Given the arithmetic sequence below, write the general formula in simplified terms and
find the 110th term.
-3,2, 7, 12...

Answers

Answer 1

Answer:

542

Step-by-step explanation:

-3, 2, 7, 12

-3 + x = 2 x = 5

2 + x = 7 x = 5

7 + x = 12 x = 5

If you want to find the 3rd term in the sequence and you start with the first number, then you do this:

-3 + (2 * 5) = -3 + (10) = 7

The same goes for the 110th term:

-3 + (109 * 5) = -3 + (545) = 542

The formula to find the nth term is:

f(n) = n(0) + (n-1) * 5

Suppose n(0) = -3 then

f(110) = -3 + {(110-1) * 5}

f(110) = -3 + {(109) * 5}

f(110) = -3 + (545) = 542

You can simplyfy f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (5n-5)

f(n) = n(0) + 5n - 5

f(110) = -3 + (5 * 110) - 5

f(110) = -3 -5 + (550)

f(110) = - 8 + 550

f(110) = 542


Related Questions

According to a recent survey, 81 percent of adults in a certain state have graduated from high school. If 15 adults from the state are selected at random, what is the probability that 5 of them have not graduated from high school?

Answers

Answer:

0.090401

Step-by-step explanation:

Given that:

Probability of graduate = 81% = 0.81

P( not graduate) = p = (1 - 0.81) = 0.19

1 - p = 0.81

Using binomial distribution :

P(x = x) = nCx * p^x * 1-p^(n-x)

n = 15 ; x =5

P(x = 5) = 15C5 * 0.19^5 * 0.81^(15 - 5)

P(x = 5) = 15C5 * 0.19^5 * 0.81^10

P(x = 5) = 3003 * 0.0002476099 * 0.12157665459056928801

P(x = 5) = 0.090401

Answer:

D:   (15/5) (0.19)^5 (0.81)^10

Step-by-step explanation:

I’m doing a percent equation and I need help here is the question 90% of blank =72

Answers

Answer:

80

Step-by-step explanation:

90/100*x=72

9/10*x=72

x=72*10/9

x=80

Help please



Show two different ways to factor
-2x - 10

Answers

-2(x+5) OR 2(-x-5) I hope that helps if not please let me know!

NEED HELP ASAP!

Betsy buys three lamps and two end tables and pays $520. Her friend Tina buys two lamps
and RETURNS an end table and only pays $20. What do the lamps and end tables cost?

Answers

9514 1404 393

Answer:

lamp: $80end table: $140

Step-by-step explanation:

If we let x and y represent the costs of a lamp and end table, respectively, the two purchases can be written as ...

  3x +2y = 520

  2x -y = 20

__

These equations can be solved many ways. If we use "elimination", we can add twice the second equation to the first to eliminate y:

  (3x +2y) +2(2x -y) = (520) +2(20)

  7x = 560 . . . . simplify

  x = 80 . . . . . . divide by 7

  y = 2x -20 = 2(80) -20 = 140

The cost of a lamp is $80; the cost of an end table is $140.


Find the value of y if the value of x is 2 for each equation and match it with the appropriate result.
2 + y = 5

3x + 2y = 6

2x + y = 6

5x + 3y = 4

drag & drop the answer
-2
3
-3
0
2
2

Answers

9514 1404 393

Answer:

  3, 0, 2, -2

Step-by-step explanation:

Put x=2 into each equation and solve for y.

2 + y = 5

  y = 5 -2

  y = 3

3x +2y = 6

  3·2 +2y = 6

  2y = 6 -6 = 0

  y = 0

2x +y = 6

  2·2 +y = 6

  y = 6 -4

  y = 2

5x +3y = 4

  5·2 +3y = 4

  3y = 4 -10 = -6

  y = -2

A cube with a volume of 75 cm is dilated bya factor of 5.
What is the volume of the dilated cube?
Enter yOur answer in the box
cm

Answers

Answer:

The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.

Step-by-step explanation: If thats

not right, then i am sorry, i am just getting started

i need some help with this

Answers

Answer:

a) 6.1 feet

b) 12.6 feet

Step-by-step explanation:

Using trigonometric ratios we know that:

[tex]sin = \frac{opp}{hyp}\\cos = \frac{adj}{hyp}\\tan = \frac {opp}{adj}[/tex]

AKA SohCahToa.

