Answer:
answer is 47
Step-by-step explanation:
first arrange in ascending order
position of median =((N+1)÷2)th term *N is number of data
=6÷2 th term
=3 th term
Therefore 3rd term is 47
Answer:
13.57 kg
Step-by-step explanation:
Let the amount of salt in a tank be =
= 
= 0.3 kg/L
The concentration of salt coming into the tank = 0.333kg/L
We know that the concentration of salt leaving the tank should be:
amount of salt in the tank/volume of tank = y(t)/50 L
rate of change of salt = rate in - rate out
= 0.66 - 
solving the differential equation gives :
ln y = 0.66/y (t) - 0.02 t + C
Initial conditions, t= 0; y (0) = 15
then ln 15 = C
ln y =
t - 0.02t + ln 15
ln
= 0.02t
y = 15e( exp -0.02t)
the amount of salt in 5 mins will be:
y (t) = 15e(exp -0.02 (5)
= 13.57 kg
Answer:
(x^4 + 5 x^3 - 16 x^2 - 36)/x^2
Step-by-step explanation:
Simplify the following:
x^2 + 5 x - 16 - 36/x^2
Put each term in x^2 + 5 x - 16 - 36/x^2 over the common denominator x^2: x^2 + 5 x - 16 - 36/x^2 = x^4/x^2 + (5 x^3)/x^2 - (16 x^2)/x^2 - 36/x^2:
x^4/x^2 + (5 x^3)/x^2 - (16 x^2)/x^2 - 36/x^2
x^4/x^2 + (5 x^3)/x^2 - (16 x^2)/x^2 - 36/x^2 = (x^4 + 5 x^3 - 16 x^2 - 36)/x^2:
Answer: (x^4 + 5 x^3 - 16 x^2 - 36)/x^2
Answer:
2.3
Step-by-step explanation: