expand (2a +36) (2a-3b​

Answers

Answer 1
Use the binomial expansion theorem to find each term. The binomial theorem states
(
a
+
b
)
n
=
n

k
=
0

n
C
k

(
a
n

k
b
k
)
(
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k
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0
n

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k

(
a
n
-
k
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.
3

k
=
0

3
!
(
3

k
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k
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(
2
a
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3

k

(

3
b
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k

k
=
0
3

3
!
(
3
-
k
)
!
k
!

(
2
a
)
3
-
k

(
-
3
b
)
k
Expand the summation.
3
!
(
3

0
)
!
0
!

(
2
a
)
3

0

(

3
b
)
0
+
3
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(
3

1
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1
!

(
2
a
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3

1

(

3
b
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+
3
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(
3

2
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2
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(
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2

(

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3
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3
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3

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(
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0
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0

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3
Simplify the exponents for each term of the expansion.
1

(
2
a
)
3

(

3
b
)
0
+
3

(
2
a
)
2

(

3
b
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+
3

(
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(

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2
+
1

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2

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(
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2
+
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(
2
a
)
0

(
-
3
b
)
3
Simplify each term.
Tap for more steps...
8
a
3

36
a
2
b
+
54
a
b
2

27
b
3
8
a
3
-
36
a
2
b
+
54
a
b
2
-
27
b
3

Related Questions


A 20 gallon tank is full. How many gallons are in the tank?

Answers

Answer:

20???

Step-by-step explanation:

20 gallons because it is full and the most that can be filled up is 20 gallons

Explain why a+b=d because I don’t understand

Answers

Answer:

a and b connect to d in the slope

Step-by-step explanation:

Answer:

Aight mate

Step-by-step explanation:

So every triangles angles will add up to 180 degrees no matter the triangle. Now a circle is 360 and a line is 180. Look at the line that A and C are on this line equals 180. So angle c and d added together make 180 and angles a b and c added together make 180. so if a+b+c = c+d then a+b=c. I hope thaqtmakes sense.

can somebody help me pleaseee ?? it’s due soon & im stuck .

Answers

Answer:

a. lenqth=32 , width=2

b. m∠p=100  m∠Q=50  m∠R=30

c. XY=20  YZ=12

d.m∠1=90    m∠2=90

Step-by-step explanation:

a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,

1  AND  64   (this answer is suitable but it's better to choose another

one if available for more accuracy)

2  AND  32  (this is a good answer to use)

4  AND 16   (this one already used in the question)

8   AND  8   (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)

SO we will choose 2 AND 32 for the answer and we can put them in any order we want.

b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.

I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).

c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.

d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.  

X^2+ 17x+91=0
Help please!!

Answers

Answer:

x^2+17x+91=0

a = 1; b = 17; c = +91;

Δ = b2-4ac

Δ = 172-4·1·91

Δ = -75

Delta is less than zero, so there is no solution for the equation

Step-by-step explanation:

1+2x6+7= -13
where do i have to put the parenthesis so its correct

Answers

Answer:

you have to but it back 2 times

Step-by-step explanation:

ir is because it should be back 2 rimes

can someone PLEASE help me on this PLEASE.
The given table of values represents a linear equation. What is the slope?

Answers

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

slope=(9-7)÷(3-2)

slope= 2.

y=-7x+6 in standard form. I’ll give brainliest. Hurry pls

Answers

Answer:

7x+y=6

Step-by-step explanation:

trust

If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.

Answers

Answer:

- 1

Step-by-step explanation:

Using the trigonometric identity

cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]

Given

f(x) = - 2cosx , then

f(- 300° )

= - 2cos(- 300)°

= - 2cos(300)°

= - 2cos(360 - 300)°

= - 2cos60°

= - 2 × [tex]\frac{1}{2}[/tex]

= - 1


The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2

Answers

Answer:

1.3 kg/cm

Step-by-step explanation:

A restaurant charged Ms. Smith $120 for dinner,
while at dinner she met with a friend and they had a
great conversation about the 25 animals at the zoo.
When dinner was over she left a 15% tip. How much
was the tip amount?

Answers

The tip amount is $18. The total bill would be $138

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?

