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
Anettt [7]
3 years ago
8

Consider U = {x|x is a negative real number}.

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

{x\ x e U and x has a negative square root} is an empty set.

Step-by-step explanation:

If x e U, x is a negative real number, and they don't have a square root (they don't have even roots). Their square roots are complex numbers, not real ones.

umka2103 [35]3 years ago
5 0

Answer:

Option B.

Step-by-step explanation:

Consider,

U=\{x|x\text{ is a negative real number }\}

We need to find the empty set from the given options.

In option A,

Let S_1=\{x|x\in U\text{ and }x \text{ has a negative cube root}\}

Since x has a negative cube root, it means x is a negative real number. So, this set is not an empty set.

In option B,

Let S_2=\{x|x\in U\text{ and }x \text{ has a negative square root}\}

Since x has a negative square root, it means x is a positive real number because square root of a negative number is an imaginary number. So, this set is an empty set.

In option C,

Let S_3=\{x|x\in U\text{ and }x \text{ is equal to the product of a positive number and -1}\}

Since x is equal to the product of a positive number and -1, it means x is a negative real number. So, this set is not an empty set.

In option D,

Let S_4=\{x|x\in U\text{ and }x \text{ is equal to the sum of one negative and one positive number}\}

Since x is equal to the sum of one negative and one positive number, it means x can be a negative real number or positive real number. So, this set is not an empty set.

Hence, option B is correct.

You might be interested in
Caculate and show answer
kipiarov [429]
(3 1/2+8 2/3)-3 5/6
= 1.898717
(10 1/4 - 5 5/8)-1 3/8
= -5.221721

(2 2/3+ 4 5/6)+3 3/8
= 9.795734

3 0
4 years ago
What is 10^-10 in decimal form?
S_A_V [24]
10^-10 in decimal form is 0.000000001. Because the exponent is negative, you move the decimal point ( decimal point is at the end of 0 of the base number 10) 10 place to the right of 10 and u get the answer above. I discarded the 0 later in the answer because now that you've moved the decimal, that 0 have no value. But when forming it in decimal you have to use that 0 or you will get a wrong answer, instead of eight 0's, you will end up with nine 0's.
6 0
3 years ago
A cutting tool fails due to flank wear while machining. It is observed that the tool life at a cutting speed of 160 m/min is 5 m
Ahat [919]

Answer:

The answer is:

30 minutes.

Step-by-step explanation:

We are given the following information:

at 160 m/min, tool life = 5 min.

at 120 m/min, tool life = 17 min.

This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:

speed = 160 - 120 = 40 m/min

tool life = 17 - 5 = 12 min.

Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.

40 m/min = 12 min

∴ 1 m/min = 12/40 min.

∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.

8 0
3 years ago
An article retails for 27.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altoget
-Dominant- [34]
Cost of the article = $27.50
Amount of city sales tax = (27.50 x 6%) = $1.65
Amount of excise tax = (27.50 x 8%) = $2.20
From my knowledge, we pay city sales tax and federal excise tax when we buy something, so the total cost would be $31.35
5 0
3 years ago
Read 2 more answers
Find the minimum value of
vekshin1

Step-by-step explanation:

C=y[20]

Cy=[20] Answer is Cy=[20]

3 0
3 years ago
Other questions:
  • The best answer will be marked brainliest!!!!!!!!!!!!!!!
    11·2 answers
  • Translate the algebraic expression shown below into a verbal expression
    5·2 answers
  • Graph the system of equations on your graph paper to answer the question. {y=−x+4y=x−2
    13·1 answer
  • evelyn drinks 8 glasses of water a day,which is56 glasses a week. How many glasses of water does she drink
    13·1 answer
  • The difference of two numbers is 20. their sum is 14. find the numbers. ( show step by step PLEASE )
    14·2 answers
  • Find the values of x and y that make k || j and
    14·2 answers
  • Factor this polynomial. -3x^2-5x-2
    6·1 answer
  • Then diameter for a circle is 12 m.
    10·1 answer
  • A woman 5 9/10
    7·1 answer
  • 100%
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!