A sequence is shown below.



32, 26, 20, 14...
Which explicit formula can be used to determine the nth term in the sequence?
a^n =6n+38
a^n= -6n+38
a^n= -6n+32
a^n= 6n+32​

Answers

Answer 1

Answer:

a^n = -6n + 32

Step-by-step explanation:

32 - 6 = 26

26 - 6 = 32 - 6.2 = 20

20 - 6 = 32 - 6.3 = 14

-> a^n = -6n + 32


Related Questions

2). Bill has twice as many candies as Fred. Tim has 3 fewer than 3 times as many candles as Fred.
In all, they have 177 candies. How many do they each have?

Answers

Step-by-step explanation:

Answer:-

[tex]\tt{Let \ the \ candies \ taken \ by \ Fred \ be \ x.}[/tex]

Now, let's Solve!

So, according to Question,

Bill = 2x

Tim = 3x-3

Total Candies = 177.

[tex]\bf{x+2x+3x-3=177}[/tex]

Totalling x,

[tex]\bf{6x-3=177}[/tex]

[tex]\bf{6x=177+3}[/tex]

[tex]\bf{6x = 180}[/tex]

[tex]\boxed{\sf{x = 30}}[/tex]

So, Fred has 30 candies.

Bill's Candies = 2×30 = 60 Candies

Tim's Candies = 3×30-3 = 90-3 = 87 Candies.

Hope it helps :)

thank you in advance

how do i solve or come up for things like this for example:
write an equation for the line that passes through (3,-6) and (8,9)

Answers

Answer:

rise/run 6/15 6/15 = 0.4

Step-by-step explanation:

Answer:

y=15/-5x+5 OR y=-3x+5

Step-by-step explanation:

any answer works. the 2nd one is just the simplified version of the first one

Fifteen is equal to 7 more than twice a number. Write the equation and
nd the number.

Answers

15 = 7+2x or 15= 2x + 7 is the equation and x=4

Which table does not represent a proportional relationship? Please give an accurate answer and explanation! thank you so much and good luck. whoever I declare brainiest gets 25 points​

Answers

Answer:

the 2nd one

Step-by-step explanation:

What is the ratio AC: CB?​

Answers

Answer:

D. 1 : 2

Step-by-step explanation:

Given:

A(-6, -2),

B(6, 7),

C(-2, 1)

Required:

Ratio of AC : CB

SOLUTION:

Find AC:

[tex] AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(-6, -2) = (x_1, y_1) [/tex]

[tex] C(-2, 1) = (x_2, y_2) [/tex]

[tex] AC = \sqrt{(-2 -(-6))^2 + (1 -(-2))^2} [/tex]

[tex] AC = \sqrt{(4)^2 + (3)^2} [/tex]

[tex] AC = \sqrt{16 + 9} = \sqrt{25} [/tex]

[tex] AC = 5 [/tex]

Find CB:

[tex] CB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] C(-2, 1) = (x_1, y_1) [/tex]

[tex] B(6, 7) = (x_2, y_2) [/tex]

[tex] CB = \sqrt{(6 -(-2))^2 + (7 - 1)^2} [/tex]

[tex] CB = \sqrt{(8)^2 + (6)^2} [/tex]

[tex] CB = \sqrt{64 + 36} = \sqrt{100} [/tex]

[tex] CB = 10 [/tex]

Find AC : CB

AC : CB = 5 : 10 = 1 : 2

Determine the y-intercept of the following parabola:

y = 2(x - 5)2 + 4


(0,____ )

Answers

Answer:

              (0, 54)

Step-by-step explanation:

(x, y) = (0, __) ⇒ x=0

y = 2(x - 5)² + 4

y = 2(0 - 5)² + 4

y = 2×25 + 4

y = 50 + 4

y = 54  ⇒  (0, 54)

a 21-ounce box of cereal costs $3.87.what is the unit price of the cereal?

Answers

Answer:

$0.18 per ounce

Step-by-step explanation:

$3.87/21=0.1842857....

Round to the nearest $0.01

1 ounce box cost $0.182.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

21-ounce box of cereal costs $3.87

So, 1 ounce box cost= 3.84 / 21

                                  = $0.182

Hence, 1 ounce box cost $0.182.

