Answer:
The equation of the displacement 
as a function of time 
is :
Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple 
or 
terms.
Thus,
is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time </em> - <em>
is amplitude </em> - <em>
is the natural frequency of oscillation (
)</em> - <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) = 
- The natural frequency () and time period () is :
∴
= 
∴
the equation :
<em>⇒
</em> ------1
since 
when 
,
<em>⇒
------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction , 
must be negative or c must be an odd multiple of 
.</u>
<em>⇒ 
------3</em>
where k is also an integer ;
the least value of 
;
thus ,
the equation is :
<em></em>
Answer:
8.284 × 10^4 m^2
Step-by-step explanation:
The area is the product of length and width:
(5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2
Step-by-step explanation:
1)
3x+3
2)
10+2x
3)
8x+24
4)
8a+8b+8c
If Hannah gives her younger sister 3 shirts, it does not matter what order she hands them to her. No matter the order, it will still be the same group of 3 shirt. Since order is not important this problem can be solved using a combination.
Specifically, we are asked to find 8C3 (sometimes called "8 choose 3"). This is a fraction. In the numerator, we start with 8 and count down 3 numbers. In the denominator, we start with 3 and count all the way down to 1.
your answer is 56
Find the area of all the separate figures and add them together
area of rectangle = length x width
11 x 3 = 33 ft
area of square = a^2
3^2 = 9ft
area of triangle = base x height over 2
11 x 3 = 33
33 over 2 = 16.5 ft
33 + 9 + 16.5 = 58.5 ft ^ 2
