Find the nth term of this quadratic sequence
4, 16, 36, 64, 100, ...

Answers

Answer 1

Answer:

144, 196, 256

Mark me as brainlist, thanks me, and rate!!!

Answer 2
A1 term is 4. Since it was given it was a quadratic, We know it’s at least a*n^2.

First term means that n=1, squaring it gives you 1 and if you divide that into the term, you get 4.

That makes the equation An = 4n^2

Hope this helps!

Related Questions

Which statements about the system are true? Select two options.
y=-x-4
3y-x = -7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.

Answers

The slope for both the line is m= 1/3 and  they are parallel lines , Option B and C are correct two options

The first equation is

 y = (1/3)x-4 and not y = -x-4

(if the equation is not corrected then it will not have two true statements)

What is a System of Equation ?

A system of equation is a set of equation which have a common solution

The given system of equation is

y = (1/3)x-4

3y -x = -7

3y = x-7

As it can seen from the standard equation of a line that

y =mx+c

so slope for both the line is m= 1/3

Therefore they are parallel lines

Thus , Option B and C are correct two options

To know more about System of Equation

https://brainly.com/question/12895249

#SPJ1

the equation 4(x-2)= 1000 is a true equation for a paticular value of x. Explain 2(x-2)=50 is also true for the same value of x

Answers

Answer:

Step-by-step explanation:

Comment

I find the wording a bit confusing. Does the question mean that the laws of algebra determine what single vale of x will make the right side = the left side in both equations?

I think that's the way I will interpret it.

The easiest way to solve both of them is to divide by 4 on both sides of the top equation and divide by 2 on the bottom equation.

Solution

Top equation

4(x - 2) = 1000                                 Divide by 4

4(x-2 )/ 4 = 1000/4          

(x - 2)  = 250                                    Remove the brackets

x - 2 = 250                                       Add 2 to both sides

x - 2 + 2 = 250 + 2                           Combine

x = 252

Bottom equation

2(x - 2) = 50                                      Divide by 2

2(x - 2)/2 = 50/2

(x - 2) = 25                                        Remove the brackets

x - 2 = 25                                          Add 2 to both sides

x - 2 + 2 = 25 + 2                              Combine

x = 27

Conclusion

If the equations are structured the same way but have different numbers then the answers will be unique.

In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants. Calculate the average rate of change (slope) for the number of Burger King restaurants over this time period.

Answers

The average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.

The slope:

[tex]\rm m =\dfrac{16717-12078}{2017-2009}[/tex]

m = 4639/8

m = 579.875

Thus, the average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

Suppose a bag contains a set of 10 tiled letters: M, T, O, A, T, P, J, A, K, A You draw a tile from the bag, and record the letter and leave it on the table. You shake up the bag, and draw another tile out of the bag. Calculate the probability you will select the letter M on the first draw and the Letter T on the second draw?

Answers

Answer:

1/90

Step-by-step explanation:

Comment

To begin with, there are 10 tiles.. You draw one and don't replace it. Then you draw another tile from the 9 that remain.  The job is to figure out the probability of that happening.

You have a 1/10 chance of drawing the M.

But now there are only 9 tiles left and you have a 1 in 9 chance of drawing a T

Solution

P(M,T) = 1/10 * 1/9 = 1 / 90

You have a 1 in 90 chance of getting the two tiles in the order you have specified.

− 11 , − 7 , 7 , − 2 , 16 , 10 , 20 , − 17 , − 10 , − 12 State the median.

Answers

Answer:

-4.5

Step-by-step explanation:

You arrange the numbers from lowest to highest value:

-17, -12, -11, -10, -7, -2, 7, 10, 16, 20

Then you find the one in the middle:

-7, -2

Because there are two in the middle, you add them and divide them by two:

(-7 + -2)/2 = -4.5

Your answer is -4.5.

Step-by-step explanation:

firstly arrange it increasingly

-2,-7,-10,-11,-17, 7,10,16,20

n=9 it is odd so we use (n+1/2 )th formula

9+1/2

10/2=5th

os it is -17

my dad began paying me an allowance when i was in eighth grade. what is the indirect object?

Answers

Answer:

Step-by-step explanation:

The answer would be "me" as the indirect object

Graph A: A horizontal line goes from (1, 0.5) to (2, 0.5). Another horizontal line goes form (2, 0.2) to (7, (0, 2). Graph B: A curve starts at (0, 0), curves up to (1, 1), and then curves down to (2, 0).




