Answer:
Step-by-step explanation:
In this system we have the force of the spring and the gravitational force. The equation that describes that is

where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have

the solution for this differential equation is (by using the characterisic polynomial)

hope this helps!!
Answer:
a. L = 20t
Step-by-step explanation:
The length increases by 20 millimeters per minute
Answer:
<u>18.8%</u>
Step-by-step explanation:
For calculating this, focus on one part of the table :
- The row where students do not like sandwiches
There are 32 students who do not like sandwiches, and 6 of them do not like pies. Take this a proportion :
- P (does not like pies, do not like sandwiches) = 6/32
- P = 3/16
- P = <u>18.8%</u>
Answer: The correct option is
(C) y = −8 ÷ 2; y = −4.
Step-by-step explanation: We are given to select the correct steps that shows the solution to the following equation :

We know that
the solution to the equation
is given by

Therefore, the solution of equation (i) is as follows :

Thus, (C) is the correct option.
Answer:
it can be use in equation
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic.