Denote the set below by set-builder notation, using x as the variable.
{1,3,5, ..., 67}
Choose the correct answer below.
O A. {x|x is even natural numbers less than 68}
B. {x|x is an odd natural number less than 68}
C. {x|x is an odd natural number between 1 and 67}
D. {x|x is an odd natural number greater than 1}

Answers

Answer 1

Answer:

C. {x|x is an odd natural number between 1 and 67}

Step-by-step explanation:

B and C is also correct if the natural number is defined to be started with 1: positive integer,

but if it's defined to be non-negative real number then only C

Answer 2

Set-builder notation of the given set is  {[tex]x | x[/tex] is an odd natural number less than [tex]68[/tex]}.

What is set?

" Set is defined as the collection of the given object with certain properties."

According to the question,

Given set,

[tex]\{1,3,5, ..., 67\}[/tex]

[tex]'x'[/tex] represents the variable

A. {[tex]x | x[/tex] is an even natural numbers less than [tex]68[/tex]}.

Even numbers are multiple of 2, given set does not represents set of even numbers.

Option(A) is not the correct answer.

B. { [tex]x | x[/tex] is an odd natural number less than [tex]68[/tex]}.

[tex]\{1,3,5, ..., 67\}[/tex] represents set of odd numbers , all numbers are less than 68.

Hence, Option (B) is the correct answer.

C. {[tex]x |x[/tex] is an odd natural number between [tex]1[/tex] and [tex]67[/tex]} means [tex]\{ 3, 5, 7,...., 65\}[/tex]

Here between  [tex]1[/tex] and [tex]67[/tex] excludes  [tex]1[/tex] and [tex]67[/tex]. But in the given set  [tex]1[/tex] and [tex]67[/tex]

are included.

Option (C) is not the correct answer.

D.  {[tex]x |x[/tex] is an odd natural number greater than [tex]1[/tex]} means [tex]\{ 1, 3, 5,...........\}[/tex]

Here this set goes till infinity.

Option (D) is not the correct answer.

Hence, Option (B) is the correct answer.

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Related Questions

Match each fraction, decimal, or percent with an equivalent fraction, decimal, or percent


It's more different than other people, for some people 1/2 equal 7.5. but mine shows 1/2 = 50% or 2/ 25 or 72% or 0.34? so I know mine doesn't add up, and this is on docs.

Answers

Answer:  2/25 as a percent is 8% and as a decimal is 0.08 and what is your question I don't really understand?

Step-by-step explanation:

A math textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have for every page of practice problems

Answers

Answer:

The answer is 3

Step-by-step explanation:

Here's my explanation. So all you have to do is divide 6 by 2 and we ALL KNOW FOR AFACT what 6/2 right? And its 3 so there ya go!!!

Find the ratio created when BA is partitioned by C.
Write your ratio with a, : and do not include spaces.

Answers

Answer:

[tex]AC:CB = 3:2[/tex]

Step-by-step explanation:

Given

The attached

Required

Find the ratio when partitioned by C

When BA is partitioned, the segments are: AC and CB

From the attachment:

[tex]AC = 3[/tex]

[tex]CB = 2[/tex]

So, the ratio is:

[tex]Ratio = AC : CB[/tex]

[tex]AC:CB = 3:2[/tex]

ill mark brainlist plss help

Answers

Answer:

488 cm² (Option B)

Step-by-step explanation:

The figure consists of a rectangle & a right angled triangle. So,

Area of the complex figure = Area of rectangle + Area of the triangle

1) Length of the rectangle = 22 cm

Width of the rectangle = 17 cm

Area of rectangle = 22 × 17 = 374 cm²

2) Length of perpendicular of the triangle = 22 - 10 = 12 cm

Length of base of triangle = 19 cm

Area of a triangle = [tex]\frac{1}{2} \times 12 \times 19 = 114 cm^2[/tex]

∴ AREA OF THE FIGURE = 378 + 114 = 488 cm²

The density of the American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a circumference of 4.5 meters and the height of the trunk is 8 meters, what is the approximate number of kilograms of the trunk.

Answers

Here I hope this helps you out

Expand and simplify 3(3x+3)-3x(4x+2)

Answers

Answer:

−12[tex]x^{2}[/tex]+3x+9

Step-by-step explanation:

=(3)(3x)+(3)(3)+−12x2+−6x

=9x+9+−12x2+−6x

Combine Like Terms:

=9x+9+−12x2+−6x

=(−12x2)+(9x+−6x)+(9)

=−12[tex]x^{2}[/tex]+3x+9

To do this one, distribute first.
9x+9-12x^2-6x
Now find the like terms and add/subtract
3x+9-12x^2
And to put this in order:
-12x^2+3x+9

Exam
1. Bob bought 6 books at b dollars each
and 2 notebooks at n dollars each.
Write an expression for this situation.

