Answer:
A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if: y = k x. for some constant k , called the constant of proportionality .
Step-by-step explanation:
Answer:
B. 7.3 %
Step-by-step explanation:
Given:
Initial average grade = 82
Final average grade = 88
Duration for the increase = 3 weeks
Therefore, increase in average grade = Final - Initial = 88 - 82 = 6
Now, percent increase in average grade is given as:

Therefore, the percent increase in her average grade over the 3-week period is 7.3 %.
Answer:
20.6693
Step-by-step explanation:
Answer: ![\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5B%5Cln%20%28x%2B1%29%2B%5Cln%28x-1%29%5D)
Step-by-step explanation:
Properties of logarithm :



The given expression in terms of Natural log : 
This will become
[ By using Property (3)]

[
]
[ By using Property (1)]
Hence, the simplified expression becomes
.