Determine the term containing y^5 in the expansion of (x-3y)^8

Answers

Answer 1

Answer:

-13608x³y⁵

Step-by-step explanation:

Since y has degree of 5, x has degree of:

8 - 3 = 5

The required term of the given binomial expansion (x - 3y)⁸ is:

8C₅(x³)(-3y)⁵,

The value of the constant:

8C₅ = 8!/5!(8-5)! = 7*8 = 56 * (-3)⁵= -13608

So the full term is:

336x³(-3)⁵y⁵ = -13608x³y⁵

Related Questions

Find the 20th term of the sequence.

1600, 1200, 900, ...

Answers

First approach :

The above series can be seen as

1600 , (1600–400) 1200, (1200–300) 900 .

So we see that the values are getting decreased by 400,300 respectively.

Hence the next term in the sequence will be 900–200 = 700.

Other approach could be :

A geometric progression with ratio as 3/4.

1600*(3/4) = 1200

1200*(3/4) = 900

900*(3/4) = 675

Taking the above two approaches in mind,the two possible answers could be 700 or 675

Um- here ya go

The 20th term of the sequence.

1600, 1200, 900, ..., is 6.76.

What is a geometric sequence?

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

Given:

A geometric sequence,

1600, 1200, 900, ...

To find the common ratio:

take the ratio of successive terms

r = The value of the second term / the value of the first term

r = 1200/1600 = 0.75.

The explicit formula of a geometric sequence is,

aₙ=a₁(r)ⁿ⁻¹

aₙ= 1600(0.75)ⁿ⁻¹

a₂₀ = 1600(0.75)¹⁹

a₂₀ = 6.76

Therefore, the 20th term is 6.76.

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A company rents bicycles to customers. The company charges an initial fee
plus an hourly rate. This table shows the total cost to rent a bicycle for
different amounts of time.
Hours
Total Cost
2
$8
6
$20
10
$32
What is the initial fee, in dollars that the company charges to rent a bicycle?

Answers

The hourly rate is $3 a hour with a $2 initial fee.

Help. I’ll give more points and brainiest

Answers

Answer:

18

Step-by-step explanation:

13.5 / 3 = 4.5

so 4 x 4.5 = 16 + 2 = 18

It should be A. 18CM

Use the map shown. Each grid on the map represents 1 city block.
Yoko walks from the library to the mall. How many city blocks does she walk?

Yoko walks ___ blocks.

Answers

Answer:

it is a reflection

the points are 8 units apart

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-Lil G

Answer:

i thinks it 8 blocks!! sorry if im wrong

Find the measurement of angle A.

Answers

Answer:

4) a=35°

Step-by-step explanation:

I can't explain its too complicated

Interest earned: $40, Principal: $400, Time: 2 years. Find the rate.

Answers

Answer:

840

Step-by-step explanation:

40+400×2=840

5 percent per year

400/10=40

40/2=20

400/20=5

5 percent per year

can someone please explain what I have to do​

Answers

Answer:

16.7 cm

Step-by-step explanation:

Area of a triangle = ½*base*height

Area of the shaded region = area of triangle = 100.2 cm³

base = w

height = 12 cm

Plug in the value into the equation:

½*w*12 = 100.2

6w = 100.2

w = 100.2/6

w = 16.7 cm

Which polynomials are prime? Check all that apply.

15x2 + 10x – 9x + 7
20x2 – 12x + 30x – 18
6x3 + 14x2 – 12x – 28
8x3 + 20x2 + 3x + 12
11x4 + 4x2 – 6x2 – 16

Answers

15x2+10x-9x+7
8x3+20x2+3x+12
11x4+4x2-6x2-16
Hope this helps !!

