Which formula represents the nth term of arithmetic sequence 2, 5, 8, 11, ...?
Formula: An = A1 + (n - 1)d

Which Formula Represents The Nth Term Of Arithmetic Sequence 2, 5, 8, 11, ...?Formula: An = A1 + (n -

Answers

Answer 1

Answer:

B

Step-by-step explanation:

[tex]a1 = 2 \\ a2 = 5 \\ d = a2 - a1 = 5 - 2 = 3[/tex]

[tex]an = 2 + (n - 1)3 \\ an = 2 + 3n - 3 \\ an = 3n - 1[/tex]


Related Questions

2 Antonio is a set designer. He is gluing ribbon on 4 square and 2 triangular posters to be used as stage props in an upcoming play. Use the system of equations to finds, the amount of ribbon needed for a square poster, and t, the amount of ribbon needed for a triangular poster. Show your work.

s=t+ 5 45 + 2t = 110​

Answers

The amount of ribbon needed for a square poster will be 20.

And, The amount of ribbon needed for a triangular poster will be 15.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation are;

⇒ s = t + 5

⇒ 45 + 2t = 110​

Now,

Since, The system of equation are;

⇒ s = t + 5         ..(i)

⇒ 4s + 2t = 110​  ..(ii)

Solve equation (ii) for t as;

⇒ 45 + 2t = 110​

⇒ 4s + 2t - 4s = 110​ - 4s

⇒ 2t = 110 - 4s

⇒ t = 55 - 2s

Substitute above value in equation (i), we get;

⇒ s = t + 5  

⇒ s = 55 - 2s + 5  

⇒ s + 2s = 60

⇒ 3s = 60

⇒ s = 20

And,   ⇒ t = 55 - 2s

⇒ t = 55 - 2 x 20

⇒ t = 55 - 40

⇒ t = 15

Thus, The amount of ribbon needed for a square poster will be 20.

And, The amount of ribbon needed for a triangular poster will be 15.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Help me with this circle question

Answers

Answer:

50.265482457436 inches

Step-by-step explanation:

radius = 8 inches

C = 2×pi×r

= 2×pi×8

C = 50.265482457436 inches

15 points PLEASE HELP!!!

Factor the following equation:
[tex]x^2+3x+4[/tex]

Answers

Step-by-step explanation:

x²+3x+4=0

x²+3x_ +2=0

x²+3x_2=-2

x²+3x_2+(3x_4)²=-2+(3/4)²

(x+3/4) =-2+9_16

x+3_4 = -32+9__16 =√-23_6

x+3_4 =-√23_4

x = -3+√-23___4

x = -3- √-23___4 , -3+√-23___4 //

Mark my answer as branlist answer

follow me on my another account "sarivigakarthi"

Kamil has 72 baseball cards. He wants to put the cards
in a book. He can fit 9 cards on each page of the book.
Which number sentence can be used to find the number
of pages Kamil can fill with baseball cards?
А
72x9=
B
72-9=
C
72 +9=
D
72=9=

Answers

You would use 72/9 , ( division ).

Which table represents a linear function?

Answers

Answer:

top right

Step-by-step explanation:

It’s the first one I think

Please help it’s due at 11:59

Answers

Answer:

c=-16

Step-by-step explanation:

The students in Jeremiah's grade voted to select a guest speaker. 45 students voted for a famous athlete. If there are 90 students in Jeremiah's grade, what percentage of the students voted for the athlete?

Write your answer using a percent sign (%).

Answers

Answer:

50%

Step-by-step explanation:

45 is half of 90. A percent is out of 100. So when you split 100 in half, it equals 50. The answer is 50%. Glad I could help!

Answer:

50% of the students voted for the athlete.

Step-by-step explanation:

half of 90 = 45 which means 45 + 45 = 90

so 50% of the class voted for the athlete

what is the area of a 3 and a quarter inch circle?

Answers

Answer:

33.2in²

Step-by-step explanation:

to find area we have to find redious first sor=d/2

therefore

[tex]r = \frac{3 \frac{1}{4} }{2} [/tex]

[tex]r = \frac{ \frac{13}{2} }{2} [/tex]

[tex]r = \frac{13}{2} \div 2[/tex]

[tex]r = \frac{13}{4} [/tex]

[tex]area \: of \: a \: circle \: = \pi {r}^{2} [/tex]

[tex] = \pi (\frac{13}{4} ) ^{2} i {n}^{2} [/tex]

[tex] = \pi \times \frac{169}{16} {in}^{2} [/tex]

[tex] = \frac{169\pi}{16} i {n}^{2} [/tex]

[tex] = 33.2 \: i {n}^{2} [/tex]

What is a formula for the nth term of the given sequence? 160,200,250

Answers

Answer:

can i see the picture?

picture?
l need to see that picture first

Original gas price 1.25 new gas price one dollar 1.75 find the percent of increase

Answers

Answer:

140%

Step-by-step explanation:

1.25 * x/100=1.75

125*x=175

x=1.4

So the awnser is %140 percent

What is 4/5 as a decimal?

