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ycow [4]
3 years ago
5

Suppose you have 13 tubes of paint. How many distinct color groupings can you make with your paint?

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

32767 distinct color grouping

Step-by-step explanation:

Given data:

Total tube is 13

for distinct color, group can be 1,2,3,4,.... 15

For total number of ways we have following relation

^nC_0 +^nC_1 +^nC_2 + .......^nC_n = 2^n

here n = 13 so we have

^15C_0 +^15C_1 +^15C_2 + .......^15C_{15} = 2^15

for at least one

= 2^{15} - 1

= 32768 -1

= 32767 distinct color grouping

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4(5x + 9)^2 – 33 = -21
ozzi

Answer:

x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

Step-by-step explanation by completing the square:

Solve for x over the real numbers:

4 (5 x + 9)^2 - 33 = -21

Add 33 to both sides:

4 (5 x + 9)^2 = 12

Divide both sides by 4:

(5 x + 9)^2 = 3

Take the square root of both sides:

5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)

Subtract 9 from both sides:

5 x = sqrt(3) - 9 or 5 x + 9 = -sqrt(3)

Divide both sides by 5:

x = sqrt(3)/5 - 9/5 or 5 x + 9 = -sqrt(3)

Subtract 9 from both sides:

x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)

Divide both sides by 5:

Answer:  x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

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4 years ago
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Answer:

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3 years ago
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Given that f(x)= 9x^2-180, find x
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Answer:

The answer is C

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