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Novosadov [1.4K]
3 years ago
15

Find the intersection and union of the sets A and B given below:

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

Intersection: {w, 7, y}

Union: {a, m, w, u, 7, y, g}

Step-by-step explanation:

The intersection of two or more sets are the elements they have in common, that means the elements that are in all the sets at the same time.

For example, "a" is in A but not in B, that's why is not in the intersection. On the other hand, "w" is in both sets, so it's in the intersection.

The union are all the elements that are in one set or the other, but we don't add the element twice if it's in both sets.  

For example, "a" is in A so we add it to the union. "w" is in A so we add it to the union but it's also in B, we don't add it again because it is already in the union.  

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A candy box is made from a piece of cardboard that measures 23 by 13 inches. Squares of equal size will be cut out of each corne
wolverine [178]

Answer:

2.67 inches.

Step-by-step explanation:

Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).

The formula for a rectangular box = L × B × W

= (23 -2y)(13-2y) (y)

= (299 - 46y - 26y + 4y²)y

= 299y - 72y² + 4y³

Now for the maximum volume:

dV/dy = 0

This implies that:

299y - 72y² + 4y³ = 299 - 144y + 12y² = 0

By using the quadratic formula; we have :

= \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}

where;

a = 12; b = -144 and c = 299

= \dfrac{-(-144) \pm \sqrt{(-144)^2 -4(12)(299)}}{2(12)}

= \dfrac{144 \pm \sqrt{20736 -14352}}{24}

= \dfrac{144 \pm \sqrt{6384}}{24}

= \dfrac{144 \pm79.90}{24}

= \dfrac{144 + 79.90}{24} \ \  OR  \ \   \dfrac{144 - 79.90}{24}

= 9.33 \ \  OR  \ \ 2.67

Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33

Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.

3 0
3 years ago
How to locate root 7 on numberline
Andru [333]
First draw a number line both +ve and -ve integers and first represent root 2 on the number line and then root 3 and 4 5 6 and at last repesent 7 on it 
8 0
3 years ago
Somebody please do this right for me
Natasha_Volkova [10]

Step-by-step explanation:

What do u mean by reflected on the axis? You want the equation?

4 0
3 years ago
X on the top and 24 on the bottom 11 on the top 6 on the bottum
azamat

Answer:

x = 44

Step-by-step explanation:

this is a proportion which you can solve by cross-multiplying:

6x = 24·11

6x = 264

x = 264/6

x = 44

8 0
3 years ago
Read 2 more answers
Pls help find the value of x
irinina [24]
I think the answer is 95
Explanation = first add 100 with 45 you will get 195 then subtract 180 with 195 then you will get 95. 95 is the answer
5 0
3 years ago
Read 2 more answers
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