An arithmetic sequence has a first term of 0 and the 9th term of 12. If 27 is an output of the sequence, which term number is it? Show all steps of calculations and explain in a sentence at the end how you know you have the correct term number.

Giving 100 points to first correct answer

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]a_{n}=a_{1}+(n-1) d\\n=9\\12=0+(9-1)d\\8d=12\\d=\frac{12}{8}=\frac{3}{2}\\again\\27=0+(n-1)*\frac{3}{2}\\n-1=27*\frac{2}{3}=18\\n=18+1=19[/tex]


Related Questions

evan has 4 chocolate bars with a total of 48 pices are in each bar

Answers

Answer:

what is your question? it seems the answer would be 12 just by looking at this, but still what is the question exactly?

Step-by-step explanation:

Answer: if you are dividing the answer will be 12

(i wrote two since it dosent say what we need to do

if you are multiplying you answer will be 192

hope it helped!

Step-by-step explanation:

In ΔSTU, the measure of ∠U=90°, UT = 12, SU = 35, and TS = 37. What ratio represents the secant of ∠T?

Answers

Answer: hi

Step-by-step explanation:

look at hers

Answer:

secT=

adjacent

hypotenuse

=

12

37

Step-by-step explanation:

Please help another one
Please no joke :)
Have a good day gelp me please

Answers

Answer:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

Step-by-step explanation:

We proceed to explain the context on each case and answer appropriately:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

Please help I will give 20 points if right

Answers

Answer:

for my own advice you should add those numbers then that Square unit if she's there it's 90° so you should find the area of the polygon which that thing when you come this sides you get the number of the polygon with your plus then by those numbers then he write his equals to 90 degree then you'll get your answer thank you

Is 9.90 equal to greater than or less than 9.9

Answers

Answer:

Equal to.

Step-by-step explanation:

The 0 at the end of 9.90 does not add any value to the number because its 0.

Answer:

It is equal.

Step-by-step explanation:

9.90 = 9.9 , it's the same as the 0 does not count on it.

Roxie plans on purchasing a new desktop computer for $1250. Which loan description would result in the smallest amount of interest she would have to pay?

12 months at 6.25% annual simple interest rate

18 months at 6.75% annual simple interest rate

24 months at 6.5% annual simple interest rate


30 months at 6.00% annual simple interest rate

Answers

Answer:

12 months at 6.25%

Step-by-step explanation:

You deposit $1250 into a bank account paying 6.25% simple interest per month. You left the money in for 12 months. Find the interest earned and the amount at the end of those 12 months?

Result:

The interest is $937.5 and the amount is $2187.5.

Explanation:

STEP 1: Convert interest rate of 6.25% per month into rate per year.

STEP 2: Convert 12 months into years.

STEP 3: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this examplee P = $1250, i = 75% and t = 1 years, so

STEP 4: Find an amount by using the formula .

Since P = $1250 and I = $937.5 we have

PLS HELP IM STRUGGLING!!!!!!

Answers

Answer:

i think ist D correct me if im wrong

Step-by-step explanation:

Answer:

22.7

Step-by-step explanation:

if ∡M is 90° then you can do:

sin 65 = h/25

h = 25(sin 65°)

h = 22.65

Michelle wants to buy a new phone. There are several stores that sell the phone she wants, and each store offers
a different discount. The information on each store's discount offer for the phone Michelle wants to buy is
summarized in the table.
Price
Discount
Store
Big Town Electronics
$120
10% off
Central Phones
$120
$10 off
Main Street Mobile
$160
30% off
Phone Forum
$125
$16 off
Wireless Inc.
$110
No discount
At which store would Michelle's total cost be the least after the discount?
А
Big Town Electronics
B
Wireless Inc.
с
Main Street Mobile
D
Phone Forum

Answers

Step-by-step explanation:

hey, hope it helps.. :))

A machine press has 51 yards of steel for making 4-inch nails. How many nails can be pressed from the steel?

Answers

459 nails is your answer

51 yards of steel x 3 feet/yard = 153 feet of steel
153 feet x 12 inches/foot = 1836 inches of steel.

1836/4 inches per nail = 459 nails

What happens to light when it strikes a smooth shiny surface?

Answers

Step-by-step explanation:

Light reflects from a smooth surface at the same angle as it hits the surface. For a smooth surface, reflected light rays travel in the same direction. This is called specular reflection. For a rough surface, reflected light rays scatter in all directions.

Answer:

When light strikes an object, its rays can be either absorbed or reflected. A solid black object absorbs almost all light, while a shiny smooth surface, such as a mirror, reflects almost all light back. When reflected off a flat mirror, light bounces off at an angle equal to the angle it struck the object.

