Answer:
Step-by-step explanation:
As the given algebraic expression is
In order to solve the expression for x, we have to
Step 1: Subtract 1 from both sides
Step 2: Divide both sides by 3.
Therefore,
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Answer:
9
Step-by-step explanation:
let the number
=
x
then 4 times the number
=
4
x
and 4 times the number increased by 15
=
4
x
+
15
also 6 times the number
=
6
x
and 3 less than 6 times the number
=
6
x
−
3
equating the two expressions gives the equation
4
x
+
15
=
6
x
−
3
←
solve for x
subtract 6x from both sides
4
x
−
6
x
+
15
=
6
x
−
6
x
−
3
⇒
−
2
x
+
15
=
−
3
subtract 15 from both sides
−
2
x
+
15
−
15
=
−
3
−
15
⇒
−
2
x
=
−
18
divide both sides by
−
2
−
2
x
−
2
=
−
18
−
2
⇒
x
=
9
As a check
(
4
×
9
)
+
15
=
36
+
15
=
51
(
6
×
9
)
−
3
=
54
−
3
=
51
⇒
the number is 9
Answer:
All real numbers
Step-by-step explanation:
There is no real number that makes the expression undefined, therefore the domain would be all real numbers.
Answer:
If we arrange the talks from the lowest starting time to the highest ending time we get total of 11 talks.
using algorithm 7 we get answer (1) - (3) - (6) - (9) the largest number of talks scheduled.
Step-by-step explanation:
arranging the talks from lowest starting time to the highest ending time.
thus,
- 9:00 a.m. and 9:45 a.m.
- 9:30 a.m. and 10:00 a.m.
- 9:50 a.m. and 10:15 a.m.
- 10:00 a.m. and 10:30 a.m.
- 10:10 a.m. and 10:25 a.m.
- 10:30 a.m. and 10:55 a.m.
- 10:15 a.m. and 10:45 a.m.
- 10:30 a.m. and 11:00 a.m.
- 10:45 a.m. and 11:30 a.m.
- 10:55 a.m. and 11:25 a.m.
- 11:00 a.m. and 11:15 a.m.
we start from the earliest time as
9:00 a.m. and 9:45 a.m which is (1).
After the talk is finished we pick the nearest time for another talk which starts at
9:50 a.m. and 10:15 a.m which is (3).
After this talk we again pick the nearest time for another talk which becomes
10:30 a.m. and 10:55 a.m which is (6).
and lastly
10:45 a.m. and 11:30 a.m which is (9).
Note: we didn't choose other times because we cannot talk at 2 or 3 places at the same time. so we pick another when one talk is finished.
thus the answer is (1) - (3) - (6) - (9) as the largest number of talks scheduled.
Answer:
1.
- Heat capacity is defined as the total amount of heat required to increase the temperature of a substance in 1°C.
- Specific heat is defined as the total amount of heat required to increase the temperature of a substance in 1°C per unit mass. Hence this property depends of the mass of the substance.
- Latent heat is the amount of energy absorbed or released by a substance in a phase change (physical change) without a change in temperature.
2.
- Degrees of freedom is the number of parameters that define the configuration of a system. For example, in a system with we want to know about the dynamic in the three dimension x,y,z and also about the rotation around a fixed axe we have four degrees of freedom.
- Equipartition theorem relates the temperature of a system with the average energy of the system (this average is taken for those degrees of freedom that appears quadratically).
I hope this is useful for you
regards
