Suppose

is the number of possible combinations for a suitcase with a lock consisting of

wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for

wheels, or

is given recursively by the formula

starting with

(because you can start the combination with any one of the ten available digits 0 through 9).
For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).
By substitution, you have

This means a lock with 55 wheels will have

possible combinations (a number with 53 digits).
There are 12 face cards in a deck, and one you draw the first face card there will be 11 left so:
(12/52)*(11/51)=132/2652=11/221
Answer:
20/3 or 6.67 or 6
(any of these are correct)
Step-by-step explanation:
Volume of triangular pyramid formula is V = 1/3 * base area * height
V = 1/3 * 5 * 4 = 20/3
20/3 or 6.67 or 6 
Answer:
inverse operations is with oppisite operations that undo each other.
open circle is circle not filled in to show that the point is a border value and is not included as part of the solution set.
like terms is terms that have the same varible raised to the same exponent.
ordered pair is a group of two numbers written in the form (x, y) where the x value represents a horizontal position.
the last one numeric expressions is an expression involving only constants
Step-by-step explanation:
Answer:
1000
Step-by-step explanation: