What is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?
1 answer:
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Answer:
76.25°
Step-by-step explanation:
The solution to the differential equation is an exponential curve with a horizontal asymptote at Tm. It passes through (0, 145) and (30, 95), so the equation can be written as ...
T = 80 +65((95-65)/(145-65))^(t/30)
T = 80 +65(3/8)^(t/30)
That is, the temperature difference is reduced to 3/8 of its original value in 30 minutes.
Since the coffee in cup B cools twice as fast, it will cool to the same temperature (95°) in 15 minutes. In the next 15 minutes, the temperature difference will be reduced to (3/8)^2 of the original 80°, so will be 11.25°. That is, the temperature of cup B will be ...
11.25° +65° = 76.25°
after 30 minutes.
Answer:
a) ,
, b)
,
, c)
,
.
Step-by-step explanation:
The equation of the circle is:
After some algebraic and trigonometric handling:
Where:
Finally,
a) ,
.
b) ,
.
c) ,
Where:
The solution is
The parametric equations are: