Find the 84th term of the arithmetic sequence 18, 31, 44, ...

Answers

Answer 1

Answer:

common difference = 31-18

common difference =13

from,

An=A1 +(n-1)d

A84=18+(84-1)13

A84=1097

Answer 2

Answer:

1097

Step-by-step explanation:

Common Difference:

d=a_2-a_1=(31)-(18)=13

d=a  

2

​  −a  

1

​  =(31)−(18)=13

a_n=a_1+(n-1)d

a  

n

​  =a  

1

​  +(n−1)d

\text{84th term:}

84th term:

a_{84}=18 + (84-1)(13)

a  

84

​  =18+(84−1)(13)

a_{84}=18 + (83)(13)

a  

84

=18+(83)(13)    a_{84}=1097      a  84

​ =1097


Related Questions

Write the equation of a line in slope-intercept form when the y-intercept is (0, -8) and the slope is -2/3.

Answers

Answer:

[tex]y = -\frac{2}{3}x - 8[/tex]

Step-by-step explanation:

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

Answers

Answer:

..Step-by-step explanation:

Find the slope of a line parallel to each given line. y=-5/3x+5

Answers

Answer:

m= -5/3

Step-by-step explanation:

M= slope

To find slope, you do y= mx + b

Answer:

[tex]\boxed {\boxed {\sf m= -\frac{5}{3}}}[/tex]

Step-by-step explanation:

First, identify the slope of the line given.

[tex]y= -\frac{5}{3}x+5[/tex]

This line is in slope-intercept form or y=mx+b where m is the slope and b is the y-intercept. The number being multiplied by x is the slope. The number being added or subtracted is the y-intercept.

-5/3 is the coefficient to x (-5/3 and x are being multiplied). So, the slope must be -5/3.

Next, remember that parallel lines have equal slopes. If the line is parallel to y= -5/3x+5, the slope must also be -5/3.

Can somebody help??....

Answers

The missing numbers are 27 and 6.. the rule of the sequence is minus 6

what is the range of possible sizes for x?

Answers

Answer:

0.5 < x < 15.5

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 15.5

Mary got a sales job at her father's company. She was paid $9 per hour plus a 5%commission on her sales. Last week sheworked 40 hours with sales of $5560. How much was she paid?

Answers

Answer:

Mary was paid $638

Step-by-step explanation:

Mary was paid 360 $ for working alone because

$40 * 9 = $360

Mary was paid $278

5 % * $5560 = $278

360 + 278 = 638 $

1. At a specific time of day, a flagpole has a shadow 40 ft long, at the same time of day
Jose who is 6 ft tall has a shadow of 8ft long. Find the height of the flagpole to the
nearest tenth of a foot if needed.

Answers

Answer: x= 30 ft tall

Explanation: you know the lengths of both shadows so therefore you put 40 over 8 (like a fraction) and then you need to find out height of the flagpole, but you do know the height of Jose so therefore you put x over 6 right next to 40 over 8. Then you cross multiply 40 x 6= 240 and then you change the x into 8. So NOW you then divide your answer from 40 x 6 (240) by 8 and then you get your answer which is X = 30 ft tall

Solve for x. (round to the nearest WHOLE NUMBER)
x
12.
14

Answers

x = 8
using the pythagorus theorem which states a^2+ b^2 = c^2
10^2 - 6^2 = 64
root of 64 = 8
hope this helps :)

A ​17-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground feet from the base of the building. How high up the wall does the ladder​ reach?

Answers

Answer:

15 feet..

taking base as 8m

Given: ladder = 17 m and base = 8 m

The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.

Let’s say you did not know that this was a standard 8–15–17 right triangle.

This is how you can figure it out:

hypotenuse(h)22 = side2112 + side2222

Let side11 = base and side22 = wall

1722 = 822 + wall22

wall = 172−82−−−−−−−√172−82

wall = 289−64−−−−−−−√289−64

wall = 225−−−√225

wall = 15 feet

Height of wall is 15 feet

Given:

Length of ladder = 17 feet

Base distance from ladder = 8 feet (Missing information)

Find:

Height of wall

Computation:

Length of ladder = hypotenuse

Base distance from ladder = Base

Height of wall = Perpendicular

Using Pythagorean theorem

[tex]Perpendicular = \sqrt{Hypotenuse^2 - Base^2}[/tex]

By putting values

[tex]Perpendicular = \sqrt{17^2 - 8^2}[/tex]

[tex]Perpendicular = \sqrt{289 - 64} \\\\Perpendicular = \sqrt{225} \\\\Perpendicular = 15[/tex]

Height of wall = 15 feet

Learn more:

https://brainly.com/question/18163189?referrer=searchResults

Can someone pleaseee help me solve this

Answers

The answer is 23 your welcome

Can you help me please ​

Answers

Answer:

Step-by-step explanation:

y=kx

where k is a constant.

6=-4k

k=-6/4=-3/2

y=-3/2 x

Can you Please Help ASAP!

Answers

THE ANSWER IS 70 !!

When you add up all the sides to get 290 and the total amount of the angles is 360 so you subtract 290-360 and you get 70

Pls help me!
It’s Aleks homework 5.3

Answers

You have to cross multiply.