To find the height, we will use sine.

[tex]sin(26^o)= \frac{x}{14}\\14*sin(26^o)=\frac{x}{14}*14\\14sin(26^o)=x\\x=6.14[/tex]

To find the length we will use cosine.

[tex]cos(26^o) = \frac{x}{14}\\14*cos(26^o)=\frac{x}{14}*14\\14cos(26^o)=x\\x=12.6[/tex]

Which decimal represents the shaded portion?

Answers

Answer: 1.4

Step-by-step explanation:

1 of 4 are shaded.

( not sure but i think)

.25
Only 1/4th is shaded, .25 is a fourth of the whole

Help is...appreciated.

Answers

just divide 3.32 by 16 and then multiply that by 100. that’s get you the percent

Answer:

53%

Step-by-step explanation:

nce a year, a store offers a free frozen yogurt to its customers. Each customer can cl he flavor of frozen yogurt and one topping. There are 8 possible ways to order the fro gurt. How many flavors and toppings could the customers choose from? 4 flavors and 3 toppings 2 flavors and 4 toppings 2 flavors and 2 toppings 4 flavors and 4 toppings​

Answers

the answer would be i think they sre able to get 2 flavors

answer correctly please

Answers

Answer:

25

Step-by-step explanation:

I divided 150 by 60, I am so sorry if it’s wrong

Answer:

160!

Step-by-step explanation:

200 x 8 =? to make it easier

2 x 8 = 16 and add 100 more equals 160!

The graph shows the money that Marco earns for different numbers of days worked. How much money does he earn per day?​

Answers

Answer:

You didnt put a graph on here but all you gotta do, is add each day up then divide by how many days he works and you got your answer

Step-by-step explanation:

Select true statements

Answers

Answer:

the first one and last one are true

Step-by-step explanation:

It takes Zion three times as long to paint a room as it does Sanjay. How long does it take each person by
himself if they can paint the room together in 30 minutes?

Answers

Answer:

It takes Sanjay 40 minutes and Zion 120 minutes

Step-by-step explanation:

If it takes Sanjay x minutes, it takes Sanjay 3 * x = 3x minutes

Painting together, they spent 30 minutes

1/x + 1/3x = 1/30

4/3x = 1/30

4 * 30 = 3x * 1

120 = 3x

x = 120/3

x = 40 minutes

3x = 3 * 40 = 120 minutes

after 1 1/2 hours Chris had collected 1/4 cup of water what is the rate in cups per hour

Answers

Answer

0.167 cups per hour

Step-by-step explanation:

help no points ok yea

Answers

Answer: 1, it’s a continuous cuz it’s a line and not dots

2, I think the notation u use is f(x) = 50+25x

3, D: - infinity, infinity

4, R: - infinity, infinity

Step-by-step explanation:

Google hope it helps

Write the sentence as an inequality and graph it; a number n is less than or equal to -7 or greater than 12.

Answers

Answer:

n <_-7 > 12

Step-by-step explanation:

A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation were $150,000 and $17,000 respectively. The real-estate company also appraised the market value of 45 homes in Aranui and found that the sample mean and standard deviation were $100,000 and $12,000 respectively. Calculate the 90% confidence interval estimate for the population difference in market value between the Lyttelton and Aranui areas .

Answers

Solution :

                    Sample size       Sample mean             Sample S.D.

Sample 1        [tex]$n_1=36$[/tex]              [tex]$\bar{x}_1=150,000$[/tex]               [tex]$s_1=17,000$[/tex]

Sample 2       [tex]$n_2=45$[/tex]              [tex]$\bar{x}_2=100,000$[/tex]               [tex]$s_2=12,000$[/tex]

[tex]$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$[/tex]

   = 60

Therefore, significance level, α = 0.1

Critical value, t* = 1.6706

So, the margin of error, [tex]$t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$[/tex]

                                          = 559.9896

Lower limit, [tex]$(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$[/tex]

Upper limit,  [tex]$(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$[/tex]

Therefore 90% C.I. is (44402.0104, 55597.9896)   or [tex]$44402.0104 < \mu_1 - \mu_2 < 55597.9896$[/tex]

1680 at 12% for 6 months

Answers

Answer:

Could you please expand on your question? Once you do I will edit the answer I put (this) to telling the answer. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Which statement correctly compares the constants of variation for the graph and the equation below?
4
3
10x
Зу
-5-4-3-2
1
2
3
4
5
X
The graph has a greater constant of variation.
The equation has a greater constant of variation.

