Answer:
The graphical representation of the intervals as well as the solutions of the operation on the number line can be found in the attachment.
A ∪ B = (0, 6) ∪ (12, 24)
C ∩ D = (0, 6) ∩ (14, 24)
Question:
To control the pandemic, people have been restricted from leaving their homes. This measure is called quarantine and is one of the main ways to decrease the number of infections. The exit restrictions that have been taken are the following: o
• A: In Guayaquil, the first week you could not leave home from 12:00 to 6:00.
• B: In the rest of the country, the first week you could not leave home from 8:00 p.m. to 6:00 a.m.
• C: In the whole country, from the third week onwards you cannot leave the house from 2:00 pm to 6:00 am.
• D: If the cases of contagion continue to increase potentially, a 24-hour restriction would be considered. Activities 1. Represent in the form of an interval and on the number line the 4 cases of restrictions posed.
2. Solve the interval corresponding to the following operations: A∪B; C∩D
Step-by-step explanation:
1. The time in Hours is represented on the number line.
A) Restrictions From 12.00pm until 6.00am
In hours: 0 to 6.00am; 12.00pm to 24.00pm
(0, 6); (12, 24)
B. Restriction from 8.00pm to 6.00am
In hours: 20:00pm to 24.00pm; 0 to 6:00 am
(0, 6); (20, 24)
C. Restriction from 2.00pm to 6.00am
In hours: 14:00pm to 24.00pm; 0 to 6:00am
(0, 6); (14, 24)
D. 24hr restrictions
In hours: 00:00am until 24:00pm
(0, 24)
2. From the graph,
A ∪ B = (0, 6) ∪ (12, 24)
C ∩ D = (0, 6) ∩ (14, 24)
Where '∪' mean the union of A and B. That is, we combine all the element of A and B together.
And '∩' mean the intersection of C and D. That is we pick the values common to C and D.
2x^2 + 8x = 0
This has TWO answers!
Thank you so much!!!
B) 6 years old
C) 8 years old
D) 10 years old
Answer:
The answer is B) 6 years
Step-by-step explanation:
First of all, build an equation. With the given problem, you can come up with:
s + c = 16
In which interprets that both their ages summed up are 16. Secondly,:
s = c + 4
After you will use the typical system of equations to solve. So, plug in the second equation to the first, where s will become c + 4, and the equation is now:
c + 4 + c = 16
And finally, solve for Charmaine's age.
2c + 4 = 16
-4 -4
-----------------
2c = 12
c = 6
Answer:6 years old
Step-by-step explanation:
B. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
C. 3 sides of the cube have a total length of 27 feet.
D. 3 of these cubes will have a total volume of 27 cubic feet.
we know that
The volume of a cube is equal to
where
s is the length side of the cube
In this problem we have
The volume is equal to
therefore
the answer is the option B
A cube with side lengths of 3 feet has a volume of 27 cubic feet