Solution:
We know, g(x) = f(x) + k --------(1)
It is given that f(x) = (x+2)
and g(x) = (x+5)
Substituting f(x) and g(x) into equation (1):
→ (x+5) =
(x+2) + k
→ = k
→ k =
Thus, the value of k is 1.
A recent study showed that women who lived near a freeway had an unusually high rate of rheumatoid arthritis. Sarah said, "They
2 answers:
You might be interested in
Answer:
4.0921 reflects the logarithm of the equilibrium constant.
Step-by-step explanation:
; E° = - 0.41 V
; E° = 0.80 V
Iron has a negative reduction potential, indicating its tendency to lose electrons and undergo oxidation, and thus it will be at the anode.
=Reduction potential of cathode - Reduction potential of anode
; E° = - 0.41 V
; E° = 0.80 V
Net reaction:
n = 2
To determine the equilibrium constant, we utilize the correlation with Gibbs free energy, as follows:
and,
Aligning these two equations yields:
where,
n = electrons transferred = 2
F = Faraday's constant = 96500 C
= standard electrode potential of the cell = 1.21 V
R = gas constant = 8.314 J/K.mol
T = reaction temperature =
Substituting values into the equation, we arrive at:
4.0921 represents the logarithm of the equilibrium constant.
Answer:
Step-by-step explanation:
The probability distribution for the random variable X is provided.
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) The expected value E(X), representing the mean of X, equates to 5.3.
Standard deviation is the square root of the variance, which amounts to 0.9.
------------------------------------
b) For the mean of the sample, we find:
Mean = 5.3
Variance = var(x)/n =
c)