Answer:
53.3324
Step-by-step explanation:
given that a thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 40° F.
By Newton law of cooling we have
T(t) = 
where T (t) is temperature at time t,T =surrounding temperature = 40, T0 =70 = initial temperature
After half minute thermometer reads 60° F. Using this we can find k

So equation is

When t=1,
we get

Answer: x = (0, 0)
Step-by-step explanation:
Answer:
Distance between points R=(9,7,8) and origin is,
d = 13.9283 units.
Step-by-step explanation:
We have to calculate the distance between the two points,
Where,
the first point is origin, i.e.
Q = (0,0,0)
and R = (9,7,8)
According to distance formula, the distance between two points can be given by

= 13.9283
Hence, the distance between two points R=(9,7,8) and origin is 13.9283 units.