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-Dominant- [34]
2 years ago
10

A classic children's toy consists of 13 different blocks that combine to form a rectangle showing a man's face. Each block has f

our sides with alternatives for that part of the face; for example, the block for the right eye might have a closed eye on one side, a partially open eye on another, and so on. A child can turn any block and so change that part of the face, and in this way many different faces can be formed.
How many different faces can be formed by the children's toy?
Mathematics
1 answer:
Gwar [14]2 years ago
8 0

Answer: 67,108,863 combinations.

Step-by-step explanation:

We have 13 blocks.

Each block has 4 differet options.

The total number of combinations is equal to the product of the options for each variable (the variables are the 13 blocks) so we have that the number of combinations is:

C = 4*4*4*4*4*4*4*4*4*4*4*4*4 = 4^13 = 67,108,863

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OverLord2011 [107]

Answer:

Volume = 16 unit^3

Step-by-step explanation:

Given:

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Find:

Determine the Volume bounded.

Solution:

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                              A(x) = 0.5*(sqrt(x) + sqrt(x) )^2

                              A(x) = 0.5*(4x) = 2x

- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:

                              V = integral(A(x)).dx

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                               V = x^2

- Evaluate limits 0 < x < 4:

                               V= 16 - 0 = 16 unit^3

3 0
2 years ago
Game 1 gives you 200 points every time you score. Game 2 doubles your points every time you score (2, 4, 8, and so on). In which
nignag [31]
Its depends on how many times you score during the game 

in second game the number of points increases  as a geometric sequence
with common ratio 2

so for example if you score ten times in first game you get 2000 points


if you score 10 times in Game 2 you score   2 * (2^10) - 1  =  2046 points

so playing 10 or more games  is best with Game 2.  Any less plays favours gane 1.

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2 years ago
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ankoles [38]

Answer:

Step-by-step explanation:

HH

HT

TH

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2 years ago
ken purchased a plot of land shaped like the figure shown. how can he find the length of the side labeled x if he knows the area
OLga [1]
What figure?  anyways if it is a square you simply square root the area. EX: A=81 S=9
it it is a rectangle, you must know the other side before dividing
and so on
sorry I couldn't see the figure
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2 years ago
A giraffe measures 17 feet tall . A gorilla mesures 63 inches tall. How many feet taller is the giraffe than the gorilla
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