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:
12
Step-by-step explanation:
3 + x>-9 x=12 15>-9
Alternate interior angles I believe
Answer:
Maximum height=9.8 ft and Time taken by soccer ball will be 0.8 secs
Step-by-step explanation:
Answer:
Question 1:
(b) 4,445
Question 2:
(c) 2.1%
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is of:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Question 1:
We have no previous estimate for the population proportion, so we use 
.
The sample size is n for which M = 0.015. So
Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.
Question 2:
Now we find M for which 
.
So 2.1%, and the correct answer is given by option c.
