All of the numbers are the mode, so it is
1982, 1988, 1989, 1994, 1995, 2005
X - y = 9
x + 2y = 27
You can subtract the top equation from the bottom
3y = 18
y = 6
x = 15
The two numbers are 15 and 6
Answer:
n=4
Step-by-step explanation:
Given equation: \[\frac{1}{n-4}-\frac{2}{n}=\frac{3}{4-n}\]
Simplifying the Left Hand Side of the equation by taking the LCM of the denominator terms:
\[\frac{n}{n*(n-4)}-\frac{2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{n - 2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{n - 2n + 8}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{8 - n}{n*(n-4)}=\frac{3}{4-n}\]
=> \[(8-n)*(4-n) =n*(n-4)*3\]
=> \[n-8 =3n\]
=> \[2n =8\]
=> n = 4
Hello!
To find our answer, we just use a scientific calculator (you cannot calculate it by hand).
tan42≈0.9
Therefore, our answer is about 0.9.
I hope this helps!
Answer:
<em>T5 = 512</em>
Step-by-step explanation:
Given the sequence
2,8, 32, 128,...
The sequence is a geometric progression
nth term of a geometric progression is expressed as:
Tn = ar^n-1
a is the first term = 2
n is the number of terms = 5 (next term is the 5th term)
r is the common ratio = 8/2 = 32/8 = 4
Substitute and get the fifth term
T5 = 2(4)^5-1
T5 = 2(4)^4
T5 = 2*256
<em>T5 = 512</em>
<em>Hence the next term is 512</em>