Step-by-step explanation:

Danny has a scale drawing of his house. If
3 inches (in) on the scale drawing equals
7 feet on the real house, what is the actual
height of the house?
5.4 in

Answers

Answer:

151.2

Step-by-step explanation:

7x12=84

84/3=28

28x5.4=151.2

Please Solve this question. whoever answers my question gets 10 points with heart and brainlist (if there's two answers) Thank you. And please don't guess :D

Answers

Answer:

c,h is a 90 degree angle and so is a,k,c

a,k,c is half of the 12cm

so the answer is c,h is 6cm

Step-by-step explanation:

Answer:

CH = 6

BAH = 96

Step-by-step explanation:

BC = 12, so BK = 6, and ABK = ACH, so BK = CH = 6

BAK = 32, KAC = 32, CAH = 32

BAK + KAC + CAH = BAH = 96

Which function is graphed?

Answers

Answer: it’s B or C

Step-by-step explanation

Please help me. I don’t know

Answers

Step-by-step explanation:

Area of square = Length x Length =

[tex] {length}^{2} [/tex]

Given Area of square =

[tex]256 {ft}^{2} [/tex]

[tex] {length}^{2} = 256 \\ length = \sqrt{256} \\ = 16ft[/tex]

6,6 and 7 units down and 5 units left where is t'

Answers

Answer:

it's 1,-1

Step-by-step explanation:

hoped I helped. I'm good at these.

Help me please....... :(

Answers

Answer:

The Degree of the polynomial is 3

Evaluate 3f(2) what is it

Answers

Answer:

the eanswer should be 12

Step-by-step explanation:

i took the test

What is the measure of the angle at the tail end of the kite? if the top area is where its pointed is 122?

Answers

Answer:

The angle is 58 degrees

Step-by-step explanation:

Given

See attachment for kite

Required

The angle at the tail end

Represent this angle with x.

From the attached kite, we have:

1 angle = 122

2 angles = right-angled

So, we have:

[tex]x + 122 +90+90 = 360[/tex] --- sum of angles in a kite

[tex]x + 302 = 360[/tex]

Solve for x

[tex]x =- 302 + 360[/tex]

[tex]x =58^\circ[/tex]

what are remainder theorem

Answers

Answer:

Step-by-step explanation:

When doing synthetic division, if the remainder is zero, we know that the divisor is a root of the polynomial.  If the remainder is not zero, the remainder is the function vaue for that divisor.

Four times a first number decreased by a second number is 19. The first number increased by four times the second number is −8. Find the numbers.

Answers

Answer:

a = 4

b = -3

Step-by-step explanation:

Let a and b be the two numbers.

According to question,

4a - b = 19........(i)

And,

a + 4b = -8........(ii)

From (i),

4a - b = 19

or, b = 4a - 19

Replacing b in (ii),

a + 4(4a - 19) = -8

a + 16a - 76 = -8

17a = -8 + 76

17a = 68

a = 68/17

a = 4

And,

b = 4a - 19

= 4 x 4 - 19

= 16 - 19

= -3

Find the GCF of the monomials: 18x² and 21x²y
A)3x
B)3x²
C)3xy
D)3x²y
PLEASE HELP MEEE

Answers

It’s b because they both have x squared and are both divisible by 3

please solve for x!!!

Answers

Answer:

2x+156=4x+192

192-156=-4x+2x

36=-2x

x=-18

Step-by-step explanation:

HELP MEEEEEE i dont get it my teaher didnt teach me dis??

Answers

Answer:

6

Step-by-step explanation:

because  i had the same question and the departments where 6

Answer:

Hey! I can teach you this.

The range is the distance between the highest and lowest numbers.

In this case, the lowest number is 3, and the highest is 54, making the range 54 - 3, which is 51.

Because 3 is 51 away from 54. I hope this helps you!

A map has a scale of 1 inch : 40 miles. Use the given map distance to find the actual distance.

1.) 12 inches
2.) 1 foot

Answers

If it is 1/40 as the ratio then multiple the top by 12 and bottom by 12 to get 480 miles

Answer:

480 miles

Step-by-step explanation:

If one inch equals 40 miles, then 12 times that would be 4800 miles.

1 Inch          12 Inches

---------- =  ------------------

40 Miles     480 Miles.

Carrie sewed a square blanket with an area of 225 in^2
What is the length of each side of the blanket?
A. 56.25 in
B. 15 in
C. 112.5 in
D. 10 in

Answers

Answer:

The answer is A 56.25

Step-by-step explanation:

Since a square has 4 sides, divide 225 by 4 to get 56.25. To check your answer multiply 56.25 x 4 to get 225 in^2.

Hope this helps! Pls mark Brainliest!