Answers

Answer:

315

Step-by-step explanation:

5 x 7 = 35

280 + 35 = 315

There sth answer

Answer:7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

hope this help btw i am 12

Step-by-step explanation:

can someone help me x -y =1
and can yall explain how you solved it

Answers

Answer:

x = 1 + y

Step-by-step explanation:

add y to both sides, and that is basically it

You need at least 30 cubic feet of sand to fill a sand box. Each box contains 2.5 cubic feet of sand. Write and solve an inequality that represents the number of bags “b” that you need to buy

Answers

Answer:

2.56 = 30

b = 12

(Sorry if I’m wrong! I speeded on it.)

Step-by-step explanation:

Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units​

Answers

Answer:

V= 5 X=6

Step-by-step explanation:

You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?

Answers

Answer:

Your pay at the end of the these two weeks will be $1,375

Step-by-step explanation:

In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.

In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:

20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550

In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:

30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825

Then your salary at the end of these two weeks is calculated by:

Payment of the first week + Payment of the second week

$550 + $825 = $1,375

Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:

hours=  number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars=  number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 cars

Then your salary at the end of these two weeks is calculated by:

50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375

Note that either way you get the same result.

Your pay at the end of the these two weeks will be $1,375

what is the siope of a line that passes through the points (2, 3) and (4.-12)?

Answers

Answer:

-7.5

Step-by-step explanation:


Charlie and Kathy want to borrow $21254 to make some home improvements. Their bank will lend them the money for 9 years at an interest rate of 5.07%. How
much will they pay in interest?

Answers

Answer:

$ 9698 will be paid paid in interest.            hope this helps.

Step-by-step explanation:

interest= prn/100

i= 21254x9x5.07/100

i= $ 9698.2

HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.

Answers

Answer:

Step-by-step explanation:

let the number of dimes=x

and number of quarters=y

x=2y

0.10 x+0.25 y=2.25

or 10x+25y=225

divide by 5

2x+5y=45

2 ×2y+5y=45

4y+5y=45

9y=45

y=45/9=5

x=2y=2×5=10

Hence dimes=10

quarters=5

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. A button hyperlink to the SALT program that reads: Use SALT. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. % (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months

Answers

Answer:

a

   [tex]P(X <  24 )=  21.186\%  [/tex]  

b

    [tex]x =  19.78 \  months[/tex]

Step-by-step explanation:

From the question we are told that

 The mean is   [tex]\mu  =  26 \  months[/tex]

 The standard deviation is  [tex]\sigma  =  4 \  months[/tex]

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      [tex]P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )[/tex]

Generally  [tex]\frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )[/tex]

     [tex]P(X <  24 )=  P(Z <  -0.8  )[/tex]

Generally from the z-table  

       [tex]P(Z <  -0.8) =  0.21186[/tex]

So

       [tex]P(X <  24 )=  0.21186[/tex]

Converting to percentage

      [tex]P(X <  24 )=  0.21186  * 100[/tex]

=>    [tex]P(X <  24 )=  21.186\%  [/tex]  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    [tex]P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06[/tex]

=> [tex]P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06[/tex]

From the normal distribution table the z-score for  0.06 at the lower tail  is

       [tex]z = -1.555[/tex]

So

    [tex]\frac{x - 26}{4} = -1.555[/tex]

=> [tex]x =  19.78 \  months[/tex]  

What is the solution to 4 x + 6 less-than-or-equal-to 18?

help
<3

Answers

Answer:

x is less-than-or-equal to 3

Step-by-step explanation:

4(3)+6 =18

Write each equation/inequality in slope-intercept form.
y- 5 = 1/3 (x-6)

Answers

Answer:

Your answer is: y = 1/3x + 3

Use the formula y = mx + b

Step-by-step explanation:

Hope this helped : )

Look at the picture to see question plz help quickly and step by step

Answers

Answer: 16.6

Step-by-step explanation:

do you guys know this by any chance

Answers

Answer:

[tex]10^{17}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

When dividing fractions, like 1/5 divided by 3/4 what do we do?

Answers

Answer:

we cry bc math is hard JKK unless ?

but fr we can write out an equation by doing (1/5 ÷ 3/4) and then switch the sign to multiplication and we can keep the first fraction the same (in this case 1/5) and then we flip the second fraction BUT when we flip the second fraction upside-down we have to change the symbol to multiplication (1/5x4/3)

then after that all we do is multiply the denominators and numerators :)

1 x 4 = 4

_______

5 x 3 = 15

answer would be 4/15

A fraction is a way to describe a part of a whole. The result of the division of the fraction is 4/15.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The division of two fractions is carried out by multiplying the dividend fraction(Numerator) by the reciprocal of the divisor fraction(Denominator).

