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
lawyer [7]
3 years ago
8

Union and intersection of intervals​

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

Step-by-step explanation:

Union and intersection of intervals​

We are given the following intervals:

\mathbf{E}=\{x\mid x

\mathbf{F}=\{x\mid x \ge 9\}

We need to find the union and the intersection of the intervals.

Both intervals are represented in the number line as shown in the figure below.

The union of intervals is the set of elements that belong to any of the intervals.

Since both intervals have no common area:

E\cup F=(-\infty,1)\cup [9,+\infty)

The intersection of intervals is the set of elements that belong to all the intervals.

As pointed above, there is no common area, thus the intersection is empty

E\cap F=\o

You might be interested in
In a large marathon, runners start the race in stages. Leanna started in group E and ran at a rate of 4.8 miles per hour. During
grandymaker [24]

Answer: Leanna ran 39.96 miles before she was passed by Irina.

Step-by-step explanation:

When Irina would pass Leanna, they would have ran the same distance.

Let t represent the time that Leanna ran before she was passed by Irina.

Distance = speed × time

Leanna started in group E and ran at a rate of 4.8 miles per hour. The distance ran by Leanna before she was passed by Irina is

4.8 × t = 4.8t

During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes(20/60 = 0.333 hour) after Leanna started. The time spent by Irina in running this distance is

t - 0.333

Distance ran by Irina is

5(t - 0.333) = 5t - 1.665

Since they ran the same distance, then

4.8t = 5t - 1.665

5t - 4.8t = 1.665

0.2t = 1.665

t = 1.665/0.2 = 8.325 hours

Therefore, the distance that Leanna ran before she was passed by Irina is

4.8 × 8.325 = 39.96 miles

6 0
3 years ago
Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi.
Brrunno [24]
The surface area of the sphere:
A = 4 r² π 
1 ) r = 60 m;
A = 4 · 60² π = 4 · 3600 π = 14,400 π m²
2 ) Diameter of 14 cm:
r = 14 cm / 2 = 7 cm
A = 4 · 7² π = 4 · 49 π = 196 π cm²
5 0
3 years ago
Which pair of numbers has a product of -24 and a sum of 10?
muminat

Answer:

-2;12

Step-by-step explanation:

it's too easy!

6 0
3 years ago
Read 2 more answers
Please help with this!!
Harrizon [31]

Answer:

  1 |   2 |     3 |    4  |    5 |     6 |     7 |    8 |     9 |    10 |     11 |    12

68 | 86 | 104 | 122 | 140 | 158 | 176 | 194 | 212 | 230 | 248 | 268

Step-by-step explanation:

Ok so, the top part of the table is probably going to be the number of months. The cost of the video streaming is linear and follows the equation

cost = 18*cost per month + initial cost

or

cost = 18(number of months) + 50

Using  the table which they gave, enter the number of months at the top, and enter the cost at the bottom. I've gaven the answer already. The months go to welve, and the answer goes into the bottom.

Comment on my answer if it doesn't make sense.

Thank You!

8 0
3 years ago
What is the value of -32+(-4+7)(2)?<br> -28<br> -3<br> 3<br> 15
I am Lyosha [343]

Answer:

-26

Step-by-step explanation:

  1. -32+3×2
  2. -32+6
  3. -26

By using BODMAS, any of the answers given is correct!

6 0
3 years ago
Read 2 more answers
Other questions:
  • Is 3.12 repeating a irrational or a rational
    14·2 answers
  • Kevin has $1,427 in a savings account his brother Haley has saved in the mouth with a 4 that is 1/10 the value of the 4 in Kevin
    12·2 answers
  • What is the relationship between fractions and decimals
    7·1 answer
  • Can someone please give me the answers HELP
    5·1 answer
  • Which of the following represents the graph of the equation y = 1/2x?
    11·1 answer
  • For which of the following graphs is y a function of x
    14·2 answers
  • turin the numbers 5x-4 6x-23 -2x+33 into a expression and them simplify the expression. PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!! ITS WO
    9·1 answer
  • The Ridgeport school district collected data about class
    14·1 answer
  • Read the story. Barry is on the school tennis team. At practice yesterday, he did 3 forehand strokes for every 2 backhand stroke
    8·1 answer
  • marvin is 30 years old .selorm is half as old, as marvin philip is 10 years older, than selorm .how old is philip
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!