What is the recursive formula for this arithmetic sequence?
-7,-1,5, 11, ...

What Is The Recursive Formula For This Arithmetic Sequence?-7,-1,5, 11, ...

Answers

Answer 1

Answer:

D

Step-by-step explanation:

The recursive formula allows us to find any term in a sequence by adding the common difference d to the previous term.

Here d = - 1 - (- 7) = - 1 + 7 = 6 , then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 ; a₁ = - 7


Related Questions

Hurry hurry hurry please help in 5 mins

Answers

Answer:

nkknknknjobbjojobihgghighigugyghugughuugbhibhi

Step-by-step explanation:

hibbihib

gbuhbuhb

buying hi

hnununnhon

jinonoonno

i need help fast in these questions.

Answers

12. N= 1
15. N= 0.25
18. N= 1/2
21. N=3
( i don’t know the properties tho :/ )

The graphs below have the same shape. What is the equation of the blue graph ?

Answers

Answer:

A   G(x) = (x - 5)²

Step-by-step explanation:

Plug in x = 5 into the given choices

only G(x) = (x - 5)² correctly returns G(5) = 0

use the function below to find f(3)

[tex]f(x) = \frac{1}{3} \times {4}^{x} [/tex]

Answers

Answer:

f(3) = [tex]\frac{64}{3}[/tex]

Step-by-step explanation

f(3) = [tex]\frac{1}{3}[/tex] x [tex]4^{3}[/tex]

f(3) = [tex]\frac{1}{3}[/tex] x 64

f(3) = [tex]\frac{64}{3}[/tex]

Express each ratio as a fraction in simplest form.
5 miles to 35 miles

Answers

Answer:

1 : 7

Step-by-step explanation:

Given

5 miles : 35 miles ( divide both parts by 5 )

= 1 : 7 ← in simplest form

Find m Please and thank you.

Answers

Answer:

43

Step-by-step explanation:

We have to find angle CXY

So,

YE/EX=DY/CX

Therefore XY//CD [Theorem]

Angle D =Angle Y [Corresponding Angles]

Angle E + Angle Y +Angle X=180

Angle X=180-(Angle E + Angle Y)

Angle X=180-(89+48)

Angle X=180-137

Angle X=43

Angle CXY=43 Degree

whats the factor:81x3-3000

Answers

aikskdjjsiwwjjjwjwkkwkwkwkwkwkwkwkwkw

Answer:

3(3x - 10)(9x² + 30x + 100)

Step-by-step explanation:

Given

81x³ - 3000 ← factor out 3 from each term

= 3(27x³ - 1000 )← a difference of cubes which factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

27x³ - 1000

= (3x)³ - 10³

= (3x - 10)((3x)² + (3x)(10) + 10²)

= (3x - 10)(9x² + 30x + 100)

Then

81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form

A total of 937 people attend the play. Admission was $2.00 for adults and $0.75 for students. The totral ticket sales amounted to $1,109. How many students and adults attended the school play? - Applying Linear Systems in the Real World

Answers

Answer:

x = students

y = adults

Linear Systems of Equations :

x + y = 937

0.75x + 2y = 1,109

Step-by-step explanation:

Step 1 : eliminate one of the variables

x + y = 937

0.75x + 2y = 1,109

-2(x + y = 937) = -2x - 2y = -1874

-2x - 2y = -1874

0.75x + 2y = 1109

We can eliminate y since -2y + 2y = 0

Step 2: Find x number of students.

-2x = -1874

+0.75x = 1109

____________

-1.25x = -765

____________ = 612 students attended

     -1.25

937 - 612 = 325 adults

Check Answer :

612 x 0.75 = $459

325 x 2 = $650

$650 + $459 = $1,109

Therefore, there will be 612 students attending and 325 adults.

find the value of 525²-475² using suitable identity​

Answers

Answer to this question:

I think the answer is 3

A candy store held a contest to guess the total number of jelly beans in a jar. All of the jelly beans in the jar were either green or orange. There were 1,872 jelly beans in the jar in total. There were 12 times as many green jelly beans as orange jelly beans. How many green jelly beans were in the jar?

