what is the 12
th term rule of the linear sequence 13 7 1 -5 -11​

Answers

Answer 1

Answer:

-53, f(n) = -6(n-1) + 13

Step-by-step explanation:

given the equation to this linear/arithmetic sequence for the nth term: f(n) = -6(n-1) + 13

f(12) = -6(12-1) + 13

f(12) = -6(11) + 13

f(12) = -66 + 13

f(12) = -53

*substitute and simplify*

______________

f(n) = f(1) + d(n-1)

given f(1) = 13, f(2) = 7, and f(3) = 1

7-13 = 1-7 = -6 = d

= f(1) + d(n-1)

f(1) = 13 so

the equation must be f(n) = 13 - 6(n-1) or -6(n-1) + 13


Related Questions

What is (1 x 10(5) + (3 x 10(3) + (7 x 10(2) in standard form?
A. 1,030,700
B. 1,037,000 I. C. 103,700
D. 1,370

Answers

03 = 1000

8. 10-5 = 1/100,000 = 0.00001

9. 109 = 1,000,000,000

10. 1 X 10-2 = 1/100Answer:

1. 100 = 102

2. 10,000,000 = 107

3. 1 / 10,000 = 10-4

4. one million = 106

5. 1 / 10,000,000 = 10-7

6. one ten millionth = 10-7

7. 1 = 0.01

Step-by-step explanation:

Plz solve for brainlistMarlene runs 4 km in 30 min. At this rate,
can Marlene run 6 km in 45 min?
Complete the following calculation an

d
explanation. Use the Communication
Checklist.

Answers

Answer:

comparing rates.. use the formula  d = r * t    where d= distance , r = rate or speed  and t = time  ofc.  :)

Step-by-step explanation:

we know the distance  and the time but not the rate.. find that  r ....

d/t = r    4/30 = r    = 0.13333333333  this is in Km per minute,   b/c the 4 is Km and the 30  is in minutes.  Units are not to important other than keeping track of what they are.  

Now we can answer the question  can Marlene run 6 Km in 45 mins. b/c we know her rate , or speed,   so at her rate of 0.133333333  Km/min  and using that d = r * t formula  what is her distance in 45 minutes..  so  multiply 45 * 0.133333= 6     so she runs exactly 6 Km in 45 minutes.. so the math answer is yes

please help ??? Thanks ​

Answers

It is top left ok try it

Answer:

Each y- value is determined by adding 4

Step-by-step explanation:

Find the equation of the graphed line.
The answer I put in was incorrect and I’m not sure why

Answers

Answer:

-3x + 2 = y

As the y-intercept is y = 3

And the rise/run = 3/-1

Please help me be right! Ordered pairs

Answers

Answer:

the answer is C

Step-by-step explanation:

both the ordered pair satisfy the equation

A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?

Answers

Answer: 210

Step-by-step explanation:

Given: total locations = 7

Number of locations wishes to rank = 3

If order of selection matters, then the number of permutations of r things from n= [tex]\dfrac{n!}{(n-r)!}[/tex]

The number of ways to rank 3 locations out of 7 [tex]=\dfrac{7!}{(7-3)!}=7\times6\times5=210[/tex]

Hence, the number of different ways required = 210

Cost of bowling if it is $3 per game and $5 for shoes. Find the linear equation.

Answers

Answer:

y=3x+5

Step-by-step explanation:

Depending on how many games he has played that number where the x is. So let’s say he plays two games so what you’re going to do is plug the two in for the X so then it would be 2×3 which is 6 then you would do 6+5 because you still have the 5 left and it says to add.

That should be right and follow me if this helps.

help wil give brainly if right

Answers

Answer:

I think it B as well as the other person I just learned this so I'm not the best at it


Find the domain and the range of each relation. Use the vertical
Line test to determine whether each graph is the graph of a function.

Answers

Answer:

29) x> or equal to 0 and y= all real number

30) x= all real y> or equal to 0

11. Given a polynomial P(x) = x³-4x²-5x is one of the zeroes.

a) Factorise P(x) completely
b) Sketch the graph of P(x)
C)Find the domain and range.​

Answers

Answer:

thats some tuff

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(x)=x³-4x²-5x=x(x²-4x-5)

=x(x²-5x+x-5)

=x[x(x-5)+1(x-5)]

=x(x-5)(x+1)

domain (-∞,∞)

range: (-∞,∞)

-14+6b +7-2b=1+5b what is answer?~PLEASE SHOW WORK 45 POINTS

Answers

Answer:

b=-8

Step-by-step explanation:

Sorry I don't have time to show work right now and write it down but this is the answer.

