1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
romanna [79]
3 years ago
8

A set X consists of all real numbers greater than or equal to 1. Use set-builder notation to define X.

Mathematics
2 answers:
vitfil [10]3 years ago
8 0

Theory:

The standard form of set-builder notation is <span>
 
{ x | “x satisfies a condition” } </span>

This set-builder notation can be read as “the set of all x such that x (satisfies the condition)”.

For example, { x | x > 0 }  is equivalent to “the set of all x such that x is greater than 0”.

 

Solution:

In the problem, there are 2 conditions that must be satisfied:

<span>1st: x must be a real number</span>

In the notation, this is written as “x ε R”. Where ε means that x is “a member of” and R means “Real number”

 

<span>2nd: x is greater than or equal to 1</span>

This is written as “x ≥ 1”

 

Answer:

Combining the 2 conditions into the set-builder notation:

<span>X = { x | x ε R and x ≥ 1 } </span>
saw5 [17]3 years ago
5 0

Answer: X=\{x\ |\ x\ \epsilon\mathbb{R}\text{ and }x\geq1\}

Step-by-step explanation:

A set builder notation is used to build or describe the set.

In the given question, there are two conditions on elements of set X that must be satisfied i.e.

For all x\ \epsilon X x belongs to the set of real numbers i.e. \ x\ \epsilon\ \mathbb{R}.

For all x\ \epsilon X x

X=\{x\ |\ x\ \epsilon\mathbb{R}\text{ and }x\geq1\}

You might be interested in
What is the factor tree of 30
hjlf

Answer:

is it 2 x 3 x 5

Step-by-step explanation:

if wrong pls forgive me

mark me brainliest

5 0
2 years ago
Read 2 more answers
An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = \pi r^{2} \frac{h}{3}

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm

We will now find the volume of the cone.

Volume of cone  \pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}

We know the density of ice is 0.93 grams per 1cm^{3}

1cm^{3} =0.93g\\\frac{168175\pi }{24}  cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g(Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = \pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}

Volume of cone being melted = New Volume - Original volume

= \frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0
2 years ago
A student’s first step to solving the equation 5(x – 2) = 10 was to simplify it to 5x – 2 = 10. Did the student make a mistake?
Dafna11 [192]
Yes, he forgot to distribute all the terms. 

3 0
3 years ago
Read 2 more answers
Help me find my answer
Sergeu [11.5K]

Step-by-step explanation:

3 cookies= 240 cal

∴ 1 cookie= 240÷3 cal

∴ 5 cookies= (240÷3) × 5

⇒ 240÷3= 80

⇒ 80 × 5= 400

[ans] 400 cal

4 0
3 years ago
You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo o
iris [78.8K]

Answer: i think it is  3456

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • If you know that the tan of theta =0.707, which quadrants could theta be found in
    7·1 answer
  • Please help <br> show all work <br> thank you
    13·1 answer
  • A cellular phone company charges 17% tax on each bill. Which is a correct way of calculating the bill without tax, if the total
    5·1 answer
  • Factor each expression: 5a-25
    11·2 answers
  • IS DUE PLZ HELP Mabel ate break fast at a restaurant. The bil lcame to $38. If she left an 18% tip, how much was the tip?
    6·1 answer
  • Help me with this please :)))))
    15·1 answer
  • Given square WXYZ. If ZY = 20, find WV. Write your response in the form WV=_____.
    7·1 answer
  • What is the answer to the problem: 1.234x139.893<br> and 674.983x278.475
    13·2 answers
  • Solve this please<br><br> 35 cm = [?] m
    9·2 answers
  • What is the slope of the line?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!