1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixas84 [53]
3 years ago
9

Which expression represents the sixth term in the binomial expansion of (5y+3)^10

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0
\bf \textit{the coefficient and values of an expanded term}\\\\
(5y-3)^{10} \qquad \qquad 
\begin{array}{llll}
expansion\\
for\\
6^{th}~term
\end{array} \quad 
\begin{cases}
\stackrel{term}{k}=0..10\\
\stackrel{exponent}{10}\\
-----\\
k=\stackrel{6^{th}~term}{5}\\
n=10
\end{cases}

\bf \stackrel{coefficient}{\left(\frac{n!}{k!(n-k)!}\right)} \qquad \stackrel{\stackrel{first~term}{factor}}{\left( a^{n-k} \right)} \qquad \stackrel{\stackrel{second~term}{factor}}{\left( b^k \right)}

\bf \stackrel{coefficient}{\left(\frac{10!}{5!(10-5)!}\right)} \qquad \stackrel{\stackrel{first~term}{factor}}{\left( (5y)^{10-5} \right)} \qquad \stackrel{\stackrel{second~term}{factor}}{\left( (-3)^5 \right)}
\\\\\\
252(5y)^5(-3)^5\implies 252(5^5y^5)(-3)^5\implies -252(3125y^5)(243)
\\\\\\
-191362500y^5
You might be interested in
Multiply 2/3 by 42, and then multiply that product by 10
Mrac [35]

Answer:

140 is the answer

Step-by-step explanation:

2/3 of 42 is 14 multiplied by ten is 140

Hope this helps ;)

7 0
3 years ago
Please please help me
kiruha [24]

Answer:

what are you doing

Step-by-step explanation:

8 0
2 years ago
The following sequence is an arithmetic sequence. You are not shown very many terms of this sequence, but you are shown enough t
Olegator [25]
12

since the difference of the first and third value is ten, each value is five more than the previous value
7 0
3 years ago
Read 2 more answers
Which ratios are equivalent to 3:4
valentina_108 [34]
9:12, 18:24,6:8

3*3=9 and 4*3=12

3*6=18 and 4*6=24

3*2=6 and 4*2=8
6 0
3 years ago
Read 2 more answers
A line passes through the points (-15, 4) and (5,8). What is its equation in slope-intercept
vovangra [49]

Answer:

y=1/5x+7

Step-by-step explanation:

just checked it on paper

7 0
2 years ago
Other questions:
  • Dmitri wants to cover the top and sides of the box shown with glass tiles that are 3 5 mm square How many tiles does he need 20
    10·1 answer
  • Franklin deposits $3500 in an account that earns 3.5% interest compounded annually. What function equation represents the balanc
    8·1 answer
  • How many duckling were swimming at the pond?
    10·1 answer
  • The equation of a circle is x^2+(y+4)^2=1<br> What are it’s center and it’s radius?
    5·1 answer
  • Find the derivative of f(x)= e^(4x) + e^-(4x)
    11·2 answers
  • I need help on this asap!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • Vertex and name please​
    8·1 answer
  • HEY IF U NEED POINTS JUST ANSWERR<br> YW LOVE U!
    11·2 answers
  • Easy math help please and thank you
    10·2 answers
  • 3a≥ -6<br> solve for a <br> PLEASE
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!