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
Mashcka [7]
3 years ago
14

Which expression represents the sixth term in the binomial expansion of (2a - 3b)10?

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
8 0

<u>Answer</u>

2,737,152a⁵b⁵


<u>Explanation</u>

(2a - 3b)¹⁰ = (2a)¹⁰ - 10(2a)⁹(3b) + 47(2a)⁸(3b)² - 144(2a)⁷(3b)³ - 212(2a)⁶(3b)⁴ + 352(2a)⁵(3b)⁵

The 6th term in this expression is 352(2a)⁵(3b)⁵

352(2a)⁵(3b)⁵ = 352 × 2⁵a⁵ × 3⁵b⁵

                         = 352 × 32 ×243 ×a⁵b⁵

                         = 2,737,152a⁵b⁵

kaheart [24]3 years ago
3 0

Answer:

<h2>A. 10C5 (2a)^5 (-3b)^5 </h2>

Step-by-step explanation:

<h3><em>hope this helps!</em></h3>

You might be interested in
If (82)p = 84, what is the value of p? 2 3 4 6
Brums [2.3K]
Alright, so in order to solve this, we need to isolate the variable. So, we need to simplify the equation. So, we have the equation:
82•P = 84
So, we need to divide both sides by 82 because it is the opposite of multiplication. So, we have :
82•P/82 = 84/82
So, 82•P/82 = 1p = P.
84/82 = P
If You Need Decimal Form, 
84/82 = About 1.02
8 0
3 years ago
What is the surface area of the figure?
Oliga [24]

Answer:

The total surface area = 582 ft²

Step-by-step explanation:

To find the surface area of it count the number of faces at first

The figure has 8 faces each 2 are equal

1- Two faces with dimensions 4 ft and 15 ft ( base and shaded face)

2- Two faces with dimensions 9 ft and 4 ft

3- Two faces with dimensions 4 ft and 6 ft

4- Two faces with dimensions 15 ft , 9 ft and 6 ft

Area of (1-) = 2(4 × 15) = 120 ft²

Area of (2-) = 2(4 × 9) = 72 ft²

Area of (3-) = 2(4 × 6) = 48 ft²

Area of (4-) = 2[(9 × 9) + (6 × 15)] = 2[81 + 90] = 2 × 171 = 342 ft²

∴ The total surface area = 120 + 72 + 48 + 342 = 582 ft²

5 0
3 years ago
Find the volume of the following solid. The solid between the cylinder ​f(x,y)equals=e Superscript negative xe−x and the region
PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy

Now evaluate,

\int_{0}^{ln(6)}e^{-x}dx

which evaluates to,  5/6 if I did the math correct. Correct me if I am wrong.

Now integrate this w.r.t. y:

\int_{-6}^{6}\frac{5}{6}dy = 10

So,

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10

7 0
2 years ago
Find the 5th (not fourth) of given geometric sequence. 2000, 1000, 500,...
Greeley [361]

Answer:

125

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

1000/2000 = 1/2

We multiply each term by 1/2

2000, 1000, 500

To find the next term 500*1/2 = 500/2 = 250

To find the 5th term

250*1/2 = 125

8 0
3 years ago
29/40 converted into a decimal
myrzilka [38]

Answer:

The answer is 0.725 Please mark me brainliest xd

6 0
3 years ago
Read 2 more answers
Other questions:
  • 3/6 what is the sum in unit fractions
    14·1 answer
  • A farmer plants corn and soybeans. This model shows the area reserved for each.
    11·2 answers
  • If you have 2 2/3 cups of cheese if you make three times more how maney cups would you need
    12·2 answers
  • governor A earns 52,035 more than governor b. total of their salaries is 291,035 find the salaries of each.
    5·1 answer
  • On a trip to Griffith Observatory, Dave rode his bicycle six more than twice as many miles in the afternoon as in the morning. I
    6·1 answer
  • One-half of the sum of a number and nine
    15·1 answer
  • 3x + 25 = 2(4x – 10) solve step by step
    12·2 answers
  • See screenshot below​
    12·2 answers
  • Find the perimeter of the image below: A. 37 units
    10·2 answers
  • Please answer all three questions Pleaseeeeee tysmm &lt;3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!