Learn more about unitary method here:

https://brainly.com/question/22056199

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Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 23 of the number of part 2 questions. What was the total number of questions on Stephanie's exam? 32 40 44 48

Answers

Answer:

44

Step-by-step explanation:

Let x and y be the total number of questions in part 1 and part 2 exams respectively.

For part 1:

Number of correct question = 4/5 of the total number of question in part 1

[tex]\Rightarrow 16=\frac{4}{5}\times x[/tex]

[tex]\Rightarrow x=20[/tex]

For part 2:

Number of corrected question = 2/3 of total number of question in part 2

[tex]\Rightarrow 16=\frac{2}{3}\times x[/tex]

[tex]\Rightarrow x=24[/tex]

So, the total umbers of the questions on Stephanie's exam

=x+y

=20+24

=44

Hence, the total umbers of the questions on Stephanie's exam was 44.

Bruh can someone please help me

Answers

It is $1.21 per song downloaded
The answer is 1.21 dollars per song

when a figure translated, reflected, or rotated, what’s the same about the original figure and it’s image? what’s different

Answers

Answer:

The size of the figure is still the same, but the positioning on the coordinate grid is different.

Step-by-step explanation:

The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.

What is reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection. The reflection equation of the new reflected graph will be y=f(x), y = f (x) given an equation, y= -f(x), y = -f (x). In other words, the function is just multiplied by 1, which results in a curve that crosses the x-axis.The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.

As, it is stated in the description that the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.

Therefore, the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.

Know more about reflection here:

https://brainly.com/question/27979059

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Please help for 50 points

Answers

Answer:

sometimes

never

always

sometimes

Step-by-step explanation:

Answer:

sometimes

never

always

sometimes

Step-by-step explanation:i did this...i got it correct

Find the slope of the line passing through each of the following pairs of points and draw the graph of the line.

(−4, 3), (2, 3)

Answers

Answer:

0, draw a horizontal line

Step-by-step explanation:

vert. change/hori. change

(3-3)/(-4-2)=0/-6=0

It was -8°F in the morning. The temperature increased throughout the day, and in the afternoon, it was 11°F. How much did the temperature change?

Answers

Answer:

19

Step-by-step explanation

This is simple

I will teach you a simple technique

Count them, don't count the -8

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

You are just subtracting, but instead counting.

I said not to count -8, because normally in subtraction, we normally don't count the number we are subracting.

for example

8 - 7 = 1

so counting technique

8 - 7, 6, 5, 4, 3, 2, 1

there are 7 numbers, if i didn't count the 8

so it is right.

hope you understand :-)

Whats a equation that has many solutions?​

Answers

Answer:

3x + 1  - 6 = 3x + 2 - 7

Step-by-step explanation:

Since both sides of the equation are equal, x has infinite solutions.

My question is in the picture:)

Answers

Answer:

10,000

Step-by-step explanation:

The equation c = 2r + 8 represents the cost of an amusement park. C represents the total cost, r is the cost per ride and 8 is the entrance fee to enter. Determine whether there is a proportional relationship between r and c.

Answers

Answer:

yes there is because if you do

0505050505050505050 multiplied by 485948

Answers

Answer:

[tex]Product = 2.4542828 * 10^{24}[/tex]

Step-by-step explanation:

Given

[tex]Digit= 0505050505050505050[/tex]

[tex]Digit = 485948[/tex]

Required

Determine the product

The product is:

[tex]Product = 0505050505050505050 * 485948[/tex]

[tex]Product = 2.4542828 * 10^{24}[/tex]

There are 3 cats in a room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.

"A diagram of 3 identical cats."
There are ______ paws for every tail.

Group of answer choices

4

1

2

8
6TH GRADE NOT 10 :)

Answers

Answer:

4 paws for every tail. Hope this helps.

Answer:

4:1

Step-by-step explanation:

which two points lie on a line with a slope closest to zero ?​

Answers

Answer:

Point N and point K

Step-by-step explanation:

The steeper a line is in the graph, the greater the value of the slope of the line would be, and also, the farther it would be from 0. On the other hand, the more gentle and less sloppy a line is, the smaller the value of the slope is, and also, the closer it is to 0.

From the graph given, there are possible set of points in a line that have a gentle line slope.

The first is, points N and K. The slope of this line is ⅑.

The second is, points P and L. The slope of this line is ⅙.

From the two above lines, the one with a slope closest to 0 is the line that runs through points N and K. ⅑ is closer to 0 than ⅙.

Simplify the following expression. 5/2 + 11/60


A. 31/60


B. 3/5


C. 2/9


D. 37/60

Answers

Answer:

None; equals 161/60

Step-by-step explanation:

5/2    +     11/60

*60             *2

300/120 +  22/120

= 322/120

/2

161/60

D. 37/60 is your answer

Sorry for the weird looking image help me please :)

Answers

1 : Go .....

[tex]A= bh \: [/tex]

Divided sides by b

[tex] \frac{A}{b} = h \times \frac{b}{b} \\ [/tex]

thus ;

[tex]h = \frac{A}{b} \\ [/tex]

_________________________________

2 : Go .....

[tex]area = height \times length(base) \\ [/tex]

[tex]45 = h \times 9[/tex]

Divided sides by 9

[tex] \frac{45}{9} = h \times \frac{9}{9} \\ [/tex]

[tex]h = 5 \: ft[/tex]

And we're done...

♥️♥️♥️♥️♥️

Rubi works at a party-planing company and makes $7.50 per hour. Her weekly paycheck also inclides a $5 bonus for every party she schedules. Her $265 paycheck last week was for 30 hours. How many parties did she schedule? Explain how you found you're answer.​

Answers

Answer:

8 parties

Step-by-step explanation:

First, find how much of her paycheck was from working 30 hours:

7.50(30)

= 225

Then, subtract this from 265, to find how much money was from bonuses:

265 - 225

= 40

To find how many parties she scheduled, divide 40 by 5, since each party she schedules gives her a $5 bonus:

40/5

= 8

So, she scheduled 8 parties

Determine which ordered pair is a solution of y= x+2/5

Wouldn’t it be (0, 2/5)?

Answers

Answer:

(-1,2/5) i'm pretty sure

Step-by-step explanation:

Answer:

(2, 2 2/5)

Step-by-step explanation:

(0, 2/5) is correct, and since the slope is 1, adding any number to both the x and the y would still make it a solution.

In this case, you could add 2 to both x and y, resulting in (2, 2 2/5).

Hope it helped, and if it did, could you consider giving me brainliest? :)

Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
The product of 2 and the difference of a number and 9.

Answers

Answer:

1

Step-by-step explanation:

2

I
- Marissa is trying to lose some weight. So far she has lost 13 pounds. Her goal is
to lose 51 pounds. She is on a calorie counting plan that will allow her to lose
2 pounds a week. What is the minimum number of weeks she must follow her
plan before she hits her goal?

Answers

Answer:

6

Step-by-step explanation:

Jade can do 65 push ups in 5 minutes. At the same rate, how many push ups can you expect her to do in 7 minutes?

Answers

Answer:

91

Step-by-step explanation:

Set up a proportion, where x is the number of push ups she can do in 7 minutes

[tex]\frac{65}{5}[/tex] = [tex]\frac{x}{7}[/tex]

Cross multiply and solve for x:

5x = 455

x = 91

So, Jade can do 91 push ups in 7 minutes

Answer:

She can do 91 pushups

Step-by-step explanation: make an equation

19(-16)
helpppppppppppppppp

Answers

the answer to your question is -304

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

Answers

Answer:

The statement is;

The polynomial function has 3 roots with 2 being real roots and 1 being a complex root

Step-by-step explanation:

Here, we want to state the description of the number and nature of all roots for this function.

The statements are;

1. The polynomial have three roots

2. There are 2 real roots and 1 complex root

Answer:

A

Step-by-step explanation:

on edg 2020!

how do you write y-2=-1/3(x-7)

Answers

Answer:

y= -1/3 + 13/3

Step-by-step explanation:

y-2=-1/3(x-7)

Use the distributive property to simplify the right side of the equation

y-2=(-1/3 * x) + (-1/3 * -7)

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

Add 2 to both sides get the y by itself. 2 can be expressed as 6/3

(y-2) + 2=(-1/3x + 7/3) + 6/3

y= -1/3x + 13/3

Use the side lengths of triangle DEF and the fact that the triangles are similar to find the length of side AB and type your answer below. (Note: Do NOT include a unit label in your answer.)

ILL GIVE YOU A BRANLIEST IF YOU GET IT RIGHT

Answers

[tex] \frac{12}{3} = \frac{AB}{4} \\ [/tex]

[tex]4 = \frac{AB}{4} \\ [/tex]

Multiply sides by 4

[tex]AB = 16[/tex]

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