Type the missing number in this sequence: 1, 2, 4, 8, , 32

A recursive formula for a sequence expresses the [tex]n[/tex]-th term as a function of the previous one(s).

In this case, you can see that every term is 6 more than the previous one.

So, the recursive formula is "the [tex]n[/tex]-th term is 6 more than the [tex]n-1[/tex]-th term".

In formula, it's written

[tex]a_n=a_{n-1}+6[/tex]

Since the recursion could go back indefinitely, we usually set a starting point, so that the sequence is fully determined:

[tex]\begin{cases}a_0=20\\a_n=a_{n-1}+6\end{cases}[/tex]

The  Recursive formula is [tex]a_n[/tex] =  6n - 14

Any term of a series can be defined by its preceding term in a recursive formula (s). For instance: An arithmetic series has the recursive formula a = [tex]a_n[/tex]-1 + d. [tex]a_n[/tex]= [tex]a_{n-1][/tex] r is the recursive formula for a geometric sequence.

Given:

20,26,32,38

First term, a= 20

Common difference,  d= 26 -20 = 6

So, The recursive formula is

[tex]a_n[/tex] = a+ ( n-1)d

[tex]a_n[/tex] = 20 + ( n-1) 6

[tex]a_n[/tex] = 20 + 6n - 6

[tex]a_n[/tex] =  6n - 14

Hence, the Recursive formula is [tex]a_n[/tex] =  6n - 14

Learn more about recursive formula here:

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Answer:

y = 9x+80

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = 9x+b

Substitute the point in for x and y

-1 = 9(-9) +b

-1 = -81 +b

Add 81 to each side

-1+81 = b

80 =b

The equation is y = 9x+80

Answer:

it od domedfg

Step-by-step explanation:

hihihi

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

y=-5x+6

Step-by-step explanation:

If you graph each of these equations, the only one that passes through the point (1,1) and is perpendicular to the given line is y=-5x+6.

Explanation:

Divide the negative 16 by 2= -8

Then square -8

So the missing constant is 64

The perfect square would be (x-8)^2

Answer:

Median = 18

This is the middle line in the box.

Range = 6

This is the difference between the highest and lowest values, 21 - 15.

25th percentile = 17

This is the Q1 value, which is the left side of the box.

75th percentile = 20

This is the Q3 value, which is the right side of the box.

Interquartile range = 3

This is Q3-Q1, which is 20 - 17. This is another way to measure spread.

Answer:

she will have in the end 1 dollar and four cent after she buys 12 things with her  43.94 dollars

Step-by-step explanation:

so she had 43.94 dollars she can by with it she can buy with it 12 things she can buy a yoyo a doll a duckie a tractor a airplane a ball a racecar a dog a car a elephant and the last thing she can buy is a whistle

Answer:

Here, F = 2.911

F > 2.739502 , so reject null hypothesis ( H0)

There is ample evidence to indicate a disparity in the means for the different forms of mails.

Step-by-step explanation:

Null hypothesis -  H₀: μ₁ = μ₂ = μ₃ = μ₄

Alternative hypothesis - H₁: At least one mean is different.

df1 is factor degree of freedom and df2 is error degree of freedom.

Decision rule -  Reject H₀ if F > F₀.₀₅, (df1, df2)

F0.05, df1,df2   is f critical value at \alpha = 0.05

Here df1 = 3 , and df2 = 68

Using Excel,

F₀.₀₅, ₃, ₆₈ = FINV( 0.05, 3 , 68 ) = 2.739502302

So reject H0 if F > 2.739502

Here, F = 2.911

F > 2.739502 , so reject null hypothesis ( H0)

There is ample evidence to indicate a disparity in the means for the different forms of mails.

Answer:

- [square root (3) / 2]

Step-by-step explanation:

sin( -120) = sin( -120 + 360) = sin 240 = -sin ( 240-180)

-sin60= - [square root (3) / 2]

Remember Sin is negative in the 3rd quadrant and 240 falls on the 3rd quadrant.

Hello!

The value that is in the middle of the data set will be the mean. (So, there will be three numbers on the left of it, and three to the right).