Which graph represents a density curve, and why?


graph A only, because the curve is above the horizontal axis, and the area under the curve from 2 to 7 is 1


graph B only, because the curve is above the horizontal axis, and the area under the curve is equal to 1.57


both graph A and graph B, because both curves are above the horizontal axis, and both areas are positive


neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1


Pictures posted below

Answers

Answer: neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1

Step-by-step explanation:

Areas under the graphs:

Graph A

[tex](1)(0.5)+(7-2)(0.2)=1.5\\\\[/tex]

Graph B

[tex]\frac{\pi}{2}(1^{2})=\frac{\pi}{2}[/tex]

As neither of these graphs have an area of 1, neither of them are density curves.

The statement - "neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1" is true.

A few fundamental principles apply to density curves:

A density curve's area beneath it represents probability.A density curve's area under it equals one.Base x height in a uniform density curve equals one.The likelihood that x = a will never occur.The likelihood that x < a is the same as that of x ≤ a.

Neither curve of Graph A nor of Graph B has the area under the curve summed up as 1, though the curve is above the horizontal axis.

Hence, because neither graph has an area of 1, even if both curves are above the horizontal axis, the statement "neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1" is true.

Learn more about density curves here-

brainly.com/question/28001152

#SPJ10

Help me with this please!!!!

Answers

Answer:

3

Step-by-step explanation:

Cardinalities are the number of elements in a set.

(A∩B∩C) is the very middle part of the circle, and there are 3 elements there.

The school play sold $550 in tickets one night. The number of $8 adult tickets was 10 less than twice the number of $5 child tickets. How many tickets were sold for the adults vs the child tickets?

Answers

Answer:

This is my answer↓:

Step-by-step explanation:

He school play sold $550 in tickets one night.

The number of $8 adult tickets was 10 less than twice the number of

$5 child tickets.

How many of each ticket were sold

Let say child ticket sold = x

Adult tickets was 10 less than twice the number of    child tickets.

=> Adult ticket sold = 2x - 10

Child ticket sold = x

$5 child tickets price

=> Revenue = 5x  $

Adult ticket sold = 2x - 10

$8 Adult tickets price

=> Revenue = 8(2x - 10) =16x - 80 $

5x + 16x - 80 = 550

=> 21x = 630

=> x = 30

Child ticket sold = 30

Adult ticket sold = 50

Total ticket sold = 80

Mark as brainlist, thanks me, and rate. Hope it helps!!!

Here is the histogram of a data distribution. All class widths are 1.
SO
4
3
2-
2 3
Which of the following numbers is closest to the mean of this distribution?
A. 2
OB. 3
O C. 10
OD. 5
5 6 7 8 9 10
E. 4

Answers

The correct answer is option B which is 3

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given data:-

4,3,2

The mean will be calculated as:-

Mean = (4 + 3 + 2) / 3

Mean =  9 / 3

Mean = 3

Therefore the correct answer is option B which is 3

To know more about mean follow

https://brainly.com/question/968894

#SPJ1

x^2 - 20x= -2x - 80 what is the intermediate step

Answers

x^2 - 18x = -80 (add 2x to both sides)

(3x + 5y = 7
{ 4x - y = 5

Answers

Answer:

Step-by-step explanation:

Solution by substitution method

3x+5y=7

and 4x-y=5

Suppose,

3x+5y=7→(1)

and 4x-y=5→(2)

Taking equation (2), we have

4x-y=5

⇒y=4x-5→(3)

Putting y=4x-5 in equation (1), we get

3x+5y=7

⇒3x+5(4x-5)=7

⇒3x+20x-25=7

⇒23x-25=7

⇒23x=7+25

⇒23x=32

⇒x=32/23

→(4)

Now, Putting x=32/23

in equation (3), we get

y=4x-5

⇒y=4(32/23)-5

⇒y=(128-115)/23

⇒y=13/23

∴y=13/23   and x=32/23

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.

Answers

Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].

The given coordinates of the given table are (-3,15), (-2,-5), (-1,0), (0,5), and (1,0).

We need to write a valid prediction about the continuous function f(x).

What is the continuous function?

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Now, it is clear from the values of f(x) with respect to x, that the function reaches zero at x = -1, then goes up to 5 at x = 0 and then again reaches zero at x = 1.

So, the value of f(x) remains positive within the interval of [-1,1].

Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].

To learn more about continuous function visit:

https://brainly.com/question/21447009.

