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otez555 [7]
3 years ago
13

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

Mathematics
2 answers:
Dmitry [639]3 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]3 years ago
6 0

Answer:

1, 16, 81

Step-by-step explanation:

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What is the geometric mean between 1 and 16?
vladimir2022 [97]
-4 is also a geometric mean

if we consider a(first element in series)=1 and r(common ratio)=-4 then the series would be

1,-4,16,-64,256,…..,a(-4)^(n-1 )

where n is nth term

from this -4 would be the geometric mean if we consider -4 as common ratio .

If we consider 4 as common ratio then geometric mean should be 4

so you should mention whether common ratio >0 or not (r>0 or not) .

[without ‘r’ value you can’t solve the question but in general most of the teachers will consider r>0.]

So, -4 won’t be geometric mean of 1 & 16
3 0
3 years ago
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Answer:

0.015 km/s

Step-by-step explanation:

40 km/hr

0.015 km/s

0.015 ÷ (1/3600)

0.015 × 3600

= 54 km/hr

7 0
2 years ago
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Which graph shows a proportional relationship between x and y??
Lena [83]

Answer:B

Step-by-step explanation:

B is has a proportional x and y value because they're increasing at the same rate which is 0

6 0
3 years ago
$500 shared in ratio 2:3:9
RideAnS [48]
2:3:9......added together = 14

2/14 (500) = 1000/14 = 71.43
3/14 (500) = 1500/14 = 107.14
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6 0
3 years ago
Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)
VMariaS [17]

ANSWER

(3x  - 2)(x + 4)

EXPLANATION

The given quadratic trinomial is

3 {x}^{2}  + 10x - 8

Comparing to the general quadratic trinomial:

a{x}^{2}  + bx  + c

We have a=1, b=10 and c=-8

ac =  3  \times  - 8 = - 24

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

3 {x}^{2}   + 12x   - 2x- 8

Factor;

3x(x+ 4)  -  2(x + 4)

Factor further;

(3x  - 2)(x + 4)

The last option is correct.

4 0
3 years ago
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