Answers

Answer:

2

Step-by-step explanation:

Answer:

the equation has a greater constant of  variation

Step-by-step explanation:

got it right on edge

It took Melanie ⅓ of an hour to ride her bike 2¾ of a mile. How many miles per hour can Melanie ride her bike?

Answers

Answer:

8.25 or 8 [tex]\frac{1}{4} \\[/tex]

Step-by-step explanation:

Sam is interested in buying a TV. At Walmart, the TV is regularly prices at $599.99 and is on sale for 20% off the regular price. At Best Buy, the same TV is regularly prices at $899.99 and is on sale for 30%off the regular price.

What is the difference in the sale price of the TV between these two stores?

Show your work.

Answers

Answer:

If 30% of 599.99 is 197.99 and 30% of 899.99 is 269.99 then you subtract 269.99-197.99= $72

Step-by-step explanation:

Hope this helped you!! Give brainliest.

what is the answer to y=-6x-3, -8x-3y=-1.

Answers

Answer:

I am in middle school

Step-by-step explanation:

..

Maria made 252 calls in 36 days. What is the average number of calls he made in a day?

Answers

Answer:

7 calls in a day

Step-by-step explanation:

You divide 252 by 36 which equals 7

Answer:7 calls in a day

Step-by-step explanation:

Help please ASAP 10 points

Answers

Answer:

The answer is D

Step-by-step explanation:

Because parallel means "(of lines, planes, surfaces, or objects) side by side and having the same distance continuously between them." - Google Dictionary

This means that if you draw two lines next to each other and no matter how far they go on, they will never meet.

You can remember this by looking at the two L's in 'parallel' and seeing how they will never meet - because they are parallel to each other

Hope this helped you!!!

:)

We want to find the zeros of this polynomial:
p(2) = (2x - 1)(x+3)(x + 1)(x - 2)
Plot all the zeros (x-intercepts) of the polynomial in the interactive graph.

Answers

Answer:

How do you find the zeros of a polynomial graphically?

Step-by-step explanation:

If we graph this polynomial as y = p(x), then you can see that these are the values of x where y = 0. In other words, they are the x-intercepts of the graph. The zeros of a polynomial can be found by finding where the graph of the polynomial crosses or touches the x-axis.

The area of the trapezoid is 14 square feet. Write an equation that you can use to find the value of x.



An equation is
=14.

Answers

Answer:

The answer is (2+7)*2

Step-by-step explanation:

as you can see the you have to add the bottom to the top then multiply the answer by the height to what i did was i seen if there was anything that can add to 7 with the number 2 and 5 was so put 5 at the top and multiply 7 times two you get 14  

Write the equation for the line

Answers

Answer:

y=4x+3

Step-by-step explanation:

The slope is positive 4 and the y intercept is 3

Answer:

y = 4x + 3

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept

The slope is how much units it goes up/down while how much units it goes left/right from one point to the other. So two points we'll use for reference is (-1, -1) and (0, 3). You want to make sure the points u choose are whole numbers cause they're easier to tell. So the distance between those 2 points if it goes to the right once and goes up 4 units. Left/right is x and up/down is y, y/x is how u write the slope. So it's 4/1 which is just 4

The y-intercept is just where the line intercepts on the y-axis. The line goes through the point 3 on the y-axis, so it's 3

Input the numbers in the equation and it's y = 4x + 3

at 5 p.m., the temperature began dropping 3 f every hour for 6hrs. what was the temperature after 6hrs?
time temperature
3 p.m. 14
5 p.m. 11​

Answers

Answer:

-7°

Step-by-step explanation:

every hour the temperature dropped 3° so in 6 hours it would be -7° because 3x6 is 18 and 11-18 is -7

On a coordinate plane, how are the locations of the points (1 , -7) and (1 , 7) related?

A.
reflection across the y-axis
B.
reflection across both axes
C.
locations unrelated
D.
reflection across the x-axis
HELP PLS
BRAINLIST

Answers

Answer:

D. Reflection across x-axis

Step-by-step explanation:

When plotting the two points & then connecting the dots, it will not touch y-axis at all - it will be straight line and cross x axis

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