find x^12 coefficient in the expression of (3x -2/x )^10​

Answers

Answer 1

Step-by-step explanation:

(3x-2/x)^10

(r+1)th term = 10Cr (3x)^10-r (-2/x)^r

= 10Cr (3)^10-r (-2)^r (x)^10-2r

Let 10-2r = 12

- 2r = 2

r= - 1

The coefficient of x^12

= 10C-1 (3)^11 (-2)^-1

= 10C11 (3)^12 (-1/2)

= (1/11) (3)^12 (-1/2)

= - 1/22 × (3)^12


Related Questions

So
Ms. Hartselis katen weighed 6.8 pounds the last time she was at the vet's
office. If she was 5.3 pounds the first time she was weighed, what is the
percent increase in her weight? (To the nearest whole percent)

Answers

The nearest percent increase in 53 to 68 is about 29 percent.

can someone please help me with this ASAP?
THANKS SO MUCH

Answers

Answer: 25

Step-by-step explanation:

B=3÷5×100

 =60

D=0.35×100

  =35

so,    B-D=60-35

              25

What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form.

Answers

Step-by-step explanation:

A = 1/2 × at

a = 5/3 meter

t = 1/2 meter

A = 1/2 × 5/3 × 1/2

A = (1 × 5 × 1)/(2 × 3 × 2)

A = 5/12 m²

Write an equation for a line parallel to 4x – 2y = 4 that passes through the point (3,22)

Answers

Answer:

y = 2x + 16

Step-by-step explanation:

4x - 2y = 4

-2y = -4x + 4

y = -4/-2x + 4/-2

y = 2x - 2

Slope: 2

Point: (3,22)

y-intercept: 22 - (2)(3) = 22 - 6 = 16

Answer:

y=2x+16 or 2x-y=-16

Step-by-step explanation:

Hi there!

We are given the equation 4x-2y=4, and we want to write an equation for the line parallel to it, that also passes through (3, 22)

First, let's find the slope of the line, as parallel lines have the same slope.

In order to find the slope, we can convert the equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

Start by subtracting 4x from both sides:

-2y=-4x+4

Divide both sides by -2

y=2x-2

2 is in the place where x is, so the slope of the line is 2

It's also the slope of the line parallel to it.

Writing the equation in slope-intercept form, this is the equation so far:

y=2x+b

Now let's find b

Since the equation passes through the point (3,22), we can use it to help solve for b

Substitute 22 as y and 3 as x:

22=2(3)+b

Multiply

22=6+b

Subtract 6 from both sides

16=b

Substitute 16 as b in the equation.

y=2x+16

We can stop right here, but we can also re-convert it into standard form

To do that, subtract 2x from both sides:

-2x+y=16

There's a rule that the coefficient in front of x CANNOT be negative; in order to change the sign, multiply both sides of the equation by -1

2x-y=-16

Hope this helps!

Someone plz help me :(

Answers

Answer:

C)

Step-by-step explanation:

the factors are the terms being multiplied, which are 5 and 'm-1'

I think the Answer is C, sorry If I’m wrong

what is 2x+3=r+2 ???

Answers

Answer:

R.4

thank you good luck

Answer:

What variable are you trying to solve? Imma just guess you are trying to solve for x since its on the left side so...

2x+3=r+2

Subtract three from both sides

2x=r-1

Divide 2 from both sides

x=r-1/2 OR

x=1/2r+-1/2

Step-by-step explanation:

Give brainliest pls

Have a nice day :D



A. The shipping cost is a function of the number of packages

B. The weight of the packages is a function of the number of packages

C. The shipping cost is a function of the weight of the package

D. The weight of the package is a function of the shipping cost

Answers

Answer:

C

Step-by-step explanation:

Y axis is F(x), the function of X axis

So, the shipping cost(Y) is a function of the weight (X)

Mrs. Lowe, Mrs. Thomson and Ms. Rebuck went out to a restaurant for lunch. They each ordered a meal with a drink. Their total bill was $62.50. They want to leave their waitress a 20% tip. What tip should they leave for their waitress?

Answers

Answer:

12.5

Step-by-step explanation:

use a calculator and don't waste your coins

Help me I have this question and two others

Answers

Answer:

Green line

Step-by-step explanation:

This is the only line that has coordinates (1,2) and the slope is positive.

Answer: You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster.

Step-by-step explanation: hope this helps.

Please help solve!!!!

Answers

There is no problem to solve. Please share problem.

5. Find the value of x. a 14 b. 166 c. 104 d. 289 6​

Answers

[tex] = > \: 7b \: + \: x \: = \: 180 \\ = > \: x \: = \: 180 \: - \: 76 \: \\ = > \: x \: = \: 140 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]

candycakes22 (^‿^)

The artist R. Locklen Jones selects 3 paintings from a collection of 6 to display in a row. How many different arrangements of the display are possible

Answers

Using the combination formula, it is found that 20 different arrangements of the display are possible.

The order in which the paintings are displayed is not important, hence, the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 paintings are chosen from a set of 6, hence:

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

20 different arrangements of the display are possible.

A similar problem is given at https://brainly.com/question/24437717

If c ⊥ b, what is m∠2?
a. 45
b 35
C. 135
D. 145

Answers

D 145 have a nice day in math class

if you make 16.60 an hour , what will your weekly pay be ,(before taxes) if you work 38 hours per week?​

Answers

Answer:

$630.80

Step-by-step explanation:

$16.60 an hour

16.60 x 38 hours = $630.80

Answer:

116.20

Step-by-step explanation:

Find two consecutive natural numbers whose sum is 63.​

Answers

Answer:

31 , 32

Step-by-step explanation:

Explanation :-

let one number be x.And the other will be ( x+1)

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow (x+1)+x = 63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x+1+x=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2x+1=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2x=63-1}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x=\cancel{\dfrac{62}{2}}}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 31}}}}}}[/tex]

Verification:-

[tex]\qquad \pmb{\sf\longrightarrow (x+1)+x=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 32+31=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 63=63}[/tex]

Therefore

The two consecutive natural numbers whose sum is 63 will be x=31 and x+1=31+1=32

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

tell me answer i need quick

Answers

Answer: x=18


7x-7=6x+11
7x-6x=11+7
x=18

Help? I dont remember how to do this!!!!

Answers

Answer:

13. 5^7

14. 7^1000

15. 16^10000

25 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

If the price of a yo-yo in a shop increased by 20% and is now $3.60, what was the original price?

Answers

Answer:

$3.00

Step-by-step explanation:

$3.00 x .2 = 0.60. added to original

The original price of the yo-yo in a shop is $3.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that the price of a yo-yo in a shop increased by 20% and is now $3.60.

The original price will be calculated as let the original price is x dollars. Then from the question, the expression will be formed as below:-

1.20x = 3.60

x = 3.60 / 1.20

Divide 3.60 by 1.20 to get the value of x.

x = $3

It means that the 20 percent is equal to the amount of $0.6.

Therefore, the original price of the yo-yo in a shop is $3.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

5x^2+y^3-3y+3y^2=0 then find the dy/dx in terms of x and y

Answers

Answevjvj

vekv  

Step-by-step explanation:

PLEASE HELP FAST I NEED THE ANSWER!!!!!
Which answers are examples of deductive reasoning?

Select each correct answer.

1. Jonathan leaves for school at 7:30 a.m. and is on time. Jonathan will always be on time if he leaves at 7:30 a.m.

2. Mary and Sue are friends. Mary enjoys fishing, running, and rock climbing. Sue likes fishing and rock climbing. Sue must also like running.

3. The local grocery store charges $3 for a gallon of milk. Joe is going to the local grocery store to buy milk. Therefore, Joe expects to spend $3 for a gallon of milk.

4. All three angles in an equilateral triangle measure 60°. Triangle ABC is an equilateral triangle. Therefore, all three angles in triangle ABC measure 60°.

Answers

3 and 4 are correct hope that helps <3

what is x in .80x+30=1.20x+14

Answers

Answer:

x =  40

Step-by-step explanation:

.80x + 30 = 1.20x + 14

-.80x        = -.80x        

          30 = .4x  + 14

         -14 =         -14

           16 = .4x

            16/.4  = .4/.4x

              40    =  x

       

THE PERIMETER OF TRIANGLE DEF IS

Answers

Answer:

18

Step-by-step explanation:

I hope I could help!!