Answer:

b=8

Step-by-step explanation:

1.1     Pull out like factors :

-8 - b  =   -1 • (b + 8)  

Solving a Single Variable Equation

2.1      Solve  :    -b-8 = 0  

Add  8  to both sides of the equation :  

                     -b = 8

Multiply both sides of the equation by (-1) :  b = -8

what is 3.14 x 11 x2

Answers

Answer:jurrhthrhth

Step-by-step explanation:hdhdbbdfh

Answer:

69.08

Step-by-step explanation:

I hope this helped!

2+2 this is for that one guy that answered my question he needs some more points and answers so imma help him out
I think it’s a boy honestly Idk

Answers

Answer:

I need more too lol the answer is 4

the answer is four loll

Mr. Martin bought a microwave that was originally priced at $225. Using a coupon, he received a 30% discount on the microwave. What is the total price Mr. Martin will pay at the register if there is a 6% sales tax. Round your answer to the nearest cent if necessary.

Answers

Answer: 125 I think

Step-by-step explanation:

PLEASE HELP These equations represent different possibilities for a waiter earning $11.25 for waiting on one table for one hour. The constant is the hourly rate and the coefficient represents the fraction of the bill, b, the customers left as a tip. Which equation correctly represents the hourly rate and tip for a bill of $30.00?

A. 5.00 + 1/6 b = 11.25

B. 5.25 +1/3 b = 11.25

C. 5.25 + 1/5 b = 11.25

D. 6.00 + 1/8 b = 11.25

Answers

Answer:

C

Step-by-step explanation:

Just took test n got it right

Answer:

C. 5.25 + 1/5 b = 11.25

Step-by-step explanation:

PLEASE HELP!!! I DON’T KNOW THISSS

Jenny has only 3 1/2 cups of flour in her house. She needs 1 5/8 cups for a brownie recipe. Her sister Jody needs 1 3/4 cup flour for her cookie recipe. Will there be enough flour for both recipes?

Answers

Answer:

yes, she will still have 1/8 of a cup left

Step-by-step explanation:

you have to convert all the fractions to have the same denominator.

to do that you need improper fractions

3  1/2= 7/2

1  5/8= 13/8

1  3/4= 7/4

with this information, you need to find a common number between 2, 8, and 4. the largest number that they all fit into is 8.

so 7/2 becomes 28/8

13/8 stays the same

and 7/4 becomes 14/8

add 13/8 and 14/8 and subtract from 28/8

you get 1/8, which means you have enough flower for both recipes!

Answer:

[tex]YES.[/tex]

Step-by-step explanation:

[tex]if \: 1 \frac{5}{8} + 1 \frac{3}{4} = 3.375 \\ and \\ 3 \frac{1}{2} = \: 3.5 \\ then \: 3.5 > 3.375[/tex]

how do i solve intervals

Answers

Interval notation is a simplified form of writing the solution to an inequality or system of inequalities, using the bracket and parenthesis symbols in lieu of the inequality symbols. ... For example, the solution 3 < x < 5 is written (3,5) in interval notation, because x cannot be equal to 3 or 5.

Write in slope intercept form:
(1,4) slope= -2

Answers

Answer:

y = -2x + 6

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

So we are given a point, (1, 4), and a slope, -2, and we are asked to write the information into slope-intercept form. To write something directly into slope-intercept form, we need the y-intercept and the slope. Here, we are given a point, that is not the y-intercept, and a slope.

Instead of plugging for m and b in the equation for slope-intercept form, we can write the equation in point-slope form and then solve for slope-intercept form.

Point-slope form is:

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) is a point.

Lets plug in (1, 4) for (x₁, y₁) and -2 for m.

y - 4 = -2(x - 1)

Now lets solve for slope-intercept form. Distribute the -2 on the right side.

y - 4 = -2x + 2

Add 4 to both sides.

y = -2x + 6

And now we have the equation in slope-intercept form.

I hope you find my answer and explanation to be helpful. Happy studying.

Is 4:5 equivalent to 8:10 as radios?

Answers

Yes, they are equivalent.

As we can see, 4:5 and 8:10 have something in common. 4*2 = 8 and 5*2 = 10. Both 4 and 5 are multiplied by 2 to get 8:10.

least common denominator of 7/2 and1/2​

Answers

the least common denominator of 7/2 and 1/3 is two (2)

Which statement is true?

Answers

Answer:a

Step-by-step explanation:because the number equals the letter.

what is 3(3x +2) = 9x-7

Answers

Answer:

No solutions

Step-by-step explanation:

3(3x + 2) = 9x + 7

9x + 6 = 9x + 7

9x - 9x = -6 + 7

0 = -1

No solutions

Hope this helps!

