Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.
<h3>Newton's law of cooling</h3>
According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.
Now;
T(t) = T(s) + (To - Ts)e^-kt
T(t) = temperature at time T
To = initial temperature
Ts = temperature of the surrounding
k = colling constant
t = time taken
200 = 68 + (230 - 68)e^-15k
200 = 68 + 162e^-15k
200 - 68/162 = e^-15k
ln(0.815) = -15k
k = ln(0.815)/-15
k = 0.014 min-1
Now;
100 = 68 + (230 - 68)e^-( 0.014t)
100 -68/162 = e^-( 0.014t)
0.198 =e^-( 0.014t)
ln(0.198) = -( 0.014t)
t = ln(0.198)/-0.014
t = 116 mins
Learn more about newtons law of cooling: brainly.com/question/14643865:
Answer:
Exponential function
Step-by-step explanation:
It is better if the situation on ground is represented by an exponential equation.
This is because, since we have the number of teams reducing by exactly half at every playoff round, this means that we have a base of 2 which can be raised to a negative power since we are talking about a decrease.
We can then place the number of rounds as an adjoining power to what the two is raised and this easily will get us the number of teams which is eventually decreased at every point of the playoffs
The answer is 8/9.
Hope this helped.
Answer:

Step-by-step explanation:
Here, we have to find the sum of 2 fractions:
1st fraction: 
2nd fraction: 
Considering the denominator of 1st fraction:

Using factorization method:
can be written as
.

Taking <em>5 common</em> from
and <em>y common</em> from
:

Now taking
common:

can be written as 
Now, calculating the sum:

Taking <em>LCM</em> and solving:

Hence, answer is
.
Count the number of zeros past the number 10. That is the value of M.