#SPJ1

John is 5 years younger than David. Four years later David will be twice as old as John. Find their present age.​

Answers

David will be 10 and John will be 9

Given that a is rational and √2 is irrational and a is not equal to 2, show that. √2-1 is irrational​

Answers

Answer:

Let us assume that √2 is a rational number.

So it can be expressed in the form p/q where p, q are co-prime integers and q≠0

√2 = p/q

Here p and q are coprime numbers and q ≠ 0

Step-by-step explanation:

√2 = p/q

On squaring both the sides we get,

=>2 = (p/q)2

=> 2q2 = p2……………………………..(1)

p2/2 = q2

So 2 divides p and p is a multiple of 2.

⇒ p = 2m

⇒ p² = 4m² ………………………………..(2)

From equations (1) and (2), we get,

2q² = 4m²

⇒ q² = 2m²

⇒ q² is a multiple of 2

⇒ q is a multiple of 2

Hence, p, q have a common factor 2. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number

√2 is an irrational number.

Select all the correct graphs.
Choose the graphs that indicate equations with no solution.

Answers

Answer:

First Graph:  -2x - 1 = 3(^-x)

Last Graph: 2^(-x) + 2 = 5^-x + 3

Step-by-step explanation:

For a system of equations to have a solution set, the graphs that depict them must intersect at one point.

Both graphs #1 and #5 do not intersect, hence graphs #1 and #5 are the only graphs that do not have solutions while the other graphs do.

using Factoring:
Set up an algebraic equation:
An integer is 3 less than 5 times another. If the product of the two integers is 36,
then find the integers.

Answers

Answer:

hjjj gogo fgjvsgjgccvvggggggffffffddsddddfffgv

Which pairs of angles are congruent?

Answers

Answer:

b) angles 1 and 4 are congruent.

Hope it helps!

A formula for the normal systolic blood pressure for a man age A, measured in mmHg, is given as
P = 0.006A2 − 0.02A + 120. Find the age to the nearest year of a man whose normal blood pressure measures 125 mmHg.

Answers

Solving a quadratic equation, the age of the man with a blood pressure of 125 mmHg is of 27 years old.

What is a quadratic function?

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

The pressure is given by:

P = 0.006A² - 0.02A + 120.

When the pressure is of 125 mmHg, we have that:

0.006A² - 0.02A + 120 = 125.

0.006A² - 0.02A - 5 = 0.

Hence the coefficients are a = 0.006, b = -0.02, c = -5, and the solutions, applying the formula are:

A = -30 and A = 27.

Age has to be positive, hence the man is 27 years old.

More can be learned about quadratic functions at https://brainly.com/question/26865936

#SPJ1

If x is a positive integer, what is the value of x for the equation (x!-(x-3)!)\23=1?

I think the first step is knowing (x!-(x-3)!) equals to 23, but after that i'm stuck, can someone help me?

Answers

[tex]\dfrac{x!-(x-3)!}{23}=1\\x!-(x-3)!=23\\(x-3)!((x-2)(x-1)x-1)=23\\(x-3)!((x^3-x^2-2x^2+2x)-1)=23\\(x-3)!((x^3-3x^2+2x)-1)=23[/tex]

23 is a prime number, therefore there are two possibilities:

[tex]\text{I.}\, (x-3)!=1 \wedge x^3-3x^2+2x-1=23[/tex]

or

[tex]\text{II.}\, (x-3)!=23 \wedge x^3-3x^2+2x-1=1[/tex]

[tex]\text{I.}\\(x-3)!=1\\x-3=0 \vee x-3=1\\x=3 \vee x=4[/tex]

Now, we check if any of these solutions is also a solution to the second equation:

[tex]3^3-3\cdot3^2+2\cdot3-1=23\\27-27+6-1-23=0\\ -18=0[/tex]

Therefore, 3 is not a solution.

[tex]4^3-3\cdot4^2+2\cdot4-1=23\\64-48+8-1-23=0\\0=0[/tex]

Therefore, 4 is a solution.

[tex]\text{II.}[/tex]

[tex](x-3)!=23[/tex]

We know that [tex]3!=6[/tex] and [tex]4!=24[/tex], therefore there isn't any [tex]n\in\mathbb{N}[/tex], for which [tex]n!=23[/tex], so there's no solution.

So, the only solution is [tex]x=4[/tex].

