Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer:
Step-by-step explanation:
True
The value calculated by adding all the values of in a data set and dividing the sum by the number of values → Mean
The middle value when all the values are in order from least to greatest → Median
The value that appears most often in a data set → Mode
Hope this helped :)
Answer:
$10.56
Step-by-step explanation:
Cross multiply and divide!
if the total cost is $176, multiply by the % of sales tax and divide by 100 (100%)
176 multiplied by 6% = 1,056
1,056 divided by 100% = $10.56
Step-by-step explanation:
2x^2+6x=36
x^2+3x=12
x^2+3x-12=0
x=(-3+(57)^0.5)/2 or x=(-3-(57)^0.5)/2
