The vibration period of the spring will be 0.2 seconds
<em><u>Explanation </u></em>
The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...

Given that, the weight(w) = 2.0 kilograms
So, <u>plugging w = 2.0</u> into the above equation, we will get...

So, the vibration period of the spring will be 0.2 seconds.
Answer:
75%
Step-by-step explanation:
Mallards = 3/4 of the ducks in the pond
What percentage of the ducks are mallards?
percentage of the ducks that are mallards = 3/4 × 100
= (3 * 100) / 4
= 300/4
= 75%
percentage of the ducks that are mallards = 75%
Given:
The volume of the sphere = 12348π in³
To find the radius of the sphere.
Formula
The volume of a sphere of radius r is

According to the problem,

Eliminating π from both the side.
or, 
or, 
or, 
or, ![r=\sqrt[3]{9261}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B9261%7D)
or, 
Hence,
The radius of the sphere is 21 inches.
Answer:
16π square units.
Step-by-step explanation:
Please refer to the graph below.
So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).
By the shell method:

We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):

Evaluate. Simplify:

Hence:

Evaluate:
![\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20V%20%26%3D%202%20%5Cpi%20%5CBig%5B%284%282%29%5E2-%5Cfrac%7B1%7D%7B2%7D%282%29%5E4%29-%284%280%29%5E2-%5Cfrac%7B1%7D%7B2%7D%280%29%5E4%29%5CBig%5D%5C%5C%20%26%3D2%5Cpi%288%29%20%5C%5C%26%3D16%5Cpi%5Ctext%7B%20square%20units%7D%20%5Cend%7Baligned%7D)