If the present value of a growing perpetuity is 214, the required rate of return is 10%, and growth rate is 3%, what is the cash flow in year 1? (Round to the nearest whole number).

Answers

The cash flow in year 1 is $15.

What is the cash flow in year 1?

A growing perpetuity increases continuously and indefinitely.

Cash flow = present value x (rate of return - growth rate)

214 x (10% - 3%)

214 x 0.07 = $15

To learn more about present value, please check: https://brainly.com/question/17322936

#SPJ1

Suppose you are designing a cardboard box that must have a volume of 27 cubic feet. The cost of the cardboard is $0.21 per square foot.

The material in each box will cost $____

Answers

Durians. Dhdjns shekels. Shshnsnas

If A=P+I make the subject as P

Answers

Answer:

[tex]P = A - I[/tex]

Step-by-step explanation:

A = P + I (Given)

[tex]\implies P = A - I[/tex]

1. Which of the following numbers is
rational?
A. 0.78
B. 0.303003000
C. √6
D. 0.3841697

Answers

Answer:

A. 0.78

Step-by-step explanation:

A rational number is a number that you can express as [tex]\frac{x}{y}[/tex] where [tex]y\neq 0[/tex].

express 2.603603603 . . . as a rational number

Answers

Answer:

[tex] \frac{289}{111} [/tex]

Step-by-step explanation:

[tex]2 + \frac{603}{1000 - 1} = 2 \frac{603}{999} = 2 \frac{67}{111} = \frac{289}{111} [/tex]

I need help on questions d and e, not sure how to solve!

Answers

D.

[tex]m(x) = 0 \\ - 3x = 0 \\ x = 0[/tex]

E.

[tex]m(x) = \frac{ - 3}{25} [/tex]

[tex] \frac{ - 3x}{x {}^{2} + 2x - 24} = \frac{ - 3}{25} [/tex]

[tex] - 3(x {}^{2} + 2x - 24) = - 3(x)(25) \\ divide \: both \: sides \: by - 3[/tex]

[tex]x {}^{2} + 2x - 24 = 25x[/tex]

[tex]x {}^{2} - 23x - 24 = 0[/tex]

[tex](x - 24)(x + 1) = 0 [/tex]

[tex]x = 24 \\ x = - 1[/tex]

Answer:

D

x=0

Step-by-step explanation:

E)

[tex]\frac{-3x}{x^2+2x-24} =\frac{-3}{25} \\x^2+2x-24=25x\\x^2+2x-25x-24=0\\x^2-23 x-24=0\\x^2-24x+x-24=0\\x(x-24)+1(x-24)=0\\(x-24)(x+1)=0\\x=24,-1[/tex]

You are betting on a game with an expected value of -$0.33. What does this mean?

Answers

I like to think of the - or under as the less likely to happen like a cat beating up a bear u don’t want to put your money on the cat so everyone puts there money on the bear making the bear the over and the cat the under

how would you solve 4c + 11 = -25? explain how in complete sentences and list the solution. (yall im so lost in class rn, i need this)

Answers

Answer:

c = -9

Step-by-step explanation:

4c + 11 = -25

4c = -25 - 11

4c = -36

c = -36 : 4

c = -9

or

4c + 11 + 25 = 0

4c + 36 = 0

c = (-36)/4

c = -9

-------------------

check

4 *(-9) + 11 = -25

-36 + 11 = -25

-25 = -25

the answer is good

Answer:

c= -9

Step-by-step explanation:

1. 4c + 11 = -25

2. Put all like terms together and change the sign. In this case, the +11 will go to the right with the -25 and it will become -11.

Therefore:

4c= -25 -11

4c= -36

3. Make c the subject. Since 4 is being multiplied by c, when it goes to the right, it will divide.

Therefore:

c= -36/4

c= -9

A man has to be at a certain place at a certain time. He finds that he shall be 20 minutes late if he walks at 3 km/h speed and 10 minutes earlier if he walks at a speed of 4 km/h_The distance he has to walk is​

Answers

Answer:

0.5km or 500m

Step-by-step explanation:

Given Distance = Speed x Time

In this case, we should use the difference in speed and time of the 2 scenarios.

Difference in Time = 20 mins(late) + 10 mins(early)

= 30 mins or 0.5 hour

Difference in Speed = 4km/h - 3km/h = 1km/h

Distance = 1km/h x 0.5 hr = 0.5km or 500m.

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. What is the hypotenuse?

Answers

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be [tex]c = \sqrt{58}[/tex].

