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2 years ago

Form the union for the following sets.

Mathematics

2 answers:

djverab [1.8K]2 years ago

4 0

Answer: The correct option is

(B). {6, 7, 8, 9, 10}.

Step-by-step explanation: We are given two sets M and N as follows :

M = { } and N = {6, 7, 8, 9, 10}.

We are find the union of the sets M and N, i.e., M ∪ N = ?

We know that

the union of two sets contains elements that are present in either and both of the sets.

Therefore, the union of sets M and N will be

M ∪ N = { } ∪ {6, 7, 8, 9, 10} = {6, 7, 8, 9, 10}.

Thus, (B) is the correct option.

Readme [11.4K]2 years ago

3 0

The union of the sets are the values that appear in both sets when plotted in a Venn diagram and if I'm not mistaking, I think the right answer is (B)

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640 rounded to the nearest tens

Reptile [31]

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2 years ago

Read 2 more answers

Pls solve question 4b. Verrry urgent . Ok tyy

kodGreya [7K]

Answer:

$y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}$

Step-by-step explanation:

Given equation:

$y = 3x^2 - 9x + 17$

Factor out 3 from the first 2 terms:

$y = 3(x^2 - 3x) + 17$

Divide the coefficient of x by 2 and square it: (-3 ÷ 2)² = 9/4

Add this inside the parentheses and subtract the distributed value of it outside the parentheses:

$y = 3\left(x^2 - 3x+\dfrac{9}{4}\right) + 17-\dfrac{27}{4}$

Factor the parentheses and combine the constants:

$y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}$

8 0

1 year ago

Find the volume of the shaded figure by subtracting the smaller volume from the larger

alekssr [168]

Answer:

a. $9a^3 - 9ab^2$

b. $9a(a^2 - b^2)$

Step-by-step explanation:

$Volume = l*w*h$

$Volume_{smaller} = l*w*h$

Where, $l = 9a, w = b, h = b$

$Volume_{smaller} = 9a*b*b = 9ab^2$

$Volume_{larger} = l*w*h$

Where, $l = 9a, w = a, h = a$

$Volume_{smaller} = 9a*a*a = 9a^3$

Volume of the shaded figure = $9a^3 - 9ab^2$

b. $9a^3 - 9ab^2$ expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

$9a^3 - 9ab^2 = 9a(a^2 - b^2)$

6 0

2 years ago

Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The

Lady bird [3.3K]

Answer:

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$