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
Answer:
1/15 per min
Step-by-step explanation:
3 times 5 equals 15
Put the 15 on the bottom of the fraction and then put the 1 on top of the fraction, there you go.
Answer:500 on top of the water and 9,500 below
Step-by-step explanation:
Answer:
Aria unui triunghi =120 cm²
Step-by-step explanation:
Folosind formula:
Aria unui triunghi = (baza x înălțimea) / 2
A=(20x12)/2
=240/2 cm²
=120 cm²
Aria unui triunghi =120 cm²
Answer:
t = 40
Step-by-step explanation:
Given the logarithmic expression: 
Use the Logarithmic Property (Quotient Rule):


Next, using the Logarithmic Property: 
We must determine the possible value of <em>t</em> that can be divided by 5 to produce a quotient of 8 that will make the <u>logarithmic property</u>,
, true. In that case,<em> t </em>= 40 divided by 5 results in a quotient of 8.

Therefore, the value of <em>t</em> = 40.