Given a term in an arithmetic sequence and
the common difference find the 100th term.


a14= 102
d = 10


Please help, i’m struggling.

Answers

Answer 1

Answer:

100th term = 962

Step-by-step explanation:

You need  to find the first term of the sequence

The formula to use is

[tex]a_{n} = a_{1} + (n - 1)d[/tex]    In your problem, n = 14.  So,

[tex]102 = a_{1} + (14 - 1)10\\102 = a_{1} + 130\\a_{1} = -28\\\\[/tex]

Now you can find the 100th term.  n = 100, first term = -28 and d = 10

[tex]a_{100} = -28 + (100 - 1)10\\ = -28 + 990\\ = 962[/tex]

100th term = 962


Related Questions

plzzz help so i want fail

Answers

Answer:

B

Step-by-step explanation:

There is 1 oboe for every seven clarinets, so the ratio is 1/7

all the answers in the one are just 1/7 written differently, but when you reduce them all, they all end up being 1/7.

0.1
9. Carmen spent $96 on four concert tickets,
How much was each ticket?
+

Answers

Answer:

$24

Step-by-step explanation:

96 divided by 4

Each ticket cost 24 dollars

Answer:

$24 for each concert ticket.

Step-by-step explanation:

Solve for x in the diagram below.
32°
80°
2x

Answers

Answer:

Assuming you're talking about the angles of a triangle, X would be [tex]34^{.}[/tex]

Step-by-step explanation:

The sum of the angles in a triangle is 180, 180 - 32 - 80 = 68, [tex]\frac{68}{2}[/tex] is 34, so X is equal to [tex]34^{.}[/tex].

i need help fast plz!!!

Answers

Answer:

26, 64

Step-by-step explanation:

we have :

angle 90°

acute angle x

acute angle 2(x+6)

The sum of the angles in a triangle has to be 180° so

90 +x+2(x+6) = 180

90 +x +2x+12 = 180

3x = 180 -90-12

x= 78/3 = 26°

the other acute angle is 2(26+6) = 64°

Answer:

26, 64

Step-by-step explanation:

We can name the first acute angle x and the second acute angle y. We know that x=2(y+6) but we also need another equation to solve the problem. Since we know that the sum of angles in a triangle is equal to 180 degrees and this is a right triangle, the two acute angles sum will be equal to 90 degrees. That would be our second equation, x+y=90. Now we can just substitute the first equation into the second one: 2(y+6)+y=90 -> 2y+12+y=90 ->3y=78 -> y=26

Now we can substitute y into one of the original equations and solve for x: x+26=90 -> x=64

teri is making ribbons to give to her friends. Her budget is limited, and she has some constraints on the number of bracelets she can make compared to the number of ribbons. She has drown a graph to represent the number of items she can make where x represent the number of ribbons and y represents the number of bracelets

Answers

Step-by-step explanation:

not a solution

(4,3) / (3,10)

solution

)4,-3)...........(2,10)

0.1(-1.4r - 4.4) simplify equation

Answers

Answer:

-0.14r -0.44

Step-by-step explanation:

trust me

ASAP!!!!
Find the point of intersection of the two lines
x=4 - y and x=3 ​

Answers

Answer:

the answer would be (3,1) :))

Step-by-step explanation:

Hope this helps :)) Plz mark brainliest :))

What is the value of x?
Enter your answer in the box.

Answers

That my friend is number 6

what is the area of b1=5,b2=7,h=4

Answers

Answer:

The formula for finding the area of a trapezoid is ×h

Start by substituting the values given in the problem into the formula

×4

Now Simply/solve

×4

6×4

24

The area of the trapezoid is 24

I hope this helps!!!

Step-by-step explanation:

should be 24
fist do 5+7 (b1 + b2) divided by 2
then multiply by 4(height)
5+7/2•4=24

Please help I will mark you as brainlist

Answers

I did the math I’m pretty sure it’s d

I NEED HELP ASAP WILL MARK BRAINLIEST


Our family has a budget of $4,000 to spend on our next vacation. We plan to spend 7/9 of this amount on gasoline and hotel rooms. We plan to spend 1/2 of the remaining amount on eating out and buying snacks. (food). How much do we plan to spend on food during our vacation?
Group of answer choices

$444.45

$888.89

$1230.00

$3111.11

Answers

Answer:

I think it is 888.89

Step-by-step explanation:

Hope this helps. :D

rebecca has 6 yards of ribbon it takes 3/8 to wrap one package how many packages can see make

Answers

Answer:

She will have 8 pieces.

Hope you find this helpful!

Answer:

8 packages

Step-by-step explanation:

Please help!!! Thank you!!!!!

Answers

3rd option


Hope this help!!!!

Answer:

Its the third answer choice

Step-by-step explanation:

Hope this helps

Find two integers whose sum is -3 and product is -70

Answers

Answer:

(-10) and 7

Step-by-step explanation:

-3 = (-10) +(7)= -3 (because + and - give you a - )

-70 = (-10) x (7)= -70

hope it answers your question correctly.