Answer:

a.56.25

Step-by-step explanation:

What is the area of this triangle in the coordinate plane? 5 units 6 units 7 units 12 units? ​

Answers

Answer:

6 units

Step-by-step explanation:

Using readings taken from the coordinate upon which the triangle is drawn :

The area of triangle is given as :

Area of triangle = 0.5 * base * height

The base of the triangle = 4 units

The height of the triangle = 3 units

The Area of the triangle is thus :

0.5 * 4 * 3

0.5 * 12

= 6 units

Answer:

The area of the given triangle is 6 units²

The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?

Answers

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

A store owner buys a case of 144 pens for $28.80. He sells the pens for $0.40 each. The owner claims that they marked the pens up by 50% before selling them. Prove that the owner calculated their markup correctly. If they did not, how much of a markup actually occurred?

Answers

Answer: $0.3

Step-by-step explanation:

Given

The owner buys 144 pens for $28.80 i.e. each pen costs

[tex]\dfrac{28.80}{144}=\$0.2[/tex]

owner sells the pen at $0.4 i.e. price marked up by

[tex]\Rightarrow \dfrac{0.4-0.2}{0.2}\times 100=100\%[/tex]

So, the claim of the owner is incorrect

The actual increase in the price to get 50% markup

[tex]\Rightarrow 0.2\times (1+0.5)=\$0.3[/tex]

3. Audrey measures the distance around the lid of her aquarium. The picture shows the shape of the lid. If the perimeter of the lid is 56 inches, what is the missing side length? * Brainliest and 20 points

Answers

Answer:

18 in

Step-by-step explanation:

What’s the answer???

Answers

9 stickers on as heyy

Answer:

10 stickers on one sheet

Step-by-step explanation:

96 - 16 ÷ 8 =

80 ÷ 8 = 10

have a nice day! :)

Other Questions
Roots do all of the following, except ______.A. absorb waterB. anchor plants in the groundC. photosynthesis PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Help me ASAP PLZZZZZZ!!!!!! ill give brainliestPlease write a brief statement explaining why each sentence is correct or incorrect1. George has chosen Walt Disney as the subject of his report. Correct - george is singular so his is the right pronoun2. Several others in our class have also submitted his or her topics. 3. Dominic, one of the Perrone twins, has chosen Alfred Hitchcock as their subject. 4. Neither George nor Dominic will have difficulty finding material for their report. 5. Each of these moviemakers has left their mark on the world. 6. Either Minnie or Sue offered their help with proofreading. 7. Each of the boys refused politely, saying that they would proofread the report on their own. Gabe can travel 40 miles on his motorbike in the same time it takes Dena to travel 15 miles on her bicycle. If Dena rides her bicycle 20 mph slower than Gabe rides his motorbike, findDena's rate. Which of the following was not stated in the Preamble to the Constitution?1. Promote the general welfare.2. Provide the common defense.3. Collect taxes and revenues.4. Form a more perfect union. Qu hacen ellos / ellas? Find the midpoint of the segment with the following endpoints.(9,6) and (5,2) Gina and Rhonda work for different real estate agencies. Gina earns a monthly salary of $5,000 plus a 6% commission on her sales. Rhonda earns a monthly salary of $6,500 plus a 4% commission on her sales. How much must each sell to earn the same amount in a month? NO LINKSOntology is a branch of philosophy concerned with:Group of answer choicesdivine attributesexistenceknowledgeethics Hello, can somone give me more ideas on ''safety procedures for equipment'to use' its for a slide project.(no links please) Simplify. 6 to the power of 2+3 to the power of 2.Thanks! how do you determine a function if a relation is a function how is liming a lake similar to a doctor prescribing medicine for a patient? Which is a function common to both the muscular and skeletal systems? The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism. The sum of the first nine terms in a sequence is 49,205. Each term is 3 times the previous term. What is the third term? Rita is a salon owner. She notices that her salon charged one of her clients, Linda, extra for a service that the clent did not request. What do you think Rita should do? . Remaln qulet about the extra money. B. Distribute the money equally among the staff. C. Call the client and Inform her that she was incorrectly charged. D. Try overcharging the next client too and check if it goes unnoticed. A container in the shape of a cylinder has a volume of 60 cubic meters. Its base has an area of 15 square units. What is the height of the container?options 3m2m4m5m Shana is doing a craft projectusing yarn and sticks. Shehas 3 green yam pieces and7 blue yam pieces. She has 3times as many sticks as yarnpieces. Write an expression. Plz help Chris used a non plane mirror to check out an box resting on a shelf. He wanted to findthe focal length of the mirror. The image of the box was located 15 cm behind the mirrorand the box was placed 19 cm from the mirror.