Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.

show your work.

Answers

Answer 1

Answer:

1014

Step-by-step explanation:

Remember this formula to find certain terms in arithmetic sequences:

[tex]t_{n} =t_{1} +(n-1)d[/tex]

n = term number

[tex]t_{1}[/tex] = term #1

d = common difference

Sequence = 24, 34, 44, 54...

We are looking for term #100

So we do

[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]


Related Questions

pasagot please
answer it please​

Answers

Answer:

Step-by-step explanation:

Let's start by looking at the graph of the two equations.

Since you are not looking for where the lines cross, I have chosen any 3 points for each equation almost randomly. I have not used either the x or y intercepts except once.

As a sample for the method of calculation

Let x -2y = 4

Let x = -2.             Find y and put it in the table

-2 - 2y = 4             Add 2 to both sides

-2+2-2y = 4 + 2    Combine

-2y = 6                  Divide by -2

y = 6/-2

y = - 3

Put that in the table under the first equation.

The other 5 points are done the same way.

need help with math

Answers

Ah sorry I got it wrong, dear

B. 1/2

Explanation: 1/4 of grape juice as already in the bottle and then a mixture containing orange, grape and apple filled the bottle meaning the mixture was 3/4. If the mixture contained equal amounts of each juice it means 1/3 of each juice was in the mixture so 1/4 plus 1/4(the original amount of grape juice that was in the bottle before the mixture was added) is equal to 2/4 simplify that and you have 1/2

Please help, thank you (NO LINKS!)
Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.

Answers

Answer:

the first time 4 and 6 intersent is 24

so 24 days after september 5th

september 29th

Hope This Helps!!!

It took Jason 20 days to write his college essay. He wrote half a page (0.5) every day. How long was the report?I need an explanation to so I can understand, thank you!

Answers

The report was 10 pages. This is because we know that Jason wrote half a page a day, and if he consistently wrote each day and I took him a total of 20 days to finish, all you would have to do is multiply 20 by .5 (half a page), you would then get 10, which means that in 20 days he wrote 10 pages

Jessica has £600.
She gives 50% to her mother.
Jessica gives 10% to her brother.
She keeps the rest.
How much money does Jessica keep?

Answers

Answer:

she keeps 270

Step-by-step explanation:

have of 600 is 300 10 percent of 300 is 30

300-30 is 270

If e
very day, Kim practices volleyball and clarinet. Each day, she practices volleyball for 2.5 hours. If after 8 days she practiced both volleyball and clarinet for a total of 36 hours, how many hours per day did Kim practice clarinet?

Answers

Answer:

2hours

Step-by-step explanation:

2.5×8

=20

36-20

=16

16/8

=2hours

The circumference of a circle is 14.444 miles. What is the circle's diameter?

Answers

Answer:

2.29883

formula

[tex]c = 2 \times \pi \times r[/tex]

solving for (r) radius

[tex]r = \frac{c}{2\pi} = \frac{14.44}{2 \times \pi} [/tex]

= 2.29883

What is the slope of the equation Y = 5/4x-7/4

A. -7

B. -7/4

C. 5/4

D. 5

Answers

Answer:

C. 5/4

Step-by-step explanation:

Slope formula is y=mx+b so your slope is m

In your equation y=5/4x-7/4, your slope is where m would be, so 5/4

Answer:

the slope of the equation is 5/4

Which of the following is a solution to the inequality below?19 ≥ 5k + 6

Answers

Answer:

k ≥ 13/5 or k ≥ 2.6 ( same thing )

Step-by-step explanation:

symbol stays the same throughout (≥)

subtract 6 from both sides of the symbol ( 13 ≥ 5k)

divide both sides by 5 (13/5  ≥ k )

your answer can be written as k ≥ 13/5 or k ≥ 2.6

3x^3 -5x^2 -x+3 when x=4 help I'm stuck on this

Answers

The value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

The given equation is:

[tex]3x^3-5x^2-x+3[/tex]

To find the value of [tex]3x^3-5x^2-x+3[/tex] when x = 4, substitute x = 4 into the expression [tex]3x^3-5x^2-x+3[/tex]

When x = 4:

[tex]3x^3-5x^2-x+3 = 3(4^3)-5(4^2)-5+3\\\\3x^3-5x^2-x+3 =3(64)-5(16)-2\\\\3x^3-5x^2-x+3 =192-80-2\\\\3x^3-5x^2-x+3 =110[/tex]

Therefore, the value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

Learn more here: https://brainly.com/question/25691329

Tonis cat weighs 2,240 grams. How many kilograms does her cat weigh? Use 100 grams = 1 kilograms to convert the rates.

Answers

Answer: 2.24

Step-by-step explanation:

Firstly, one kilo is 1000 grams, not 100. 2240/1000=2.24

Toni's cat weighs 22.4 kilograms.

To convert grams to kilograms, we divide the weight in grams by the conversion rate of 100 grams per 1 kilogram.

For Toni's cat weighing 2,240 grams, we divide 2,240 by 100 to get the weight in kilograms.

2,240 grams / 100 grams per kilogram = 22.4 kilograms.

Therefore, Toni's cat weighs 22.4 kilograms.

The conversion rate of 100 grams to 1 kilogram allows us to easily convert weights from smaller units (grams) to larger units (kilograms). In this case, dividing the weight in grams by 100 gives us the weight in kilograms, providing a simple way to convert between the two units.

Learn more about conversion here

https://brainly.com/question/34190547

#SPJ2

if 20 articles cost $90,then the cost of 9 articles is

Answers

Answer:

$40.50

Step-by-step explanation:

90 divided by 20 is 4.5. then you multiply that times 9 and that's your answer.  

Please help Please help

Answers

Answer:

with what

Step-by-step explanation:

Which equation represents a line which is parallel to y = 0?

A) y = 3
B) x = -8
C) y = x - 1
D) x = 4y

Answers

Answer:

y=3

Step-by-step explanation:

Horizontal Lines

To my knowledge the answer is c. As x is equal to 1 so therefore 1 - 1 = 0

write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4)

Answers

Answer:

[tex]y = \frac{-2}{3}x + 2[/tex]

Step-by-step explanation:

The first step is convert the given equation in a dependent and independent equation.

[tex]2x + 3y = 12[/tex]

[tex]3y = 12 - 2x[/tex]

[tex]y = 4 - \frac{2}{3}x[/tex]

[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.

Since both lines are parallel the slope of both equations are the same

[tex]y = \frac{-2}{3}x + b[/tex]

Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.

[tex]4 = (\frac{2}{3})3 + b[/tex]

[tex]4 = 2 + b[/tex]

[tex]4 - 2 = b[/tex]

[tex]2 = b[/tex]

So the final equation is equal to

[tex]y = \frac{-2}{3}x + 2[/tex]

consider the expression
[tex] \sqrt{a^{2} + 12 } + |b| [/tex]
when a = -2 and b= 14. what is the value of the expression?

show work​

Answers

Answer:

18

Step-by-step explanation:

[tex]\sqrt{((-2)^2 + 12)} + 14[/tex]

= [tex]\sqrt{(4 + 12)} + 14[/tex]

= [tex]\sqrt{16}+14[/tex]

= 4 + 14

= 18

Hope this helps!

Answer:

[tex] \sf 18[/tex]

Step-by-step explanation:

[tex] \sf = \sqrt{ { - 2}^{2} + 12} + |14| [/tex]

[tex] \sf = \sqrt{(( - 2) \times ( - 2)) + 12} + 14[/tex]

[tex] \sf = \sqrt{4 + 12} + 14[/tex]

[tex] \sf = \sqrt{16} + 14[/tex]

[tex] \sf = \sqrt{ {4}^{2} } + 14[/tex]

[tex] \sf = 4 + 14[/tex]

[tex] \sf = 18[/tex]

What is -3m + 5m = -14? With work provided

Answers

Answer:

-7

Step-by-step explanation:

-3m+5m=-14

2m=-14

divide both sides by 2

m=-7

Answer:-3+5m is -8m

Step-by-step explanation: Because the 3 is negative and it is plus

Using the diagram and information below to find the measure of the missing angles. Don't forget to show your work and label your answer. Suppose mz1 = 105° 1/2 4 / 3 What are m22. m23 and mz4? mz2 = m23 = m24 =
please help (:​

Answers

Answer:

m∠2 = ______75__

m∠3 = ____105____

m∠4 = _____75___

Step-by-step explanation:

i did the math

In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?

Answers

Answer:

n a math class with 26 students, a test was given the same day that an assignment

was due. There were 17 students who passed the test and 18 students who completed

the assignment. There were 15 students who passed the test and also completed the

Answer:

3/26

Step-by-step explanation:

Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.

Plz mark as brainliest

PLEASE HELP QUICK!!

what is the slope of this line?

Answers

I think it might be D

Positive 3. Take a point (1,2), (2,5) and take the formula y2-y1/ x2-x1. 3/1 is slope.

Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.

Answers

The trinomial for the rectangular rug is 3x² + 5x - 2

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

A trinomial is a polynomial with three terms.

The area of a rectangle = length * width

Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2

Area of rectangle = 3x² + 5x - 2

The trinomial for the rectangular rug is 3x² + 5x - 2

Find out more at: https://brainly.com/question/18563587

I suck at math help ill give brainliest ​

Answers

Answer:

3

Step-by-step explanation:

5x + 40 = 55

5x = 55 - 40

5x = 15

x = 15 / 5

x = 3

Please help meeeeeeeeeeeeee

Answers

Answer:

-47

Step-by-step explanation:

First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.

if there was 200 kids= 100% and 43 of them left what is the percent

Answers

Answer:

It would be 86 as 43% of 200 is 86

Step-by-step explanation:

What is the square root of 8 and 24?

Answers

Answer:

√8 = 2.828427125

√24 = 4.89897948557

26.8284271247 sana po mkatulong
yan po sana makatulong po ako

-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?

A)0
B)1
C)2
D) Infinite

Answers

Answer:

C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula

La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés, la casa de Rodrigo está a 2 cuadras a la izquierda de la casa Camilo ¿Cuántas cuadras hay entre las casas de Andrés y Rodrigo?.

Answers

La casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

En esta pregunta, debemos leer el enunciado y obtener las ecuaciones equivalentes antes de obtener su solución. En este caso tenemos las siguientes dos ecuaciones:

(i) La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés.

[tex]c - a = 4[/tex] (1)

(ii) La casa de Rodrigo está a 2 cuadras a la izquierda de la casa de Camilo.

[tex]r - c = -2[/tex] (2)

Si sumamos (1) con (2), entonces obtenemos la siguiente ecuación entre las casas de Andrés y Rodrigo:

[tex]r - a = 2[/tex]

En síntesis, la casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

Invitamos cordialmente a ver esta pregunta sobre aritmética: https://brainly.com/question/6357882

0.1 x 0.01 x 0.001
ans ???

Answers

>> Answer

________

[tex] \: [/tex]

[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]

[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]

[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]

[tex] = \bold{ \frac{1}{1.000.000}} [/tex]

Answer:

[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]

What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.

Answers

Answer: use distributive property

Step-by-step explanation:

you must always start from the numbers in the parentheses

solve the median of 4,5,3,4,3,1

Answers

Answer:

arrange them in order = 1,3,3,4,4,5

then cancel them slowly from both side = 3,3,4,4

until u find a single number or two number.

for two number which is same as this do (3+4)/2 which is 7/2 = 3.5

Step-by-step explanation:

4,5,3,4,3,1 (n = 6)

[tex] \\ \tt median = \frac{n + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]

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