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:
14708
Step-by-step explanation:
The growth factor is 100% + 2.5% = 102.5% = 1.025
Population after 5 years
= 13000 × 
≈ 14708 ( to the nearest whole number )
Answer:
your answer should be 15%
Convert all the equations to slope-intercept form:



Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.
Answer:
B. Zero
Step-by-step explanation:
The slope of the line is in the the first two quadrants and is horizontal, meaning it has zero slope.