Given the arithmetic sequence below, write the general formula in simplified terms and
find the 110th term.
-3,2, 7, 12...

Answers

Answer 1

Answer:

542

Step-by-step explanation:

-3, 2, 7, 12

-3 + x = 2 x = 5

2 + x = 7 x = 5

7 + x = 12 x = 5

If you want to find the 3rd term in the sequence and you start with the first number, then you do this:

-3 + (2 * 5) = -3 + (10) = 7

The same goes for the 110th term:

-3 + (109 * 5) = -3 + (545) = 542

The formula to find the nth term is:

f(n) = n(0) + (n-1) * 5

Suppose n(0) = -3 then

f(110) = -3 + {(110-1) * 5}

f(110) = -3 + {(109) * 5}

f(110) = -3 + (545) = 542

You can simplyfy f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (n-1) * 5

f(n) = n(0) + (5n-5)

f(n) = n(0) + 5n - 5

f(110) = -3 + (5 * 110) - 5

f(110) = -3 -5 + (550)

f(110) = - 8 + 550

f(110) = 542


Related Questions

Write the slope-intercept form of the equation of the line described.
5. through (-2,-3), perp. to y=2x+2

Answers

Answer:

its not showing up on mine

Pls help me!!!!!!!!!!!!!!!

Answers

Answer:

The answer is B. and C.

Answer:

i think it will be c

Step-by-step explanation:

Put these numbers smallest to largest 2.6,6.2,2.06,0.26.0.62

Answers

Answer:

0.26, 0.62, 2.06, 2.6, 6.2

0.26 , 0.62 , 2.06 , 2.6 , 6.2

Please give me the answer.

Answers

Answer:

1: 3, 1/3

2: 9, 1/9

3: 27, 1/27

4: 81, 1/81

A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.

Answers

Answer:

28 shirts

Step-by-step explanation:

Let's see what we are given.

there are x amount of shirts ($616 total)

there are 12 in a dozen

the regular shirts are $16

the last 12 shirts are $14

Lets make an equation.

616= 14(12) + 16x

616=168+16x

448=16x

x=28

(Sorry if this explanation is bad)

hich correctly describes how the graph of the inequality 4x − 2y > 20 is shaded?

Answers

Answer:

First we need to express y in this inequality:

-2y > -4x + 20

-y > -2x + 10

y < 2x - 10

The line isn't solid because the "less" sign doesn't include equal in it.

Because the sign is "less than" the shaded part is Below the line.

Merging these 2 conclusion we get the answer:

below the dashed line.

Step-by-step explanation:

430 divided by 2 ____ remainder____

Answers

Answer:

215.

Step-by-step explanation:

I dotn think there is any remainder so put 0

Answer:

215 NO REMAINDER

Step-by-step explanation:

6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
if there were 50 children, how many adults would be at the game? *

Answers

Answer:

The total number of adults will be: 120 adults

Step-by-step explanation:

Given that there were 24 adults and 10 children in a game.

Thus, adults to children ration = 24:10 or 24/10

If there were 50 children, how many adults would be at the game?

Let 'x' be the number of adults when there 50 children.

so the ration of adults 'x' to 50 childern = x: 50 or x / 50

As the ratio is the same.

Thus,

24 : 10 = x : 50

24/10 = x/50

switching sides

x/50  = 24/10

x  = 24/10 × 50

x = 120 adults

Therefore, the total number of adults will be: 120 adults

gcf of 15 and 40 Lmc of 15 and 40

Answers

Answer:

gcf: 5

lcm: 120

Step-by-step explanation:

Plz need help rn What is m

Answers

Answer:

measure of angle p=

94

Step-by-step explanation:

ok 5 sided polygon= 540

so put all of those equal to 540

need to find x first

540=132+(4x-10)+(5x-11)+128+(4x+2)

simplify and combine like terms

x=23

now plug in for angle p

(4(23)+2)

94

Tom has $60 dollars. He spends $7 for lunch each day. Which equation
shows how much money c he has left after d days?
D. None of these
A. c = 60 + 7d
B. = 60 - 7d
C. = 60 - 75

Answers

B seems like the corrects answer because wen dont know how many days and he has 60 dollars

Answer:

B

Step-by-step explanation:

7d is how much money he spends on lunch in all

then you need to subtract from 60 because that is the total amount of money he has

How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?

A.
3y - X = -6
4y - x = 44

B.
3y + x = -6
4y + x = 44

C.
3y - 3x = -6
4y - 4x = 44

D.
3y + 3x = -6
4y + 4x = 44

Answers

Answer: c

Step-by-step explanation:

bc i said

Plz help I need to finish this now

Answers

Answer: it’s the second one

Step-by-step explanation:

Solve: x^2-x-6=0
Show your wrok

Answers

Answer:x=-2

or

x=3The factors of which -6 which sum to -1 are -3 and +2(x-3) (x+2)=2Equate each factor to zero and solve for xx +2=0x=-2x-3=0x=3.

Find the slope of the line passing through the points (-7, 8) and (5.-7).

Answers

Answer:

slope is 15/-12

Step-by-step explanation:

:)

pleeaseeeeeeeeeee hellpppppp
solve 6x + 2 = 2(x + 4) - 2.

A. x= -1

B. there are infinitely many solutions

C. x= 1

D. x = -7/13

Answers

C

6x+2=2x+8-2
6x+2=2x+6
4x+2=6
4x=4
x=1

hope this helps! :)

which is another way to write 42 + 63?

