Answer:
Step-by-step explanation:
To solve this problem we must pay attention to the following data supplied:
- f It is the number of figurines that remain to be painted.
- t amount of time, in minutes, that Colin spends painting
- Colin takes 20 minutes painting each figurines.
- After painting 60 min, he still has 9 figurines left. f (60) = 9
If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.
Then, at the beginning he has 9 +3 figurines to be painted.
With these two points we can find the function:
If m is the slope of the line, then:
Where by definition 
Finally the formula is:
<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18. 416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes. ===== This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being: 1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!. 2. That all of the pages must be filled. Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations. 6x3 card pages. Only 1 possible configuration. 4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways. 2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways 9x2 card pages. These can only be arranged in 1 way. So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations. Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is 6402373705728000 * 65 = 416,154,290,872,320,000</span>
Answer:
Option a,d and e are correct.
Step-by-step explanation:
Pyramid is the figure in which every base and apex forms triangle.
Polygon is two dimensional figure with straight lines.
Square is a figure in which all four sides are equal.
Solid is a three dimensional figure.
Polyhedron is a three dimensional figure with straight edges and sharp corners.
Prism is a polyhedron with parallel bases.
The given figure is:
Pyramid
Solid
Polyhedron
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