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Karolina [17]
3 years ago
15

Consider the three restrictions (i), (ii), and (iii) placed on the sets in Cantor’s Theorem. (a) Find a sequence of sets that sa

tisfies (i) and (ii), but . (b) Find a sequence of sets that satisfies (i) and (iii), but . (c) Find a sequence of sets that satisfies (ii) and (iii), but .

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer:

check the explanation

Step-by-step explanation:

When it comes to the field of elementary set theory, Cantor's theorem is a basic result which affirms that, for whichever set, the set of the entire subsets will have a strictly bigger cardinality than itself. For the finite sets, Cantor's theorem can be affirmed to be true by plain enumerating the number that are in the subsets.

The full step by step explanation is in the attached image below

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The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of
jolli1 [7]

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

7 0
3 years ago
The box plots represent the ages of pennies in two 50-cent rolls. By looking at the plots, Beth says that the two means are abou
Jlenok [28]

Answer:

The correct option is D

D) She may not be correct because means cannot be determined from the box plots

Step-by-step explanation:

The question is incomplete because the box plots are not attached in the question. I've attached the box plots of this question at the bottom.

The box plot, also know as box and whisker plot, displays only five type of values, which are:

  1. Minimum value
  2. First Quartile
  3. Median
  4. Third Quartile
  5. Maximum value

Mean cannot be determined by just lookin at the box plots. To find the mean, we need to know the values of data and total number of values.

As mean cannot be determined from the box plot, correct option is D

6 0
3 years ago
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Alice skates 2/5 mile in 1/5 hour. Elizabeth skates 2/3 mile in 2/9 hour. How far did elisabeth escape in in 1 hour?
sergeinik [125]

Question

Alice skates 2/5 mile in 1/5 hour. Elizabeth skates 2/3 mile in 2/9 hour. How far did elisabeth escape in in 1 hour?

Answer:

The Correct Answer is \frac{8}{9}

Complete the multiplication and the equation becomes

\frac{2}{9} +\frac{2}{3} = ?

The two fractions now have like denominators so you can add the numerators.

\frac{2+6}{9} = \frac{8}{9}

Therefore, The Answer Is \frac{8}{9}

Hope this helps!

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2 years ago
Explain how to estimate the length of the whale using compensation
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Write an equation for the proportional relationship. Let X represent a length measured in meters and y represent the same length
anzhelika [568]

Answer:

y=100x

Step-by-step explanation:

Given that x is the length measured in meters and

y represents the same length measured in centimeters.

Let us first have a look at the relationship between meters and centimeters units of length.

1 unit of length in meters = 100 units of length in centimeters

Therefore, it can be said that:

2 units of length in meters = 200 units of length in centimeters

3 units of length in meters = 300 units of length in centimeters

4 units of length in meters = 400 units of length in centimeters

OR

x units of length in meters = 100x units of length in centimeters

It is given that y is the length in centimeters.

Therefore, the <em>proportional equation</em> can be written as:

y=100x

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3 years ago
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