Find the second term of the binomial expansion (a-1)^3

Answers

Answer 1

Answer:

[tex](a - 1) ^{3} \\ {a}^{3} - {1}^{3} \\ a {}^{3 } - 1[/tex]


Related Questions

Evaluate the following expression

53 =

Answers

Hey there!


Assuming you meant:

5^3


IF SO, LETS SOLVE FOR IT!


5^3

= 5 * 5 * 5

= 25 * 5

= 25 + 25 + 25 + 25 + 25

= 50 + 50 + 25

= 100 + 25

= 125


Therefore, your answer is mostly likely:

125


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A metal statue weighs 9.25 pounds 90% of the statue is made of silver how many pounds of silver are in the statue

Answers

Answer:

8.325 pounds

Step-by-step explanation:

Step 1: Multiply 90 by 0.0925.

[tex]90*0.0925[/tex] [tex]8.325[/tex] 8.325 lb

Therefore, 8.325 pounds of silver are in the statue.

Create an equation using the table of values below.

Answers

Answer:

1.  y = 2x - 1

Step-by-step explanation:

See attached image.

Over which interval is the graph of the parent absolute value function decreasing?.

Answers

The graph of the parent absolute value function decreases over (–∞, 0) interval.

What is the parent absolute value function?

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

Recall that the absolute value of a number is its distance from 0 on the number line.

The absolute value function is f(x) = |x| is defined as,

[tex]\rm f(x)= x \ if\ x > 0\\\\f(x)= 0 \ if\ x=0\\\\ f(x)=- x \ if\ x < 0\\[/tex]

Observe that the graph is V-shaped.

The vertex of the graph is (0,0).The axis of symmetry (x =0 or y-axis) is the line that divides the graph into two congruent halves.The domain is the set of all real numbers.The range is the set of all real numbers greater than or equal to 0. That is y ≥0.The x-intercept and the y-intercept are both 0.

Hence, the graph of the parent absolute value function decreases over (–∞, 0) interval.

To know more about the Absolute function click the link given below.

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PLEASE HELP ASAP DUE TODAY PLEASE 15 POINTS ​

Answers

A. - incorrect, we can see that Jack need add 1 more layer on picture

B. - correct. 8×2=16

C. - correct. cube's side is 1 centimeter, 1×8=8

D. - incorrect, we can see that box is 2 centimeters high

E. - correct

[tex]\text{volume}=\text{1st side}\times\text{2nd side}\times \text{height}\\\text{1st side}=2\\\text{2st side}=8\\\text{height}=2\\\text{volume}=2\times2\times8=32 cm^3[/tex]

F - incorrect, i counted volume in E

Answer: BCE

Sorry if i have mistakes in text, i'm from russia tho

Celia has some cakes.
2/3
of the cakes are chocolate cake and
6/7
of the remaining cakes are cheesecakes. The rest of the cakes are carrot cakes.
What fraction of the cakes are carrot cakes?
Leave your answer as a fraction in the simplest form.

Answers

The carrot cakes are the fraction of the cake given by [tex]1 - \frac{6}{7}[/tex] multiplied by [tex]\frac{1}{3}[/tex]

The fraction of the cakes that are carrot cakes is [tex]\underline {\dfrac{1}{21}}[/tex]

How are the cakes evaluated as fractions?

The fraction of the cake that are chocolate cake = [tex]\dfrac{2}{3}[/tex]

The fraction of the remaining cake that cheesecakes = [tex]\dfrac{6}{7}[/tex]

The rest of the cakes = carrot cakes

Required:

The fraction of the cake that  are carrot cakes

Solution:

The fraction of the cakes that are not chocolate cake = [tex]1 - \dfrac{2}{3} = \mathbf{ \dfrac{1}{3}}[/tex]

The fraction of the remaining cakes that are cheesecake = [tex]\dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{ \dfrac{6}{21}}[/tex]

The fraction of the cake that are carrot cake = [tex]\dfrac{1}{3} - \dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{\dfrac{1}{21}}[/tex]

The fraction of the cakes that are carrot cake is [tex]\underline{\dfrac{1}{21}}[/tex]

Learn more about fractions here:

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Students can choose water, milk, or juice for lunch. The graph shows student drink choices from yesterday's lunch. What is the experimental probability that a student will choose juice for lunch?

a. 20%
b. 13%
c. 70%
d. 60% ​

Answers

Answer:

for me its b.

Step-by-step explanation:

because its up to 5% to 12%

Pls help (giving brainliest to first answer)

Answers

Answer:

(0, -7) and (5, 0)

Step-by-step explanation:

y-intercept is when x = 0, therefore (0, -7)

x-intercept is when y = 0, therefore (5, 0)

Answer:

X intercept: (5,0) Y intercept: (0,-7)

Step-by-step explanation:

So you want to look at where you have an x value (input) and it's output (y) is 0 for x intercept, and you want to look at the y value (output) and it's input (x) to be 0 for the y intercept, so on the left we see that 5 = 0, and on the right we see that -7 = 0, and then write them as is, so (5,0) and (0,-7)

Hope that made sense and this helps!

please please please help

Answers

Answer:

32

4 cups

Step-by-step explanation:

Answer:

ratio

Step-by-step explanation:

0 to 100

i dont know the second one srry

helpppppp pleaseeeeeee​

Answers

I think it would be b because you can just see how the scent wcw is

Find Theta in degrees. WILL MARK BRAINLIEST I PROMISE<3333

Answers

Answer:

[tex]sin \alpha = \frac{opposite}{hypotenuse} \\ sin \alpha = \frac{8}{17} \\ sin \alpha = 0.470588235294117 \\ \alpha = {sin}^{ - 1} (0.470588235294117) \\ \alpha = 28.07 \: degrees[/tex]

PLEASE HELP: find the minimum and maximum values for the function with the given domain interval

Answers

Answer:

I think that it's the third one.

Step-by-step explanation:

Answer:

minimum value = 0.001

maximum value = 10

Step-by-step explanation:

To find the minimum and maximum values for the function, substitute the endpoints of the domain into the function:

when x = -3:

[tex]\implies k(-3)=10^{-3}=0.001[/tex]

when x = 1:

[tex]\implies k(1)=10^{1}=10[/tex]

Therefore,

minimum value = 0.001

maximum value = 10

someone help me with this please ​

Answers

13.22, but the whole in decimals is. 13.22875655, hope it helps and im sorry if its incorrect!

Ricky is taking out a personal loan for $12,000 to remodel his kitchen. He would like the lowest monthly payment possible, even if it means a bigger finance charge in the end. His bank has offered him a loan at 13% interest for 36 months or 12% interest for 60 months, both of which are compounded monthly. Which of the following statements most accurately describes what Ricky should be thinking?
a.
More payments with the 60 month loan will give him the lowest monthly payment.
b.
Fewer payments with the 36 month loan will give him the lowest monthly payment.
c.
The 60 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.
d.
The 36 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

the correct answer is: a. More payments with the 60 month loan will give him the lowest monthly payment.

Step-by-step explanation:

Hope this help :) LMK

Fewer payments with the 36 monthly loan will give him the lowest monthly payment.

Option B is the correct answer.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P (1 + r/n)^{nt}

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Ricky should choose the 36-month loan at 13% interest, which has a higher interest rate but a shorter repayment period.

This means that he will have fewer payments to make, which will result in a lower monthly payment.

The 60-month loan may have a lower interest rate, but the longer repayment period will result in a larger finance charge and a higher monthly payment.

Thus,

Fewer payments with the 36 monthly loan will give him the lowest monthly payment.

Learn more about compound interest here:

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what is the 43rd term for 260,255,250

Answers

Answer:

43rd term = 50

Step-by-step explanation:

[tex]43rd \: term = 50[/tex]

The required 43rd term will be 50 in the given arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The arithmetic sequence is given in the question as:

260, 255, 250...

This above sequence has:

The first number a₁ = 260

Common difference d = 255 - 260 = -5

The formula to find the general term of an arithmetic sequence is,

Tₙ = a₁ + (n-1)d ...(i)

Substitute the value of d = -5 and a₁ = 260 in the above formula

43rd term = 260 + (43-1)(-5)

43rd term = 260 - 42(5)

43rd term = 260 - 210

43rd term = 50

Therefore, the required 43rd term will be 50.

Learn more about arithmetic sequence here:

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(5x2 + 23x - 7) - (x2 - 4x + 21) is equivalent to expression​

Answers

4x² - 27x - 28 is the answer

Step-by-step explanation:

As per question,

(5x² + 23x - 7) - (x² - 4x + 21)

Removing the parentheses,

→ 5x² + 23x - 7 - x² + 4x - 21)

Now reorder and gather the like terms,

→ (5x² - x²) + (23x + 4x) + ( -7-21 )

Collecting the coefficients of like terms,

→ (5-1)x² - (23+4)x + ( -7-21 )

Calculating them now, we get,

4x² - 27x - 28

So, (5x² + 23x - 7) - (x² - 4x + 21) = 4x² - 27x - 28

Help me pls

1. In a two-digit number, the sun of the two digits is 10. If the two digits are reversed, the original number is less than the new number by 36. Find the original number.

2. In a two-digit number, twice the tens digit is less than the units digit by 3. If the two digits are reversed, the new number is greater than twice the original number by 18. Find the original number

Answers

1) The pairs of numbers are:

19 and 91, which do not satisfy the condition

28 and 82, which do not satisfy the condition

37 and 73, which satisfy the condition

45 and 54, which do not satisfy the condition

The number is 37.

Another method:

10x+y+36 = 10y+x, or

9x+36 = 9y, or

x+4= y …(1)

x+y = 10, or

y = 10-x …(2)

Equate (1) and (2)

x+4 = 10-x

2x = 10–4 = 6, or x = 3 so y = 10–3 = 7.

So the number is 37

( Sorry I can answer number 1 i'm in a rush and I don't really use my brain it's useful but also not. I hope someone answer your question number 2 'ᴗ' Good luck! I also hope my answer is useful. )

Complete the table to determine the cost assigned to ending inventory and cost of goods sold using specific identification

Answers

The ending inventory that van be gotten from the table will be $9905 and the cost of goods sold is $5083.

What is ending inventory?

It should be noted that the ending inventory simply means the goods that are still available for sale at the end of an accounting period.

From the complete question, the ending inventory will be:

= $3190 + $2295 + $4420

= $9905

Also, the cost of goods sold will be:

= $2465 + $473 + $2145

= $5083

Learn more about inventory on:

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A robot can complete 7 tasks in
2
3 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one​ task?
b. How many tasks can the robot complete in one​ hour?

Answers

the answer is fourteen (14)

How do i solve this???

Answers

………………………………………………………

Could i get some help here please?

Answers

Answer:

22+4x=90

x=17

Step-by-step explanation:

From the picture, we can see that the two angles form a right angle.

The equation will be 22+4x=90

Then use that equation to solve for x.

4x=68

x=17

Not sure but here’s how i would solve it
4x +22 = 90
So we want the x only so you will subtract 22 on both sides
So you’ll have 4x= 68
Then you will divide the 4 on both sides
So you got 4x/4 = 68/4
So finally the x = 17

I am learning ratio and proportion

Answers

The answer to your question is (B) hope that helps :)

Answer:

Unit Quantity is the answer

Find the area of the shaded region

Answers

Answer:

The shaded area is 35

Step-by-step explanation:

Big rectangle area: 7 * 10 = 70

Small rectangle area: 5 * 7 = 35

Difference: 35

Match the terms to their definition.

1. a mathematical expression containing one or more variables
substitution
2. to find the numerical value of
evaluate
3. replacing its quantity with its equal
algebraic expression
4. a letter or symbol used to represent an unknown
variable

Answers

3. constant - D. a numerical value

2. coefficient - A. the constant preceding the variables in a product

4. expression -E. a mathematical phrase....

5. variable - B. a letter... representing an unkown

1. algebraic expression - C. a mathematical expression...

Question shown below within image.

Answers

Answer:

m∠x = 119°

m∠y = 61°

m∠z = 119°

Step-by-step explanation:

Angle x:

m∠x = 180° - 61°       (sum of angles in a straight line)m∠x = 119°

Angle y:

m∠y = 61°                   (Alternate interior angles)

Angle z:

m∠z = 119°               (Sum of angles in a line, corresponding angles)

-Chetan K

………….. need help filling out

Answers

Answer:

dilation is size

Step-by-step explanation:

Pamela drove her car 999999 kilometers and used 999 liters of fuel. She wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis she can drive with 121212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.
How many kilometers can Pamela drive with 121212 liters of fuel?

Answers

Answer: you made this up there is no answer

Step-by-step explanation:

Answer:

k 90

Step-by-step explanation:

you just get the two factorial numbers

Business A charter bus service charges a $125 transportation fee plus
$8.50 per passenger. This is represented by the function c = 8.5p + 125,
where c is the total cost based on p passengers. What is the total cost of
transportation for the following numbers of passengers: 50, 100, 150, 200,
and 250?
Life Science Tyrannosaurus rer was one of the largest
non

Answers

Answer:

550, 975, 1400, 1825, and 2250

Step-by-step explanation:

Help guysss does anyone know the answer to this ?

Answers

I only got the answer for 2. My apologies, the simplified version of this equation is 2+9+5

Answer:

Step-by-step explanation:

1) Amir’s mistakes:

On the second layer, he hadn’t substrated k from 3k => 3+5+9p is wrong;

On the last layer, he added 8 with 9p which is incorrect,he can’t get 17p by adding them.


2)3k+5-k+9p

3k-k+5+9p

2k+5+9p

please help ASAPPPP SOMEONE :(

Answers

Answer:

rip

Step-by-step explanation:

Other Questions
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He had never before thought it curious.Effie stood holding her handkerchief to her eye, and said: "I don't believe it's out." People always say this when they have had something in their eyes."Oh, yesit's out," said the doctor. "Here it is, on the brush. This is very interesting."Effie had never heard her father say that about anything that she had any share in. She said: "What?"The doctor carried the brush very carefully across the room, and held the point of it under his microscopethen he twisted the brass screws of the microscope, and looked through the top with one eye."Dear me," he said. "Dear, dear me! Four well-developed limbs; a long caudal appendage; five toes, unequal in lengths, almost like one of the Lacertidae, yet there are traces of wings." The creature under his eye wriggled a little in the castor oil, and he went on: "Yes; a bat-like wing. A new specimen, undoubtedly. Effie, run round to the professor and ask him to be kind enough to step in for a few minutes.""You might give me sixpence, Daddy," said Effie, "because I did bring you the new specimen. I took great care of it inside my eye, and my eye does hurt."The doctor was so pleased with the new specimen that he gave Effie a shilling, and presently the professor stepped round. He stayed to lunch, and he and the doctor quarreled very happily all the afternoon about the name and the family of the thing that had come out of Effie's eye.But at teatime another thing happened. Effie's brother Harry fished something out of his tea, which he thought at first was an earwig. He was just getting ready to drop it on the floor, and end its life in the usual way, when it shook itself in the spoonspread two wet wings, and flopped onto the tablecloth. There it sat, stroking itself with its feet and stretching its wings, and Harry said: "Why, it's a tiny newt!"The professor leaned forward before the doctor could say a word. "I'll give you half a crown for it, Harry, my lad," he said, speaking very fast; and then he picked it up carefully on his handkerchief."It is a new specimen," he said, "and finer than yours, Doctor."It was a tiny lizard, about half an inch longwith scales and wings.So now the doctor and the professor each had a specimen, and they were both very pleased. But before long these specimens began to seem less valuable. For the next morning, when the knife-boy was cleaning the doctor's boots, he suddenly dropped the brushes and the boot and the blacking, and screamed out that he was burnt.And from inside the boot came crawling a lizard as big as a kitten, with large, shiny wings."Why," said Effie, "I know what it is. It is a dragon like the one St. George killed."And Effie was right. 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