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
You would move all terms that don’t contain x to the right side and solve. Answer : x= -3
The approximate side length of a square game board with an
area of 184 in^2 is 14 inches
<h3>Area of a square</h3>
The formula for calculating the area of a square is expressed as;
A = l^2
where
l is the side length of a square
Given the following parameters
A = 184 square inches
Substitute
184 l^2
l = √184
l = 13.56
Hence the approximate side length of a square game board with an
area of 184 in^2 is 14 inches
Learn more on area of a square here: brainly.com/question/25092270
#SPJ1
Answer: A(-4,3) B(9,3) C(7,0) D(-6,-4)
Step-by-step explanation: add 3 to each x value and subtract 2 from every y value
50 X (40 X$20) = 50 X $800 = $40,000
15 X (4 X (50% X $20+ $50)) = 15 X (4 X $60) = 15 X 240 = $3600
$40,000 + $3600 = $43,600 Total payroll
$3,600/$43,600 = .0825688073 as a percent rounded to the nearest tenth is 8.3%
