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Effectus [21]
3 years ago
12

I need help with this question please

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

Answer: it C

Step-by-step explanation: if it not incorrect sorry for the wrong answer

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FIND THE NUMBER OF SUBSETS FOR SET
Ira Lisetskai [31]

Answer:

a) 8 subsets

b) 32 subsets

Step-by-step explanation:

The total number of subset of a set is known as the power of the set

Power of a set is expressed as;

P = 2^n

n is the number of element in the set

a) For a set containing 3 elements

n = 3

Power of the set = 2³

Power of the set is 8

This means that the set contains 8 different subsets

b) Cardinality of a set is the total number of element in the set

If the cardinal number of a set is 5, this means that the set contains 5elements

Hence the power of the set will be;

P = 2^5

P = 32

Hence the total number of subset for set whose cardinal number is 5 is 32

4 0
3 years ago
What is the frequency of the function f(x)?
Readme [11.4K]

Answer:

The frequency = 5/2π

Step-by-step explanation:

* Lets revise some facts about the trigonometry function

- If the function is f(x) = A sin (B x + C) + D  

* A is the amplitude  

- The amplitude is the height from highest to lowest points and  

 divide the answer by 2  

* The period is 2π/B  

- The period is the distance from one peak to the next peak

- Period and Frequency are related where frequency = 1/period

* C is the horizontal shift  

- The horizontal shift is how far the function is shifted to left  

 (C is positive) or to right (C is negative) from the original position.  

* D is the vertical shift  

- The vertical shift is how far the function is shifted vertically up

  (D is positive) or down (D is negative) from the original position.  

* Lets solve the problem

∵ f(x) = 3 cos (5x) + 2

∵ f(x) = A sin (B x + C) + D  

∴ A = 3 , B = 5 , C = 0 , D = 2

∵ The period = 2π/B

∴ The period = 2π/5

∵ The frequency = 1/period

∴ The frequency = 1/(2π/5) ⇒ multiply up and down by 5

∴ The frequency = 5/2π

4 0
4 years ago
Is 0.144 rational or irrational ?
madam [21]
Irrational numbers can be written as decimals but not as fractions.

0.144 is a decimal, but it can also be written as 18/125. So this is a rational number.

√0.144 is equal to 0.3794733192. It cannot be expressed into a fraction. So, this is an irrational number.

√0.0144 is equal to 3/25. So, this is a rational number.

I hope I was able to help you. Have a good day.
4 0
3 years ago
Figure B is a scaled copy of Figure A.
zimovet [89]

Answer:

4

Step-by-step explanation:

We are told that figure B is a scaled copy of B, which means figure A was enlarged by a certain scale factor to get a similar figure as A, now referred to as figure B.

The scale factor = ratio of any two corresponding sides of both similar figures.

Thus,

Scale factor of the similar figures given = 40/10 = 4.

This means that, figure A was scaled up by 4 times its original size to get figure B. Each side of figure B is 4 × the corresponding side in figure A.

Scale factor = 4

7 0
3 years ago
Fill in the blanks.<br> 3 + (2 + 5) + (3 + 2) +_ <br><br> 3 + _ = 9 + 3
solong [7]

Answer:

3 + (2 + 5) =(3 + 2) +<u>5</u>_

3 + <u>9</u>_ = 9 + 3

6 0
3 years ago
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