Answer:
The equation that represents the motion of the string is given by:
.....[1] where t represents the time in second.
Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.
Substitute the given values in [1] we get;
or
(a)
The trigonometric function that models the motion of the string is given by:

(b)
Determine the amount of time t that it takes the string to be damped so that 
Using graphing calculator for the equation
let x = t (time in sec)
Graph as shown below in the attachment:
we get:
the amount of time t that it takes the string to be damped so that
is, 0.5 sec
Answer:
Question 1 - 81.74 Pound sterling
Question 2 - 20.28 Pound sterling
Question 3 - 21.72 United States Dollar
Question 4 - 429.38 New Zealand Dollar
Question 5 - 451.28 Euro
Question 6 - 2,936.88 Chinese Yuan
(That's all I got.)
Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?
Answer:
Step-by-step explanation:
Given:
Sam divided a rectangle into 8 congruent rectangles that each have an area of 
We need to find the area of the rectangle before Sam divided it.
The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.
Area of the rectangle =
Area of the congruent rectangle is 
So the area of the rectangle is
Area of the rectangle =
Area of the rectangle =
Therefore the area of the rectangle before divided is
Answer:
Jacqueline runs at 6.25 minutes per mile
Step-by-step explanation:
Here we have that the total training time for Jacqueline = 54 minutes
The time for which Jacqueline swims = 30 minutes
Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes
Therefore the equation for Jacqueline's speed = Distance/Time we have
Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute
Therefore Jacqueline's pace = 0.16 miles/minute
The equation for Jacqueline's pace in miles/minute is presented as follows
Jacqueline's pace in miles/minute = Time of running/Distance
Jacqueline's pace in miles/minute = 1/0.16 miles/minute = 6.25 minutes/mile.
Answer:
A.s<30
Step-by-step explanation:
We are given that
Number of students who ride in a bus=s
We have to find the inequality which represents the given situation.
According to question
s<30
A.s<30
It is true.
B.s>30
It is false because s is less than 30
C.
It is false because s<30
D.
It is false because s<30
Option A is true.