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
NARA [144]
3 years ago
14

What is the solution set of {xlx<-3}{xlx>5)?

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0
<h3>Answer: C. Empty set</h3>

Explanation:

The first set {x | x < -3} means we're talking about numbers smaller than -3. This includes -4, -5, -6, etc

The second set {x | x > 5} means we're talking about numbers larger than 5. So things like 6,7,8,...

Combining both at the same time, we want to find a number that is both smaller than -3 and larger than 5. This is impossible as no such number exists. You can pick one or the other, but not both.

There are no solutions. Since there are no solutions, the solution set is the empty set.

You might be interested in
Find the circumference of the taxicab circle with a radius of 9.
AnnZ [28]
C=2πr=2(9)π=18π......
☺☺☺☺
7 0
3 years ago
A car travels 32 miles for each gallon of gas.How many gallons of gas does it need to travel 192 miles
gladu [14]

Hi there! :)

<u>Answer:</u>

The car needs <u>6 gallons</u> of gas to travel 192 miles.


Step-by-step explanation:

In order to answer your question, you'll need to use the cross product method:

32 miles  → 1 gallon

192 miles → X gallons

<u>(1 × 192)</u> ÷ 32 = X gallons

<u>192 ÷ 32</u> = X gallons

<u>6</u> = X gallons


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
Help with this please. Thanks​
nata0808 [166]

9514 1404 393

Answer:

  3.0

Step-by-step explanation:

The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values

  x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3

  x ≈ 3.0

3 0
3 years ago
Use the given information to determine the exact trigonometric value.
hoa [83]

Answer:

A

Step-by-step explanation:

Use the main trigonometric equality:

\cos ^2\theta+\sin^2\theta=1.

Since \sin\theta=-\dfrac{1}{5}, you have that

\cos^2\theta=1-\left(-\dfrac{1}{5}\right)^2=1-\dfrac{1}{25}=\dfrac{24}{25}.

You know that \pi thus \cos \theta

and

\cos\theta=-\sqrt{\dfrac{24}{25}}=-\dfrac{2\sqrt{6}}{5}.

6 0
3 years ago
A garage door that is 16 feet wide and 7 feet high is being painted the door have three windows that will not be painted each re
Ber [7]

Answer:

103 ft

Step-by-step explanation: First, you find the area of the garage door as a whole (112 ft). Then, you find the area of each the three windows and add them together (their total area together is 9 ft). Lastly, you subtract this sum from the area of the whole door and the answer that you will get is 103 ft. Hope this helps :)

8 0
3 years ago
Other questions:
  • If two angles of a triangle are complementary, then the triangle must be
    6·1 answer
  • Determine the location of a point (x, y, z) that satisfies the given condition. xyz &gt; 0
    12·1 answer
  • What are all of the prime factors of 35?
    11·1 answer
  • Given L (-4,3) and M (-7,-2) what is the length of LM?
    11·1 answer
  • HELPP PLS ASAP I NEED HELP
    6·1 answer
  • Which function is equivalent to AX)=-7(x+9) 2-3​
    10·1 answer
  • Use the discriminant to describe the roots of each equation. Then select the best description.
    10·2 answers
  • The state of New Mexico is piloting a new program that the governor hopes will increase the proportion of people who regularly g
    11·1 answer
  • Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
    8·1 answer
  • calculate the weekly repayment on a $30,000 loan that is charged at a simple interest rate of 10.14% for 3 years
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!