Answers

Answer:

Umm, 0.8

Step-by-step explanation:

Is this fr?

0.8. Because it just is idek

if there are 8 questions on a test and you get on all of them, what is the chance you get all 8 correct?
ASAP

Answers

Answer: or 13%

Step-by-step explanation:

Sum of two numbers = 15 (Addition)

Difference of two numbers =3 (Subtraction)

Find the two numbers.

What is the product of those two numbers? (Multiplication)

Answers

Answer:

The numbers are  x= 9 and y =6

The product of two numbers

x y  = 9 × 6 = 54

Step-by-step explanation:

Step(i):-

Let x and y are two numbers

Given that the sum of two numbers

 x + y = 15 ..(i)

Given that the difference of two numbers

x - y = 3 ..(ii)

adding (i) and (ii) , we get

x + y + x -y = 15 +3

  2 x = 18

    x =9

Step(ii):-

Substitute x = 9 in equation (i) , we get

x + y = 15

9 + y = 15

     y = 15 - 9

    y = 6

Final answer:-

The numbers are  x= 9 and y =6

The product of two numbers

x y  = 9 × 6 = 54

On a coordinate plane, which theorem can be used to prove that a quadrilateral is a parallelogram if only the slopes of the sides of the quadrilateral can be calculated?​

Answers

Answer: D.

Step-by-step explanation:

How do you do these question and what's the answer?

-1/3 (n + 15) = -2
46 = -6t -8

Urgent. Please answer ASAP. Thanks guys!

Answers

Answer:

n= -9, t= -9

Step-by-step explanation:

1) -1/3(n+15)=-2

-1/3×n+-1/3×15=-2

-1/3×n -5= -2

-1/3 n-5+5= -2+5

-1/3×n=3

3/-1×-1/3×n=3/-1×3

n= -9

2) 46 = -6t -8

−6t−8=46

−6t−8+8=46+8

−6t=54

Divide both sides by -6

t=-9

Find the values of x and y in the d

Answers

9514 1404 393

Answer:

x = 20y = 10

Step-by-step explanation:

The angle marks show that ΔRST is isosceles, so RT = RS. They also show ΔRTU to be equilateral, so UT = RT.

  UT = RS

  x -5 = 15

  x = 20 . . . . . . add 5

__

ΔRTU is equilateral, so ∠RTU is 60°. The angle marked 3y° is complementary to that.

  3y = 30

  y = 10 . . . . . divide by 3

simplify the expression to a single numerical value ​

Answers

Answer:

B. 432

Step-by-step explanation:

I used a calculator.

a. Identify the series of transformations that would map Circle A onto Circle B.
b. Identify the series of transformations that would map Circle C onto Circle A.​

Answers

Answer:

Step-by-step explanation:

Assumed Knowledge

Motivation

Content

Radii and chords

Angles in a semicircle

Angles at the centre and circumference

Cyclic quadrilaterals

The alternate segment theorem

Similarity and Circles

Links Forward

Converse of the circle theorems

Coordinate geometry

Calculus

History and Applications

The Euler line

The nine-point circle

Morley’s trisector theorem

Appendix − Converses to the Circle Theorems

Answers to Exercises

return to top

ASSUMED KNOWLEDGE

Introductory plane geometry involving points and lines, parallel lines and transversals, angle sums of triangles and quadrilaterals, and general angle-chasing.

Experience with a logical argument in geometry written as a sequence of steps, each justified by a reason.

Ruler-and-compasses constructions.

The four standard congruence tests and their application to proving properties of and tests for special triangles and quadrilaterals.

The four standard similarity tests and their application.

Trigonometry with triangles.

return to top

MOTIVATION

Most geometry so far has involved triangles and quadrilaterals, which are formed by intervals on lines, and we turn now to the geometry of circles. Lines and circles are the most elementary figures of geometry − a line is the locus of a point moving in a constant direction, and a circle is the locus of a point moving at a constant distance from some fixed point − and all our constructions are done by drawing lines with a straight edge and circles with compasses. Tangents are introduced in this module, and later tangents become the basis of differentiation in calculus.

The theorems of circle geometry are not intuitively obvious to the student, in fact most people are quite surprised by the results when they first see them. They clearly need to be proven carefully, and the cleverness of the methods of proof developed in earlier modules is clearly displayed in this module. The logic becomes more involved − division into cases is often required, and results from different parts of previous geometry modules are often brought together within the one proof. Students traditionally learn a greater respect and appreciation of the methods of mathematics from their study of this imaginative geometric material.