Answer:

A

D

E

Step-by-step explanation:

ANSWER MY QUESTION AND ILL ANSWER YOUR QUESTIONS
Which property of equality is used to solve –9.5 = x/1.5?
CHOICES :
1. distributive
2.subtraction
3.addition
4.multiplication

Answers

Step-by-step explanation:

it is not distributive because distributive is distributing a certain number into parentheses or if you have an exponent that would be distributing. it is also not subtraction. i am really sorry i dont know the full answer but i wanted to help as much as i possibly could i felt sad just scrolling by. i hope it helps you have a 50 50 now so i hope this helps

Answer correctly pls

Answers

All real numbers. All numbers would give you an answer

Answer:

domain is All real numbers greater than 0

GIVING OUT BRAINLIST QUICK! NUMBER 6

Answers

Answer:

40

Step-by-step explanation:

AREA=LW

L₁W₁=40

L₂W₂=160

x(L₁W₁)=L₂W₂

x(L₁W₁)=L₂W₂

x(40)=160

x=40

Indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown.
2x - 4 = 2(x - 2)

Answers

Answer:

Infinitely many solution

Step-by-step explanation:

Simplify

2x - 4 = 2x - 4

Lets see:

if we put 1:

2 - 4 = 2 - 4

-2 = -2

Now lets try another number : 2

4 - 4 = 4 - 4

0 = 0

So we can say that there is more than one solution

this cancels out single solution and no solution

There are infinitely many solutions to the given algebraic expression 2x - 4 = 2(x - 2).

The algebraic expression is an expression that is composed of variables and their arithmetic operations.

From the given parameters

2x - 4 = 2(x - 2)

Open brackets

2x - 4 = 2x - 4

Since we are having the same algebraic expression on both sides;

Then, we won't be able to get exactly one solution but an infinite number of solutions.

This is because any number that is being substituted for the value of x will always give a different solution.

Learn more about algebraic expression here:

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I need help pls pls pls pls

Answers

Answer:

9(w+8)  factor 9

Step-by-step explanation:

factor expression

9w+72  divide both side by 9

9/9w+72/9

w+8

Answer:

9 (w + 8)

I'm sorry I can't explain it but here's the answer

help me please with math​

Answers

Answer: There is no question

Can you please show the question?

Step-by-step explanation:

Where's the question I can't see the question

help meeeee plsssssss

Answers

Answer:

5.5

Step-by-step explanation:

b/c u see if the first triangle that it is same on both side so that mean ur tiny trapezoids would be 5.5 and also their congruent  

2 to the 2015 power plss helpp

Answers

Answer:

2015 * 2015= 4,060,225

Therefore, 2015×2015=4060225.

Answer: 4060225

Fill in the blanks to make the equation true. 9 4× 1= 9 4× = 45 20

Answers

Answer:

9/4× 1= 9/4× = 45/20

Step-by-step explanation:

11) Ron paid x dollars for a pair of jeans. Tim bought the same pair of jeans for
half the price as Ron. If they paid a total of $45 for the 2 pairs, how much did
each spend on their jeans?
PLEASE HELP 20 POINTS!!

Answers

Answer:

Ron paid $ 30 for his pair of jeans, while Tim paid $ 15 for the same model of jeans.

Step-by-step explanation:

Given that Ron paid X dollars for a pair of jeans, and Tim bought the same pair of jeans for half the price as Ron, if they paid a total of $ 45 for the 2 pairs, to determine how much did each spend on their jeans you must perform the following calculation:

X + 1 / 2X = 45

1X + 0.5X = 45

1.5X = 45

X = 45 / 1.5

X = 30

So Ron paid $ 30 for his pair of jeans, while Tim paid $ 15 for the same model of jeans.

HELPPPP plssssss pls

Answers

Answer:

9. representative because she samples a small group of people to gather representative data for a larger group

10. biased because hes asking people their favorite (opinionated word) sport at a sports game. people at that game most likely are there because it is their favorite

11. 9 students

12. median = 11

evaluate the following expression log^6 8. round your answer to two decimal places
A.0.90
B.1.16
C.2.08
D.0.86

Answers

Answer:

B. 1.16

Step-by-step explanation:

Correct!

