Binomial expansion
(x+3)^3

Answers

Answer 1

Answer:

x ^3 + 9 x^ 2 + 27 x + 27

Step-by-step explanation:

Answer 2

Answer:

x+9

Step-by-step explanation:

square the 3 and keep the x


Related Questions

Find the midpoint of AB if A(-3. 8) and B(-7. -6)

Answers

The midpoint of AB is (-5, 1).

To find the midpoint of a line segment AB, we average the x-coordinates of the two endpoints and the y-coordinates of the two endpoints.

Given that A has coordinates (-3, 8) and B has coordinates (-7, -6), we calculate the midpoint as follows:

x-coordinate of midpoint = (x-coordinate of A + x-coordinate of B) / 2

                     = (-3 + -7) / 2

                     = -10 / 2

                     = -5

y-coordinate of midpoint = (y-coordinate of A + y-coordinate of B) / 2

                     = (8 + -6) / 2

                     = 2 / 2

                     = 1

Therefore, the midpoint of AB is (-5, 1), where -5 is the x-coordinate and 1 is the y-coordinate. This means that the midpoint is equidistant from points A and B, dividing the line segment AB into two equal parts.

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Slope from 3,8 4,2 I WILL MARK BRAINLIEST

Answers

Answer:

what about it

Step-by-step explanation:

Answer:

[0,9] [8,6] [-2,-4] [-8,-5] [1,2] [3,4]

Step-by-step explanation:

Given m || n, find the value of x

Answers

Answer:

if m and n are parallel then the value of x is 11

what is 24/30 written as a decimal

Answers

Answer:0.8

Step-by-step explanation:To write 24/30 as a decimal you have to divide numerator by the denominator of the fraction. We divide now 24 by 30 what we write down as 24/30

Answer:

First off, we'll interpret the fraction bar to mean "divided by." This means that 24/30 is the same as 24 divided by 30. Second, you have requested to see 3 decimal places in your answer, so we'll write the 24 as 24.000 instead (a 24 with 3 zeros after the decimal point

Your bank account has a balance of −$12. You deposit $60. What is your new balance?

Your new balance is $
.

Answers

Answer:

Your balance will be 48

Step-by-step explanation:

If you have -12 add 60 that will equal 48

9a+ – 3+10+6–6
simplify expression

Answers

Answer:

9a+7

Step-by-step explanation:

Does anyone know how to do this?

Answers

Answer:

There are no values of y that make the inequality true.

There is No Solution.

Which number is divisibly by both 3 and 4?
A. 101,444
B. 112,436
C. 118,764
D. 118,422

Answers

Answer:

C  118,764

Step-by-step explanation:

118764/12=9897

3*4=12 which is why I divided it by 12.

C

118764

Hope this helps have a nice dayyyyyyyy

14/27 divided by 2/3 soo can someone help me and maybe give me the answer

Answers

Answer: 9/7

Step-by-step explanation:

If Fred can type 600 words in 12 minutes, how many words can Fred type in 1 minutes?

Answers

Answer:

600/12=50 words in 1 minute

Step-by-step explanation:

easy

600/12 = 50 words in 1 min

Consider the table. -4 -2 0 2 4 9 6 0 3 Determine the slope of the linear function described by the table. ​

Answers

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

First we need two points of the table :

I choose a = ( 0 , 3 ) and b = ( 2 , 0 ) .

_________________________________

Step (2)

To find the slope of linear functions using two points, we use the following equation :

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

Where a and b are two points of the function.

_________________________________

Step (3)

Now just need to put the coordinates of the points which we chose.

a = ( 0 , 3 ) °•°•°•°•°•°•° b = ( 2 , 0 )

[tex]slope = \frac{0 - 3}{2 - 0} \\ [/tex]

[tex]slope = - \frac{3}{2} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

What is the solution to this equation:
X+7=-8


Answers

Answer:

[tex]\boxed {x = -15}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x + 7 = -8[/tex]

-Subtract both sides by [tex]7[/tex]:

[tex]x + 7 - 7 = -8 - 7[/tex]

[tex]\boxed {x = -15}[/tex]

So, the value of [tex]x[/tex] is [tex]-15[/tex].