Find the Circumference area of the circle. Use 3.14 for pi. Round tithe nearest hundredth if necessary

Answers

Answer:

351.68cm

Step-by-step explanation:

Using the attached diagram

Radius of the circle = 56cm

Circumference of the circle =2πr

r is the radius of the circle

Circumference of the circle =2(3.14)(56)

Circumference of the circle = 6.28 *56

Circumference of the circle  = 351.68cm

Hence the circumference area of the circle is 351.68cm

5/21 Marks
You can buy jars of the same jam in two sizes.
Large Jar
Small Jar
440g for £1.54
340g for £1.26
By considering the price per gram, work out
which jar is the best value for money.


Answers

Answer:

large jar

Step-by-step explanation:

large jar= £1.54 (divide) 440= 0.0035

small jar= £1.26 (divide) 340= 0.0037

as the large jar cost less (0.0035 > 0.0037) the large jar is the best value for money

the product of 2x^3 and 6x^5 is ?
Option Of Answers are
1. 10x^8
2. 12x^8
3.10x^15
4. 12x^15

Answers

Answer:

[tex]12x^{8}[/tex]

Step-by-step explanation:

Calculate the coefficient by multiplying the numbers:

2 x 6 = 12

Calculate the exponents by adding the numbers:

5 + 3 = 8

Therefore, the coefficient is 12 and the exponent is 8. You get,

[tex]2x^{3} .6x^{5}=12x^{8}[/tex]

Solve for the measure

Answers

Answer:

A) 130°

Step-by-step explanation:

Angle UTV = angle YTX = 75°

Angle VTW = 55°

so UTW = 75 + 55

if this helps, please give brainliest if possible

Answer:

A

Step-by-step explanation:

∠ UTV = ∠ YTX = 75° ( vertically opposite angles )

∠ VTW = 55° ( angle at centre is equal to arc that subtends it )

Then

∠ UTW = ∠ UTV + VTW = 75° + 55° = 130° → A

20a + 158 + 6c = 20 ( 6 ) + 15 (4) + 6 (8)

Answers

Answer:

28 plus tht 58

gghhjjjiijcddc viii kiub

Answer:

Step-by-step explanation:

solve 2x+6=34 i have no idea pls exsplain and help me :)

Answers

You want to try to isolate the x:
First subtract 6 from both sides so you get 2x=28

Then divide both side by 2 so you get x=14 which is your answer :)

ANSWER: x=14

Answer:

14

Step-by-step explanation:

okay.. so basically you have 2x+6=34 right? so basically i’m gonna tell you the easiest way to do this

so you’re gonna start off by separating the 2x from the 6=34.

now that you’ve done that, let’s focus on the 6=34. so to get your answer, start by subtracting 6 from 34 so (34 - 6 = 28)

now that you’ve got that, keep the number 28 in mind. youre gonna want to take 2 and multiply by x. but 2x = 28, so what do you multiply by 2 to make 28? 14. so x is 14. to check your work, let’s see.

2 x 14 + 6 = 34?

2 x 14 = 28 + 6 = 34.

34 = 34

so, x is 14. hope this helped!

is the point 15,4 a solution to the system?
y=2x+4

Answers

Answer:

y8

Step-by-step explanation:

PLEASE PLEASE HELP I WILL GIVE BRAINALIST TO THE FIRST PERSON!!!

AB contains points (4, 2) and (−1, −8). What is the equation of the line parallel to AB that contains point (0, 5)?

Answers

Answer:

blahhhhahahhah

Step-by-step explanation:

Answer:

check this out

Baggin'

Song by 42 Dugg and Marshmello

Mello made it right

God sat me down and told me, "Youngin', you the one"

Givenchy, Louis, BAPE, the only thing, I'm from the slums

White gold, Presidential, maybe I should run

Still get 'em by the ton, sixty-five three times a month

Baggin', what you doin'? Baggin', baggin'

2020 Mclaren, Moe got me thinkin' 'bout cashin'

I'm a savage (h,oe), Megan, savage

Heard I fu.cked her friend, she keep callin' me a savage

She gon' suck it 'cause she nasty

Once I fu.ck her I be laughin' (fu.ck off)

We'll never meet again, only thing I eat is tens

Baggin', what you doin'? Baggin', baggin'

Prolly throw a six, never a five, yeah fours

Tell the world get off my d,ick

I get nervous when I get mentioned

Bro do four a week in Cinci, could be five, but he too picky

Keep that fye, b.itch, don't get Ricky'd

Without my guys, feel like sumn missin'

Too many proud fu,cks, too many bit,ches

Moral of the story, I don't fu.ck with you ni,ggas

You tryna get fame, fu,ck 'round, get painted

Proud of myself, I don't do no hatin'

Classify the polynomial by term and degree
4x - 9x2 + 2x3 + 15

Answers

Answer:

Cubic Polynomial

Step-by-step explanation:

The degree is the highest exponent in the equation. (So, 3.)

This makes it cubic.

Anything above three terms is just considered a polynomial.

Hence, Cubic Polynomial.

