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
Just use the Pythagorean Theorem
(9 +x)^2 = 15^2 + x^2
x^2 + 18x + 81 = 225 + x^2
18x = 144
x = 8
So the three sides of the triangle are
15, 8 and 17
Answer:
You could find the unit rate by dividing the first term of the ratio by the second term.
The same as the diagonal of a square.
Hope this helped!
Answer:
Each tank holds 4.33 gallons of water.
Step-by-step explanation:
Gallons of water used to fill tanks = 13 gallons
Number of fish tanks filled = 3 fish tanks
To calculate the amount of water in one tank, we will divide gallons of water used to fill tanks by number of fish tanks filled.
Water in one tank =
Water in one tank = 4.33 gallons
Each tank holds 4.33 gallons of water.
