Answer:
The inequality that you have is 
. You can use mathematical induction as follows:
Step-by-step explanation:
For 
we have:
Hence, we have that 
Now suppose that the inequality holds for 
and let's proof that the same holds for 
. In fact,
Where the last inequality holds by the induction hypothesis.Then,
Then, the inequality is True whenever 
.
Answer:
A. 31.4 in.
Step-by-step explanation:
Formula for the circumference:
C = dπ (d = 2r)
Therefore:
C = 10π
C = 10 · 3.14
C = 31.4 in.
Answer:
#1. Identity #2. 0 #3. No solution
Step-by-step explanation:
#1.
5y + 2 = (1/2)(10y+4)
5y + 2 = 5y + 2
This would be identity as the equation of the left and right are the same. This is not to be confused with no solution(explained below).
#2.
0.5b + 4 = 2(b+2)
0.5b + 4 = 2b + 4
0.5 b - 2b = 0
b = 0
#3.
-3x + 5 = -3x + 10
This equation has no solution because when you try to bring the -3x to one side, the x variable itself gets eliminated. So, how is it different from identity? Well in the first equation, it is true that when we try to bring the 5y one side it eliminates the y variable, however, that is also true for the constants(since if we try to bring the 2 to one side, it will be 2-2 which will equal 0, thus eliminating each other), but in this case, even if we remove the x, the constants will not equal 0, thus it will have no solution.
Answer:
75%
Step-by-step explanation:
You need to find the total number of votes first. Just add 13 and 39 which would equal 52.
Then divide the number of people in favour by the total number of voters and multiply by a 100 to find the percentage.
39 + 13 = 52
39/52 = 0.75
0.75 x 100 = 75.0
75%
Answer:
Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.
Step-by-step explanation:
