Determine if the sequence 2​, ​8, ​17, ​29, ... is arithmetic. If it​ is, determine the first term a and the common difference d.Is the sequence ​2, 8​, ​17, 29​, ...​ arithmetic?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Starting with 2, the step to the next number is 6.  Each step increases by 3.

When you are on 8, the next step is an increase of 9.  The next step is an increase of 12,  The next step not shown would increase by 15 for give you 44.

So the first step would be 3 below the number 6 which would be subtracted from 2 to give you - 1 as your first starting point.

The common difference is 3(n) where n is an integer starting with 0 and incrementing by 1 with each new Y2 and Y1 is  -1.

The equation Y2 = 3(n+1) + Y1    where n=0


Related Questions

Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. He writes the following conjecture: The measures of the three angles of a triangle add up to 180°. Which of the following statements is true

Answers

Complete question is;

Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. he writes the following conjecture: the measures of the three angles of a triangle add up to 180°. which of the following statements is true?

a. jonas believes that his conjecture only applies to the triangles he drew and measured.

b. jonas believes that his conjecture only applies to the triangles he drew and measured.

c. jonas believes his conjecture is true for all triangles.

d. none of the above.

Answer:

C. jonas believes his conjecture is true for all triangles.

Step-by-step explanation:

A conjecture in maths is simply a conclusion or a proposition that is like an educated guess which is likely to be true due to supporting evidence from preliminary study or research. However, it is just like a hypothesis for which no proof or disproof has been gotten.

Now, to the question, he came up with that conjecture after drawing so many triangles. So it means he is making a generalized statement for every triangle and not just the ones he drew.

Thus, the correct answer is Option C.

10 Points if you answer this!!!!

Answers

Answer:

1 result(s) found

25

9⋅(r−25)

​  

 

Step-by-step explanation:


2. Use prime factorization to find the
LCM of 30 and 75.

Answers

Answer:

150 is the LCM for 30 and 75

What is the sum of (-3)+(200)-(50)?

Answers

Answer:

147 is your answer.

Suppose that cot θ = c and 0 < θ < π 2 . what is a formula for cos θ in terms of c?

Answers

Answer:

cosθ = c/√1+c²

Step-by-step explanation:

Given cot θ = c and 0 < θ < π/2

In trigonometry identity:

cotθ  = 1/tanθ = c

1/tanθ = c

cross multiply

tanθ  = 1/c

According to SOH, CAH, TOA:

Tanθ = opposite/adjacent = 1/c

cosθ = adjacent/hypotenuse

To get the hypotenuse, we will use the pythagoras theorem:

hyp² = opp²+adj²

hyp² = 1²+c²

hyp = √1+c²

Find cosθ in terms of c

cosθ = c/√1+c²

Hence the formula for cos θ in terms of c is cosθ = c/√1+c²

please simplify this expression: -2x+11+6x

Answers

Answer:

4x+11

Step-by-step explanation:

−2x+11+6x

Combine Like Terms:

=−2x+11+6x

=(−2x+6x)+(11)

=4x+11

After simplifying the expression is 11 + 4x .

Given,

-2x+11+6x

Now,

Equation : -2x+11+6x

Combine the like terms and simplify further ,

So,

11 -2x + 6x

11 + 4x

Thus the simplified form is 11 + 4x .

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Leslie played Tetris yesterday. She said, "If you multiply my score by 6, then
increase it by 45, then divide that answer by 3, you will get exactly 835.” What was
Leslie's score? Please explain step by step.

Answers

Answer:

(6x+45)÷3=835

2x+15=835

2x=820

x=410

Lesile's score is 410

Indicate which property is illustrated in Step 2
7 + (1 + 7) + 0 = 7+ (7 + 1) + 0
= (7 + 7) + (1 + 0)
= (7 + 7) + 1
= 14 +1
Step 1
Step 2
Step 3
Step 4
OA. commutative property of multiplication
OB. identity property of addition
oc. distributive property
OD. associative property of addition

Answers

Answer:

the associative property of addition i think

Step-by-step explanation:

I need help on this please!!

Answers

Answer:

Step-by-step explanation:

1. Height of the equilateral triangle = a√3/2

8√3/2=4√3=6.9

2. 60 (equilateral triangle means all three sides and angles are equal)

The mean salary of 5 employees is $42200. The employee salaries have 2 modes: $32500 and $52000. If the median salary gets a $2000 raise, then....

a) what is the new mean?
b) what is the new median?

Answers

Answer:

I believe the answer is

Step-by-step explanation:

mean is 42,200 and median is 26,000

n Ms. Ayala's class, 45% of the students regularly play video games. If 18 students regularly play video games, how many students are in the class?

Answers

Answer:

40 students

Explanation:

So its 45% out of 100%. multiply 18 by 100% and divide it by 45 and you get 40

What would be an appropriate label for the y-axis? Captionless Image

Answers

For wat kinda graph ND wat topic

Which expression can be used to convert 5 meters per second to km per hour?

Answers

Answer:

i dont even know duh

hehehe

Step-by-step explanation:

15 tens 7 ones what is the answer?

Answers

Answer:

157

Step-by-step explanation:

Answer:    15 tens and 7 ones in standard form would be 157. If you have 15 tens this means that you are adding 10, 15 times or multiplying 10 by 15, which gives you 150.

Step-by-step explanation: Hopefully this helped!

A carpenter cut a 13 1/2 foot piece of wood into 3/4 foot pieces. After cutting the wood, how many pieces did the carpenter have

Answers

Answer:    

18

Step-by-step explanation:

Turn the mixed number into an improper fractions: 13 × 2 = 26, 26 + 1 = 27Re-write improper fraction: [tex]\frac{27}{2}[/tex]  [tex]\frac{27}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3}[/tex]  [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3} = \frac{108}{6}[/tex]  108/6 = 18

I hope this helps!

Anyone ??? Help with this one

Answers

Answer:

(4x-3y)(4x+3y)

Step-by-step explanation:

This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)

Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].

It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.

Now, you need to do (4x-3y)(4x+3y)

Hope this helps

Think about the expansion for the binomial

(2x - y2)6.

The first term of this binomial is 2x.

The second term of this binomial is -y2.

What is the correct formula for the fifth term in this binomial expansion?


A)6C4(2x)4(-y2)2

B)6C4(2x)2(-y2)4

C)6C5(2x)(-y2)5

Answers

Answer: B

6C4(2x)2(-y2)4

Step-by-step explanation:

2020 edge

608 thousands minus 1 hundred thousand

Answers

Answer:

607 thousand

Step-by-step explanation:

Answer:

508,000

Step-by-step explanation:

608000 - 100000 = 508,000

I hope this helps!

Why was Russia slow to modernize?

Answers

Answer:

Russian modernization was slow to take place because the concepts of modernization conflicted with the autocratic power structure itself and amplified social conflicts in the country.

Explanation:

Alexander II, amid internal problems, sought to modernize the country and expand its domains in Asia. to this end, he abolished servitude and instituted wage labor on a large scale. Alexander II even established councils, the Ziemstvos, responsible for political participation in Russian lands, but still under the tutelage of the Tsar. Newspapers and magazines were created and, apparently, Russia was moving towards political modernization.

However, ethnic minorities organized themselves and demanded autonomy or political apparatus of representation within the Empire, which affected the autocratic power of the tsar. Alexander II responded to these movements with the force of arms, and massacres were perpetrated by his order. As it was understood that the modernization of the country threatened the autocracy of the current government, the Tsar decided to delay the modernization of the country.

Step-by-step explanation:

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Can somebody help me with this pleaseee I need help

Answers

Answer:

3.225

Step-by-step explanation:

15%= 15/100

therefore 15% tip of 21.50

15/100×21.50 = 3.225

Exercise 6.11 presents the results of a poll evaluating support for a generic "National Health Plan" in the US in 2019, reporting that 55% of Independents are supportive. If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?

Answers

Answer:

The sample size is   [tex]n =6697[/tex]

Step-by-step explanation:

From the question we are told that

    The  population proportion is  p =  0.55

    The  margin of error is  E  =  0.01

 

Given that the confidence level is  then the level of significance is mathematically represented as

      [tex]\alpha = (100 -90)\%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Gnerally the sample size is mathematically represented as

     [tex]n = \frac{[Z_{\frac{\alpha }{2} }]^2 * p(1-p)}{E^2}[/tex]

=>   [tex]n = \frac{1.645^2 * 0.55(1-0.55)}{0.01^2}[/tex]

=>    [tex]n = \frac{1.645^2 * 0.55(1-0.55)}{0.01^2}[/tex]

=>    [tex]n =6697[/tex]

1 6+ 7 + 4x = x + 3x + 7 pls show work

Answers

Answer: x=2                Please mark as brainliest

Step-by-step explanation: 16+7+4x=x+3x+7

combine like terms:            23+4x=4x+7

get x to one side:                  23=8x+7

subtract:                                   16=8x

divide:                                          x=2                                  

Josh’s walking stick is 4.875 feet long what is the same length written as a mixed number

Answers

4 219/250 is 4.875 as a mixed number

Question 2

20 pts

If the domain of the coordinate transformation f(x, y) = (y + 2,- x - 4) is (1,-4), (3,-2), (0.-1), what is

the range?

O (-5,-2), (-7,0).(-4,1)

O (3.0), (5.-2), (2,-3)

0 (0,3), (-2,5),(-3,2)

O (-2,-5), (0, -7), (1, -4)

Answers

Answer:

D. (-2,-5), (0, -7), (1, -4)

Step-by-step explanation:

From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of [tex]f(x, y) = (y+2, -x-4)[/tex], which are: [tex]A(x,y) = (1, -4)[/tex], [tex]B(x,y) = (3,-2)[/tex] and [tex]C(x,y) = (0,-1)[/tex].

Then we proceed to find all elements of range:

[tex]A(x,y) = (1, -4)[/tex]

[tex]f(1,-4) = (-4+2,-1-4)[/tex]

[tex]f(1,-4) = (-2,-5)[/tex]

[tex]B(x,y) = (3,-2)[/tex]

[tex]f(3,-2) = (-2+2,-3-4)[/tex]

[tex]f(3,-2) = (0,-7)[/tex]

[tex]C(x,y) = (0,-1)[/tex]

[tex]f(0,-1) = (-1+2,0-4)[/tex]

[tex]f(0,-1) = (1,-4)[/tex]

Which corresponds to option D.

Point B is on line segment AC. Given BC

7 and AC

11, determine the length

AB.

Answers

Answer:

4

Step-by-step explanation:

Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.

The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.

What is a line segment?

A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.

Given:

Point B is on the line segment AC, BC = 7 and AC = 11,

Write the expression for the above phrase as shown below,

The length of the AC = The length of AB + the length of BC

11 = 7 + The length of AB

The length of AB = 11 - 7

The length of AB = 4

Thus, The length of AB is 4.

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The temperature at 6:00 P.M. was 3°C. At midnight, the temperature was -2°C.

What real number represents the change in temperature

Answers

Answer:

-5 degrees

Step-by-step explanation:

In this scenario, since the final temperature was the temperature that existed at midnight then that value is subtracted from the initial temperature which was at 6:00 PM. Therefore we do the following calculation...

(-2) - 3 = x

-5 = x

Finally, we can see that there was a change in temperature of -5 degrees between 6:00 P.M. and Midnight. Meaning that the temperature during this time dropped a total of 5 degrees. Since, real numbers include negatives then the answer to this question is -5 degrees

magazine subscription cost $29.88 for 12 issues or $15.28 for six issues which subscription cost more per issue

Answers

Answer:

$15.28 for 6 issues cost more

Step-by-step explanation:

$29.88 divided by 12 is $2.49

$15.28 divided by6 is $2.546

Scott and Lana ride bikes a total of 64 miles in a week. Lana rides 8 fewer miles than Scott. How many miles does Lana ride each week?

A) 28
B) 36
C) 56
D) 72

Answers

Answer: 56

Explanation: 64-8=56

Answer:

Welcome to Brainly! The answer is C. 56

Step-by-step explanation:

PLEASE HELP IT'S DUE NOW!!

Karina had $32 when she arrived at the carnival. After riding six rides, she had $17 left. Solve 32 - 6x = 17 to find the price of each ride.

Answers Choices:
A. $2.50
B. $8.17
C. $9.00
D. None of the above

If you answer, thanks SO much!!!

Answers

Answer: It is A. What grade are you in

Step-by-step explanation:

Answer:

A. 2.50

Step-by-step explanation:

32 - 17 = 15, so you lost 15 dollars.

15 divided by 6 = 2.50

A music website sold 68 single songs and 40 albums today. The number of single downloads has been increasing by 12 each day. The number of album downloads has been decreasing by 2 each day. If these trends continue, in how many days will the number of single downloads be 5 times the number of album downloads?

Answers

Answer:

In 66 days will the number of single downloads be 5 times the number of album downloads

Step-by-step explanation:

For the music website, we know 68 single songs and 40 albums were sold today.

The number of single downloads increases by 12 each day. This means that in t days, there will be:

68 + 12t single downloads

The number of album downloads increases by 2 each day. In t days, there will be:

40 + 2t

We need to find when the following condition is met:

68 + 12t = 5(40 + 2t)

Operating:

68 + 12t = 200 + 10t

Rearranging:

12t - 10t = 200 - 68

2t = 132

Solving:

t=132 / 2

t = 66 days

In 66 days will the number of single downloads be 5 times the number of album downloads

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