What are the next two terms in the sequence 1, 8, 27, 64..., written as coordinate pairs (n,
an)?
A) (5, 75), (6,86)
B) (5, 81), (6,100)
C)(5, 125), (6, 216)
D) (125, 5), (216, 6)

Answers

Answer 1

Answer:

C)(5, 125), (6, 216)

Step-by-step explanation:

Well firstly, there's no actual way to know. There could be anything there, as for any n pairs (x, y) with distinct x-s, there exists a (n-1 or less)-degree polynomial that models them perfectly, and infinitely many polynomials of degree n (or more).

If we input those terms to a polynomial interpolator, we'll get an answer every time.

With this one, it will be the right answer though!

But to be serious, let's find out what the numbers are. We can notice they're all cubic numbers.

There's 1, which is 1^3, then theres 2^3, then it's 3^3, then 4^3.

It's reasonable to expect that we are expected to assume (x, x^3) is the rule.

We can see that the answer C (5, 5^3), (6, 6^3) fits this narrative.


Related Questions

Get this answer correct u get a brainleist

That is the volume of a basketball
if u look it up u dont get it

Answers

Answer:

Imma guess around 350 cubic inches

Step-by-step explanation:

I'm just going off of my hand compared to my basketball

Answer:

About 433.526 inches^3

Step-by-step explanation:

Goal: Calculate the volume of a Basketball as accurately as possible. Objective 1: Calculate the volume of a basketball.

Step One: Find the radius of the basket ball inflated at 8 PSI. To do this we used a string to measure the circumference of the basket ball arriving at a measurement of 29 inches. Next we inserted that number into the formula C = 2πR where C= circumference and R= Radius. We found that where C= 29inches, R= 4.615 inches.

Solve with Volume of a ball or sphere = 4/3*pi*radius

Freddy swims at the community center each week. He wonders about the area of
the pool. He thinks he cannot figure it out because the pool is not rectangular. Can
you figure out the area of the swimming pool at Freddy's community center?

Answers

Answer:

Yes you can.

Step-by-step explanation:

Multiply length x width.

Other:

If you want me to find the exact answer, it is not currently possible as you haven't given me any dimensions.

Simple A= Pi r 2. You can also use a graph.

Need help with full work quick

Answers

Answer:

Step-by-step explanation:

36x^3 - 81x

9x(4x^2 - 9)

9x(2x - 3)(2x + 3)

She is right

A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8.

Required:
What represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants?

Answers

Answer:

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Step-by-step explanation:

Very clear deck :

n1 = 38

x1 = 89.2

s1 = 3.1

Sure seal

n2 = 37

x2 = 92.4

s2 = 3.8

Confidence interval for difference in sample means :

(X1 - X2) ± margin of error

(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))

Using the degree of freedom calculator ; df = 70

Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))

Tcritical at 90% confidence interval, df = 70 = 1.688

Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)

Confidence interval :

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Which of the following shows the correct first step to solve x^2-16x=-21 by completing the square? I'll give brainiest ASAP
`

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The perfect square of the given expression can be created by adding 36 to the expression, then the expression will reduce to,

(x-6)² = x² - 12x + 36

Hence, the correct option is C.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

please help no links please.

Answers

Answer:

I think it's A, if you just subtract 25 from each top # you should get the right one

edit; yah it's A

Answer:

B is the correct answer

Step-by-step explanation:

Look at the graph. For every day, there should be 25 less containers of peanuts than popcorns. Let X represent popcorns. Everyday, X - 25 should be your amount of peanut containers.

Only A and B works, so now just add the total amount of containers for both peanuts and popcorns.

225 + 200 + 150 + 300 + 200 + 175 + 125 + 275 = 1650

Only B matches the description of 1650 total containers. So, B is your answer.

Last one!!!hdbsjsbsjdsnsjsn​

Answers

Answer:

Option c is correct

Step-by-step explanation:

Hope it helps

Answer:

9.4

3rd option

The boats are 9.4 units apart.

pleaseeeeee help me out quickkk solve for x

Answers

Answer:

x = 27.2

Step-by-step explanation:

Apply trigonometric function to solve for x.

Reference angle = 54°

Side length opposite to reference angle = 22

Hypotenuse = x

We would apply SOH:

Sin 54 = Opp/Hyp

Sin 54 = 22/x

x*sin 54 = 22

x = 22/sin 54

x = 27.1934955 ≈ 27.2 (nearest tenth)

Zach wants to paint the top of the table shown. What is the approximate area that he will paint? Use 3.14 for pi Round to the nearest whole number of inches.

Answers

Answer:

≈4776

Step-by-step explanation:

r=78/2

r=39

A=3.14r^2

A=3.14(39)^2

A=3.14*1521

A≈4776

Hope this helps :)

I need the value of Y

Answers

9514 1404 393

Answer:

  y = 6

Step-by-step explanation:

Let's call the marked angles A, B, C, clockwise from upper left.

Along the vertical transversal, we observe that A+90° and C are alternate exterior angles, so are congruent. This lets us find a value for x.

  A+90 = C

  4x +90 = 11x -8

  98 = 7x

  14 = x

Then angle A is ...

  A = 4x° = 4(14)° = 56°

__

Along the horizontal transversal, we observe that A and B are alternate exterior angles, so are congruent. This lets us find a value for y.

  A = B

  56° = (9y +2)°

  54 = 9y

  6 = y

The value of y is 6.

Y=-4. Y=x-8 solve for substitution

Answers

Point form: (4,-4)
Or x=4, y=-4

Answer:

ok

Step-by-step explanation:

I think

A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down during the warranty period. Suppose an auto store makes a net profit of $20 on batteries that stay trouble-free during the warranty period; it makes a net loss of $10 on batteries that break down. The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.

Required:
a. What is the probability that a battery will break down during the warranty period?
b. What is the expected profit of the auto store on a battery?
c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?

Answers

Answer:

a) 0.1587 = 15.87% probability that a battery will break down during the warranty period.

b) The expected profit of the auto store on a battery is of $15.239.

c) The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.

This means that [tex]\mu = 40, \sigma = 16[/tex]

a. What is the probability that a battery will break down during the warranty period?

Two year warranty, that is, 24 months. This probability is the pvalue of Z when X = 24. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 40}{16}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587.

0.1587 = 15.87% probability that a battery will break down during the warranty period.

b. What is the expected profit of the auto store on a battery?

1 - 0.1587 = 0.8413 probability of a profit of $20.

0.1587 probability of a loss of $10. So

[tex]E = 0.8413*20 - 0.1587*10 = 15.239[/tex]

The expected profit of the auto store on a battery is of $15.239.

c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?

Multiplying the average for a battery by 500. So

15.239*500 = $7,619.50

The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

Can someone please help me?

Answers

Answer:

D

Step-by-step explanation:

This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].

A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
members of the 7th grade class, then how many students can be expected to prefer the zoo?
zoo
MUSEUM
18
SPORTS COMPLEX
10
7TH GRADE
12
8TH GRADE
14
19
7
39
48
120
66

Answers

Answer:

66 students prefer the zoo

Step-by-step explanation:

I got it correct :)

CAN SOMEONE LLEASE HELP ME IM SO LOST!!

Answers

Answer: 1324 in^2

Step-by-step explanation:

What is the surface area of the tent?

Answers

Answer:

i think the answer is 105.96

Plzzzz answer fast..​

Answers

Answer:

A) Yes; AA Similarity

Step-by-step explanation:

Yes; AA Similarity

What do you need to do first to solve this equation? -62 +4= -20

Answers

Answer:

Add -62 and 4

Step-by-step explanation:

Step-by-step explanation:

-62+4=-20

-58=-20

58=20


Tyra's kitchen is 42 m wide and 6.3 m long. She is pasting a decorative border strip that costs $5.95 per meter around the top edge of all the walls. How much will she spend?

Answers

Answer:

$124.95

Step-by-step explanation:

The length of the strip is equal to perimeter of the kitchen.

P = 2(4.2 + 6.3) = 21 m

Cost of the strip is:

21*$5.95 = $124.95

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

∠GHJ and ∠FEC

Step-by-step explanation:

Alternate exterior angles are two angles that lie on the outer part of the parallel lines but on different sides.

∠GHJ and ∠FEC lie on the outer parts of the parallel lines, but different sides.

∠GHJ is on the lower left side.

∠FEC is on the upper right side.

Madison was given a large box of 48 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?

Answers

Answer:

The answer is 23 chocolates

Step-by-step explanation:

You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23

solve each system by eliminating one of the variables by addition or
subtraction.

Answers

Answer:

1) x- y = 8

x + y = 12

eliminate one variable by adding the equations

2x = 20

divided by 2 on both sides

x = 10

substitute the value of x in the equation 1

10 - y = 8

-y = 8- 10

y =2

[x , y]

[10 , 2]

2) 2x - y = 4

3x + y = 6

eliminate one variable by adding the equations

5x = 10

x = 2

substitute the value of x in the equation

2(2) - y = 4

4 - y = 4

y = 0

[x ; y]

[2; 0]

3) x + 2y = 10

x + 4y = 14

multiply equation 1 by - 1

-x -2y = -10

x + 4y = 14

eliminate one variable by adding the equations

2 y = 4

y = 2

substitute the value of y in the equation 1

x + 2(2) = 10

x + 4 = 10

x = 6

[x ; y]

[6 ; 2]

4 ) 3x + y = 9

y = 3x + 6

simplify the expression

3x + y = 9

- 3x + y = 6

eliminate one variable by adding the equations

2y = 15

y = 15/2

substitute the value of y in equation 1

3x + 15/ 2 = 9

3x = 3/2

x = 1/2

[x ; y]

[1/2 ; 15/ 2]

5) 4x + 5y = 15

6x - 5y = 18

eliminate one variable by adding the equations

10 x = 33

× = 33/10

substitute the value of x in equation I

4 (33/10) + 5y = 15

66/5 + 5y =15

5y = 9/5

y = 9/25

[x ; y]

[33/10 ; 9/25]

6) 5x = 7y

x + 7y = 21

in equation I move the variable to the left

5x - 7y = 0

x + 7 y = 21

eliminate one variable by adding the equations

6x = 21

x = 7/2

substitute the value of x in the equation

5(7/2) = 7y

35/2 = 7y

5/2 = y

[x ; y ]

[7/2 ; 5/2 ]

The Lemonade War is a book with 14 chapters. Each chapter
represents a
of the book. *
quarter
half
fraction
O third

Answers

fraction is 1/14 of the book

Given f (x) = x + 1 and g(x) = x2, what is (gof)(x)?

Answers

Answer:

(gof)(x) = x² + 2x + 1

Step-by-step explanation:

You can solve this by plugging  f into g and finding the result:

(gof)(x) = f(x)²

= (x + 1)²

= x² + 2x + 1

Help please thanks!!!

Answers

you already have the right Answer which is b

Answer:

Four tenths

Step-by-step explanation:

You are correct. The dot is on 0.4. the 4 is in the tenths place, so four tenths.

Leo buys a new car for $17,600. The simple interest rate is 8.4% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?

Round your answer to the nearest dollar and do not round until the final answer.

Answers

Answer:

$24,992

Step-by-step explanation:

The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.

I = (17,600)(0.084)(5)

I = 7,392

The total amount that must be repaid is the interest + the principal:

7,392 + 17,600 = 24,992

Please let me know if you have questions

At the beginning of January of the current year, Thomas Law Center's ledger reflected a normal balance of $55,000 for accounts receivable. During January, the company collected $17,800 from customers on account and provided additional services to customers on account totaling $14,000. Additionally, during January one customer paid Thomas $6,500 for services to be provided in the future. At the end of January, the balance in the accounts receivable account should be:

Answers

The accounts receivable balance should be $44,700 which is calculated by starting with the current balance of $52,000, subtracting the $14,800 in collections (which lowers the balance), adding the $12,500 of additional debt (which raises the balance), then finally subtracting $5,000 for the money collected on a future debt.

look at pic 10 pts will mark brainilest

Answers

Answer:

C) It will not change

Hope this helps! :)

Solve the inequality. m/-5 < or = 4

Answers

Answer:

M < or = -20

Step-by-step explanation:

Brainlist please

which of the following is equal to the rational expression?

Answers

Answer:

d

Step-by-step explanation:

please mark as brainliest if correct

thank you

have a great day/night

:)

The correct answer is D. Please mark brainliest
Other Questions
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