D%7B5%2C000%7D)
![x=5,000/125=40\ m^{3}](https://tex.z-dn.net/?f=x%3D5%2C000%2F125%3D40%5C%20m%5E%7B3%7D)
Answer:
![\boxed{\sf Volume \ of \ the \ cylindrical \ container = 6336 \ cm^3}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Csf%20Volume%20%5C%20of%20%5C%20the%20%5C%20cylindrical%20%5C%20container%20%3D%206336%20%5C%20cm%5E3%7D%20)
Given:
Diameter (d) = 24 cm
Height (h) = 14 cm
To Find:
Volume of the cylindrical container (V)
Step-by-step explanation:
![\boxed{ \bold{\sf Volume \ (V) = \pi \frac{ {d}^{2} }{4} h}}](https://tex.z-dn.net/?f=%20%20%5Cboxed%7B%20%5Cbold%7B%5Csf%20Volume%20%5C%20%28V%29%20%3D%20%5Cpi%20%5Cfrac%7B%20%7Bd%7D%5E%7B2%7D%20%7D%7B4%7D%20h%7D%7D)
Substituting values of π, d & h in the equation:
![\sf \implies V = \frac{22}{7} \times \frac{ {(24)}^{2} }{4} \times 14](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20V%20%3D%20%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%7B%2824%29%7D%5E%7B2%7D%20%7D%7B4%7D%20%20%5Ctimes%2014)
![\sf \implies V = \frac{22}{ \cancel{7}} \times \frac{576}{4} \times 2 \times \cancel{7}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20V%20%3D%20%20%5Cfrac%7B22%7D%7B%20%5Ccancel%7B7%7D%7D%20%20%5Ctimes%20%20%5Cfrac%7B576%7D%7B4%7D%20%20%5Ctimes%202%20%5Ctimes%20%20%5Ccancel%7B7%7D)
![\sf \implies V = 22 \times \frac{144 \times \cancel{4}}{ \cancel{4}} \times 2](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20V%20%3D%2022%20%5Ctimes%20%20%5Cfrac%7B144%20%5Ctimes%20%20%5Ccancel%7B4%7D%7D%7B%20%5Ccancel%7B4%7D%7D%20%20%5Ctimes%202)
![\sf \implies V = 22 \times 144 \times 2](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20V%20%3D%2022%20%5Ctimes%20144%20%5Ctimes%202)
![\sf \implies V = 22 \times 288](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20V%20%3D%2022%20%5Ctimes%20288)
![\sf \implies V = 6336 \: {cm}^{3}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20V%20%3D%206336%20%5C%3A%20%20%7Bcm%7D%5E%7B3%7D%20)