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aleksklad [387]
4 years ago
14

Find the 13th term of the binomial expansion of: (2x-4)^21 Please help :(

Mathematics
1 answer:
Lunna [17]4 years ago
4 0
T_r={n \choose r-1}a^{n-r+1}b^{r-1}\\ T_{13}={21 \choose 13-1}(2x)^{21-13+1}(-4)^{13-1}\\ T_{13}={21 \choose 12}(2x)^9(-4)^{12}\\ T_{13}=\frac{21!}{12!9!}\cdot512x^9\cdot16777216\\ T_{13}=293930\cdot8589934592x^9\\ T_{13}=2524839474626560x^9
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Answer:

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6 0
3 years ago
The diameter of a cylindrical construction pipe is 4ft If the pipe is 17ft long, what is its volume? Use the value 3.14 for /pi,
zvonat [6]

Answer:

214 ft^3

Step-by-step explanation:

Here, we are asked to calculate the volume of the cylindrical construction pipe.

Mathematically, the volume V

V = pi * r^2 * h

r is radius = diameter/2 = 4/2 = 2 ft

h = 17ft

pi = 3.14

Putting these values, we have;

V = 3.14 * 2^2 * 17 = 213.52 which is 214 ft^3 to the nearest whole number

8 0
3 years ago
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hammer [34]

Answer:

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3 years ago
Find the measure of the following angles given
olga55 [171]

Answer:

Step-by-step explanation:

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7 0
3 years ago
-4 + x = -20<br> just need help w this problem step by step
jarptica [38.1K]

Answer:

-16

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3 years ago
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