A) You want to find t such that
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)
b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min
Given ↓
<h3>To Find ↓</h3>
<h3>
Calculations ↓</h3>

↑ formula for volume of a sphere
r = 5 in
Plug in the value of r and solve :

Simplify as follows :


Final Step :


Answer:
Depth of Martens aquarium water = 14 cm.
Step-by-step explanation:
Given:
An aquarium,which is a right rectangular prism.
Length of the aquarium,
= 18.5 cm
Width of the aquarium,
= 15 cm
Volume of the aquarium,
= 3885 cm cubes
We have to find the depth of the aquarium.
Let the depth be
cm.
Note:
Volume of the rectangular prism,V=lbh.
⇒
= 
⇒ 
⇒ Plugging the values.
⇒
⇒
cm
So,
The depth of the aquarium water is 14 cm.
Answer:
Step-by-step explanation:
3/5, 12/20