Answer:
(goh) (0) = 4
Step-by-step explanation:
Given that,
g(x) = 2x
h(x) = x² + 4
We need to find the value of (goh) (0).
Firstly we find (goh),
(goh) = g(h(x))
=g(x²+4)
(goh) (0) = 0²+4
=4
Hence, the required answer is 4.
Answer:

Explanation:
The
th term of an arithmetic sequence is explicitly defined as
where
is the first term of the sequence and
is the the common difference.
From the given first five terms of the sequence we can see that the first term is
so
.
The common difference,
, can be calculated by
so we'll find the common difference of the given sequence by letting 
.
Now let's plug everything we know.



Answer:
All of the above
Step-by-step explanation:
10, 100, 1000, 100000 all are rational numbers because you can write them as:
10/1 , 100/1, 1000/1, 100000/1
Answer:
9 inches
Step-by-step explanation:
Do the question algebraically, represented by this equation:
let x be the shorter piece
x + (x + 8) = 26 (longer piece is 8 units longer)
Remove brackets
x + x + 8 = 26 Combine like terms
2x + 8 = 26 Start isolating "x"
2x + 8 - 8 = 26 - 8 Subtract 8 from both sides
2x = 18
2x/2 = 18/2 Divide both sides by 2
x = 9 shorter piece
The shorter piece would be 9 inches.
If you needed the longer piece too:
longer piece = x + 8
x + 8
= 9 + 8
= 17
The longer piece would be 17 inches.
Check your answer:
Longer + Shorter = 26 Substitute the lengths
17 + 9 = 26 Add
26 = 26 same number
LS = RS left side equals right side
The answer is correct.
We have been given that The boston celtics have won 16 nba championships over approximately 50 years. Therefore, it can be concluded that in any given year the probability of celtics winning the title will be p = 16/50 = 0.32
For Celtics to win eight straight championships in 1959, we will be required to multiply the probability of winning championship in one year to itself 8 times.
Therefore, the required probability is:

Therefore, the required probability is almost 0.00011.