The divisions of the given fractions are carried out as shown below.

1/5 ÷ 3/4

[tex]=\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}\\\\\\= \dfrac{1 \times 4}{5 \times3}\\\\=\dfrac{4}{15}[/tex]

Hence, the result of the division of the fraction is 4/15.

Learn more about Fraction here:

https://brainly.com/question/1301963

#SPJ2

i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.

Answers

Answer:

Hello

Step-by-step explanation:

by what i understood the awnser should be c

what is the answer to 6y * 88 = 88 * 6y

Answers

Answer:

0 or No solutions

Step-by-step explanation:

hope this helps!

help = brainleist
please help

Answers

Answer:

The answer is D

Step-by-step explanation:

Hope this helps

please mark as brainlist

What is the solution to 8x - 3(2x - 4) = 3x - 18?

Answers

Answer:

X=30

Step-by-step explanation:

The answer is X=30

A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?

Proportional Question

Answers

Answer:

840

Step-by-step explanation:

if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840

Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.

Answers

Is there a picture so I can give you more information? Please let me know how I can help
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For each transaction, 1. Analyze the transaction using the accounting equation. 2. Record the transaction in journal entry form3. Post the entry using T-accounts to represent ledger accounts. Use the following (partial) chart of accountsaccount numbers in parentheses: Cash (101); Accounts Receivable (106); Office Supplies (124); Trucks (153); Equipment (167); Accounts Payable (201); Unearned Landscaping Revenue (236); D. Tyler, Capital (301); D. Tyler, Withdrawals (302); Landscaping Revenue (403); Wages Expense (601), and Landscaping Expense (696).a. On May 15, DeShawn Tyler opens a landscaping company called Elegant Lawns by investing $7,000 in cash along with equipment having a $3,000 value.b. On May 21, Elegant Lawns purchases office supplies on credit for $500.c. On May 25, Elegant Lawns receives $4,000 cash for performing landscaping services.d. On May 30, Elegant Lawns receives $1,000 cash in advance of providing landscaping services to a customer. What musical element is predominant in Classical music?rhythmdynamicsmelodyharmony What significance did Northern Europe play in the Renaissance? You pay your neighbor $100 in exchange for the used washing machine she is selling. Your neighbor puts that $100 into her pocket and takes her family out to the movies and a nice dinner at the end of the week. She still has $20 left after this outing and decides to put the remaining $20 into her savings account. This is an example of: Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale. If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all? Which numerical expression can you write to find the number of scoops? Ginger will use scoops in all. Aye man you know so like I need a GF and like I'm being like really serious can anyone help me with that? True or false please help 2. What do mushrooms, trees, spiders, birds and humans all havein common? The three paintings below are examples of what type of religious depiction?From Introduction to the Masters practiceThe answer is "pieta" your welcome What is the equation for calculating portion size? If a train goes at constant speed of 40 miles per hour for one hour, then at constantspeed of 55 miles per hour for two hours, what is its average speed at the train? h e l pQuinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan? Find an equation of the line that satisfies the given conditions.Through (2, 9); parallel to the line passing through (3, 7) and (1, 3) Robin has read 3/4 of a book. Mark said he had read 1/2 as much as Robin. What fraction of the book has mark read. an example for the word metacognition 2 + 29m - 9m - 5 =HELP in 2015, the number of fish in a pond was 80. In 2016 The number of fish declined by 75% How many fish were in the pond in 2016? ario made a deposit in an account that earns annual interest. His account balance, in dollars, after t years is represented by the expression 4001.05t . Yvonne made a deposit in an account that earns annual interest. Her account balance, in dollars, after t years is represented by the expression 3001.06t . Which statement describes the situation correctly? A. Mario deposited 100 dollars more than Yvonne, and Yvonnes account earns 1 percent more annual interest than Marios account. B. Yvonne deposited 100 dollars more than Mario, and Marios account earns 1 percent less annual interest than Yvonnes account. C. Mario deposited 100 dollars more than Yvonne, and Yvonnes account earns 1 percent less annual interest than Marios account. D. Yvonne deposited 100 dollars more than Mario, and Marios account earns 1 percent more annual interest than Yvonnes account. A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half? 5.37 m/s 7.07 m/s 5.00 m/s 6.10 m/s what is the main topic about exploring north america by lila eriksson