Answers

Answer:

6(b) + 2

Step-by-step explanation:

6b+2n would be the expression

Raj plotted point L in the coordinate plane below.

He says that the plotted point is (4,-1.5). What is Raj's error?​

Answers

Answer:

(c) The x and y coordinates are switched

Step-by-step explanation:

Given

[tex]Point = (4,-1.5)[/tex]

See attachment

Required

Determine the error in the plot

The plot on the attached graph is represented with: [tex](-1.5, 4)[/tex]

This implies that Raj plotted the x coordinate on the y coordinate and vice versa.

Hence: (c) is true

Answer:

The answer is C. or The x- and y-coordinates are switched.

Step-by-step explanation:

I got this right on edge 2020!!!

Please give brainliest!!!

hope this helps!!!

Barry has $55. He used 2/5 of his money to buy a new pair of running shoes. How much did Barry spend on his new shoes?
(Please hurry this is a test!)

Answers

Answer:

22, also nice woomy pfp!!!!

let y = 2x + 9 what is y when x = 5​

Answers

Answer:

19

Step-by-step explanation:

y = 2(5) + 9

Mark works at the mall 3 hours on Friday and 5 hours on Saturday. He gets a
weekly allowance of $25 from his parent. If he made $85 this weekend, how
much does he get paid an hour at his job?

Answers

Answer:

$7.50

Step-by-step explanation:

3 hours + 5 hours = 8 hours

8 hours = $85 (total) - $25 (allowance)

8 hours = $60 (money earned from work)

1 hour = $60 ÷ 8 (hours he worked)

1 hour = $7.50

Need help with 8! Please show your work!!!!! Appreciate it! Have a nice day

Answers

4 bracelets per pack. Divide the number of bracelets made by the amount of packages needed in each class. All three have the result of 4

Could anyone explain this question in detail?

Answers

Answer:

h and k are simply variables that stand in for the x and y of a point. Math books could have easily have used x1, x2 y1 y2, etc, but h and k is the convention.

anyway, this is a guess n check question. Substitute the x value of the point for h, and y value for k, and whichever one gives you a true equation is the right one.

Answer:

Step-by-step explanation:

y = a(x-h)²+k is the “vertex-form equation” for a vertical parabola with vertex (h,k).

Since a>0, the parabola opens upwards. (If a<0, it opens downwards. If a=0, it is not a parabola at all.)

The parabola y = a(x-h)²+2k is the same shape as the first equation, but it is shifted vertically by k units.

Since (2,4) is a point on the first parabola, (2,4+k) is a point on the second parabola.

63 students choose to attend one of three after school activities: football, tennis or running.
There are 38 boys.
20 students choose football, of which 19 are girls.
19 students choose tennis.
5 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.

Answers

8/21

20 students choose football, 19 choose tennis, and it is out of 63 total.

Therefore, 63-19-20 is the number of runners.

63-19-20=24

The probability is 24/63

Simplified is 8/21!

The data shows the number of miles Troy ran last week. 12, 5, 8, 4, 10, 4, 6 What is the median number of miles Troy ran?​

Answers

Answer:6

Step-by-step explanation:

4,4,5,6,8,10,12

You start marking out 4&12,4&10,5&8 which leaves you with 6

Your friend spends 3+4x minutes lifting weights and 9x+5 running a treadmill. Write a polynomial that represents how much time is spent on running on the treadmill than lifting weights. Answer quick!!!

Answers

Answer:

[tex]Polynomial = 5x+ 2[/tex]

Step-by-step explanation:

Given

[tex]Weights = 3 + 4x[/tex]

[tex]Treadmill = 9x + 5[/tex]

Required

Polynomial that represents time spent running treadmill than weight lifting

To do this, we simply subtract weights from treadmill

i.e.

[tex]Polynomial = Treadmill - Weights[/tex]

[tex]Polynomial = 9x + 5 - (3 + 4x)[/tex]

[tex]Polynomial = 9x + 5 - 3 - 4x[/tex]

[tex]Polynomial = 9x - 4x+ 5 - 3[/tex]

[tex]Polynomial = 5x+ 2[/tex]

Bailey has saved 54% of the money he needs to buy a new
skateboard that costs $172.00. How much more money
does he need to buy the skateboard?

Answers

Answer:

$79.12

Step-by-step explanation:

0.54 x 172 = 92.88

172 - 92.88 = 79.12

He needs $79.12 more.

Bailey has saved 54% of the money he needs to buy a new

skateboard he needs $79.12 more.

We have given that,

Bailey has saved 54% of the money he needs to buy a new

a skateboard that costs $172.00.

We have to determine how much more money he needs to buy the skateboard.

What is the savings?

Saving is income not spent or deferred consumption. Methods of saving include putting money aside in, for example, a deposit account, a pension account, an investment fund, or cash. Saving also involves reducing expenditures, such as recurring costs.

