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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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The quotient of nine less than 3 times a number and four is 21how to translate into a sentence
dedylja [7]
Hello,

Let's assume n the number searched.

nine less 3 times n is written 9-3n
 
\dfrac{9-3n}{4} =21\\
==\ \textgreater \  9-3n=84\\
==\ \textgreater \  -3n=75\\
==\ \textgreater \  n=-25



8 0
3 years ago
7 divide by k in algebric expression​
Salsk061 [2.6K]

7 devide by k in algebric function = 7/k

4 0
3 years ago
CAN SOMEONE HELP ME WITH THESE QUESTIONS PLEASE!?
sukhopar [10]

Answer:

Step-by-step explanation:

1.

(c+9)^2=64=8^2\\

c+9=±8

either c=8-9=-1

c=-8-9=-17

so c=-1,-17

D

2.

8x^2-3=2

8x^2=5

x^2=\frac{5}{8}=\frac{10}{16}

x=±\frac{\sqrt{10}}{4}

so A

3.

x^2+4x+4=18\\(x+2)^2=9*2\\x+2=3\sqrt{2} \\x=-2  ±3\sqrt{2}

so D

or

8 0
3 years ago
Steven estimates how long his computer repairs will take. He discovers that ABC Tech and Tech Squad will charge the
katrin2010 [14]

You didn't include the costs of doing repairs at both computer repair firms. I fixed that for you.

ABC Tech ------- $20 service charge plus $15 per hour.

Tech squad ------- $30 service charge plus $10 per hour.

Answer:

Steven's estimate of the repair time is 2 hours.

Step-by-step explanation:

Now in this case, we were told that ABC Tech normally charges $20 service charge and $15 per hour of computer repair service. The second tech firm charges $30 service charge and $10 per hour for computer repair service. We are now simply required to find out or calculate the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal.

Let us use "x" to represent that unknown number of hours. The equation needed to calculate this is:

20 + 15x = 30 + 10x

We then pair like terms

15x - 10x = 30 - 20

5x = 10

x = 10/5

x = 2

Therefore the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal is 2 hours.

8 0
3 years ago
PLEASE HELP IN COMPLETE SENTENCES I WILL MARK BRAINLIEST
SVEN [57.7K]

Answer:

8km / 9 hours

Step-by-step explanation:

see the point is on

x axis = 9 = 9 hours

y axis = 8 = 8 kilometers

so the average speed of bus is 8 km in 9 hours

4 0
3 years ago
Read 2 more answers
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