Answer:
Recursive:
Explicit:
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
Explicit Rule:
The standard format for the explicit rule is:
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
Evaluate:
Hence, the 20th term is 225.
Answer:
The p-value for two-tailed test is 0.136
Step-by-step explanation:
Given;
one-tail test, p-value = 0.068,
In one-tailed test, we test for the possibility of a relationship in one direction and completely disregard the possibility of a relationship in the other direction.
One-tail test provides possibility of an outcome in one direction, while
two-tail test provides possibility of an outcome in two different directions.
Thus, the p-value for two-tailed test = 2 x 0.068 = 0.136
Answer:
Step-by-step explanation:
The angle formed by 
and the angle marked as 
are co-interior angles and therefore must be supplementary (add up to 180 degrees).
Therefore, we have:
Answer:
2 real roots
Step-by-step explanation:
If the discriminant is any positive number, that means the quadratic will have 2 real roots, or solutions.
Since the discriminant, 36, is a positive number, this will apply.
So, if the discriminant is 36, there will be 2 real roots.
Answer: do 150ml*15 tubes is 2,250 ml
2,250/1000 is 2.25L (1L =1000ml is multiply by 1000)
