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alina1380 [7]
3 years ago
9

Skylar is arranging 8 objects on a shelf. How many different ways can she arrange them? How can I figure this out using the form

ula for combinations?
Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Personally, I never bothered learning the formula. 
When I run into a problem like this, I look at it this way: 
(I learned this method from my high school math teacher,
Mr. H. Carlisle Taylor, in 1956.  It not only works, but I can
even understand it !)

The first object can be any one of the 8 .  For each of those ...
The 2nd object can be any one of the other 7.  For each of those ...
The 3rd object can be any one of the other 6 .  For each of those ...
The 4th object can be any one of the other 5 .  For each of those ...
The 5th object can be any one of the other 4 .  For each of those ...
The 6th object can be any one of the other 3 .  For each of those ...
The 7th object can be any one of the other 2 .  For each of those ...
The 8th object has to be the 1 that's left.

Total number of possible ways to line them up is

                 (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) =  40,320 ways .

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ANSWER

g(x) =   {(x + 5)}^{3}  + 4

EXPLANATION

Given the parent function:

f(x) =  {x}^{3}

If we shift the graph of f(x), 5 units to the left, then the new rule is

x \to \:  {(x + 5)}^{3}

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

x \to \:  {(x + 5)}^{3}  + 4

Or

g(x) =   {(x + 5)}^{3}  + 4

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Maksim231197 [3]

Answer:

25. If you look at angle B from the first figure you see a square that indicates a 90 degrees angle, thus the figure shown is a right triangle. You can also see that angle C is said to have 60 degrees. a right triangle has a total angle of 180 degrees. so, 180 - 90 - 60 = 30 degrees. Therefore, angle A is 30 degrees.

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Answer:

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