Acceleration is the change of velocity per unit change of time. In this case, given the velocity equation, we can get the acceleration of the particle by taking the first derivative of the equation. v'(t)= t^2 (1/t+2) + 2t In(t+2). substituting t= 6, acceleration is equal to 29.45 m/s2.
Will start to distribute the 2 in (x-7)
so it can be (2x-2*7)=100
(2x-14)=100
2x=100+14
2x=114
x=114/2
x=57
Answer: The average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.
Step-by-step explanation:
Given: Number of visits in 1998 = 1.3 billion
Number of visits in 2002 = 1.5 billion
The average rate of change in the number of public library visits from 1998 to 2002 = 

Hence, the average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.
Answer:

General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3x + 47y = 1094
<u>Step 2: Solve for </u><em><u>y</u></em>
- Subtract 3x on both sides: 47y = 1094 - 3x
- Divide both sides by 47: y = (1094 - 3x)/47