Answer:
1.3
Step-by-step explanation:
cuz i said so
Answer
3x6=18 or 3c=18
Step-by-step explanation:
I don't know in what level of mathematics you're in. It depends...
c= cost c=6
The time taken for the candle to burn down to a height of 1.3 inches is 4.5 hours
<h3>What is a Linear Function ?</h3>
A linear function is what can be written in the form of
y =mx+c
The rate at which the candle is burning is 0.6 inches/ hour
The initial height is 4 inches at t=0
The straight line equation can be written for this as
y =mx +c
as m = -0.6
at x = 0 , y = 4 therefore c =4
y = -0.6x +4
The time at which y = 1.3 inches is
1.3 = -0.6x +4
-2.7 = -0.6 x
x =4.5
4.5 hours is the time taken for the candle to burn down to a height of 1.3 inches.
To know more about Linear Function
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Answer:50
Step-by-step explanation: thats what i calculated
Answer:
The water level changing by the rate of -0.0088 feet per hour ( approx )
Step-by-step explanation:
Given,
The volume of a segment of height h in a hemisphere of radius r is,
![V=\pi h^2(r-\frac{h}{3})](https://tex.z-dn.net/?f=V%3D%5Cpi%20h%5E2%28r-%5Cfrac%7Bh%7D%7B3%7D%29)
Where, r is the radius of the hemispherical tank,
h is the water level, ( in feet )
Here, r = 9 feet,
![\implies V=\pi h^2(9-\frac{h}{3})](https://tex.z-dn.net/?f=%5Cimplies%20V%3D%5Cpi%20h%5E2%289-%5Cfrac%7Bh%7D%7B3%7D%29)
![V=9\pi h^2-\frac{\pi h^3}{3}](https://tex.z-dn.net/?f=V%3D9%5Cpi%20h%5E2-%5Cfrac%7B%5Cpi%20h%5E3%7D%7B3%7D)
Differentiating with respect to t ( time ),
![\frac{dV}{dt}=18\pi h\frac{dh}{dt}-\frac{3\pi h^2}{3}\frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D18%5Cpi%20h%5Cfrac%7Bdh%7D%7Bdt%7D-%5Cfrac%7B3%5Cpi%20h%5E2%7D%7B3%7D%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{dV}{dt}=\pi h(18-h)\frac{dh}{dT}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cpi%20h%2818-h%29%5Cfrac%7Bdh%7D%7BdT%7D)
Here, ![\frac{dV}{dt}=-2\text{ cubic feet per hour}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D-2%5Ctext%7B%20cubic%20feet%20per%20hour%7D)
And, h = 6 feet,
Thus,
![-2=\pi 6(18-6)\frac{dh}{dt}](https://tex.z-dn.net/?f=-2%3D%5Cpi%206%2818-6%29%5Cfrac%7Bdh%7D%7Bdt%7D)
![\implies \frac{dh}{dt}=\frac{-2}{72\pi}=-0.00884194128288\approx -0.0088](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B-2%7D%7B72%5Cpi%7D%3D-0.00884194128288%5Capprox%20-0.0088)