Outside a home, there is a 10-key keypad with the letters A, B, C, D, E, F, G, H, I, and J that can be used to open the garage i
Assoli18 [71]
Answer:
3,628,800 (aka "10!")
Step-by-step explanation:
The first letter in the code can be 10 possible letters.
Since every letter can only be used once, the second letter can only be 9 possible letters.
E.G.: If the first letter is A, the second letter is B-J.
The third letter would be 8 possible letters, than the fourth would be 7, etc.
In math form, figuring out the possible combinations would be written out as so:
10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
An easier way to write this out would be using "10!", which stands for "10 Factorial"
The result of the above equals 3,628,800.
Answer:
(2x3 − 3x − 10) ÷ (x − 2) = ( x-2)
Step-by-step explanation:
Answer:
C =85
Step-by-step explanation:
n=180-133+180-142=47+38=85
The number of rows in the arena is 26
<h3>How to determine the number of rows?</h3>
The hockey arena illustrates an arithmetic sequence, and it has the following parameters:
- First term, a = 220
- Sum of terms, Sn = 10920
- Common difference, d = 16
The number of rows (i.e. the number of terms) is calculated using:
So,we have:
Evaluate the terms and factors
Evaluate the like terms
21840 = n(424+ 16n)
Expand
21840 = 424n + 16n^2
Rewrite as:
16n^2 + 424n - 21840 = 0
Using a graphical tool, we have:
n = 26
Hence, the number of rows in the arena is 26
Read more about arithmetic sequence at:
brainly.com/question/6561461
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