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azamat
3 years ago
9

How many terms are in the binomial expansion of (3x + 5)9? 8 9 10 11

Mathematics
2 answers:
Stells [14]3 years ago
6 0
The number of terms in the binomial expansion of (3x-5)^9 is 10
Mkey [24]3 years ago
6 0

Answer: 10

Step-by-step explanation:

We know that in the binomial expansion of (a+b)^n, the total number of terms = n+1

For the binomial expansion of (3x + 5)^9 , n= 9

Then, the  total number of terms in binomial expansion of (3x + 5)^9 will be :-

n+1=9+1=10

Hence, there are 10  terms are in the binomial expansion of (3x +5)^9.

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Which ratios approximate pi ​(​)?
kramer

9514 1404 393

Answer:

  A: 66/21

  E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

  A: 66/21 = 22/7 = 3 1/7

  B: 60/20 = 3

  C: 21/7 = 3

  D: 45/15 = 3

  E: 22/7 = 3 1/7

___

<em>Comment on pi approximations</em>

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

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3 years ago
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