Answer:
Yes.
Step-by-step explanation:
If a graph G doesn't have a circuit, we must have that
where 
is the number of edges of the graph and 
the number of vertices. However, in this case it holds that
Answer:
B. Real numbers
Step-by-step explanation:
Real numbers are all numbers, rational and irrational, that could be found on a plane. This includes all positive and negative numbers, and all decimals. So, this only excludes imaginary numbers. The rest of the options exclude irrational numbers and more.
Answer:
The distributive property of multiplication over addition: Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. ... The distributive property of multiplication over subtraction.
Step-by-step explanation:
Answer:
5050
Step-by-step explanation:
Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:
1 + 2 + 3 + 4 + … + 98 + 99 + 100
First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.
1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50
100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51
1 + 100 = 101
2 + 99 = 101
3 + 98 = 101
:
:
:
:
48 + 53 = 101
49 + 52 = 101
50 + 51 = 101
It was realized by him that final total will be fifty times of 101 means:
50(101) = 5050.
Based on this, Gauss has derived formula as:
The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:
S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence
As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.
Answer : 5050
