Answer:
y= 3/2× (-1/2) x=0
Step-by-step explanation:
multiply the equation by both sides by 4/3 and nd then you get 0=x then you swap the sides of the equation x=0 nd your answer is x=0
Answer:
22
Step-by-step explanation:
The median is the middle number. Because the middle numbers are 21 and 23, the true middle number is what is between... 22
Answer:
![\frac{225}{16} cm/s](https://tex.z-dn.net/?f=%5Cfrac%7B225%7D%7B16%7D%20cm%2Fs)
Step-by-step explanation:
We are given that
![\frac{dV}{dt}=25cm^3/s](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D25cm%5E3%2Fs)
Side of base=4 cm
l=w=4 cm
Height,h=12 cm
We have to find the rate at which the water level rising when the water level is 4 cm.
Volume of pyramid=![\frac{1}{3}lwh=\frac{1}{3}l^2h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dlwh%3D%5Cfrac%7B1%7D%7B3%7Dl%5E2h)
![\frac{l}{h}=\frac{4}{12}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bl%7D%7Bh%7D%3D%5Cfrac%7B4%7D%7B12%7D%3D%5Cfrac%7B1%7D%7B3%7D)
![l=\frac{1}{3}h](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B1%7D%7B3%7Dh)
Substitute the value
![V=\frac{1}{27}h^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B27%7Dh%5E3)
Differentiate w.r.t t
![\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B3%7D%7B27%7Dh%5E2%5Cfrac%7Bdh%7D%7Bdt%7D)
Substitute the values
![25=\frac{1}{9}(4^2)\frac{dh}{dt}](https://tex.z-dn.net/?f=25%3D%5Cfrac%7B1%7D%7B9%7D%284%5E2%29%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B25%5Ctimes%209%7D%7B16%7D%3D%5Cfrac%7B225%7D%7B16%7D%20cm%2Fs)