Let me know if you need a picture of my work.

WHAHHATHWAHTHAWTHAWHTHWTHAWTHHWTHTWTHTA

Answers

Answer: it took 6 hours.

Step-by-step explanation: 6 x 55 is 330, then we add the $35 for service call and we get 365.

please help me wit dis

Answers

Answer:

Volume = 37.68 ft³

Step-by-step explanation:

[tex]V_{cone} = \frac{\pi r^2h}{3}[/tex]

Volume = [tex]\frac{(3.14)(9)(4)}{3}[/tex]

Volume = 113.04/3

Volume = 37.68

-Chetan K

please help me with this.

Answers

Answer:

8.6 units

Step-by-step explanation:

use the distance formula:  d = [tex]\sqrt{(y-y)^2 + (x-x)^2}[/tex]

d = [tex]\sqrt{[(3-(-2)]^2 + (-3 - 4)^2}[/tex]

d = [tex]\sqrt{5^2 + (-7)^2}[/tex]

d = [tex]\sqrt{25+49}[/tex]

d = [tex]\sqrt{74}[/tex]

d = 8.6

A ball is falling at terminal velocity. Terminal velocity occurs when the ball is in equilibrium and the forces are balanced.
Which free body diagram shows the ball falling at terminal velocity?
F 20 N
F
air
5 N
Cir
F 20 N
9
F. 20 N
F, 20 N
O
F 30 N

Answers

Answer:

b

Step-by-step explanation:

ps Im doing this for poitns

 Executives for a company that prints logos on products are expanding the company’s services to include souvenirs such as hats, shirts, and foam fingers for sports teams. The data they collected from a sample of 300 adults about their favorite sport to watch and their favorite souvenir to buy are shown in the table.

A 4-column table with 3 rows. Column 1 has entries football, baseball, soccer. Column 2 is labeled Hat with entries 51, 39, 30. Column 3 is labeled T-shirt with entries 6, 66, 3. Column 4 is labeled Foam finger with entries 39, 21, 45. The columns are titled Souvenir and the rows are titled Sport.

A survey participant is randomly selected. Let F be the event that the participant prefers football and let N be the event that the participant prefers the foam finger. What is the value of P(F and N)?

0.13
0.32
0.35
0.39

Answers

Answer:

.39

Step-by-step explanation:

just did the math

Correct Answer is 0.13

Probability:

The probability formula is the number of favourable outcomes to the total number of all the possible outcomes.

The probability of an Event = (Number of favourable outcomes) / (Total number of possible outcomes)

P(A) = n(E) / n(S)

Here, (Given)

n(E) = The participant prefers football and the event is foam finger = 39

n(S) = Total number of outcomes = 300

P(A) = probability the participant prefers football and the event foam finger.

P(A) = 39 / 300

P(A) = 0.13

Learn more about probability here:

https://brainly.com/question/11234923?referrer=searchResults

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Expand and simplify 3(5x-2)-2(2x-5)

Answers

11x+4

After distribution it goes to
15x-6-4x+10
Then after you simplify it goes to
11x+4
You first expand the brackets to get 15x-6-4x+10
You then group like terms
15x-4x+10-6
You then simplify to get
11x+4

Five Questions FIFTY POINTS...look please don't just get this points I really need help in math rn. tysm for your help really need it..no links please..
Question 1
Solve.

−3 2/3=x−1 1/4

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.
Question 2
Solve.

x − (−2 5/6)= −1/5

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.
Question 3
Solve.

−3 2/3x=−2 1/5

What is the solution to the equation?

Enter your answer as a simplified fraction in the box.
Question 4
Solve for m.

−3/7m=12

m=−28
m=−26
m = 26
m = 28
Question 5
Solve for b.

−1/3b=9

b=−27
b=−3
b = 3
b =27

Answers

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

You're welcome.

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

Step-by-step explanation:

yall if u can please try to answer all i have no clue

Answers

Answer:

u have no question lol??

Answer:

What? you didnt add the picture

Step-by-step explanation:

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