-8,-8,-6,-2,4,12,22 quadratic sequence

Answers

Answer 1

9514 1404 393

Answer:

  a[n] = n^2 -3n -6

Step-by-step explanation:

First differences are ...

  -8 -(-8) = 0

  -6 -(-8) = 2

  -2 -(-6) = 4

Second differences are ...

  2 -0 = 2

  4 -2 = 2

Constant second differences indicate a degree 2 (quadratic) sequence.

The general formulation can be written as ...

  an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference

  = -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)

  an = n^2 -3n -6 . . . . . formula for the n-th term


Related Questions

Need as soon as possible

Answers

Answer:  136 square feet

=======================================================

Explanation:

The front face is a triangle with base 6 and height 4.

The area is 0.5*base*height = 0.5*6*4 = 12 square feet

The back face is also 12 square feet since the front and back faces are identical triangles.

So far we have 12+12 = 24 square feet of surface area.

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

The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.

To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.

This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.

So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.

Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify​

Answers

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]

[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]

Find 3.5% of 950 g.

Answers

Answer:

33.25 g

Step-by-step explanation:

Answer:

33.25 g

plz refer to the picture

Marking brainliest


Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?

Answers

Answer:

[tex]11.1\: \mathrm{g}[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.

Answer:

I need this answer ASAP

Step-by-step explanation:

use one or more exponents to write the expression 9 x 9 x 9 x 9 x 7 x 7

Answers

Answer:

9^3 times 7^2

Step-by-step explanation:

A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.

Answers

Answer:

c(h)=12h+6

because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis

Mr. Marcus is splitting a huge new pack of colored pencils equally among 25 students after splitting the pencils he has 4 left if there were 429 colored pencils to begin with how many did each student receive

Answers

Answer:

hIm so sorry for that other person they did the same thing to my answer and a bunch of other people too iecked there account and reported him many times so sorry but can give you the answer :)

Its 17 if i id math correctly! sorry bout the other person have a great day

Step-by-step explanation:

John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price?

A.$22.50
B.$65.00
C.$67.50
D.$112.50

Answers

Answer:

A

Step-by-step explanation:

Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100

divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.

then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.

The answer is A akbdjbd d

Translate the verbal expression: Six times a number yields 48.

Answers

six times eight equals fourtyeight

6x8=48

The verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators. A mathematical situation can be expressed verbally as a condensed version. It describes the connections and operations that take place between quantities.

It is given that the verbal expression is six times a number yields 48.

Suppose the number is x,

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The expression is translated as,

6×8=48

Thus, the verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.

Learn more about the expression here:

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Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Answers

Answer:

B

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]

Remember that the derivative of a constant is always 0. Therefore:

[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]

And by subtracting dy/dt from both sides, we acquire:

[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]

Hence, our answer is B.

Answer:

Let x and y be functions of time t such that the sum of x and y is constant.

(B) is the right answer

A family buys 5 airline tickets. They also buy travel insurance that is an additional $17 per ticket ($85). The total cost for the 5 tickets plus the insurance is $1,495. Let x represent the price of one ticket. Write and equation to represent the situation. *

Answers

Answer:

The first answer is 5(x+17)=1,495

The second one is $282

Hope this helps

All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!

Answers

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

Can someone please help me

Answers

Answer:

12:15

3 goes into both of these numbers so then becomes

4:5

cannot be reduced any further

answer

4:5

The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140

Answers

The answer is $110

Explanation: .40*200=80 80+30=110

Rewrite the following equation as a function of x
1/16x + 1/320y - 29 = 0
A. F(x) = -9280 + 1/16x
B. F(x) = 9280 - 20x
C. F(x) = -9280 + 20x
D. F(x) = 9280 - 1/16x

Answers

Answer:

the awnser is b hope this helps

Step-by-step explanation:

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

The given function is x/16 + y/320 - 29 = 0.

What is a function?

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Now, the LCM of denominators 16 and 320 is 320.

So, 20x/320 + y/320 - 9,280/320 = 0

⇒20x+y-9280=0

⇒y=9280-20x

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

To learn more about the function visit:

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Which row of the table reveals the y-intercept of function ? X f(x) 2 -1 0 2 1 0 2 ch -6 3 -24​

Answers

Answer:

2, -1

Step-by-step explanation: Got it right on Edge

The row of the table of the y-intercept of the function is f ( 2 ) = -6

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

f ( -1 ) = 2^2/3

f ( 0 ) = 2

f ( 1 ) = 0

f ( 2 ) = -6

f ( 3 ) = -24

Hence , the function is f ( 2 ) = -6

To learn more about function rule click :

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A student was measuring water in a graduated cylinder. The student read the amount of water at 20 ml. The actual amount of water in the graduated cylinder was 17 ml. What is the approximate percent error?
A.
3%

B.
8%

C.
15%

D.
18%

Answers

The answer is D. 18%

I WILL GIVE BRAINLIST AND 50 POINTS
The students in a class made graphs to keep track of the number of pages they read in their books.

