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otez555 [7]
4 years ago
13

In the Venn diagram, consider U = {whole numbers 1-100}

Mathematics
2 answers:
Dmitry [639]4 years ago
6 0
The question is what numbers satisfy A ∩ C.

The symbol ∩ means intersection, .i.e. you need to find the numbers that belong to both sets A and C. Those numbers might belong to the set C or not, because that is not a restriction.

Then lets find the numbers that belong to both sets, A and C.

Set A: perfect squares from A to 100:

1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100

=> A = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

Set C: perfect fourths

1^4 = 1
2^4 = 16
3^4 = 81

C = {1, 16, 81?

As you see, all the perfect fourths are perfect squares, so the intersection of A and C is completed included in A. this is:

A ∩ C = C or A ∩ C = 1, 16, 81

On the other hand, the perfect cubes are:

1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 81

B = {1, 8, 27, 81}

That means that the numbers 1 and 81 belong to the three sets, A, B, and C.

In the drawing you must place the number 16 inside the region that represents the intersection of A and C only, and the numbers 1 and 81 inside the intersection of the three sets A, B and C.
Maksim231197 [3]4 years ago
6 0

Answer:

1, 16, 81

Step-by-step explanation:

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In a group of 31 students, 7 study both Art and Biology.
ale4655 [162]

Answer:

it is 358

Step-by-step explanation:

Hope this helped have an amazing day!

7 0
3 years ago
The length of a rectangular computer chip is 22 x 10 cm and the width is 7 x 104 cm. Explain how to
mash [69]

Answer:

area = 160160 inches²

area = 1.6016 × 10⁵ inches²

Step-by-step explanation:

The length of the rectangular computer chip is 22 × 10 cm and the width is 7 × 104 cm .  

The area of the rectangular computer chip is the product of the length and the width.

area = length × width

area = (22 × 10) × (7 × 104)  

area = 220 × 728

area = 160160  inches²

In scientific notation

area = 1.6016 × 10⁵ inches²

160160 is written as 1.6016 × 10⁵ because 1.60160 × 100000 = 1.6016 × 10⁵

7 0
3 years ago
Help helphelpherllplpeleplpglhler
IRINA_888 [86]
1.) 10² + 4 · (6 + 3) - (27 ÷ 9) - 6 = 127 
For these types of questions, try to think of it like, well since the last number is negative 6, let me try to get everything before it to equal 133 so it will end up being 127. :)

2.) ( \frac{3}{5}  -  \frac{1}{2} ) ÷ \frac{1}{2} + 1.6·(0.3 + 0.42)
= 1/10 ÷ 1/2 + 1.6 · (0.72)
= 1/5 + 1.152
= 1.352
Remember that dividing a fraction by a fraction is like multiplying the coefficient of the second one to the original one.

3.) 15 · 1/2 ÷ 3/4
Remember that product is multiplication and quotient is division.

4.) \frac{(54 \frac{3}{10} - 11 \frac{7}{10}) }{3}
Remember that difference is subtraction and separating into three parts is like dividing it into three parts.


Hope this helped and ask me for further explanation! ^-^
5 0
4 years ago
HELP ME PLZ!! I WILL GIVE U 10 POINTS!!
yanalaym [24]
That's a lot of questions. First, they're asking for how much each person pledged. Ivan said he would give $4.25, plus $1.25 per mile. As an expression, that would be 1.25m+4.25 . Vicky said that she would give $5.75, plus $.75 per mile, which would be .75m+5.75 . The second problem asks you to add the two, so add 1.25m and .75m to get the total amount she would earn per mile, which is $2. If I got paid $2 for every mile I biked, I would bike a marathon. Then add the flat payments of $4.25 and $5.75, and you get $10. So, the final equation would be 2m+10. 

The last question is asking for you to find an equivalent proportional expression. To find this, you can just dividing by the greatest common factor of the two numbers. I got 2, so the equation would be 1m+5. 
8 0
3 years ago
Select the correct answer.<br> What is this expression in simplified form?<br><br> \root(3)(-1024)
Naddik [55]
5865 mins instead I had a few
7 0
3 years ago
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