The following expression [tex]log^6 8[/tex] evaluates to 0.86. So, The correct  answer is 0.86.

We can evaluate the expression log^6 8 as follows:

[tex]log^6 8 = log 8 / log 6 = 0.90309...[/tex] which rounds to 0.86 to two decimal places.

Therefore, the correct answer is D.

Logs:

The exponential function's inverse is known as the logarithm, or log. In other terms, a number's logarithm is the power that a different number, b, must be raised to in order to equal that number.

The expression log x = b represents a logarithm and is symbolized by the symbol "log". This implies that b is equivalent to x when raised to the power of log b.

For instance, since 2 raised to the power of 3 is 8, the logarithm of 8 to the base 2 is 3.

Calculus, statistics, computer science, and other branches of mathematics all make use of logarithms. Numerous more practical uses include determining pH levels and decibel levels.

To know more about expression:

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Someone pls help me with question 2

Answers

Answer:

8

Step-by-step explanation:

13 x 1 2/3 = 7.8

7.8 rounds up to 8

Hope this helps :)

How would you factor this 2x^3 + x^2 + 5x + 6. The factored form should not have any radicals or imaginary numbers.

Answers

Answer:

(x+1)(2x2−x+6)

Step-by-step explanation:

A boat travels 500 miles in 29
hours (with a constant speed).
How far can it travel in 13 hours
(with the same speed)?

Answers

The boats going at a speed of about 17
So in 13 hours it would have gone 221miles

Help please help please

Answers

Answer: 20x

expalnation: Not sure about the second one  but the first problem is a trick problem your finding the mean. but it already brought the equation down to 1 so 20 is the answer  

Find the perimeter of a rhombus with side of 10 m.
perimeter =
m

Answers

Answer:

the perimeter equals 40m

explanation:

P=4a=4 x 10=40m

The perimeter of a rhombus with one side equal to 7mm

Answers

Answer:

28 mm

Step-by-step explanation:

All sides of a rhombus are equal in length and there are 4 sides so do 7 * 4 = 28mm.

Answer:

Perimeter of Rhombus: 28mm

Step-by-step explanation:

If one side of a Rhombus is 7mm, then its perimeter is 28 because all sides of a Rhombus is equal.

=> Perimeter of Rhombus: 7 x 4=> Perimeter of Rhombus: 28mm

Hoped this helped.

what is the approximate diameter of a sphere with a volume 34 cm the third power?​

Answers

Answer:

Diameter = 4cm________________

Step-by-step explanation:

volume = 34cm³

volume = 4/3×π×radius³

34cm³ = 4/3 × 3.14 × radius³

34cm³ = 12.56/3 × radius³

radius³ = 34×3/12.56

radius³ = 8

radius = ³√8

radius = 2cm

diameter = 2×radius

= 2×2

= 4cm

________________

FOLLOW ME PLEASE

Breanna bought new hiking boots priced at $120 and sales tax is 8%. What is the total cost of the boots after tax?
First, change the percentage to a decimal and find the sales tax amount.

120⋅0.08=$9.60
Now, add the sales tax amount to the original price.

120+9.60=$129.60
The final cost after tax is $129.60.

Answers

120$ 100%
X$ 108%
X=120•108/100
X=129.60$

Please help!!!!! I need this now

Answers

Answer: 1196 cm³

Step-by-step explanation:

Volume of the rectangular prism: 12 x 20 x 5 = 1200 cm³

Volume of the eraser: 4 x 2 x 0.5 = 4 cm³

Therefore volume not occupied = Rectangular prism volume - eraser volume

1200 - 4 = 1196 cm³

Answer:

1196

Step-by-step explanation:

4 * 2 * 0.5 = 4

12 * 20 * 5 = 1200

1200 - 4 = 1196

PLS PLS PLS PLS PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

I wont give you the answers, but i will show you how

Step-by-step explanation:

add all the numbers together and then when you want to find a probability make them fractions

for example:

P(blue eyes): 12/80

then simplify the fractions

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