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Murrr4er [49]
3 years ago
8

Nicolas bought a map of the city uses a scale of 1 inch to 8 miles Nickolas his house and school are 1 1 over 2 inches apart on

the map how far apart with his house and his school will be on the map if the scale is 1 inch to 6 miles
Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Answer:

What is the question

Step-by-step explanation:

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Find the coefficient of x^4 in the expansion of (1 + 2x + 3x^3)^10?
Lesechka [4]
(1+2x+3x^3)^{10}

The only possible configurations of terms that contribute to generating the x^4 term in the expansion are given by the multinomial theorem to be

\left(\dbinom{10}{6,4,0}(1)^6(2x)^4(3x^3)^0+\dbinom{10}{8,1,1}(1)^8(2x)^1(3x^3)^1\right)x^4

where

\dbinom{10}{k_1,\ldots,k_m}=\dfrac{10!}{k_1!\cdots k_m!}

Simplifying a bit gives a coefficient of

\dbinom{10}{6,4,0}(2)^4+\dbinom{10}{8,1,1}(2)(3)
16\dbinom{10}{6,4,0}+6\dbinom{10}{8,1,1}
16\dfrac{10!}{6!4!0!}+6\dfrac{10!}{8!1!1!}
16(5\times3\times2\times7)+6(10\times9)=3900
3 0
3 years ago
how many 4 letter words can you make from a list of 12 letters, if you use each letter only once in each word?​
fiasKO [112]

Answer:

it would be 3 because if you list words then just divide 12 by 4 and you get 3

7 0
3 years ago
An art class consists of 8 boys and 10 girls. The teacher
wolverine [178]

Answer: 14/285

Step-by-step explanation:

B = 10

G = 8

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So its a 8/20 that 1 is a girl but then 2nd its 7/19 and 3rd 6/18 so

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3 0
3 years ago
Two angles of a quadrilateral measure 200° and 50°. The other two angles are in a ratio of 2:9. What are the measures of those t
avanturin [10]

Answer:

20° and  90°

Step-by-step explanation:

Let 2x = measure of 1st angle

then 9x =  measure of 2nd angle

The sum of the measures of the angles of a quad is 360

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250 + 11x = 360

11x = 110

x = 10

2x = 20°

9x = 90°

7 0
3 years ago
Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%, what is the cost of the bonds
soldi70 [24.7K]
The cost of the bond
6×1,000×0.92=5,520
4 0
3 years ago
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