Let's say the numbers are 7, 9, 3, 6, 2, 1, 5 (Just as an example)

Because the amount of numbers in this data set is seven, it is an odd number. This means to find the median, we simply have to look at the number in the middle of the set. (In this case, that would be six).

Answer:

ABC = 87°

Step-by-step explanation:

So ABC is x + 32 because the angles are vertical. ABC is also supplementary to ABD so you can make an equation.

3x + 15 = 180

3x = 165

x = 55

ABC = 55 + 32 = 87

Answer:

3 units

Step-by-step explanation:

So if we want to know how high the spring board is, this will need to be the time at which the diver is still at the top of the board, in this case t = 0 seconds.

So we will need to find h(0)

Answer:

The piano was in the air for 18.34 seconds.

Step-by-step explanation:

The height of the piano after t seconds is given by the following equation:

[tex]f(t) = -16t^{2} + 320t - 256[/tex]

Initially, the piano is below the ground level. At the first root of the equation, it will go into the air, and then some time after that it will fall down again, which is at the second root of the equation.

Roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]f(t) = -16t^{2} + 320t - 256[/tex]

So

[tex]a = -16, b = 320, c = -256[/tex]

[tex]\bigtriangleup = (320)^{2} - 4*(-16)*(-256) = 86016[/tex]

[tex]t_{1} = \frac{-320 + \sqrt{86016}}{2*(-16)} = 0.8348[/tex]

[tex]t_{2} = \frac{-320 - \sqrt{86016}}{2*(-16)} = 19.17[/tex]

Subtracting:

19.17 - 0.8348 = 18.34

The piano was in the air for 18.34 seconds.

Answer:

There are a total of 84 yellow corns and

840 white corns planted in the garden.

Step-by-step explanation:

Number of plants in each row = 42

Number of rows of yellow corn = 2

Number of rows of white corn = 20

To find the total number of yellow corns planted in the garden, we need to add the number of plants in each row 2 times.

i.e. 42 + 42 = 84

OR

we can say the following:

Total number of yellow corns planted in the garden = Number of rows of yellow corn [tex]\times[/tex] Number of plants in each row

[tex]\Rightarrow 2 \times 42\\\Rightarrow 84[/tex]

To find the total number of white corns planted in the garden, we need to add the number of plants in each row 20 times.

i.e. 42 + 42 + 42 + ....... + 20 times

OR

we can say the following:

Total number of white corns planted in the garden = Number of rows of white corn [tex]\times[/tex] Number of plants in each row

[tex]\Rightarrow 20 \times 42\\\Rightarrow 840[/tex]

Hence, there are a total of 84 yellow corns and 840 white corns planted in the garden.

Answer

4. E

use PEMDAS

5. 36+18=54  so C

plug in x

6. 15=5x

x=3 so C

11. B

break the absolute value into pos and neg components

12.D

is not equal to so open circle

2x=14

2x=8

so 4 and 7 with open circles

Step-by-step explanation:

Answer:A reta é um objeto unidimensional, isto é, possui apenas uma dimensão. Observando bem uma reta, é possível notar que qualquer medida feita sobre ela representará apenas um comprimento. Dessa maneira, pode-se afirmar que retas não possuem largura, apenas comprimento.

Step-by-step explanation:

Answer:

She ordered 80 carnations, 50 roses, and 70 daisies.

Step-by-step explanation:

Let x = number of carnations, y = number of roses, and z = number of daisies.  This problem gives us three equations.

First, remember that we multiply the price of each flower by the number bought then add up the subtotals, that gives the total amount paid.

Therefore,

1.50x + 5.75y + 2.60z = 589.50

Second, the sum of the numbers purchased is the total bought. Therefore,

x + y + z = 200

Finally, there are 20 fewer roses than daisies. Therefore,

y = z - 20

If you substitute z - 20 in for y in the first two equations, you can rewrite them so they only have x and z.

