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:
r = 3 inches
Step-by-step explanation:
The formula for the volume of a sphere is the following:
V = (4π/3)r^3
You know the volume so plug that in for V:
36π = (4π/3)r^3
27 = r^3 (multiply by 3/4π to get r^3 by itself)
r = 3 (you take the cube root of r and 27 to get the value of r)
Hope this helps :)
Answer:
True
Step-by-step explanation:
∠4 ≅ ∠5 are corresponding angle and equal to each other
I'm pretty sure you just multiply the 1 1/4 by 3 because if 1 1/4 makes 10 muffins you need to make 3 more dozens so 1 1/4 times 3 equals 3.75
Answer:
30n^15
multiply exponents add reg numbers