The Newton`s law of cooling:
T = R + ( To - R ) * e ^(-kt )
We know that: T = 32° F ( the water freezes at 32° F ), To = 55° F, R = 5° F
and the cooling rate is: k = 0.012.
33° F = 5° F + ( 55° F - 5° F ) · 2.72^(-0.012 t )
33 - 5 = 50 · 2.72^(-0.012 t)
27 = 50 · 2.72^(-0.012 t)
2.72^(-0.012 t) = 27/50
1 / 2.72^(0.012 t) = 0.54
2.72^( 0.012 t ) = 1 : 0.54 = 1.85
0.012 t = log(base e) 1.85 = ln 1.85 = 0.6
t = 0.6 : 0.012 = 50
Answer: It would take 50 minutes.
1 inch= 2.54
6 inch= 15.24 becuase 2.54*6=15.24
Hope this helps!!
Answer:
All real numbers except 3
Step-by-step explanation:
Given
Required
Determine the domain
We start by writing the following inequality
Add 6 to both sides
Divide both sides by 2
<em>As such, the domain of x is all real numbers except 3</em>