Help pleaseeeeekwkwkwksksksksksks

Answers

Answer: D

Step-by-step explanation:

it equals 15/12

Answer:

The answer is d :)

Step-by-step explanation:

5 + 4 + 3 + 2 +1 = 15

so D would equal 15/12

7(1 - y) = -3(y-2)
What is the answer

Answers

Answer:

[tex] \huge y = \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]7(1 - y) = -3(y-2)[/tex]

Expand the terms in the bracket

That's

[tex]7 - 7y = - 3y + 6[/tex]

Add 3y to both sides of the equation

[tex]7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6[/tex]

Subtract 7 from both sides by the equation

[tex]7 - 7 - 4y = 6 - 7 \\ - 4y = - 1[/tex]

Divide both sides by - 4

[tex] \frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\ [/tex]

We have the final answer as

[tex]y = \frac{1}{4} \\ [/tex]

Hope this helps you


The ratio of girls getting pickle pop chips to boys getting pickle pop chips is 20 to 11. If the girls
received 40 pickle pop chips, how many were given out altogether?

Answers

Answer:

The answer is 62

Step-by-step explanation:

the ratio given can be written as [tex]\frac{20}{11}[/tex].

first, we need to solve for how many boys received if the girls received 40.

let's write a new ratio to show this.

[tex]\frac{20}{11} = \frac{40}{x}[/tex]

notice how i was able to equal them to each other. this is because they represent the same rate.

to solve for x, cross multiply.

[tex]20x= 440\\[/tex]

now solve.

[tex]x=22[/tex]

the 22 represents how many boys will receive if the girls receive 40.

the question is asking how many will be given out all together. this implies that we should add 40 and 22.

[tex]40+22= 62[/tex]

62 pickle pop chips were given out.

hope this helps!

HELLLPPPP ASAP. Explain how to find the product of 3/8 x 7/9. Use complete sentences in your answer.

Answers

Answer:

7/24

Step-by-step explanation:

you times the numerators together and times the denominators together then you simplify

Divide.
0.123.6
The quotient is
.

Answers

Answer:

0.0205

Step-by-step explanation:

I'm guessing you mean 0.123 ÷ 6

so 0.123 ÷ 6 = 0.0205

Would a step-up transformer or a step-down transformer be used to convert 260 volt AC current from a household input into a 13 volt AC output in a portable electric fan? Determine the ratio of the number of input wire coils to output wire coils on the transformer.​

Answers

Answer:

20:1

Step-by-step explanation:

It is given that,

Input voltage = 260 volt

Output voltage = 13 volt

We need to find the ratio of the number of input wire coils to output wire coils on the transformer.​

For a step-down transformer,

[tex]\dfrac{V_i}{V_o}=\dfrac{N_P}{N_S}\\\\\dfrac{N_P}{N_S}=\dfrac{260}{13}\\\\=\dfrac{20}{1}[/tex]

Hence, the required ratio is 20:1.

Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different ________________. The immune system uses the carbohydrates to _____________________ that your cells belong to ________ and are not ______________________, ____________________, or other foreign cells.

Answers

We have that for the Question, it can be said that

Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different Duties The immune system uses the carbohydrates to detect that your cells belong to you as living and are not  foreign organism or other foreign cells.

From the question we are told

Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different ________________. The immune system uses the carbohydrates to _____________________ that your cells belong to ________ and are not ______________________, ____________________, or other foreign cells.

Generally

Carbohydrates  performs different functions in the body as it provides energy stores energy and so much moreCarbohydrates  performs a unique function to the immune systems as it is used as deduction mechanism.The immune system makes use of ones carbohydrates to identify its cellsAs the body may be exposed to some foreign bodies.And the cells may need to be told apart.

Therefore

The complete statement will be

Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different Duties The immune system uses the carbohydrates to detect that your cells belong to you as living and are not  foreign organism or other foreign cells.

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Rearrange to make x the subject:
y=1/3 x+4

Answers

Answer:

x=3y-12

Step-by-step explanation:

in the photo attached

Y - 4 = 1/3 x
3(y-4) = x

The question is slightly unclear, but this is what I got. Lmk if you want me to explain further or if I am incorrect.

a tank contains 500 litres of water. the water is leaking at a rate of 2 litres per day.
a) how long would it take for half the water to leak out?
Pls explain this and answer and workings

Answers

Answer:

125 days.

Step-by-step explanation:

How many 2 litres are there in 500?

That is 500/2 = 250.

Therefore the number of days to empty the  whole tank is 250 days.

So for half to leak out it's 250/2 = 125 days.