The theoretical importance of circles is reflected in the amazing number and variety of situations in science where circles are used to model physical phenomena. Circles are the first approximation to the orbits of planets and of their moons, to the movement of electrons in an atom, to the motion of a vehicle around a curve in the road, and to the shapes of cyclones and galaxies. Spheres and cylinders are the first approximation of the shape of planets and stars, of the trunks of trees, of an exploding fireball, and of a drop of water, and of manufactured objects such as wires, pipes, ball-bearings, balloons, pies and wheels.

a) The series of transformations to map Circle A onto Circle B is likely a translation. b) The series of transformations to map Circle C onto Circle A is a translation, rotation, and scaling.

a. To map Circle A onto Circle B, we must determine the transformation sequence. We can scale, rotate, and translate.

Translation: An object is translated horizontally or vertically without affecting shape or orientation. To match Circle B, Circle A appears to need to be shifted right and up.

Rotation: An object rotates around a fixed point. Rotation may not be needed since Circle A and Circle B appear to be aligned.

Scaling: An object is resized by scaling. Since Circle A and Circle B are the same size, scaling doesn't seem necessary.

Thus, Circle A-to-Circle B transformations are likely translations.

b. Again, we must determine the transformation sequence to transfer Circle C onto Circle A. Translation: Based on their relative positions, Circle C needs to be shifted left and down to match Circle A.

Rotation: To align Circles A and C, they must be rotated.

Scaling: Circle A is larger than Circle C, hence Circle C should be scaled down.

Thus, translating, rotating, and scaling map Circle C onto Circle A.

To know more about transformations

https://brainly.com/question/29788009

#SPJ2

Question 1- Andre says that 4x + 7 + 6x + (-1) and 15x + 5 + 1 - 5x are equivalent because they both equal 10x + 6. Do you agree with Andre? a) No b) Yes
Explain your reasoning for your choice above.​

Answers

Answer:

Yes

Step-by-step explanation:

[tex]4x + 7 + 6x - 1\\10x + 6[/tex]

[tex]15x + 5 + 1 -5x\\10x+6[/tex]

They both equal 10x + 6

Answer:

no they are not equal bcz Lhs is not =Rhs

Test worth 50 points; test score of 96 write a proportion to find how many points a student needs to score on the test to get the given score.

Answers

Answer: The student needs 144 points to get a score of 96%

Step-by-step explanation:

Choose two pairs of alternate interror angles.

Answers

Answer: angle 5 and angle 10

angle 8 and angle 11

hope this helps!

Please help me with this question?

Answers

His dinner break is at 2:00 am

x/7-1=1-2/3y
HELPPPPP

Answers

Answer:

-14/3y+ 14

Step-by-step explanation:

hope this helps

Neeeeddddd helllppp nowwwwww!!!!

Answers

Answer:

the area is 670.32 but it's not in there

Point I is on line segment HJ. Given HI = x, IJ = 2x + 9, and H J = 4x,
determine the numerical length of IJ.

Answers

:
length is 199
:
first you do this then that

The graph of which function has an amplitude of 3 and a right phase shift of ?

Answers

Answer:

The first one

Step-by-step explanation:

The amplitude is usually the first number (for example, in this equation, the 3). Then you also know that the right or left shift depends on the addition or subtraction sign. Usually, the subtraction sign means to the right and the addition sign means to the left.

We have that the graph of which function has an amplitude of 3 and a right phase shift of [tex]\phi= \frac{\pi}{4}[/tex]  is

[tex]3sin2(x+\phi)[/tex]

The Correct option is D

From the Question we are told that

A graph has

Amplitude of 3

Phase [tex]\phi= \frac{\pi}{4}[/tex]

Generally the equation for the Wave Equation  is mathematically given as

[tex]Asin(kx-wt+\phi)[/tex]

Therefore the Equation for this particular wave is

[tex]3sin2(x+\phi)[/tex]

Hence

The graph of which function has an amplitude of 3 and a right phase shift of [tex]\phi= \frac{\pi}{4}[/tex]  is

[tex]3sin2(x+\phi)[/tex]

The Correct option is D

For more information on this visit

https://brainly.com/question/5043880

73 divided by the difference between 12 and 7


Answers

Answer:

14.6

Step-by-step explanation:

difference: 12-7=5

division: 73/5=14.6

The 73 divided by the difference between 12 and 7 is equal to 14.6.

To properly calculate 73 divided by the difference between 12 and 7, we follow these steps:

Calculate the difference between 12 and 7:

12 - 7 = 5

Divide 73 by the difference obtained:

73 ÷ 5 = 14.6

Therefore, 73 divided by the difference between 12 and 7 is equal to 14.6. This means that if we take the value 73 and divide it by the difference between 12 and 7, the quotient will be 14.6. The difference between 12 and 7 is 5, and when we divide 73 by 5, we obtain 14.6. It is important to note that the result is a decimal value, specifically 14.6.


