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:
Step-by-step explanation:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle, square or other you have to add the lengths of all the sides.
For example if it comes out to 90 then you round it to the nearest hundredth.
Hope it helps
Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Explanation:
Given expression:

<em>Step-1: </em>Add the exponents and keep the same base by using
property.

Step-2: The reciprocal of
is
, which is 
Step-3: The exponent of
is +1; therefore, change the sign of exponent. The end expression will now become:

Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
27x-6=9x-1
27x-9x =-1+6
18x = 5
x = 5/18
Answer:
h = 7 + 6x
Step-by-step explanation:
Since we are trying to find the height of the tree, we put h on the left side of the equation. Since the tree is 7ft tall at the moment, we write 7ft on the right side of the equation. Knowing that the tree grows 6 inches each year (x) we write 6x on the right side of the equation.