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:
Shown is one-fourth of a circle. Also, according to the picture, the radius is 28 meters.
The area for a whole circle is 
.
Using that information, we can find the area as if the circle was whole instead of just the fourth.
Now that we know the area of the whole circle, we just have to divide it by four to find the area of the fourth of the circle.
That means that the area of the shape shown is .
I hope this helps!
Answer:
slope = -1/12
Step-by-step explanation:
From the figure we can see that the line passes through 2 points which are
(-6,-1) and (6,-2)
Use the formula y2-y1/x2-x1
(-2-(-1))/6-(-6)
(-2+1)/6+6
-1/12
Answer:
B
Step-by-step explanation:
The differences in the terms of f(x) are + 3, + 5, + 7
Since the differences are not constant the relationship is not linear
Note the differences in the differences are + 2, + 2,
The second differences are constant indicating a quadratic relationship
Note the relationship between x and f(x)
x = 1 → 1² = 1 ← require to add 5, that is 1 + 5 = 6 ← value of f(x)
x = 2 → 2² = 4 ← require to add 5, that is 4 + 5 = 9 ← value of f(x)
x = 3 → 3² = 9 ← require to add 5, that is 9 + 5 = 14 ← value of f(x)
x = 4 → 4² = 16 ← require to add 5, that is 16 + 5 = 21 ← value of f(x)
Thus f(x) = x² + 5 → B
Y=-5X which is the equation you use to figure out the answer
