The number of cycles of the periodic function is 3.75 cycles if the period of a periodic function is 8 s option (G) 3.75 is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The period of a periodic function is 8 s
From the question:
8n = 30
n = 30/8
n = 3.75 cycles
Thus, the number of cycles of the periodic function is 3.75 cycles if the period of a periodic function is 8 s option (G) 3.75 is correct.
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21 3/16...as a decimal
the 21 is a whole number and goes to the left of the decimal....and the fraction 3/16 goes to the right of the decimal.
3/16 = 0.1875....now add ur 21 and u get 21.1875 inches wide
2 3/8....as a decimal
3/8 = 0.375....now put ur 2 in there and it becomes 2.375 inches thick
Answer:
The ball will reach a height of 5 ft by the 4th time.
Step-by-step explanation:
The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:
{40, 20, 10,...}
This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:
a_n = a*r^(n-1)
Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:
a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5
The ball will reach a height of 5 ft by the 4th time.
Answer:
The real part is 2
The imaginary part is -5
Step-by-step explanation:
A complex number consists of a real part and an imaginary part. For example given the complex number z = x+it
x is the real part of the complex number z i.e Re(z) = x
Imaginary part of the complex number z is y i.e Im(z) = y.
Note that the real part are on the x axis of a graph while the y axis is the imaginary axis attached to the complex notation i
Given the complex number 2-5i
Comparing 2-5i to x+iy
x= 2 and y = -5
The real part is 2 (value that is not attached to the complex notation)
The imaginary part is 5(value attached to the complex notation)
Shorter <span>piece = x
longer </span><span>piece = 4x
x + 4x = 48.5
5x = 48.5
x = 48.5/5
x = 9.7 cm </span>← shorter piece
longer piece = 4x = 4 * 9.7 = 38.8 cm
