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-Dominant- [34]
3 years ago
8

What is the frequency of the function f(x)? Express the answer in fraction form.

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

<u>Frequency = 1/period = \frac{1}{8\pi }</u>

Step-by-step explanation:

The frequency of the sinusoidal function = 1/period

Frequency is how many the function repeats itself per unit if time i.e: per "1"

For the given graph :

\frac{x}{4} =Bx , Where: B = 2π/period

period = 2π/B  ,   B = 1/4 = 0.25

∴ Period = 2π/0.25 = 8π

∴ Frequency = 1/period = \frac{1}{8\pi }

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Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), o
galina1969 [7]

Answer:  The correct options are

(A) relation

(B) function.

Step-by-step explanation:  We are given to check whether the following set is a relation or a relation and a function or neither :

A = {(1, 2) (2, 2) (3, 2) (4, 2)} .

Let us consider the following two sets :

U = {1, 2, 3, 4}  and  V = {2}.

Then, we see that the Cartesian Product of U and V is given by

U × V = {(1, 2) (2, 2) (3, 2) (4, 2)}.

Since a relation is a subset of Cartesian product, so the given set A is a relation.

Also, we know that a relation is a function if every first element is associated with one second element.

Since the relation A satisfies this condition, so the relation A is a function.

Thus, the given set A is both a relation and a function.

Option (A) and (B) are correct.

6 0
3 years ago
Evaluate (-4^2) - (3 *4) + 9
Elanso [62]

-19

-4 * -4 - 12 + 9

-16-12 +9

-28 + 9

5 0
3 years ago
The midpoint of AB is M(-6, 1). If the coordinates of A are (-7, -3) what are the coordinates of B?​
Mademuasel [1]

Answer:

Step-by-step explanation:

6 0
2 years ago
Find the prime factorization of each number: <br> 11. 29 <br> 12. 168
Ray Of Light [21]
29 is a prime number.
Factors of 29: 1 , 29

168 is a composite number, therefore you can find the prime factorization for it. Divide prime factors until what is left is a prime number. Use the tree factor. See attached picture:

Prime factorization of 168: 2, 2, 2, 3, 7

7 0
3 years ago
Patty made a banner that has an area of 96 square inches. The length and width of the banner are whole numbers. The length is 6
Katen [24]

Answer:

The length of the banner is 24 inches and its width is 4 inches.

Step-by-step explanation:

Let the length of the banner be L.

Let the width of the banner be W.

The length is 6 times greater than the width. This means that:

L = 6W

The area of the banner is:

A = L * W = 6W * W = 6W^2

The are of the banner is 96 square inches. This implies that:

6W^2 = 96

=> W^2 = 96 / 6 = 16

W = \sqrt{16}

W = 4 inches

The length, L, will be:

L = 6 * 4 = 24 inches

The length of the banner is 24 inches and its width is 4 inches.

4 0
3 years ago
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