Which graph shows a proportional relationship?
A.
B.
C.
D.

Answers

Step-by-step explanation:

A proportional relationship graph would show that the points can be arranged in a line that passes through the origin.

All of the points in Graphs B, C and D cannot be connected in 1 straight line, hence they are not proportional relationships.

Only Graph A shows a proportional relationship.

Answer:

a

Step-by-step explanation:

A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?​

Answers

Answer:

The measurement of the width is 10cm.

PLEASE HELP!!!!!! I will give points

Answers

Answer:

Of the basketball players on the team, exactly 75% of the players have heights above 180

Step-by-step explanation:

So, they are 12 basketball players in total

1 - 170 - This is 1/12

2 - 175 - This is 1/6

1 - 180 - This is 1/12

4- 185 - This is 1/3

3 - 190 - This is 1/4

1 - 195 - This is 1/12

75% (Or 3/4) have heights above 180

Therefore, the answer is B

7(5a − 4) = 14 − 8a + 1

Answers

Answer:

a = 1

Step-by-step explanation:

7(5a − 4) = 14 − 8a + 1

Distributive property ( multiply what is inside the parenthesis by 7)

7 * 5a - 7 * 4 = 14 - 8a + 1

35a - 28 = 14 - 8a + 1

Combine like terms

35a - 28 = 15 - 8a

Add 8a on both sides

35a + 8a - 28 = 15 - 8a + 8a

43a - 28 = 15

Add 28 on both sides

43a - 28 + 28 = 15 + 28

43a = 43

Divide by 43 on both sides to isolate the variable

43a/43 = 43/43

a = 1

Check

7(5a − 4) = 14 − 8a + 1

Just substitute the "a" with "1"

7(5 * 1 − 4) = 14 − 8 * 1 + 1

35 - 28 = 14 - 8 + 1

7 = 7 CORRECT

Hope this helped!

have a supercalifragilisticexpialidocious day!

The awnser would be a=1

A stockbroker knows from experience that the probability that a client owns stocks is 0.60. P(A) The probability that a client owns bonds is 0.50. P(B) The probability that the client owns bonds if he/she already owns stock is 0.55 What is the probability of a client owning stocks OR bonds

Answers

Answer:

the probability of a client owning stocks OR bonds is 0.825

Step-by-step explanation:

The computation of the probability of a client owning stocks OR bonds is given below:

= P(stocks) + P(bonds) - P(stocks and bonds)

= 0.60 + 0.50 - (0.55 × 0.50)

= 0.60 + 0.50 - 0.275

= 0.825

Hence, the probability of a client owning stocks OR bonds is 0.825

19 ≥ 3f+1 ≥5 pls help

Answers

Answer:

Hi...u should do like this

18>3f>4

6>f>4/3

6. (CED.2, REI. 6) A manager is comparing
the cost of buying baseball caps from two
different companies.
Company X charges a $50 fee plus S7 per
baseball cap.
Company Y charges a $30 fee plus $9 per
baseball cap.
For what number of baseball caps will the
cost be the same at both companies?
A. 20
B. 10
C. 40
D. 100

Answers

I think the answer for this question is the second one

Please solve thank you if so

Answers

Answer:

5(3) + i = 30

15 + i = 30

Step-by-step explanation:

It’s 30 because multiply

xy^2-x^2y
x= -1
y= -2​

Answers

Answer:

xy(x-1y)

Step-by-step explanation:

xy^2-x^2y

=solution,

taking common

xy(x-1y)

3x + y=5
6x -2y=10 Is it consistent/non consistent and need solution
once i see how to do one ill understand how to do others. thank you

Answers

Answer: These are non- consistent and can be solved. The signs of the y terms are the opposite.

Step-by-step explanation: If the signs are the same, and all the terms of one equation are multiples of the other, they are identies, with infinite solutions. We can solve this system by multiplying the first equation by 2, adding the equations to cancel the y terms, and solve for x.

2(3x+y=5) becomes

6x +2y= 10 Add it to the other equation

6x -2y= 10 We are left with

12x = 20 Solve for x

x = 5/3 Substitute for x and solve for y.

3(5/3) + y = 5

5 + y = 5. Subtract 5 from both sides.

y = 0

The solution to this system is (5/3 , 0)

Please solve the question below 4

Answers

Answer:

The answer is C

Step-by-step explanation:

The graph has a normal distribution, mean at 3.6, and a standard deviation of 0.6

Answer:

the Correct Answer Is c

Step-by-step explanation:

PLZ PLZ PLZ MARK AS BRAINLIEST LOL PLZ

A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the following probability distribution. 2 3 Result of a spin .x Probability : 0.50
(a) Find and interpret the mean of X.
(b) Find and interpret the standard deviation of x.
(c) It costs a player $5 for a single spin. The player will receive (in dollars) three times the number that appears. So the profit for one play of this game is Yeur 5. What is the mean and standard deviation of 7

Answers

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour

= Political behaviour ​

Answers

Step-by-step explanation:

political behaviour consists of activities that are

not required as part of one's formal

role in the organization

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