Question 1
1 pts
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
A. an
4n + 29
B. an
25 +(-4)(n-1)
C. an = -25 +(-4)(n-1)
D. an
= 4 + 25
Edit
View
Insert
Format
Tools
Table

Answers

Answer 1

Answer:

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]

Step-by-step explanation:

Given sequence is:

25, 21, 17, 13,...

Here

a1 = 25

a2 = 21

a3 = 17

First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.

So,

[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]

The explicit formula is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

Putting the value of a1 and d

[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]

Hence,

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]


Related Questions

Laura needed an electrician to provide electrical repairs in her kitchen. The electrician will charge Laura x ​dollars per hour for a 5-hour job and $20 for electrical parts, and also $50 for a new ceiling fan. Write an algebraic expression in simplest form to determine how much the electrician will charge Laura.

Give the expression and answer please

Answers

Answer:

The answer is 50x + 70

Step-by-step explanation:

I am happy to help. An expression has no equal sign. We don't know how much the electrician will charge Laura. But we do know how much hours the job is. Laura also has to pay for the electrical parts that are 20 dollars and 50 dollars for a new ceiling fan. This is an additional cost. In all, the expression would be 50x + 70, if it is simplified. You would add like terms, such as 20 and 50 to get 70.

36^(-2x+1)=216 solve for x PLZZZZZZ!!!!!

Answers

(6)^2(-2x+1)=(6)³

evaluating the power of both sides as having same base (6)

2-4x=3

2-3=4x

x=-0.25

The solution of the expression for the value of x is -0.25.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is [tex]36^{(-2x+1)}=216[/tex]

The expression can be written as:-

[tex](6)^{(2)(-2x+1)}=(6)^3[/tex]

Evaluating the power of both sides as having the same base (6)

2-4x = 3

2-3 = 4x

x = -0.25

Hence, the value of x is -0.25.

To know more about an expression follow

https://brainly.com/question/518453

#SPJ2

7. There are 19 red marbles for every black marble. If there are 120 marbles in the bag, how many red marbles are there? Explain or show your reasoning.

Answers

Answer:

114 marbles.

Step-by-step explanation:

Let the number of red marbles be r

Let the number of black marbles be b

Given the following data;

Total number of marbles = 120

Translating the word problem into an algebraic equation, we have;

[tex] r = 19b[/tex] .......equation 1

[tex] r + b = 120[/tex] ........equation 2

Substituting the value of "r" into equation 2, we have;

[tex] 19b + b = 120[/tex]

[tex] 20b = 120[/tex]

[tex] b = \frac {120}{20}[/tex]

b = 6 marbles.

To find the number of red marbles;

From equation 1;

[tex] r = 19b[/tex]

Substituting the value of "b" into equation 1, we have;

[tex] r = 19*6[/tex]

r = 114 marbles.

Therefore, there are 114 red marbles in the bag.

How much ply wood is needed to make 12
cabinets each requires 5 m long?

Answers

Answer:

60 m worth?

Step-by-step explanation:

5×12

Here is an expression: 4 ∙ 3ˢ Evaluate the expression when s is 1.
Help 25 points !!!!!!!!!!!

Answers

Answer:

1 -> 12s

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Solve for X
3= x/3.3 x=

Answers

X=9.9 I believe (sry if I’m wrong)

A line has a slope of 6 and includes the points (n,1) and (8,5). What is the value of n?

Answers

Answer:

The value of n:

[tex]n=\frac{22}{3}[/tex]

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

(n, 1)(8, 5)

Using the formula to find the slope of the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

[tex]n=\frac{22}{3}[/tex]

Write 0.09 repeating as a fraction.​

Answers

Answer:

0.09=9\100

Step-by-step explanation:

Delta math needed!!!

Answers

Parallel are the lines as they have same slope different y not

Answer:

Parallel

Step-by-step explanation:

Slopes of the line

Write the number below in expanded notation 75,966

Answers

7.596 to the 4th power

Rafael Is going on a trip to the beach with his family. The price of a hotel room is $120.85 per night. The family is sharing one room. The total bill before taxes is $483.40. How many nights are Rafael and his family staying in the hotel?

Answers

Answer:

They spend four nights

Step-by-step explanation:

Divide 483.40 by 120.85

help plz plz just answer questions

Answers

1.40
2.60
3. $1.35
4. 6%

Use the formulas to generate a Pythagorean Triple with x = 8 and y = 3.

Answers

A squared+b squared=c squared

5 squared+2 squared=c squared

25+4=29

The square root of 29 is C.

The order would be 2, 5, the square root of 29

(Hope this helped! If u dont mind, can u mabey give brainliest to me? <3)

Using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.

What are Pythagorean triples?

Pythagorean triples are a²+b² =c² where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, x=8 and y=3.

The formula is (x²+ y²)²= (x² - y²)² + (2xy)²

Now, (8²+ 3²)²= (8² - 3²)² + (2×8×3)²

(64+9)²=(64-9)² +(48)²

73²=55²+48²

5329=5329

Therefore, using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.

Learn more about the Pythagorean triple here:

https://brainly.com/question/15190643.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

The identity (x²+ y²)²= (x² - y²)² + (2xy)² can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?

plllllllllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

63/9=7

6.3/0.9=7

0.63/0.09 = 7

Step-by-step explanation:

7for the first one .7 for the second and 6.91 got the third

can you put your tongue in a not??

Answers

Answer:

No, it is physically impossible to put your tongue in a knot.

Step-by-step explanation:

If x2 = 10, what is the value of x?