Step 1. Y x 13= Y13
Step 2. 7 x 4= 28
Step 3. set it equal to each other: 28=Y13
Step 4. 28/13= 2.2

Y= 2.2 is your answer

the reciprocal of 9/10

Answers

Answer:

10/9

Step-by-step explanation:

The reciprocal is just flipping the fraction

pls help has to be in a fraction​ ill give brainliest.

Answers

Answer:

-5/4

Step-by-step explanation:

slope = -4 - (-29) / -10 - 10

slope = 25 / -20

slope = -5/4

which is greater 225% or 3​

Answers

Answer:

3 is greater

Step-by-step explanation:

225% as a decimal is 2.25 and you can see that 3 is greater than 2.25

Answer:

3

Step-by-step explanation:

225% = 2.25 = [tex]2\frac{1}{4}[/tex].

So, 3 is greater than 225%.

Which of the following points are more than 5 vertical units away from the point (0,-2) ? Choose all that
apply.
(6,-2)
(-8,-2)
(0-8)
(0,4)

Name the shape that will result from connecting the following points: (-4,1), 44,-4), (0,3), and
(0,-6).
O square
O rectangle
O trapezoid
O quadrilateral

Answers

the 1st question it’s (0,4) and (0,-8). The second is a quadrilateral

-2y+3=22 y-5=3 elimination method

Answers

Answer:

Not possible

Step-by-step explanation:

You cannot do an elimination method because there is no x

A ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.


If north is taken as the positive direction, what is the velocity of the ship?



7 miles per hour , 7 miles per hour , ,


–3 miles per hour , –3 miles per hour , ,


3 miles per hour , 3 miles per hour , ,


–7 miles per hour

please help!!!

Answers

Answer:

3 miles per hour

Step-by-step explanation:

five more than three times a number is 17

Answers

The number (x) in: "5 more than three times a number is 17" is what we are solving here.

In other words, you are looking for a number (x) that if you multiply it by three (same as three times) and then add 5, you get 17.

To solve this, you first write the problem as an algebra equation as follows: 3x + 5 = 17

Then you solve the equation by subtracting 5 from both sides, and then divide both sides by 3. Here is the math to illustrate better:

3x + 5 = 17

3x + 5 - 5 = 17 - 5

3x = 12

3x/3 = 12/3

x = 4

Answer = 4

Derek tried to dilate the isosceles trapezoid ABDC with the center of dilation at the origin with a scale factor of 2. Check his work and complete the statements. The slope of AC is . The slope of EG is . The polygons are not dilations of each other because .

Answers

Answer: the slope of AC is 4

the slope of EG is 2

the polygons are not dilations of eachother because the corresponding sides are not parallel

Answer:

D, D, C

Step-by-step explanation:

Solve for x.
-42 - 3 = -11
pls and thank you:)

Answers

Answer:

there is no any x

Step-by-step explanation:

but if you want to say -42x-3= -11

-42x-3+3= -11+3

-42x=8

-42x/-42=8/-42

x= -8/42

= -4/21

or if you want to say -42-3x= -11

-42+42-3x= -11+42

-3x= 31

-3x/-3=31/-3

x = -31/3

hope it's helpful ❤❤❤

THANK YOU❤

Answer:

The answer is -45 = -11

Step-by-step explanation:

Subtract  3  from  − 42 .

Hoped this helped!

Brainly, Please?

Simplify the expression
4 + 3(x + 2)

Answers

Answer: 3x+10

You welcome!

can someone help me on this ???

Answers

Answer:

x=4x-16 is what you get after you distribute

Step-by-step explanation:

2 by 2 is 4

2 by 8 is 16

the last one x=4x-16

akayla buys some tools at the local hardware store. Her total is $50 but she has a 15% off coupon. How much did she save with her coupon? Enter your answer to the nearest cent.

Answers

Answer:

$7.50

Step-by-step explanation:

$50 x .15 = $7.50

$7.50 estimated to nearest cent is $7.50

what is
[tex]2 \frac{1}{2} \div \frac{1}{3} [/tex]
need help ?

Answers

Answer:

16/5

Step-by-step explanation:

Answer:

The answer is 15/2 and the simplified answer is 7 1/2.

Step-by-step explanation:

To turn 2 1/2 into a normal fraction you need to multiply 2 and 2 ao it will be 2x2 and then you add the 1 which gets you 5.You keep the denominator and the fraction is now 5/2.Dividing fractions is the same as multiplying fractions so all you have to do is flip 1/3 and now it us 3/1 then you turn the division symbol into a multiplication symbol and multiply both numbers.5x3 = 15 and 2x1 = 2 so now you have 15/2 and if you wanted to simplyfy it you need to see how many times 2 can go into 15.2 can go into 15 7 times because 2 x 7 = 15 and if we multiply 2 x 8 it will be 16 which would be too much.We have 1 number left over since we were 1 number behind so we put 1 as our numerator and keep 2 as out denominator so now we have 7 1/2.

2. A diagonal shortcut across an empty
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the lot?
A 65 feet
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B 84.5 feet
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Answers

Answer:

D

Step-by-step explanation:

i added it

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Answer:

Uhejfiwiesijdhdusidhd

Answer:

Step-by-step explanation:

its 18

There are 5 cats for every 4 dogs at the animal shelter. What is the ratio of dogs to cats?

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Answer:

4:5

Step-by-step explanation:

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puedo cambiarme de entidad en el règimen subsidiado

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evaluate the trigonometric funtion of the angle theta​

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