0.54 x 172 = 92.88

172 - 92.88 = 79.12

He needs $79.12 more

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Vertical angles are congruent.
Find the measure of angle x.
X
o
38°
x = [?]
Ente

Answers

Answer:

We can solve this problem by:-

Here,

X=38°(Being vertically opposite angle)

So, X=38°

Vertical angles are congruent

The value of x = 38 degrees.

Given :

We are given with two lines that intersects .

we need to find out the vertical angle for the given angle.

When two lines intersects then the opposite angles are equal .

Opposite angles we call it as vertical angles .

Vertical angles are equal when two line intersects.

From the given diagram , vertical angles x  and 38  are congruent .

so [tex]x=38[/tex]

The value of x is 38 degrees.

Learn  more :

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2a2 + -1 2-a) +36 ; a=5, b=0

Answers

Answer:

the answer is 39

Step-by-step explanation:

hope that helps

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

2a2 + (-1×2-a) +36

= (2×5×2) + (-1×2-5) + 36

= 20 + (-7) + 36

= 56 + (-7)

= 56 - 7

= 49

Hope it helps you,

Mark me brainliest pls...

Follow me!!!! ;)

I NEED HELP NOW PLZ!!

Answers

Answer:

D last one

Step-by-step explanation:

(a) Find 6% of 350 (b) Find 25% 80 (c) Find 15% of 35.00

Answers

% is read as percent, and cent means 100.

In this case 6% is 6 out of 100 or 6/100.

so 6%*350=350*6/100=21

The second case its 25%*80=25/100*80=20

The third case, its 35*15/100=5.25

Find the distance between the two points.
(4,2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
(-1,-3)

Answers

Answer:

50

Step-by-step explanation:

[tex]\boxed{distance \: between \: 2 \: points = \sqrt{(y1 - y2)^{2} + (x1 - x2) {}^{2} }}[/tex]

Distance between the 2 points

[tex] = \sqrt{( - 3 - 2) {}^{2} +( - 1 - 4) {}^{2} } [/tex]

[tex] = \sqrt{( - 5)^{2} + ( - 5)^{2} } [/tex]

[tex] = \sqrt{25 + 25} [/tex]

[tex] = \sqrt{50} [/tex]

Thus, the number that goes beneath the radical symbol is 50.

Please help logarithms!

Answers

Given:

[tex]\log_34\approx 1.262[/tex]

[tex]\log_37\approx 1.771[/tex]

To find:

The value of [tex]\log_3\left(\dfrac{4}{49}\right)[/tex].

Solution:

We have,

[tex]\log_34\approx 1.262[/tex]

[tex]\log_37\approx 1.771[/tex]

Using properties of log, we get

[tex]\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_349[/tex]      [tex]\left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right][/tex]

[tex]\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_37^2[/tex]      

[tex]\log_3\left(\dfrac{4}{49}\right)=\log_34-2\log_37[/tex]          [tex][\log x^n=n\log x][/tex]

Substitute [tex]\log_34\approx 1.262[/tex] and [tex]\log_37\approx 1.771[/tex].

[tex]\log_3\left(\dfrac{4}{49}\right)=1.262-2(1.771)[/tex]

[tex]\log_3\left(\dfrac{4}{49}\right)=1.262-3.542[/tex]

[tex]\log_3\left(\dfrac{4}{49}\right)=-2.28[/tex]

Therefore, the value of [tex]\log_3\left(\dfrac{4}{49}\right)[/tex] is [tex]-2.28[/tex].

que es mayor? -6, +5, +1, -2, 0, -8, +7, -4​

Answers

+7 es mayor

7 is the highest

help due today find the surface area

Answers

Answer:

The total surface area is 178.08

Answer:

The surface area of this figure is 178.08yd²

change 2y-3+18 to the distributive property

Answers

2(y-3) +18

That’s what it looks like

PLS HELP! IT’S DUE TODAY!

Answers

Answer:

4th choice

Step-by-step explanation:

I did process of elimination.

Obviously has to be greater than or equal to 500, since that is the minimum. 12 student clubs multiplied by x, which is probably the amount of many each club makes, plus the amount donated by faculty, so it has to be 12x + 100.

I can't seem to get this problem factored

40y squared + 44y+12

Answers

Answer:

4(2y+1)(5y+3)

Step-by-step explanation:

........

look at the patters . determine if each statement is true or false. 0,9,18,27,36,45.

Answers

What are the statements?

The graphs of two linear equations are shown.
y = 3x – 3
y= 2x - 8
Which is the solution of this system of equations?

Answers

y = -18
x = -5

(y = 3x -3)2
(y = 2x-8)-3

2y = 6x-6
-3y= -6x+24
———————
-y = 18
y = -18

-18 = 3x - 3
-15 = 3x
-5 = x
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