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
CaHeK987 [17]
3 years ago
6

What is the numerical coefficient of the a^8*b^2 term in the expansion of ((1/3)a^2 - 3b)^6 ?

Mathematics
1 answer:
zhuklara [117]3 years ago
7 0

In the binomial development, the main problem is calculation of binomial coefficients.

If we want to get term a∧8*b∧2 we see that this is the third member in binomial development (n 2) a∧n-2*b∧2

The given binomial  is ((1/3)a∧2 - 3b)∧6, the first element is (1/3)a∧2, the second element is (-3b) and n=6 when we replace this in the formula we get

(6 2) * ((1/3)a∧2)∧(6-2) * (-3b)2 = (6*5)/2 * ((1/3)a∧2)∧4 *9b∧2= 15*(1/81)*9 *(a∧8b∧2) =

= 15*9* a∧8b∧2 = 135*a∧8b∧2

We finally get numerical coefficient 135

Good luck!!!


You might be interested in
Help me please? I'm dumb
kotykmax [81]

Answer:305

Step-by-step explanation:

6 0
3 years ago
Please tell me this, please! ASAP!
PtichkaEL [24]

Answer:

a)  C = 250 + 1.25n

b) 1800

c) 300

Step-by-step explanation:

a) To write the equation for these problems, let's establish the constant, $250, since we are given that $250 is a FIXED cost, meaning no matter how many brochures we print, we will have to pay $250. Then, we have to pay $1.25 for each brochure, so for n amount of brochures, so we have 1.25*n. Putting it together, we have the fixed cost + the cost of producing n brochures, C = 250 + 1.25C

b) The cost of printing 2500 brochures can be found by pluggin number into the equation above. C = 250 + 1.25*2500 = $1800

c) This is the opposite question, since 625 is the final cost, we plug it into the final cost, 625 = 250 + 1.25*n. Solving gives n = 300

8 0
2 years ago
Guy's y'all plzz answer this who knows about it...and also exam is near​
Yanka [14]

Answer:

Step-by-step explanation:

Okay so I will explain the first one.

2 to the power of 4 = 2x2x2x2

2 to the power of 6 = 2x2x2x2x2x2

2 to the power of 4 = 2x2x2x2

2^4 = 16

2^6 = 64

When you are multiplying powers you add.

+

When you subtract you takeaway.

-

So you would do

4+6+4

= 14

Meaning 2 to the power of 14

2x^{14}

So what is 2 to the power of 14.

You would do

2x2x2x2x2x2x2x2x2x2x2x2x2x2

The answer is 16384

You can also use a calculator

GOOD LUCK FOR YOUR TEST!

7 0
3 years ago
Which expression is equivalent to -16 - 7?
lakkis [162]

Step-by-step explanation:

B. -16 + (-7) ...this is the same as -16-7

3 0
2 years ago
If u need points just answer this
sasho [114]

OK im answering ............................................................................................................

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 10 and one half minus 8 and one half
    11·1 answer
  • Find z0.755.
    15·2 answers
  • What is probability​
    12·2 answers
  • I don’t know how to go about answering this, please help.
    12·1 answer
  • -2d - 15 = 3<br><br> Solve the equation. What does d equal?
    5·1 answer
  • solve. For her exercise program, Ann jogs for 3 1/6 miles, then walks for 1/4 of a mile, and finally jogs for another 1 1/3 mile
    11·2 answers
  • Solve Quadratic Equations (Factoring a=1)
    7·2 answers
  • Need helps pls will give thanks
    10·1 answer
  • What is 4/5 = 12/blank | Equivalent Fractions
    15·2 answers
  • The ratio 20mins to 1 hour can be written in the form 1:n find the value of n.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!