Find the 59th term of the arithmetic sequence 26, 17, 8, ...26,17,8,

Answers

Answer 1

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant to the previous term.

we clearly see, that constant here is -9.

we start with 26.

a1 = 26

a2 = a1 - 9 = 26 - 9 = 17

a3 = a2 - 9 = a1 - 2×9 = 26 - 18 = 8

so, we see

an = an-1 - 9 = a1 - (n-1)×9 = 26 - (n-1)×9

a59 = 26 - 58×9 = -496


Related Questions

HELP PLSSSSS TY

Health Club Fees You are choosing between two health clubs. Club A offers membership for a fee of $14 plus a monthly fee of $29. Club B offers membership for a fee of $28 plus a monthly fee of $22. After how many months will the total cost of each health club be the​ same?

Answers

Answer:

2 months

Step-by-step explanation:

To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.

29x+14=22x+287x+14=287x=14x=2

When solved, x=2. This means that after 2 months the cost of each will be the same.

please help easy points

Answers

Answer:

<=3 let me know if its correct or not if it's not I'm so srry in advance if it's right your welcome


What’s the slope or fraction?

Answers

Two ways to do this
You can draw a triangle from (6,10) and (0,8), then count from vertical to horizontal: 2 triangles/6 triangles
The slope is 2/6 or 1/3

You can also use slope formula
First find any two points on graph
(0,8) and (3,9)
Remember: (y2-y1)/(x2-x1) = slope
(9-8)/(3-0) = 1/3

The slope is 1/3

What is r(-4)=(-4+1)(-4-3)? It’s apart of evaluating functions.

Answers

Answer:

21

Step-by-step explanation:

r=-5.25 btw

Tom knew that he needed to have at least
$60 to buy a bus ticket. He had $150 in his
bank account and each month he paid his
phone bill. If his phone bill is $30 a month,
how many months can he pay his phone bill
and still have enough for his bus ticket?

Answers

3 months
Subtract 60 from 150 which gives you 90 then see how many times he can pay monthly
1 month
$90 dollars in total needed to buy bus ticket and phone bill for 2 months $180 is needed so 1 month and $60 leftover

The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.

Answers

Answer:

26.55°C

Step-by-step explanation:

21.85 - - 4.7

21.85 + 4.7

26.55

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

pls pls pls helpe with this:((((((​

Answers

Step-by-step explanation:

9. option B

3,13

13 = 5(3) - 2

13 = 15 - 12 → 13 = 13

It’s B
Hope it helps!

Please help I’ll mark u as brilliant

Answers

Answer:

-2,3

Step-by-step explanation:

So that is the highest point marked on the graph.

Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?

Answers

Answer: Let x = length (in cm) of the decreasing leg at time t seconds

Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶

Sundas is making homemade greeting cards. The data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, х T(x) 4 7.50 6 9 9 11.25 10 12​

Answers

Brainliest please if correct

the function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.

What is an equation of the line that passes through the points (-6, -4)
and (-4, 0)?

Answers

Answer:

y=2x+8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (-6, -4) and (-4, 0).

There are 3 ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negative

Let's write the equation in slope-intercept form, which is the most common way to do it.

We'll need to start by finding the slope of the line

The formula for the slope calculated from two points is [tex]\frac{y_2- y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Even though we are already given two points, let's label their values in order to avoid any confusion and mistakes for later:

[tex]x_1=-6\\y_1=-4\\x_2=-4\\y_2=0[/tex]

Substitute these equations into the formula to find the slope (m):

m=[tex]\frac{y_2- y_1}{x_2-x_1}[/tex]

Substitute (remember: we have NEGATIVE numbers and SUBTRACTION, so we'll end up subtracting a negative):

m=[tex]\frac{0- -4}{-4--6}[/tex]

Simplify

m=[tex]\frac{0+4}{-4+6}[/tex]

Add the numbers together

m=[tex]\frac{4}{2}[/tex]

Divide

m=2

The slope of the line is 2

We can immediately plug it into the formula for slope-intercept form  as m:

y=2x+b

Now we need to find b

As the equation passes through both (-6, -4) and (-4, 0), we can use either one of them to solve for b

Taking (-4, 0) for example:

Substitute -4 as x and 0 as y:

0=2(-4)+b

Multiply

0=-8+b

Add 8 to both sides

8=b

Substitute 8 as b into the equation

y=2x+8

Hope this helps!

PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR

Answers

Answer:

There is no Question or no images...

Step-by-step explanation:

30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).

Answers

Answer:

-1/2

Step-by-step explanation:

The relevant relationship is ...

  f^-1'(x) = 1/f'(f^-1(x))

  f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2

  f^-1'(2) = -1/2

_____

The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).

The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.

Find the perimeter. Simplify your answer.

Answers

(6t-4) + (6t-4) + (6t-4) + (6t-4)
4(6t-4)
24t-16

the ratio of calamansi and pomelo trees in jacintos farm is 8:5. how many trees of each kind are there if there are 793 trees in his farm?

Answers

The number of trees calamansi have is 488 trees. The number of tree pomelo trees have in Jacintos farm is 305 trees

From the given information, we learnt that:

The ratio of the calamansi and  pomelo trees in Jacintos farm  = 8:5

If the total number of the ratio = 8 + 5 = 13

The proportion of the calamansi can be estimated as:

= (8/13) × 793

= 488 trees

The proportion of pomelo trees is:

= (5/13) × 793

= 305 trees

Therefore, we can conclude that the number of trees calamansi have is 488 trees and the number of tree pomelo trees have in Jacintos farm is 305 trees.

Learn more about ratio here:

https://brainly.com/question/25343092?referrer=searchResults

There are  488 calamansi trees

There are 305 jacintos trees

Let x represent the number of calamansi trees

Let y represent the number of Pomelo trees

8 +5= 13

793/13

= 61

8(61)= 488

5(61)= 305

Hence there are 488 calamansi trees and 305 jacintos trees

Please see the link below for more information

https://brainly.com/question/22078813?referrer=searchResults

What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

it's rise/run 3/2

Step-by-step explanation:

you rise positive 3 and run 2

Slope is a value that describes the steepness and direction of a line.

I need the answer FAST

Answers

Answer:

  x = -9, 4

Step-by-step explanation:

The sides are marked congruent, so you have ...

  x^2 +5x = 36

Subtracting 36 puts this in standard form:

  x^2 +5x -36 = 0

To factor this, you need to find factors of -36 that have a sum of 5.

  -36 = (-1)(36) = (-2)(18) = (-3)(12) = (-4)(9) = (-6)(6)

The sums of these factor pairs are 35, 16, 9, 5, 0.

The pair with a sum of 5 is (-4)(9), so the factorization of the quadratic is ...

  (x -4)(x +9) = 0

The solutions are the values of x that make the factors zero:

  x = 4, x = -9

Both of these solutions work in this problem.

Which set of ordered pairs does not represent a function?

O {(-7, -8), (-7,5), (-6,0),(-1,8)}

O {(-2,4), (6,-5), (-6, -9), (1, -5)}

{(8, -2), (3,9), (-1, -5), (-3,9)}

{(9,7), (2,7), (-8, -3), (-1,1)}

Answers

Answer:(-7, -8), (-7,5), (-6,0),(-1,8)

Step-by-step explanation:

Functions are relations with one output (y) for any unique input (x).

The first set has two values of y when x = -7:  -8 and 5.

The other sets have unique values for each x.

Steve bought 7 boxes of pencils. Each Box contained 9 pencils. He wants to give each of his 6
friends as many pencils as possible and keep the rest. Which statement is true?

Answers

Answer:

A

Step-by-step explanation:

7*9=63

63/6= 10 remainder 3

Therefore each friend gets 10 boxes of pencils and Steve gets the leftover 3 boxes of pencils

Write the given equation of a line that passes through the given point (-2,-1) and (0,-5)

Answers

Step-by-step explanation:

2x+y+5=0 is the required equation of the line

Pls help me solve this

Answers

Answer:

F. Yes, by the SAS Congruence Theorem

Explanation:

In △ABC and △EDC:

BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)

Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.

