Answer:

Step-by-step explanation:
Hi!
Lets call:
T = temprature of the object
T₀ = temperature of surroundings
t = time
The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

Answer:
c. 25
Step-by-step explanation:
(f ∘ g)(-2) = f(g(-2)) = f(-2-3) = (-5)² = 25
For this problem, it seems to work best to evaluate g(-2), then evaluate function f on that. (In other cases, it might be useful to simplify the composite function first.)
we have

Step 
Move the constants to the right side

Step 
Factor 3 out of the variable terms

Step 
Add
to both sides of the equation


Step 
Write the polynomial as a binomial squared

therefore
the answer is
Factor 3 out of the variable terms.
Center will be (6,-4) and the radius will be square root of 7
Answer:
the answer is c
Step-by-step explanation: