Watch help video
Write an
explicit formula for An, the nth term of the sequence 32, 25, 18, ....

Answers

Answer 1

Answer:

         [tex]\bold{a_n=-7n+39}[/tex]

Step-by-step explanation:

25 - 32 = -7  and 18 - 25 = -7

It means an arithmetic sequence with common difference d = -7

[tex]a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}[/tex]


Related Questions

find the value of X

Answers

Answer:

x = [tex]\frac{91}{6}[/tex]

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of 1 chord is equal to the product of the parts of the other chord, that is

6x = 7 × 13 = 91 ( divide both sides by 6 )

x = [tex]\frac{91}{6}[/tex]

For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is
$103.72
What are the possible numbers of minutes she has used her phone in a month?
Usem for the number of minutes, and solve your inequality for m.
DO

Answers

Answer:

1312.5 minutes

Step-by-step explanation:

For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is $103.72

What are the possible numbers of minutes she has used her phone in a month?

Use m for the number of minutes, and solve your inequality for m.

The term least = ≥ = greater than or equal to

Our inequality equation is given as:

$25 + $0.06 × m ≥ $103.72

25 + 0.06m ≥ 103.72

0.06m ≥ 103.72 - 25

0.06m≥ 78.75

m ≥ 78.75/0.06

m ≥ 1312.5 minutes

The possible number of minutes she used is 1312.5 minutes

Find the area of each figure. use 3.14 for π (20 POINTS)

Answers

Answer:

        51.5 ft

Step-by-step explanation:

[tex]A=(3+8)\cdot4+\frac12\cdot3\cdot2+\frac12\cdot3\cdot3=44+3+4,5=51.5\,ft[/tex]

can someone help me with 25 ?? due at 8 any help would be great

Answers

Answer:John doesn’t run at a constant pace. If he did, the graph would have a straight line from 0 to the end. Instead, John pace during the race changed quite a lot and he even stopped at one point.

scientific notation without common powers of ten

Answers

Answer:

1.16*10⁻¹ or 1.16E-1

Step-by-step explanation:

(5.8*10⁻⁶)(2*10⁴)

5.8*2*10⁻⁶*10⁴

11.6*10⁻²

1.16*10⁻¹

1.16E-1

How would you solve this?

Answers

Answer:

f(x) = (1/5)^x

Step-by-step explanation:

We have

x = 1, f(x) = 1/5

x = 0, f(x) = (1/5)^0 = 1

x = 2, f(x) = (1/5)^2 = 1/25

That means we have

f(x) = (1/5)^x

Answer:

f(x)=[tex]5^{-x}[/tex]

Step-by-step explanation:

Not sure if this is what you're looking for but i hope this helps

y=2/3x+2. I need help

Answers

2 is the y intercept and 2/3 is the slope.. if you need help graphing it go up 2 and over 3 continuously until you get a line.. hope this helps

Answer:

Using the slope-intercept form, the slope is 23, but you will have to combine 2/3 and x. y= 2x/3+2

Step-by-step explanation:

if this helped subscribe to amiredagoat Yt

What is the slope of the graph of y=−8x+15 ?

Answers

See the file attached (photo) above - That is the graph for (-(8*x))+15

Graph the line using the slope and y-intercept, or two points.

Slope: −8

y-intercept: (0,15)

x y

0 15

1 7

#CarryOnLearning

XxKim02xX

how do i estimate 260000?

Answers

Answer:

260000

Estimate = 300000

A bag contains 6 green marbles, 5 blue, and 9 red. What is the probability that you will select two green marbles from the bag?

Answers

Answer:

2/20

Step-by-step explanation:

if you add all of the marbles you will get 20 marbles in total.

Help I need help I’m struggling

Answers

Answer:

the slope is 3/2

Step-by-step explanation:

Answer:

1.5

Explanation:

the slope of the line can be calculated by rise ÷ run, or the vertical increase divided by the horizontal increase. we can see that from the point (1,-3) to the point (3,0), the line increases vertically by 3 and horizontally by 2.

since the line is moving upwards, it is positive.

thus, the slope of the line is 3 ÷ 2 = 1.5.

help please by tonight !! Thank you (answer only)

Answers

Answer:

5.) 48

6.) 60

It's the other half of the triangle.

Consider the function: h(x) = 11 - 3x What is h(-2) ?​

Answers

Answer:

17

Step-by-step explanation:

11-3x

11-3(-2)

11+6

Hence, 17

Hope it helps!

The evaluation is 17 when h(-2) of h(x) = 11-3x.

What is a function?

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.

The given function is

h(x) = 11-3x

when x = -2

h(-2) = 11-3(-2)

       = 11 + 6

        = 17.

Therefore, the h(x) = 11-3x is 17 when x = -2

To learn more about the function;

brainly.com/question/28303908

#SPJ2

Please explain in detail step by step

Answers

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

"la temperatura mas baja conocida en la tierra es de 273° bajo cero mientras que la temperatura promedio de la superficie de la tierra es de 37 calcula la variacion de la temperatura"

Answers

Answer:

Variación de temperatura: 310°C

Step-by-step explanation:

La variación de temperatura entre la temperatura más baja conocida en la tierra (-273°C = 273° bajo cero) y la temperatura promedio de la tierra (37°C) será el valor absoluto de la diferencia de estos dos valores, es decir:

Variación de temperatura: |-273°C - 37°C|

Variación de temperatura: |-310°C|

Como el valor absoluto de un número negativo es su valor positivo (|-x| = x)

Variación de temperatura: 310°C

if dillon read 5 articles, how many social media posts did he read

Answers

Answer:

Not enough information to answer this question.

A ship travels due west for 83 miles . It then travels in northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree how many degrees north of west did it turn when it changed direction? Show your work.

Answers

*see attachment for the diagram of the information given

Answer:

115.8°

Step-by-step explanation:

Due west = 83 miles

Northwest = 111 miles

Distance to its original position = 165 miles

Let x represent the degree north of west that it turned when it changed direction which is the opposite angle of 165 miles.

Thus, to find x, we'd apply the Law of Cosine which is given as:

c² = a² + b² - 2ab*cos C

Where,

C = x

a = 83 miles

b = 111 miles

c = 165 miles

Plug in the values

165² = 83² + 111² - 2*83*111*Cos x

27,225 = 19,210 - 18,426*Cos x

27,225 - 19,210 = - 18,426*Cos x

8,015 = -18,426*Cos x

8,015 = -18,426*Cos x

8,015/-18,426 = Cos x

-0.434983176 = Cos Cmx

Cos x = -0.434983176

x = cos^{-1}(-0.434983176)

x = 115.784223°

x = 115.8°

Kate conducts a survey at her middle school to determine the students' favorite sport. Which sampling method would best produce a representative sample of the population?

Answers

Incomplete question. The missing options read;

a. Kate surveys every 8th student from a roster of the choir members.

b. Kate surveys the football team.

c. Kate surveys seventh-grade students.  

d. Kate surveys every 4th student entering the school.

Answer:

d. Kate surveys every 4th student entering the school.

Step-by-step explanation:

Interestingly, after careful examination of all the listed sampling methods, none except option d would best produce a representative sample of the population.

This is because;

in the first, second, and third option, none of them evenly represents the entire school population; meaning it fails to produce a representative sample of the population.

However, if Kate surveys every 4th student entering the school, then chances of getting a representative sample of the entire school population are very likely; as different grade level students would likely be entering into the school when the survey activity is taking place.

What is Common denominator of 1/6 and 3/4? 30, 48, 20, or 64?

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Find the surface area of the square pyramid (above) using its net (below)​

Answers

Answer:

please where is the above square pyramid

Step-by-step explanation:

please I wish I could help you but your question is in complete

Molly is using a map with a scale of 12 = 40 molly needs to travel from point x to point y how far does she need to travel

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Ratio=12:40[/tex]

Required

Determine the actual distance between x and y

The question is incomplete, as the scale distance between x and y is not given.

To solve this, we make assumptions.

A scale measurement is represented as:

[tex]Ratio = Scale : Actual[/tex]

So, we have:

[tex]Scale : Actual = 12 : 40[/tex]

Express as fraction

[tex]\frac{Actual}{Scale} = \frac{40}{12}[/tex]

Make Actual, the subject

[tex]Actual = \frac{40}{12} * Scale[/tex]

Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:

[tex]Actual = \frac{40}{12} * 60[/tex]

[tex]Actual = 200[/tex]

Write the trigonometric expression in terms of sine and cosine, and then simplify. cot()/sin()-csc()

Answers

Answer:

First, we know that:

cot(x) = cos(x)/sin(x)

csc(x) = 1/sin(x)

I can't know for sure what is the exact equation, so I will assume two cases.

The first case is if the equation is:

[tex]\frac{cot(x)}{sin(x)} - csc(x)[/tex]

if we replace cot(x) and csc(x) we get:

[tex]\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}[/tex]

Now let's we can rewrite this as:

[tex]\frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)} =\frac{cos(x)}{sin^2(x)} - \frac{1}{sin(x)}[/tex]

[tex]\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}[/tex]

We can't simplify it more.

Second case:

If the initial equation was

[tex]\frac{cot(x)}{sin(x) - csc(x)}[/tex]

Then if we replace cot(x) and csc(x)

[tex]\frac{cos(x)}{sin(x)}*\frac{1}{sin(x) - 1/sin(x)} = \frac{cos(x)}{sin(x)}*\frac{1}{sin^2(x)/sin(x) - 1/sin(x)}[/tex]

This is equal to:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}[/tex]

And we know that:

sin^2(x) + cos^2(x) = 1

Then:

sin^2(x) - 1 = -cos^2(x)

So we can replace that in our equation:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1} = \frac{cos(x)}{sin(x)}*\frac{sin(x)}{-cos^2(x)} = -\frac{cos(x)}{cos^2(x)}*\frac{sin(x)}{sin(x)} = - \frac{1}{cos(x)}[/tex]

The distance between A (-4, 2) and B(4, 2) is.