Percentage of the different pets people own Dogs 50% Cats 30% Birds 10% Reptiles 5 % Other Rodents 1% 4% f the total number of homes with a pet is 400, the number of homes with a pet cat is: 120 160 400 30​

Answers

Answer:

I think its 160 sorry if you get It wrong

Answer:

120

Step-by-step explanation:

a drone was flying at an altitude of 500 feet and descended 150 feet.
what is the altitude after the drone descended to its current height?

Answers

Answer:

350 feet

Step-by-step explanation:

the answer is D loll

2(2.5x + 2) - (2x - 1)

Answers

Answer:

[tex]3x+5[/tex]

Step-by-step explanation:

Simplify using the distributive property:

[tex]2*(2.5x)+2*(2)-(2x-1)\\\\5x+4-(2x-1)[/tex]

Simplify parentheses using the distributive property (the negative sign can be seen as -1):

[tex]5x+4-1*(2x)-1*(-1)\\\\5x+4-2x+1[/tex]

Combine like terms:

[tex](5x-2x)+(4+1)\\\\3x+5[/tex]

This cannot be simplified further.

:Done

Allison has worked these times this week:
8:03 am
5:13 pm
7:58 am
4:49 pm
7:46 am
4:41 pm
8:23 am
4:50 pm
7:31 am 4:32 pm
How many hours did she work?
pls help

Answers

Allison worked 44.25 hours in this week

A tree measured 18 feet tall. Over the next 3 1/2 years, it grew to final height of 35 1/2 feet. During those 3 1/2 years, what was the average yearly
Growth rate of the height of the tree

Answers

Answer: it 5 feet/yard

Step-by-step explanation:

The average yearly growth rate the tree is 5 feet per year.

What is rate?

Rate is a measurement to determine the change in one quantity with respect to another quantity.

Given that,

Height of tree = 18 feet

Also, the tree grew in next 3 ¹/₂ years,

Since the tree grew to final height of 35 ¹/₂ or 71/2 feet.

The increased height of the tree = 71/2 - 18 = 35/2

To find the average growth rate of the height of the tree,

Use ratio method,

In 3 ¹/₂ years = 35/2 feet,

In 7/2 years = 35/2 feet,

in 1 year = 5 feet

The average growth rate of the height of the tree is  5 feet per year.

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Which expressions are polynomials?

Select all that apply.

3x+9y
x2+x−4
27x2y−3
1/x+4

Answers

Answer:

i think a, b, and c not the last one

Step-by-step explanation:

i looked up the definition of a polynomial haha

hope this is right and helps <3

The band is selling tickets to their spring show. The auditorium holds 1200 people. What is the reasonable domain for the number of people to attend the show? (Hint: #

Answers

Answer:

don´t ge it sorry

Step-by-step explanation:

Find the 64th term of the arithmetic sequence 2, -3,-8

Answers

Answer:

-313

Step-by-step explanation:

a1=2; d=-5

a64=2-5(64-1)=-313

The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The arithmetic sequence;

⇒ 2 , -3 , -8 ...

Now,

The general equation for nth term of the arithmetic sequence is,

[tex]T_{n} = a + (n - 1) d[/tex]

Where, The term 'a' represent the first term.

And, 'd' represent the difference between each consecutive numbers.

Here, In the arithmetic sequence 2 , -3, -8;

The first term = 2

The difference = -3 - (2) = - 5

So, To find the 64th term of the arithmetic sequence, we can substitute

n = 64 and a = 2 and d = -5 in above formula as;

[tex]T_{n} = a + (n - 1) d[/tex]

[tex]T_{64} = 2 + (64 - 1) (-5)[/tex]

[tex]T_{64} = 2 + (63 * -5)[/tex]

[tex]T_{64} = 2 - 315[/tex]

[tex]T_{64} = -313[/tex]

Thus, The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.

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pls help I'm lost on this​

Answers

Answer:

Correct answer's the top one

Step-by-step explanation:

Think of powers of 10. Each power is 10 times larger or smaller than the last one. So in this instance, the bacterium has a diameter of 10^-6 which is 1 millionth. And then there's the virus, which has a diameter of 10^-7 which is 1 ten millionth. So basically, take 10^-7 and times that by 10. This gives you 10^-6, which can only mean that the bacterium is 10 times bigger than the virus, which is the answer on top.

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