1.50x + 5.75(z - 20) + 2.60z = 589.50

1.50x + 5.75z - 115 + 2.60z = 589.50

1.50x + 8.35z = 704.50

x + (z - 20) + z = 200

x + 2z - 20 = 200

x + 2z = 220

If you solve the rewrite second equation for x, you get x = 220 - 2z.  Therefore, you can substitute 220 - 2z in for x in the rewritten first equation, and then solve for z.

1.50 (220 - 2z) + 8.35z = 704.50

330 - 3z + 8.35z = 704.50

330 + 5.35z = 704.50

5.35z = 374.50

z = 70

If you have z = 70, then x = 220 - 2(70) = 80 and y = 70 - 20 = 50.

She ordered 80 carnations, 50 roses, and 70 daisies.

*HOPE THIS HELPED!!! :D)

Answer:

140

Step-by-step explanation:

So all you have to do is multiply 5 * 4 * 7 to find out how many outfits you can make.

140

Answer:

..........

Step-by-step explanation:

i don't understand 25 2 ??

Answer:   D

Step-by-step explanation:

The 95% confidence interval for the difference in scores is \left( {9.628,11.172} \right)(9.628,11.172) .

Step-by-step explanation:

1. Many state students are looking for employment opportunities through outsourced jobs in other countries, since their possibilities have been reduced within their own country.

2.One of the independent variables is outsourced work.

a. a type of moderate independent variable.

3. The analysis of the high demand for outsourcing.

a. Control dependent variable.

4.It is an experimental design.

Because you want to see if the outsourced market really has any effect on the US economy.

6. Possible dependent variables such as the effect on the US market or the creation of new markets, I do not consider to be reliable variables to measure the cause or independent variable.

7.It is ecologically valid in the sense that it allows visualizing a positive impact on a way of working that allows reducing costs in all senses, both monetary and transportation, contributing to the care of nature.

8.I do not consider that cause and effect can be claimed.

a.While the one that exitates this type of outsourced work from many parts of the world, this does not guarantee that it is the only source of income for a person, since these outsourced jobs often represent additional income.

9. Focal groups.

Answer:

(2k-5)(2k-5)

Step-by-step explanation:

The exponent of 2 lets us know that the numbers and variables in the parentheses are getting multiplied together twice. E.x: if it was (2k-5)^3, it would have 3 sets of parentheses instead of 2.

Answer:

As 0.17 is below the upper limit of the confidence​ interval, so we can conclude that the population proportion is less than 0.17.

Step-by-step explanation:

We are given that a survey of 270 young professionals found that one dash eighth of them use their cell phones primarily for​ e-mail.

Firstly, the Pivotal quantity for 95% confidence interval for the population proportion is given by;

                            P.Q. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of people who use their cell phones primarily for​ e-mail =  [tex]\frac{1}{8}[/tex] = 0.125

           n = sample of young professionals = 270

           p = population proportion

Here for constructing 95% confidence interval we have used One-sample z test for proportions.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                   of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95

P( [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95

95% confidence interval for p = [[tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]

        = [ [tex]0.125-1.96 \times {\sqrt{\frac{0.125(1-0.125)}{270} } }[/tex] , [tex]0.125+1.96 \times {\sqrt{\frac{0.125(1-0.125)}{270} } }[/tex] ]

        = [0.08 , 0.16]

Therefore, 95% confidence interval for the population proportion who use cell phones primarily for​ e-mail is [0.08 , 0.16].

Since, the above confidence interval have values which is less than 0.17; so we conclude that the population proportion is less than 0.17.

Answer:

9x^2 + 12x

Step-by-step explanation:

The area of the blue

3* 3x^2 = 9x^2

The area of the pink is

3* 4x = 12x

Add them together

9x^2 + 12x

Answer: Wrote more articles and books

Step-by-step explanation:

Answer: -1

Step-by-step explanation: Let the integer be x

It's additive inverse = -x

= x / -x = -1

Answer:

1/3

Step-by-step explanation:

Probability 2/6 = 1/3

Answer - 1/3

Probability is 1/3

Answer:

4.8

Step-by-step explanation:

Answer:

30 for the other two sides

Step-by-step explanation:

180-120=60

Divide 60 in half to get 30