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Lesechka [4]
3 years ago
13

List the elements of the set, then indicate the cardinality of the set. HINT [See Example 2.] (Enter your answers as a comma-sep

arated list. Enter your answers from smallest to largest.) A = {k | k is a positive integer and 8 < k < 16}.
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Answer:

Elements of the set: 9,10,11,12,13,14,15

Cardinality of the set: 7

Step-by-step explanation:

Firstly the set describes that A contains the values of k which are positive integers only.

Secondly it limits the values of k to be between 8 and 16, exclusive of both upper and lower limits.

Therefore we list all positive integers between 8 and 16 i.e. 9,10,11,12,13,14,15

Finally, we count the numbers of elements in the set which is also known as cardinality of the set i.e. 7 for our given set.

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Anyone know what 5x-4=36 is? I’m looking to solve the (x).
k0ka [10]

Answer:

x=8

Step-by-step explanation:

add 4 to both sides

divide 40 by 5

then you are left with x=8

6 0
3 years ago
Read 2 more answers
1. Write an algebra equation for each purchase. I (Mickey) bought an ice cream treat and a bottle of water for $10. Pam purchase
Ne4ueva [31]

x+y=10

x+2y=14
x is common in both so u have to subtract the second one from 1st
x-x + y-2y = 10-14
-y = -4
y=4
which means bottle of water (y) = 4
and then substitute 4 in equation (x+y=10 or x+2y=10)
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5 0
3 years ago
the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a
statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by P = 2l + 2w. We are given the perimeter of the pool along with the width.

P = 486

w = l - 35

From here, all we have to do is plug back into the original formula:

486 = 2l + 2(l - 35)

Which can be further simplified as:

486 = 2l + 2l - 70

486 = 4l - 70

From here, all we have to do is add 70 to both sides of the equation and divide by four:

556 = 4l

139 = l

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

P = 2l + 2w

P = 2(139) + 2(104)

P = 278 + 208

P = 486

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0
3 years ago
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Another Quick Question, True or false: The Intersection of two rays creates two pairs of vertical angles and four pairs of suppl
andrey2020 [161]

Answer:

True

Step-by-step explanation:

3 0
3 years ago
I don't know what I am doing help please (C:
NeX [460]

Answer:

Step-by-step explanation:

The far right side of the triangle is 17 cm, which is the height.

The base would be 34 minus 17 because whole length of the rectangle is 34 and the triangle covers all but 17 of it.

So then you would take 1/2 of 17.

Then multiply it by 17 to get 160.5

7 0
3 years ago
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