Answers

Step-by-step explanation:

the answer is 8 units

I remember I had this

The sum of 3 consecutive odd number is 53 What is the second number in the sequence

Answers

Answer:

Step-by-step explanation:

Let

x = first odd number

x + 2 = second odd number

x + 4 = third odd number

Total = 53

53 = x + (x + 2) + (x + 4)

53 = x + x + 2 + x + 4

53 = 3x + 6

53 - 6 = 3x

47 = 3x

x = 47/3

x = 15.7

x + 2 = second odd number

15.7 + 2 = 17.7

Second number = 17.7

Which 2 coins equals 30 cents when one is not a nickel?

Answers

Answer:

nickel and a quarter

Step-by-step explanation:

One is a nickel, the other is NOT a nickel... it is a quarter.

PLEASE HELP AND ASAP!!!! look at screenshot (10 pts)

Answers

Answer:

B

Step-by-step explanation:

Product refers to multiplication and B is the only one the uses multiplication with 8.

The answer is B.
This is because product means to multiply. Quotient is the the answer of a division problem. So the product of 8 (8 times) and the quotient of 6 and w ( 6 divided by w.) So yea. I hope this helps!

The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?

Answers

Answer:

The question has a picture attached of both rectangular prisms which I have attached and solved.

Answer:   1320 cm³

Step-by-step explanation:  

top prism = 5×12×10=600  

lower prism = 15×12×(15-10) = 720

Adding both volumes

720 + 600 = 1320 cm³

Find the area of the trapezoid

Answers

Answer: 1. 54, 2. 48

Step-by-step explanation: To find the area of a trapezoid you add the top base and the bottom base then divide them by two, and multiply them by the height.For #1. 8+10/2= 9 then 9x6=54 For #2. 4+12/2=8 then 8 x 6=48.

Answer:

Figure it out using this: Area= 1/2(Base 1 + Base 2) x Height

Bases are the tops and bottoms of the trapezoids

Step-by-step explanation:

Which of the following expressions represents the distance between −3.9 and −4.7?

NEED NOW

Answers

i hope this helps and yea i guess

Find the volume of the rectangular prism. Write your answer in simplest form. No links please

Answers

Answer:

0.055m³

Step-by-step explanation:

V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³

Other Questions
PLEASE HELP I WILL GIVE YOU 5 STARS AND BRAINLESTQuadrilateral ABCD is rotated 90 about the origin. Select the graph that shows this rotation. Which substances are compounds? Please help Can someone help me please The rectangle below has an area of x^2-15x+56x 15x+56x, squared, minus, 15, x, plus, 56 square meters and a length of x-7x7x, minus, 7 meters.What expression represents the width of the rectangle?Width= meters Who was barred from receiving the GI bill benifits? Please i need followers here help me guys I need help, please help Find the time required for an object to cool from 280F to 220F by evaluating the following where t is time in minutes. (Round your answer to four decimal places.) *280 t= 10 In 2 1 dT T 100 min A tennis court for singles play is 78 feet long and 27 feet wide. Part 1 out of 3 The court for doubles play is 9 feet wider than the court for singles play. How much more area is covered by the tennis court used for doubles play? The tennis court used for doubles play covers square feet more area than the court used for singles play. If the outside diameter of a pipe is 1.275 feet and the inside diameter is 0.975 feet how thick is the pipe HELP PLEASE! One similarity between opportunity costs and monetary costs is that both __________.A. never involve moneyB. always involve moneyC. always involve giving up somethingD. always involve beneficial consequences 9.How does a hummingbird's beak help it to meet its basic needs?Lector inmersivo(1 Punto)The beak helps the bird to fly.The beak allows the bird to swim fast.The beak scares away predators.The beak allows the bird to eat the nectar out of flowers. What part of the Earth will see no sunlight from November through March?Why? QUESTION 3PLEASE HELP ASAP Using all the notes on the staff and the letters given to you, type in the word this problem spells. Can somebody pls help me an alloy contains nickel and chromium in 3:2 ratio, find the mass of each metal in 540g of alloy. Read the paragraph from Nicks personal narrative.Standing alone in my familys barn, I thought about how much hard work and time my parents had investedhow much hard work and time we had all investedin maintaining a fully operational farm. I did not remember a time when my clothes had not reeked of manure or my hair had not held fast to brittle pieces of straw. What would happen if my parents had to sell the farm so we could move closer to my grandparents? Just as I was attempting to imagine a life in the city, a sudden commotion erupted and interrupted my thoughts. With animals squawking and dust flying, I scrambled to pinpoint the source of this unexpected intrusion. In seconds that felt more like minutes, I was successful . . . and I could scarcely believe what my eyes were seeing.Nick uses chronological order to relate his narrative. What effect does this have on his arrangement of the plot?It allows Nick to include extra details as he develops the events that lead to the most exciting parts of his story.It allows Nick to surprise the reader by disrupting the calm setting with unexpected excitement.It allows Nick to omit the conclusion because he states his feelings at the beginning of the narrative.It allows Nick to choose which events he will include and which events he would like to eliminate. 1. What is the area of the trapezoid? The diagram is not drawn to scale. How many community service hours are students required to work? Explain.