△ABC ≅ △EDC

Will give brainly if correct

Answers

Hi,

1 mile ≈ 1,6 kilometers

a.

11,9 miles ≈ 11,9 * 1,6 = 19,04 kilometers

b.

46,2 miles ≈ 46,2 * 1,6 = 73,92 kilometers

c.

121 miles ≈ 121 * 1,6 = 193,6 kilometers.

→ * = multiplication

✅(. ❛ ᴗ ❛.)

candy comes in large bags of 75 candies, a 1 pound bag, and a large bags with multiple fun-size packs. Jenny randomly opened 12 of the fun-size packs of candies from a bag. The colors she found in each pack are shown in the table.

How does the mean number of reds found in the samples compare to the mean number of purples? Is Jenny more likely to get more of one particular color if she opened 12 more packs of candies.​

Answers

Answer:

the mean of the red is 1.75, while the mean of the purple is 2.25

Step-by-step explanation:

LMK if this helps!

hope it does!

The mean number of red (1.75) is 0.5 less than the mean number of purple.

What is Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.

Jenny randomly opened 12 of the fun-size packs of candies from a bag.

The mean number of reds will be

[tex]\rm Mean_{r} = \dfrac{2+1+4+2+1+2+1+0+1+3+3+1}{12}\\\\Mean_{r} = \dfrac{21}{12}\\\\Mean_{r} = 1.75[/tex]

The mean number of purples will be

[tex]\rm Mean_p = \dfrac{2+2+1+3+5+2+2+2+4+2+2+0}{12}\\Mean_p = \dfrac{27}{12}\\\\Mean_p =2.25[/tex]

The mean number of red (1.75) is 0.5 less than the mean number of purple.

More about the mean link is given below.

https://brainly.com/question/521501

The vertices of a triangle are A (-2, 3), B (5, 10), and C (12-4). Find the coordinates of the intersection of the medians.

The intesection of the 2 medians is at __​

Answers

Answer:

a number

Step-by-step explanation:

not a letter

Explain in detail how would you plot the points -1, 5, -2.5, -3, and 2 on the number line. What is the order of the numbers?

PLEASE HELP!!
WILL GIVE BRAINLIEST
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED!!!

Answers

Answer:

-3 -2.5 -1 2 5

Step-by-step explanation:

In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.

2/7 convert it into percentage
friends i only need solution i know the answer the one who answer i will mark them as brainleast

Answers

Answer:

22.22%

Step-by-step explanation:

2/7 = 0.22222...

Convert to a percent - move decimal over by 2

22.22

Answer:

≈ 28.57%

Step-by-step explanation:

To change a fraction to a percentage, multiply the fraction by 100% , that is

[tex]\frac{2}{7}[/tex] × 100%

= [tex]\frac{2(100)}{7}[/tex]

= [tex]\frac{200}{7}[/tex]

≈ 28.57% ( to 2 dec. places )

The graph of a function is shown:

Answers

Answer: a) {-3, -1, 3, 4}

Step-by-step explanation:

f(x) is the output, and x is the input.

Hope it helps :) and let me know if you want me to elaborate.

Decide which of the following numbers does not belong in the group.


108

502

603

360


And why does it not belong?

Answers

Answer:

603 because it’s odd

360 because it doesn’t have a 0 in the tens place

502 because the sum of the digits doesn’t equal 9

mrs peele has 11 1/4 pounds of cookie dough a batch of cookies requires 2 1/2 of cookie dough how many batchesof cookie dough can mrs peele make

Answers

Answer:

4.5 lbs

Step-by-step explanation:

just divide 11.25 by 2.5

help me help me help me help me helpppppp me

Answers

Answer:

yes,

She has enough..She needs of 6 ounces+16/4=4 tantamount of 10 ounces, She would have extra one ounce.

Step-by-step explanation:

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