An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons. A list containing these measurements is below:


Sample Input Temp (deg F) Output Temp (deg F)
1 57.6 65.1
2 68.9 74.4
3 68.1 74.7
4 47.7 55.4
5 48.1 51
6 67.2 71.9
7 69.9 79.2
8 48.1 57.2
9 35 41.4
10 56 61
11 44.3 50.8
12 65 70.5
13 48.3 56.9
14 54.9 61.7
15 60.4 67.3

Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees.

1. What does your analysis indicate?

a. The cooling system changes the temperature of the water by an amount different than 6 degrees.
b. The cooling system changes the temperature of the water by 6 degrees.

2. What is the P-Value associated with your decision above?

a. 0.001
b. 0.026
c. 0.049
d. 0.070
e. 0.110
f. 0.131
g. 0.148
h. 0.201
i. 0.278
j. 0.289

Answers

Answer:

1

The correct option is  b

2

The correct option is  h

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 15

   The difference in population proportion is [tex]d = 6[/tex]

Generally the sample mean of the input temperature is  

     [tex]\= x_1  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_1  =  \frac{57.6 + 68.9 + \cdots +60.4  }{15}[/tex]

=>  [tex]\= x_1  = 62.57 [/tex]

Generally the sample mean of the output temperature is  

     [tex]\= x_2  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_2  =  \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]

=>  [tex]\= x_2 = 55.97 [/tex]

Generally the difference of the sample mean of the input temperature and that of the output temperature is  

     [tex]\= d  =  \= x_1  - \= x_2[/tex]

=>  [tex]\= d  =  62.57 -55.97[/tex]

=>  [tex]\= d  =  6.6[/tex]

Generally the standard deviation is mathematically represented as

     [tex]s_d  =  \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]

=>  [tex]s_d  =  \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots +  ([60.4 -  67.3]- 6.6)^2 }{15} }[/tex]

=>  [tex]s_d  = 1.732 [/tex

Generally the test statistics is mathematically represented as

     [tex]t  =  \frac{ d - \= d  }{ \frac{s_d}{\sqrt{n} } }[/tex]

=>   [tex]t  =  \frac{ 6-6.6  }{ \frac{1.732}{\sqrt{15} } }[/tex]

=>   [tex]t  =  1.3417[/tex]

Generally the degree of freedom is mathematically represented as

    [tex]df =  n -  1[/tex]

=>  [tex]df =  15 -  1[/tex]

=>  [tex]df =  14[/tex]

Generally the probability of t obtained from the t - distribution table at a degree of freedom of  [tex]df =  14[/tex] is  

      [tex]P(t >1.3417 )  =  0.10052569[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value  =  2 *  P(t >  1.3417)[/tex]

=>    [tex]p-value  =  2 *   0.10052569[/tex]

=>   [tex]p-value  =  0.201 [/tex]

From the values obtained we see that [tex]p-value  >  \alpha[/tex] hence

The decision rule is  

Fail to  reject the null hypothesis

The conclusion is  

The cooling system changes the temperature of the water by 6 degrees.

 

Simplify the expression and enter your answer below.
(191/99

Answers

Answer:

the correct answer is 1 92/99

what is 1423 divided bye 789

Answers

Answer:

1.8

Step-by-step explanation:

Answer:

use calculator

Step-by-step explanation:

search calculator on google

What is the product?​

Answers

This is the product for the answer you need just press on it.

What is the quotient of -5.2 / 3.9 ?

Answers

-1.3 with a vinculum.

Need help with both 7 and 8

Answers

You are correct with both
7. Part 1: 15 mins x 7 days = 105 mins per week. Part 2: example- Veronica sold 15 cookies a day for 7 weeks, how many cookies did she sell? ( you just need to add the second part)
8. Part 1: 36 tables x 5 people = 180 people part 2: 288 divided by 36 = 8 people ( you got it right )

Multiply 2 3/4 x 1 1/3. Write your answer in simplest form

Answers

so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.

2 3/4  *  1 1/3

= 12 / 4  * 4/3

now multiply normally

= 48 / 12

divide this by 4/4 to get simplest for

= 12 / 3 divided by 3/3

= 4/1

Step-by-step explanation:

There are 40 players on Bill's football team, 2/5 of the players walk to practice and 1/4 of the players ride with their parents. The remaining players ride the bus. How many students ride the bus?

Answers

Answer:

22 students.

Step-by-step explanation:

There are a total of 40 players on the football team. 2/5 walk, 1/4 ride with their parents, and the rest ride the bus. To solve, I'm going to be using fractions to find out how many students ride the bus.

1/4 of 40 or 40/4 is equal to 10.

So we know 10 players ride with their parents.

2/5 of 40 or 40/5 is equal to 8.

Cool, 8 students walk to practice.

Now the rest ride the bus. Let's use addition to find the total amount of players that dont use the bus and subtract it from the total amount of players.

10+8=18

40-18=22.

22 students/players ride the bus to football practice.

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