Answers

Answer:

B

Step-by-step explanation:

The sum of 42 + 63 is equal to 105.

B is the only answer that matches the sum of 42 and 63.

7 * 15 = 105

:3))

One serving of tortilla soup is 1 2/3 cups. A restaurant cook makes 50 cups
of soup. Is there enough to serve 35 people? Explain

Answers

no there is not. 50 divided by 1 2/3 gives you 30 which means it can’t create 35 servings.

1.
A and B are two overlapping subsets of a universal set U. Draw Venn-diagrams
and shade the regions that contain the element of the following set operations.
a) A UB
b) AB
c) A-B
d) B-A
e) A
f) B​

Answers

Answer:

Probably c

Step-by-step explanation:

Tbh

Plsss help me with this question I’ll mark you

Answers

Answer:

ITS B the second one, 3/2 x 8=12

Step-by-step explanation:

9x + 6 – 4x – 1x + 1 – 10

Answers

Answer:

4x-3

Step-by-step explanation:

9x+6-4x-1x+1-10

9x-4x-1x+7-10

5x-1x+7-10

4x-3

4x-3 is your answer hope it helps

“A Wok in the Park” charges a $100 set-up fee plus $12.50 per person. “Chop Chop Catering” charges $15 dollars per person.

Write a equation in the form y=mx+b for both companies

Answers

Answer:

y = $100 + $1.50x

y = $15x

Step-by-step explanation:

Given that :

A Wok in the Park charges :

Setup fee =$100 ; per person = $12.50

Chop Chop Catering charges :

$15 per person

Writing equation for the amount charged by the 2 services in the form :

y = mx + c ;

A Wok in the Park ;

Setup fee =$100 = c = intercept ; per person = $12.50 = slope = m

y = $100 + $1.50x

Where x = number of persons. ; y = amount charged

Chop Chop Catering charges :

$15 per person

y = 0 + $15x

y = $15x

x = number of persons. ; y = amount charged ; intercept (c) = $0

There are 7 flavors of ice cream available at an ice cream shop. This shop also has 2 different kinds of cones (waffle and plain). How many different combinations of 1 cone and 1 flavor of ice cream can you have?

Answers

Answer:

14 combinations.

Step-by-step explanation:

If there are 7 different flavors and two types of cones, just mutiply each value. 7*2=14. Boom.

What is the value of the function f(x) = 7x when x = 0.75? *​

Answers

Answer:it is -1

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

As per the question, we have

f(x)=7x

at x=0.75

f(0.75)=&(0.75)

f(0.75) = 7 x 75/100 (this is a fraction)

f(0.75)= 525/100 (this is a fraction)

f(0.75)=5.25

Hence, the value of f(x)=7x at x=0.75 is 5.25

PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW

Answers

Answer:

a

Step-by-step explanation:

Answer:

I think its the number of months

Step-by-step explanation:

It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.

Hope this helps:)

Which of the following is true? (1 point) Group of answer choices |−6| < 5 |−6| < |5| |−5| < |−6| |−5| < −6

Answers

Answer:

|−5| < |−6|

Step-by-step explanation:

The symbols around the numbers signify that you must switch the negative to a positive or vice versa. So, in this case, this equation is actually 5 < 6.

ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY? triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C XY = 18 XY = 32 XY = 6 XY = 8

Answers

Answer:

[tex]XY = 18[/tex]

Step-by-step explanation:

Given

[tex]ABC:AXY = 4 : 3[/tex]

[tex]BC = 24[/tex]

Required

Find XY

Represent BC and XY as a ratio;

[tex]BC : XY = 24 : xy[/tex]

Recall that:

[tex]ABC:AXY = 4 : 3[/tex]

Equate both ratios;

[tex]24 : xy = 4 : 3[/tex]

Convert to fractions

[tex]\frac{24}{xy} = \frac{4}{3}[/tex]

Cross Multiply

[tex]xy * 4 = 24 * 3[/tex]

[tex]xy * 4 = 72[/tex]

Divide through by 3

[tex]xy * 4/4 = 72/4[/tex]

[tex]xy = 18[/tex]

Hence:

[tex]XY = 18[/tex]

Answer:

XY = 18

Step-by-step explanation:

Can someone plz help me it is timed ill give Brainliest if it is correct

Answers

Answer:

b

Step-by-step explanation:

I had this exactl question a while ago

Round 67,891 to the nearest hundred

Answers

Answer:

67,900

Step-by-step explanation:

The answer is 67,900

Is "The weight of a stack of standard 8.5x11 copier paper vs. number of sheets of paper." a proportional relationship?

Answers

Answer:Yes it is proportional because w=kp k=paper weight which is constant. The relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional.

Step-by-step explanation:

Answer: Yes it is a direct proportional relationship

================================================

Explanation:

The equation is in the form y = kx, where

x = number of sheets of paper

k = weight of 1 sheet of paper

y = weight of all the x sheets of paper

x is some nonnegative whole number. The values of y and k are some nonnegative real numbers (aka any decimal values).

Note how if we had x = 0 pieces of paper, then y = 0 is the weight. So no paper leads to no weight. This visually is shown by the line y = kx going through the origin. All direct proportion equations go through the origin.

Each time we add a sheet of paper, we add on k ounces or k grams, or whatever units you're working with. The amount is constant assuming you are dealing with the same type of paper. Comparing y = kx with y = mx+b, we see that k plays the role of the slope or rate of change.

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