To know more about divided:

https://brainly.com/question/15381501


#SPJ6

Joe’s Coffee is having a stained glass window installed on their front door. Approximately how much glass will be needed to create the stained glass window?
PLSS USE STEPSSS!!!!
A) 2.4
B) 9.6
C) 11
D) 38.5

Answers

Correct option :

[tex]\color{plum}\tt \: D) 38.5 [/tex]

Steps to derive correct answer :

Diameter of the stained glass window Joey needs = 3.5

Area of the window = quantity of glass Joey needs

Area of the window :

[tex] = \tt\pi {r}^{2} [/tex]

[tex] = \tt3.14 \times 3.5 \times 3.5[/tex]

[tex] =\tt 3.14 \times 12.25[/tex]

[tex] =\tt 38.46[/tex]

38.46 can be rounded off to 38.5.

Therefore, quantity of glass needed to make the stained glass window = 38.5

A bicycle was priced at $400. Later the price was reduced by 20%. What is the price after the reduction?

Answers

Answer:

320

Step-by-step explanation:

400*80/100=320

Answer:

$320 is the final price, $80 is the amount taken off

I NEED ANSWERS ASAP ITS DUE TODAY

Answers

Answer:

C

Step-by-step explanation:

First find the radius:

5 pi = 2 pi r

cancel out pi

5 = 2r

r = 5/2

Then find the area:

A = pi r^2

A = pi 5/2^2

A = 25/4 pi

Other Questions
How many moles are present in 44.8 L of nitrogen gas (Na)? If someone could please help me I really need help me with geometry The symbol is used to indicate that a line of text is a comment. Does the following system of equations have : Infinitely many solutions or No solution ?2:+y = 2y = -21 - 1 Proportional or Non-Proportional Solve p = 11/2 n + 22 for n WHAT INFORMATION DOES THE CORRELATION COEFFICIENT TELL YOU ABOUT A SCATTERPLOT What is the value of x?A. 6B. 5c. 4D.3 Feb. 1 Paid $500 for rent of hangar space in February.Feb. 4 Received customer payment of $1,510 to ship several items to Philadelphia next month.Feb. 7 Flew cargo from Denver to Dallas; the customer paid in full ($1,410 cash).Feb. 10 Incurred and paid $1,500 in pilot wages for flying in February.Feb. 14 Paid $116 for an advertisement run in the local paper on February 14.Feb. 18 Flew cargo for two customers from Dallas to Albuquerque for $2,130; one customer paid $860 cash and the other asked to be billed $1,270.Feb. 25 Purchased on account $1,755 in supplies for future use on the planes.Required:Prepare accrual basis journal entries for each transaction.Calculate the companys preliminary net income.Calculate the companys net profit margin expressed as a percent. Why should a good policy be both proscriptive and descriptive? Without specifics, a policy doesn't serve its purpose. Policy should be proscriptive, but not descriptive. With generalities, government is free to interpret as needed. Good policy doesn't need to be either as it is a general idea. This question has two parts. First, answer Part A. Then, answer Part B.Part AWhich sentence states a theme expressed in both passages?Humans are often frightening to animals.Humans can find pleasure in observing animals.Animals are better off in the wild than in human care.Animal behavior is dull and repetitive to human observers. Choose all stages of the information processing cycle. (30 points!!!!)Which scenario describes relationship of mutualism A. A polar bear catches a seal for dinner B. Birds feed off the insects that are stirred up from the grasses as cattle move through C. Yes oxpecker birds eat parasitic ticks off the backs of zebrasD. A taper latches its self in the intestines of a rat feeding off the nutrients eaten by the rat Which is the lower rate?(a) 2,133 km in 6 hours(b) 1,498 km in 7 hours The author writes, "Who would lug 1,000 pennies to the movies when they could bring a $10 bill?" What literary device is he using?Group of answer choicesrhetorical questionhyperbolemetahorsymbolism A ball having mass 2 kg is connected by a string of length 2 m to a pivot point and held in place in a vertical position. A constant wind force of magnitude 13.2 N blows from left to right. Pivot Pivot F F (a) (b) H m m L L If the mass is released from the vertical position, what maximum height above its initial position will it attain? Assume that the string does not break in the process. The acceleration of gravity is 9.8 m/s 2 . Answer in units of m Find the exact value of tan 150 in simplest form with a rationaldenominator. A 35 kg box initially sliding at 10 m/s on a rough surface is brought to rest by 25 Nof friction. What distance does the box slide? 17. GradPointGuided PracticeAnn receives a 4% commission on her sales. Her last paycheck included $196 in commissions. Solve the formula C = 0.04s for s, where C is the amount of commission and s is the amount of sales. Then substitute to find her sales.A.$4,900B.$7.84C.$196.04D.$195.96 please answer and fast i am in a test