Find the 60th term of the arithmetic sequence -10, 8, 26,

Answers

Answer 1

Answer:

a₆₀ = 1052

Step-by-step explanation:

There is a common difference between consecutive terms , that is

8 - (- 10) = 26 - 8 = 18

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 18 , then

a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052

Answer 2

Answer:

a(60) = 1052

Step-by-step explanation:

Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again.  Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:

a(n) = -10 + 18(n - 1)

Therefore, the 60th term is

a(60) = -10 + 18(59), or

a(60) = 1052


Related Questions

Someone plz help me :(

Answers

Answer:

should be 7 let me know if i'm wrong

A. 7 is the correct answer

Help ASAP will mark Brainly to who ever answers 1st

Answers

Answer:

Step-by-step explanation:

the bottom left is the answer. I hope this helps.

Jim Climbed 80 mountains in 10 months. Find his climbing rate in mountains per month

Answers

Answer:

If he climbed 80 mountains in the span of 10 months then you should divide the 80 by 10 which makes it 8.. so I believe the correct answer is 8 mountains per month

Answer:

Jim climbed 8 mountains per month and 10 mountains in 1.

Step-by-step explanation:

This means that he can climb 8 times as many mountains in one year, whether that is within the next 9 months or not depends on how much time he has available to do it.

The area of a square is 300 feet. What is the side length of the square? Round to the nearest tenths place.

Answers

Answer:

17.3

Step-by-step explanation:

square root of 300 is 17.32050808

17.32050808 rounded is 17.3

Determine the number of solutions you will have for the system: 1/3x+y=2 and 3y=6-x





One solution.


No solutions.


Infinite solutions.


Impossible to determine.

Answers

Answer:

infinity solution

solution:

-x-3y=-6

x+3y=6

Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.

three eighths plus seven sixteenths equals blank
Question 2 options:

thirteen sixteenths

ten twenty fourths

ten sixteenths

four sixteenths

Answers

Answer:

thirteen sixteenths

Find values of x and y

Answers

Answer:

x=15

y= 21

Step-by-step explanation:

6x-11+x+5+81=180

6x+x+86-11=180

7x+75=180

-75. -75

7x=105

--- ----

7. 7

x=15

substitute the x value we just got into the following equation to find y

4y-18+y+14+6x-11=180

4y-18+y+14+6(15)-11=180

4y+y+14+79-18=180

5y+75=180

-75 -75

5y=105

---- -----

5. 5

y=21

3. Consider the product -11 7 6/7.
(a) Determine the product by rewriting the mixed number and applying the distributive property. What is the product?
(b) Multiply the integer and mixed number by multiplying fractions. What is the product?

Answers

Answer:

Did you get the answer to this. I am struggling on this as well.

Step-by-step explanation:

solve the proportion (someone pls help)

Answers

x=6

Step-by-step explanation:

4/3=8/6

[tex]\huge\underline\mathtt\colorbox{cyan}{As SIMPLE as that}[/tex]

What are the 3 primary ways to migrate client data to QuickBooks Online

Answers

Answer:

Use the Import Data tool. Use the Export Data tool. Enter data manually into the QuickBooks Online forms and check registers. Use the Attachments tool

John bought a full 1 liter bottle of soda. He drank half of it. How many milliliters of soda does John have left?

Answers

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = 500 ml

Question 11 options:
The area of a rectangle is 80 cm2.

The length is x – 8, and the width is x + 8.

Find the value of x, and the dimensions of the rectangle.
A = lw

Answers

Answer:

x = 12

length = 4 cm

width = 20 cm

Step-by-step explanation:

a = lw

Plug in the givens

80 = (x - 8)(x + 8)

Multiply

80 = x^2 - 64

Add 64 to both sides

144 = x^2

Take the square root of both sides

x = ±12

(The negative root is extraneous since the dimensions can not be negative)

x = 12

length = x - 8 = 4 cm

width = x + 8 = 20 cm

PLEASE FIND THE MEASURE OF X

Answers

Answer: 3.42

Step-by-step explanation: use trig equations. Sin 20 = x/10. Multiply both sides by 10. Sin (20) times 10 is 3.42

Answer:

x = 3.42

Step-by-step explanation:

For the 20° angle, x is the opposite leg.

10 is the hypotenuse.

sin A = opp/hyp

sin 20° = x/10

x = 10 × sin 20°

x = 3.42

(4x+2)(x-3)
Expand and simplify

Answers

[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]

[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]

Answer:

Step-by-step explanation:

(4x + 2)(x - 3) =4x *(x -3) + 2*(x -3)

                    = 4x*x - 3*4x + x*2 - 3*2

                    = 4x² - 12x + 2x - 6   {Combine like terms}

                    = 4x² - 10x - 6

what is the hcf of 18 27 and 81 by prime factorization​

Answers

Answer:

9

Step-by-step explanation:

It's been a while since i've dealt with prime factors hopefully this is correct.

BRAINLIEST
please help me ty
You can just do two questions or even just one but I would appreciate all

Answers

Answer:

Some answers for #4 I think!

a = 36

b = 90

c = 36

d = 90

e = 54

Sorry if they are wrong I tried my bestest!

How long did it take a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s?

Answers

Should be 2 seconds unless I’m not smart

It will take 2 seconds a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s.

What is division?

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given:

A constant acceleration is of 50 meter per second.

A jet to accelerate from 200 m/s to 300 m/s.

Acceleration is 100 meters per 2 seconds.

That means,

it will take = (300 - 200)/ 50 m/s

                = 2 seconds.

Therefore, it will take 2 seconds.

To learn more about the division;

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A water pipe can fill an empty pool in 3 hours. When the pool is full, an open drain can empty the pool in 4 hours. Using the water pipe with the drain open, how many hours will it take to fill the empty pool? I give brainliest

Answers

Answer:

Step-by-step explanation:

Even though this seems like a crazy trick question it isn’t. An empty pool with a closed drain takes 3 hours to fill. A full pool with and open drain takes 4 hours to empty. So to fill and empty pool with an open drain, i’d say in my opinion it’d either take 7 hours or you wouldnt be able to fill it at all. I mean it’s an open drain

hope this helped :3

:3 byeeeeeeeeeeeeeeeee

Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5).

Answers

Answer:

y+5=3(x-2).

Step-by-step explanation:

1) according to the condition m=3; x₁=2; y₁= -5, then

2) the required equation is y+5=3(x-2).

To have a balanced budget, you must ___
A have your gross pay equal your spending
B have your net income equal your spending
C have your gross pay equal your spending and savings
D have your net income equal your spending and savings​

Answers

A because they have to balance your spending and earning

Answer:

D have your net income equal your spending and savings.

Step-by-step explanation:

I did A and got it wrong, D is the correct answer.

What is a standard form equation of the line through (0,-3) with slope 2/5?

Answers

Answer:

-1 = -1

Step-by-step explanation:

y = mx + b

y=-3  x=0 and m=2/5

-3 = (2/5)0 + b

Since 2/5(0) is 0, b must be -3.

So the equation is y = (2/5)x - 3

Add the slope to the given point and you get (5, -1)

-1 = (2/5) 5 - 3

-1 = 2 - 3

-1 = -1

Please help asap and please no links or answering just for points!! I’m already stressed :(

Answers

Answer:

let the number be x

wo a/q we have,

4x + 5 = 7

hope this answer helps you dear! take care

solve 3/4x-5=x
Give your answer correct to 2 decimal places

Answers

Answer:

x=1.69 or x=-0.44

Step-by-step explanation:

1) multiply both sides by 4x-5 to give 3=x(4x-5)

expand this ------>3=4x^2 - 5x

2) bring the 3 on the other side by subtracting 3

4x^2 - 5x - 3 = 0

3)use quadratic formula where a is 4, b is -5 and c is -3

[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]

[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]

The value of x in the equation 3 / 4x - 5 = x is -20.

What is the equation?

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

3 / 4x - 5 = x

Solve the above equation as shown below,

x = 3 / 4x - 5

x - 3 / 4 x = -5   (Transform the variable on the left side and constant on the right side)

4x - 3x / 4 = -5

x / 4 = -5

x = 4 × (-5)

x = -20

Thus, the value of x is -20.

To know more about equation:

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level Easy:

A football team loses 6 yards on their first play. it gains 8 yards on the next play. What is the sum of -6+8?

good luck :))

Answers

Answer:

2

Step-by-step explanation:

when you add -6 and 8 you'll get 2

The answer is 2 because you add then u subtract!

solve pls brainliest

Answers

1. Yes. Terminating decimal. 2. Yes. Repeating decimal. 3. Yes. Repeating decimal. 4. No. Neither

Represent the following on a line graph
Time Temperature o F

­5: 00 AM - 40

8:00 AM - 50

11: 00 AM - 60

2: 00 PM- 60

5: 00 PM- 30

8:00 PM- 20

If you could like draw one and attach it or a online version that would be great just need it represent.

Answers

Co-ordinates will be

(5,40)(8,50)(11,60)(14,60)(17,30)(20,20)

Use the information given to enter an equation in standard form. (6, 10) and (5, 7) are on the line.

Answers

Answer:

y=3x - 8

Step-by-step explanation:

first find slope

10 - 7/6 - 5 = 3

Point - slope

y = 3(x-6)+10

Simplify

y = 3x-18+10

y=3x - 8

will give brainliest
g(x) = 2x + 4
h(x) =-3x + 4
Find (goh)(x)

Answers

Answer:

g(x)o(x) = -6x²-4x+16

Guys help plzzzzzzzzzzzzz?!!!!

Answers

[tex]-2z -18 = -6 \\\\\implies -2(z+9)=-6\\\\\implies z + 9 = 3\\\\\implies z = 3-9 = -6[/tex]

2. Kyle owes his sister 24. He gives his sister $15 that he earned mowing
lawns. Write and simplify an addition expression to find how much Kyle
still owes his sister. (leton 2)

Answers

ok so he is owing his sister 24 and he gives her 15

so 24-15=9

but as an addition expression it will be

x+15=24

x=24-15

x=9

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