The graph of the function y = sin 0.5x is option A. This can be obtained by using period of the graph function.
<h3>Which is the required graph?</h3>
Periodic function is a function that repeats at uniform intervals; the time interval between two waves is called the period.
- A function f will be periodic with period n,
f (a + n) = f (a), ∀ n > 0.
After first n the function is same that is f(a), after second function is the same, the function is repeated with an interval of n.
- For example: the period of sin a is 2π for the reason that the smallest number satisfying sin (a + 2π) = sin a is 2π, for all a.
Therefore the formula for period of a function is 2π/|B| when the function is y = A sin(Bx + C) and y = A cos(Bx + C).
For a function y = sin bx, period is given by,
P = 2π/b
Here function is y = sin 0.5x, therefore b = 0.5
P = 2π/0.5
=20π/5
= 4π
Period is 4π. The first graph has period 4π.
Hence the graph of the function y = sin 0.5x is option A.
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Question: Which could be the graph of the function y = sin 0.5x?
Answer:
$9.98
Step-by-step explanation:
The first step is to calculate the total fabric that Calista has
= 2 1/2 + 1 3/4
= 5/2 + 7/4
= 17/4
The next step is to calculate the fabric that she needs
= 17/4-3
= 5/4
If each yard of fabric costs $7.98 then the amount needed can be calculated as follows
= 7.98 × 5/4
= 7.98 × 1.25
= 9.975
= $9.98
Hence Kalista needs $9.98
Answer:
6 students must be enrolled.
Step-by-step explanation:
F(x) must be greater than 0. Thus, 70*n-400 must be greater than 0.
70*n -400 >0
70*n > 400
n > 400/7
n > 5.7
n >6
Answer:
Step-by-step explanation:
4 6 x y 10
As x is the median number of this sequence, we know that the mean would be equal to this.
The mean is defined as:
So we can say that:
Rearranging this, we get:
As we know that:
So we can substitute in values and see which fit the equality:
Subbing in x as 6 gives us,
However, y must be bigger than x and must be between 6 and 10, so this is incorrect.
Subbing in x as 7 gives us,
As 8 is bigger than 7, and is in between 6 and 10, this means all of our inequalities have been met and we have the correct answer.
Answer:
subtraction
explanation:
addition/subtraction are always the last operation in the order of operations