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The short leg of a 90-45-45 triangle is 3 and the long leg is 7.

Since this is a right triangle, we can use the Pythagoras theorem

a^2+b^2 = c^2  

where a and b are the legs and c is the hypotenuse

[tex]3^2 + 7^2 = c^2\\\\9 + 49 = c^2\\\\58 = c^2\\\\c = \sqrt{58}[/tex]

Hence, The hypotenuse would be [tex]c = \sqrt{58}[/tex].

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ1

Other Questions
Is the god who creates the earth remains the ruler of all common to both judeo christianity and greco roman belief When the Nazi administration sent memorandums directing the death of Jews at an extermination camp, they used the phrase "specialtreatment." Which statement BEST explains the careful use of this phrase?OA The Nazis believed that the extermination of the Jews was a merciful treatment designed to end Jewish suffering.O B.Because of the Infiltration of American and Soviet sples, they had to be careful in wording so that operations were secure.They used euphemisms because they knew that what they were doing would be considered wrong by others.OC.OD. Few of the administrators were aware of what exactly happened at the camps; just that the person was being detained. Tristan has found a good job as a bookkeeping clerk after finishing his associates degree at the local community college. He is making a beginning annual salary of $19,760. How can this increased income affect his financial decisions Write an equation in slope intercept form with the given information.Goes through points (-2,-5) and (3,5) L 1.2.6 Quiz: Evaluating Scientific ClaimsQuestion 4 of 10Which of the following is the best definition of empirical evidence?OA. Evidence that supports a scientific hypothesisB. Evidence based on personal beliefs or preferencesOC. Evidence gathered through direct observationD. A set of untested data used to support product claims Which best describes the range of the function #(x) = 2(3)x? O y>0 O y0 O y = 2 O y2 62 divided by 8,694 What fear started the red scareA. That communists would take over the u.s. governmentB. That communism was a better economic system than capitalismC. That communism would never be a successful form of governmentD. That communists would attack countries in southwest asia fill in the blanks with the correct form of the verb to have and the palt of the body that is numhered. (2 pls.each) As a warehouse worker pushes a crate across a concrete floor, the force heapplies is not perfectly horizontal, as shown in the image below. If thecoefficient of kinetic friction between the crate and concrete floor is 0.5, whatis the net force on the crate?A. 136 NB. 99 NC. 73 ND. 112 N according to the book's model for judging corporate social performance, social responsibility is divided into what into four sections? What is the common difference of the following arithmetic sequence?{15,11,7,3,...} Compare the structure of the human liver with that of the fetal pig. Which of the following was passed in1935 and started the process thatwould later be known as The Holocaust(where "undesirables" would beremoved from society)?A. Weimar ConstitutionB. Nuremberg LawsC. Beer Hall Putsch On October 31, 2016, the following data was accumulated to assist the accountant in preparing the adjusting entries for Dependable Realty.a. Fees accrued but unbilled at October 31 are $9,670.b. The supplies account balance on October 31 is $3,180. The supplies on hand at October 31 are $910.c. Wages accrued but not paid at October 31 are $1,220.d. The unearned rent account balance at October 31 is $9,480, representing the receipt of an advance payment on October 1 of three months' rent from tenants.e. Depreciation of office equipment is $1,610. how does antony respond to the conspirators? Which of the following is the graph of y = log3 x - 1 The gratuity on a restaurant bill was $18. If a 20% tip was left, what was the original amount of the bill? AnalyzeQuestion 8 of 10Which of the following excerpts from The American Crisis is an example ofan appeal to logos?OA. Neither have I so much of the infidel in me, as to suppose that Hehas relinquished the government of the world, and given us up tothe care of devils; and as I do not, I cannot see on what groundsthe King can look up to heaven for help against us: a commonmurderer or highwayman has as good a pretense as he.B. The far and the near, the home counties and the back, the rich andthe poor, will suffer or rejoice alike. The heart that feels not now isdead.OC. Once more we are again collected and collecting. Our new army atboth ends of the continent is recruiting fast, and we shall be ableto open the next campaign with sixty thousand men, well armedand clothed. This is our situation, and who will may know it.D. I have as little superstition in me as any man living, but my secretopinion has ever been, and still is, that God Almighty will not giveup a people to military destruction, or leave them unsupported tonerish who have so earnestly and so repeatedly sought to avoid Help Me Uhm In 5th Grade I'm behind in school work and I have to finish by august when my school starts pls help I'm stuck on this question