19 of 22
20
Which is equivalent to (-9n + 12)?
OA. 3n
OB. 304 - 3n)
o c. 216
OD. 4(3 - 5n)


Answers

B: 3(4-3n)

hope this helps

A line segment has endpoints F(2, 2) and G(8, 2) Find the coordinates of its midpoint M

Answers

Answer:

(5,2)

Step-by-step explanation:

The midpoint of a line segment is calculated by finding the average of the x values and the average of the y values of the endpoints.

[tex]midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex] when the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug points F(2,2) and G(8,2) into the equation

[tex]midpoint=(\frac{2+8}{2},\frac{2+2}{2} )\\midpoint=(\frac{10}{2},\frac{4}{2} )\\midpoint=(5,2)[/tex]

Therefore, the midpoint of the line segment with endpoints F and G is (5,2).

I hope this helps!

42.Anna pours herself some room-temperature soda from a bottle and adds four ice cubes. In a few minutes the ice cubes are smaller and the soda is much colder. Which of the following best explains the change in temperature of the soda?



A. Heat flowed from the soda to the ice cube and caused it to partially melt.

B. Coldness flowed from the ice cube to the soda, making the soda cooler.

C. The cold water from the melting ice went into the soda, replacing the warmer water that was in the soda

D. The water from the melting ice makes the soda more dilute, and the lower concentration makes the temperature lower.

and send me link for explenation

Answers

Answer:

Option A

Step-by-step explanation:

According to the second law of thermodynamics, heat always flows from hot to cold places, unless work is done on the system. In this case the ice is colder than room temperature, and therefore the heat flows from the soda to the ice cube. The ice cube absorbs the heat, and partially melts.

Convert a salary of 36000 per year to earnings per week. Please help preferably fast since I'm doing a test

Answers

36000/52
692.31
Hope this helps

2. A submarine dives 60 meters in 5 minutes. Find how quickly it dives in feet per second (recall 1 meter = 3.28084 feet). How many feet can it dive in 6 minutes and 34 seconds?

Answers

Answer:

258.54 feet

Step-by-step explanation:

Step 1

We convert 60 meters to feet

1 meter = 3.28084 feet

60 meters = x

Cross Multiply

x = 60 × 3.28084 feet

x = 196.8504 feet

60 meters = 196.8504 feet

Step 2

How many feet can it dive in 6 minutes and 34 seconds

We convert 34 seconds to minutes

60 seconds = 1 minute

34 seconds = x

Cross Multiply

60 × x = 34 × 1

x = 34/60

x = 0.567 minutes

So, 6 minutes and 34 seconds = 6 + 0.567 minutes = 6.567 minutes.

60 meters in 5 minutes.

60 meters = 196.8504 feet

Hence:

5 minutes = 196.8504 feet

6.567 minutes = x

Cross Multiply

5x = 6.567 × 196.8504 feet

5x = 1292.7165768 feet

x = 1292.7165768/5

x = 258.54331536 feet

Approximately = 258.54 feet

Therefore, the submarine can dive 258.54 feet in 6 minutes 34 seconds


Find the surface area.
13.5 in
9 In
9 in.
10 in.

Answers

the surface area of the body is approximately 739.72 square inches. first find the area of the two triangles (base and top) using Heron's formula

what is surface area ?

Surface area is the total area of all the faces or surfaces of a three-dimensional object. It is the sum of the areas of all the faces of the object, including the top, bottom, and sides. Surface area is usually measured in square units, such as square inches or square meters.

In the given question,

Let's first find the area of the two triangles (base and top) using Heron's formula:

For the base triangle with side lengths 9, 10, and 13.5:

s = (9 + 10 + 13.5)/2 = 16.25

Area = √(s(s-9)(s-10)(s-13.5)) = 35.44 square inches

For the top triangle, the side lengths are the same, so the area is also 35.44 square inches.

Now, let's find the area of the four sides. We can divide the body into two trapezoids and two triangles. The trapezoids have heights of 9 inches and bases of 9 and 10 inches. The triangles have a base of 13.5 inches and a height of the slant height of the trapezoid, which we can find using the Pythagorean theorem:

h = √(13.5² - (10-9)²) = √(146.25) = 12.1 inches

So, the area of each trapezoid is:

(9/2)*(9+10)*√(146.25 - 9.5²) = 252.28 square inches

And the area of each triangle is:

(1/2)13.512.1 = 81.94 square inches

Finally, the total surface area is the sum of all these areas:

35.44 + 35.44 + 252.28 + 252.28 + 81.94 + 81.94 = 739.72 square inches

Therefore, the surface area of the body is approximately 739.72 square inches.

To know more about surface area, visit:

https://brainly.com/question/29298005

#SPJ1

-2(-6x+2u-3)
-3x-6(-6y+6x)-2y
-3(w+6)+5w

PLEAZE SIMPLIFY THEESE FOR ME ASAP please i need this really bad :(
pleze help i will like it so you can get more pints plzzzzzzzz :(

Answers

Answer:

12x-4u+6-3x+36y-36x-2y-3w-18+5w= -27x-4u-12+34y+2w

I can't belive i am answering this instead of doing my homework

Step-by-step explanation:

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