Answer:
1/2, 9/16, 5/8, 3/4
Step-by-step explanation:
Your answer is going to be X=-6
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:
![y =0.6e^{-1.8t}\cos(210\pi t)](https://tex.z-dn.net/?f=y%20%3D0.6e%5E%7B-1.8t%7D%5Ccos%28210%5Cpi%20t%29)
(b)
Determine the amount of time t that it takes the string to be damped so that ![-0.24\leq y \leq0.24](https://tex.z-dn.net/?f=-0.24%5Cleq%20y%20%5Cleq0.24)
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:
31, 32, 33
Step-by-step explanation:
three consicutive numbers means 3 numbers in a row
sum 96 is the total you want to reach
31 + 32 + 33
Answer:
A
Step-by-step explanation:
Put brackets around the first two tems.
y = (x^2 - 8x) + 29
Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.
1/2 (- 8) = - 4
(- 4)^2 = 16
y = (x^2 - 8x + 16) + 29
Subtract 16 outside the brackets.
y = (x^2 - 8x + 16) + 29 - 16
Do the subtraction
y = (x^2 - 8x + 16) + 13
Represent what is inside the brackets as a square.
y = ( x - 4)^2 + 13
The answer is A