Answer:
B is the answer to your question!
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:
Step-by-step explanation:
SIDE OF THE SQUARE = 6 cm = DIAMETER OF THE CIRCLE.
AREA OF THE CIRCLE = (Pi/4)*6^2 = [(22/7)/4]*36 = 22*9/7 = 28.2857 sqcm
or
First, find the side length of the square. (Find the square root of 36 cm^2, to get 6 cm as the side length of the square).
Second, find the radius of the circle inside the square. The side length of the square is the diameter of the circle. Radius is half of the diameter. So, half of 6 cm is 3 cm; this is the radius of the circle.
Third, find the area of the circle by using the formula, A = pi x radius x radius
so, Area = 3.14 x 3 cm x 3 cm
by calculation we get the area of the circle is 28.26 cm^2
Where pi is a constant of 22/7 or 3.14
Answer:
a. The probability of taking out a purple flower is 0.47.
b. The probability that out of a sample of 5 flowers at least 3 flowers are yellow 0.56.
c. The standard deviation of the distribution for proportion of yellow flowers is 0.22.
d. The probability that out of the 263 samples, at most 150 of them are yellow is 0.90.
Step-by-step explanation: