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.
Answer: The piano has 222 strings, because 37×6=222.
Step-by-step explanation:
Since we are informed that Leslie tuned a guitar with 6 strings today and that she then tuned a piano with 37 times as many strings.
This simply means that we have to multiply 37 by 6 strings to get the value of the strings of the piano that she tuned. This will be:
= 6 × 37
= 222 strings.
Leslie tuned 222 strings.
Therefore, the piano has 222 strings, because 37×6=222.
The to that problem is 56
If x is the high temperature, you can write the following equation:
x = 35°F + 13°F
Which simplifies to:
x = 48°F
