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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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A picture is x+20 cm in width and 2x-10 cm in length. The frame is a
Jobisdone [24]

Answer:

A = 1100cm^2

Step by step Explanation:

given the dimensions of width and length of the picture are x+20 by 2x-10 and the frame is a constant 5 cm wider from the edge of the picture to the frame, than the area of the frame is defined as (x+30)(2x)-(x+20)(2x-10) = 30x+200.

If the width is equal to the length which I assume is true if the width is constant.

than x+30=2x, which means x = 30.

if this is true than 30(30)+200 = 1100cm^2

8 0
3 years ago
. A theater has 40 rows of seats, where the first row has 27 seats and each subsequent row has
MAXImum [283]
<h3><em>Answer:</em></h3><h3><em></em></h3><h3><em>number of seats in theater = 1035</em></h3><h3><em></em></h3><h3><em>Step-by-step explanation:</em></h3><h3><em></em></h3><h3><em>Given in question as</em></h3><h3><em></em></h3><h3><em>Total number of rows of seat = 30</em></h3><h3><em></em></h3><h3><em>first row contain seat = 20</em></h3><h3><em></em></h3><h3><em>second row contain seat = 21 .. and so on</em></h3><h3><em></em></h3><h3><em>This is in arithmetic progression as 20 , 21 , 22 , 23 ...... so on</em></h3><h3><em></em></h3><h3><em>Then as number of terms N = 30 and first terms = a = 20</em></h3><h3><em></em></h3><h3><em>so we have to find Tn th terms</em></h3><h3><em></em></h3><h3><em>So, Tn th terms = first term + ( N -1 ) × d               d= common difference i.e 1</em></h3><h3><em></em></h3><h3><em>     Tn th terms = 20 + (30 - 1) × 1</em></h3><h3><em></em></h3><h3><em>Thus, Tn th terms = 49</em></h3><h3><em></em></h3><h3><em>i.e The number of seats in 30th row = 49</em></h3><h3><em></em></h3><h3><em>Now again Total number of seats in theater</em></h3><h3><em></em></h3><h3><em>sum of Nth terms = </em></h3><h3><em></em></h3><h3><em>so                         = </em></h3><h3><em></em></h3><h3><em>                            = 15 × 69 = 1035</em></h3><h3><em></em></h3><h3><em>Hence, Total number of seats in theater = 1035      Answer</em></h3>
6 0
3 years ago
Which of the following is the correct notation of the complex number?
Alisiya [41]

Answer:

-84 + 10i

Step-by-step explanation:

Standard Complex Form: a + bi

Step 1: Evaluate

√-100 = √-1 x √100 = i x 10 = 10i

-84 = -84

Step 2: Combine

10i - 84

Step 3: Rearrange

-84 + 10i

8 0
3 years ago
Read 2 more answers
Figure TUVS is a parallelogram.
poizon [28]

Angles T and V of the parallelogram are equal to 91°.

Calculating the Value of x

In the parallelogram TUVS, adjacent angles U and V are given as,

U = 4x+9

V = 6x-29

Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.

4x+9 + 6x-29 = 180

10x - 20 =180

10x = 200

x = 20

Calculating the Angles of the Parallelogram

∠U = 4x + 9

∠U = 4(20) + 9

∠U = 80 + 9

∠U = 89°

∠V = 6x - 29

∠V = 6(20) - 29

∠V = 120 - 29

∠V = 91°

According to the properties of a parallelogram, opposite angles are of equal measure.

∴ ∠T = ∠V and ∠S = ∠U

⇒ ∠T = 91° and ∠S = 89°

Learn more about a parallelogram here:

brainly.com/question/1563728

#SPJ1

5 0
2 years ago
PLSS HELP ASAP IF YOU TURLY KNOW THIS
sladkih [1.3K]

Answer:

10,000 :)

Step-by-step explanation:

5,089 rounded =5,000

4,722 rounded= 5,000

=  10,000

3 0
2 years ago
Read 2 more answers
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