Answers

Answer:

The value of x is 5

Step-by-step explanation:

5 x 2 = 10

Answer~

x= ±[tex]\sqrt{10} =[/tex] ± 3.1623

simplifyied~

x = 5

6 − 3.98 what is the answerrrrr

Answers

Answer:

2.02

Step-by-step explanation:

also you can do these on just a calculator :D

i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))

Answers

Im sure it's -3    Because well thats what  i got

If EG=71 , find the value of x

Answers

Answer:

A

Step-by-step explanation:

A = 71 so then EG = 91

Which points are 19 units apart?​

Answers

C i believe because -20 - 1 is 19
C I think sry if I’m wrong Oop:( :)

In a survey of 3100 people who owned a certain type of​ car, 1240 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

40% of people would buy the car again.

Hope this helps!

Step-by-step explanation:

(tan x - 1) (sin^2x - 3) =0
no answer necessary

Answers

Answer:

0

Step-by-step explanation:

Thx

Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x

Answers

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

negation "If it rains then I take an umbrella."

Answers

this means that if it’s raining take an umbrella and go thru it regardless in life

Solving Quadratic Equations Maze 1
x²- 8x - 33 = 0

Answers

X= 11, -3 ajshbsyevejsgsvxhfvs

The solutions to the given quadratic equation are x=11 and x=-3.

The given quadratic equation is x²-8x-33=0.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

By using splitting middle term method, we get

x²-11x+3x-33=0

x(x-11)+3(x-11)=0

(x-11)(x+3)=0

(x-11)=0 and (x+3)=0

x=11 and x=-3

Therefore, the solutions to the given quadratic equation are x=11 and x=-3.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ6

Ben needs to buy an equal number of sunglasses and beach balls to place in gift bags. Each pair of sunglasses costs $4 and each beach ball costs $2.50. If he has $45 to spend on the sunglasses and beach balls, then the inequality 4x + 2.5x greater than or equal to 45 can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of sunglasses and beach balls?

Answers

$0.09 will he have left after buying the greatest number of sunglasses and beach balls.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Model Inequality:  4x + 2.5x ≥  45.

Now, solving for inequality

4x + 2.5x ≥  45.

(4 + 2.5)x ≥ 45

6.5x ≥ 45

x ≥ 45/ 6.5

x≥ 6.92

x≥ 7 (approx)

So, the max price for sunglasses and beach balls = 4(6.92)+ 2.5(6.92)

                                                                                   = $44.91

Thus, the left money is = 45- 44.91 = $ 0.09

Learn more about inequality here:

https://brainly.com/question/30231190

#SPJ2

what is 20 percent of 90?​

Answers

Answer:

18

Step-by-step explanation:

18% hope this helpss

Sonia saw a school play that was 2.15 hours long. How many minutes long was the play?



129.00 minutes


120.15 minutes


27.90 minutes


62.15 minutes

Answers

Answer:

Answer 120.15 minutes long

Step-by-step explanation:

Answer:

129.00m

Step-by-step explanation:

1h=60m

2.15=x

2.15h×60m=1h×x

129m×h=1h×x divided both side by 1h

129m=x

Pls help will give brainlist

Answers

6:4 :) dhshsjwnsnndncncbd
The ratio is 6 basketballs to 4 soccer balls, or generally 6:4

A booth at the farmer’s market has fresh goat cheese in three sizes of containers. The big container is 30 ounces and costs $9.00. The medium container is 15 ounces and costs $4.95. The small container is 8 ounces and costs $2.00. What size is the best buy? Justify your reasoning.

Answers

Answer:

8 ounce

Step-by-step explanation:

The 30 ounce container costs $0.30 per ounce. The 15 ounce container is $0.33 per ounce. The 8 ounce container is $0.25 per ounce. Therefore, the 8 ounce container costs less per each ounce.

Other Questions
Hamilton argued that the federal government should BLANK, including a tax on BLANK This policy exposed BLANK among the American people.1st blank.: Reduce taxes or collect taxes2nd blank: Whiskey or tea or fabrics3rd blank.: strong agreement or great depression or deep divisionsPLEASE ANSWER FAST! ILL GIVE BRAINLIEST AND 35 POINTS Riddle time! Please help! What map would show the Earth's physical feautures? 1Select the correct answer.How does the description of the Monseigneur develop the theme?OA.He serves to help provide comic relief through exaggerated description in the story.OB.He serves to exemplify the tastes of the common people.O C.He serves to exemplify the characteristics of the French aristocratic society of his time.He serves to embody the spirit of the French revolution.OD.ResetNext 4 tons of cement cost $480.00. What is the price per pound? What is the slope of the line that passes through (12, 10) and (11, 15)? In Excerpt from Minuk: Ashes in the Pathway, what is the narrators point of view about the life of an adult in her culture? Use two details from the story to support your response. - What might people gain from having a ruler whose poweris total, or absolute? Which part of the thirteen colonies is represented by cluster A Find the slope and the y-intercept of the graph of the linear equation y=5/4x-7. The slope is ?, and the y-intercept is ?. Omar says that 4a times 4a will get 16a. Explain his mistake. What seismic hazard is a form of structural failure? Helppppppppppppp please PLEASE HELP ME IM TIMED pls answer soon thx 5 The result of photosynthesis as glucose and oxygen A reactants B products C gas exchange D chlorophyll Paraphrase the subject matter of Psalms 16 At the beginning of the year San weighs 57 pounds during the year he loses 4 pound and then grain 9 pound how much does he weigh now A coin collection consists of dimes and nickels. If there are a total of 500 coins valuedat $39. how many dimes are there? Two years ago, Jose bought $750 worth of stock in a cell phone company. Since then the value of his stock has been DECREASING at an average rate of 5 1/4 % per year. How much is the stock worth now?