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kumpel [21]
2 years ago
13

What is the 5th term of the expansion of (3x+y^4)^7

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
8 0

9514 1404 393

Answer:

  945x^3·y^16

Step-by-step explanation:

The 5th term will be ...

  C(7,4)(3x)^3(y^4)^4 = 35·27·x^3·y^(4·4)

  = 945x^3·y^16

_____

The coefficients of the expansion are C(n, k) where n is the exponent of the binomial, and k+1 is the term number. This is n!/(k!(n-k)!). The general (k-th) term of the expansion (a+b)^n is C(n, k)a^(n-k)b^(k) where k ranges from 0 to n.

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7 0
2 years ago
A baseball team had 28 hime runs last year. This year they have 20 homeruns. What was the percent of change
dexar [7]

Answer:

28.57% drop

Step-by-step explanation:

Number of runs

  • Last year = 28
  • This year = 20

Change this year:

  • 28 - 20= 8

Change %:

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8 0
3 years ago
Determine the equation of a horizontal line that passes through (4,7)
professor190 [17]
Y=7 because there is no slope and the Y intercept is at 7.
5 0
3 years ago
I need help with this please
Lelechka [254]

There are 36 possible combinations that can occur when 2 dice are rolled. For the sake of this question, we'll count instances where dice 1 = 3/dice 2 = 2 and dice 1 = 2/dice 2 = 3.

Now, let's think about all of the possible ways a total of 5 could be rolled.

1 + 4

2 + 3

3 + 2

4 + 1

That's 4 possibilities to roll a total of 5 out of 36 possible outcomes.

4 / 36 = ? / 180

---Now, we need to use a proportion in order to figure out the possibilities out of 180.

36x = 720

x = 20

If you rolled a pair of fair dice 180 times, you would expect to roll a total of 5, 20 times.

Hope this helps!

4 0
2 years ago
PLS HELP ILL GIVE U BRAINLIEST
vekshin1
The answer to this question would be the second option “10m + 5 > 100” because 10 a month so (10m) then he purchases 5 extra per month so + 5 then his total collection is MORE so greater than 100 games so > 100 so the outcome is “10m + 5 > 100”
5 0
3 years ago
Read 2 more answers
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