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olga nikolaevna [1]
2 years ago
13

I need Help with this pls

Mathematics
1 answer:
Ainat [17]2 years ago
4 0

Answer: A

Step-by-step explanation:

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If U = {x: X € N, 1 < × < 15)
Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

5 0
3 years ago
17. Santino loves to rock different colored polo shirts every day. He recently wore the following colors:
qaws [65]

Answer:

The mode for the colors that Santino wore recently is Blue.

Step-by-step explanation:

The mode of a data set is the term or observation that presents most of the time.

The frequency table of different colored polo shirts worn by Santino is:

Color      Frequency

Yellow            2

 Blue              3

Green             1

 Pink              1

Brown            1

Orange          1

Chartreuse    1

Black              1

Puce              1

The color Blue has the highest frequency, i.e. 3.

So, the mode for the colors that Santino wore recently is Blue.

3 0
2 years ago
PLEASE HELP! The LCM of 10 and 12 is ___.
slava [35]

Answer:

<em>LCM</em><em> </em><em>of</em><em> </em><em>12</em><em> </em><em>and</em><em> </em><em>10</em><em>=</em><em> </em><em>60</em>

<em>hope</em><em> </em><em>this helps</em><em> </em><em><</em><em>3</em>

5 0
2 years ago
15) In your own words, write three or four sentences explaining what exponents are and how they are used in math
Scorpion4ik [409]

Answer:

Exponents

Step-by-step explanation:

exponents are basic short cut to write numbers like 100, 1000, 10000, 1000000 and so on.

Exponents can also be defined as 10 raised to a power x whether positive or negative

10 {}^{x}

They are mostly used in expressing units in standard form.

<h3>examples of basic positive exponents</h3>

{10}^{2}  = 100

10 {}^{3}  = 1000

{10}^{4}   = 10000

{10}^{5}  = 100000

basically the power represent the the number of zeroes after the 1.

<h3>examples of basic negative exponents</h3>

{10}^{ - 2}  = 0.01

{10}^{ - 3}  = 0.001

{10}^{ - 4}  = 0.0001

10 ^{ - 5}  = 0.00001

in negative exponents the power represents the number of zeroes before the 1. including the 0 behind the decimal point.

this is the basic lay down of how exponent work but one more quick example for maximum understanding

<h3>quick example</h3>

4 \times  {10}^{4}  = 0.0004

4 \times  {10}^{4}  = 40000

8.69 \times 10 {}^{ - 3}  = 0.00869

8.69 \times 10 {}^{  3}  = 8690

hope you grasp the concept involved in multiplication with other terms.

cheers

6 0
3 years ago
Greatest 3 digit multiple of 33 using 3 diffrent digits
mel-nik [20]

Answer:

957

The answer is this because the next 3 digit multiple of 33 would be 990.

4 0
3 years ago
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