Answers

Answer:

Step-by-step explanation:

Let the number of orange jelly beans be x , as we do not know the exact value of it yet. There are 12 times as many green jelly beans than the orange ones. So , if the number of orange jelly beans is x , the number of green jelly beans will be = 12 times x , which can be written as 12x. Now there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange jbs is x , and the number of green jelly beans is 12x. So if we the green jelly beans and orange jelly beans , it should be 1872.

Now all we need to do is to find x.

We know that ,

x + 12x = 1872

Now we add x and 12x on the left hand side

13x = 1872

Now we divide both sides by 13 to get x. (That includes 1872 as well)

x = 144

Now we have the value of x which is 144

We know that the number of green jelly beans was 12 times x

So the number of green jelly beans in numeric value is : 12 * 144

As x is equal to 144

Ans . : The number of green jelly beans is 1728.

The number of green jelly beans is 1728.

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.

Let the number of orange jelly beans = x ,

So, the number of green jelly beans will be = 12 times x ,

which can be written as,  12x.

Now, there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange is x , and the number of green jelly beans is 12x.

So if we the green jelly beans and orange jelly beans , it should be 1872.

Now, We get;

x + 12x = 1872

13x = 1872

Divide both sides by 13,

x = 144

So, the number of green jelly beans in numeric value is :

⇒ 12 × 144

⇒ 1728

Thus, The number of green jelly beans is 1728.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Find any domain restrictions on the given rational equation:
X/2x+14 + x-4/6 = 3/x^2 + 2x -35. Someone please answer I’m doing summer school not tryna redo math AGAIN

Answers

Answer:

[tex]\dfrac{x}{2 \cdot x + 14} + \dfrac{x - 4}{6} = \dfrac{3}{x^2} + 2\cdot x - 35; Domain \ restriction \ x \neq 0 \ or \ -7[/tex]

Step-by-step explanation:

The given rational equation is presented here as follows;

[tex]\dfrac{x}{2 \cdot x + 14} + \dfrac{x - 4}{6} = \dfrac{3}{x^2} + 2\cdot x - 35[/tex]

A domain restriction are the limits to the ranges of input values (x-values) of a function

The three main types of domain restrictions are the reciprocal function, the log function, and the root function

The form of restriction in the given rational are reciprocal form, which are;

[tex]\dfrac{x}{2 \cdot x + 14}[/tex], and [tex]\dfrac{3}{x^2}[/tex], from which the function is undefined when;

2·x + 14 = 0, therefore when x = -7, or x² = 0, when x = 0

Therefore, the domain restrictions are that the function is defines for all x, except x = -7 and x = 0

The domain restrictions are x ≠ -7 and x ≠ 0.

Answer:

it's -7 and 5

Step-by-step explanation:

used his and got it wrong

Which terms could have a greatest common factor of 5m2n2? (Two options need to be selected)


m5n5

5m4n3

10m4n

15m2n2

24m3n4

Answers

Answer:

There are two terms that could have a greatest common factor of 5m2n2, and those are 5m4n3 and 15m2n2.

The only correct option will be 5m^4n^3 since 5m²n² can go in the expression,

What is the greatest common factor?

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers

From the question, we are to find the equivalent expression that has 5m²n² as a factor

The only correct option will be 5m^4n^3 since 5m²n² can go in the expression,

Learn more on GCF here: https://brainly.com/question/219464

What is the constant variation, k, of the direct variation, y= kx, through (-3,2)

Answers

Answer:

k = -2/3

Step-by-step explanation:

y = kx

plug in the x,y values

2 = k(-3)

divude both sides by-3

-2/3 = k

k = -2/3

The tables represent the functions f(x) and g(x).

A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, f(x), has the entries, negative 5, negative 3, negative 1, 1, 3, 5. A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, g(x), has the entries, negative 13, negative 9, negative 5, negative 1, 3, 7.
Which input value produces the same output value for the two functions?

Answers

Answer:

rtyujn

Step-by-step explanation:

er456y7ujm

anyone know how to do this??

Answers

Answer:

csc²(x)

Step-by-step explanation:

csc(x) = 1/sin(x)

sin²(x) + cos²(x) = 1

=> cos²(x) = 1 - sin²(x)

cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =

= 1 - 2×sin²(x)

=> 2×sin²(x) = 1 - cos(2x)

sin²(x) = 1/2×(1-cos(2x))

=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)

=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =

= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)

This afternoon Greta left school, rode the bus 7/12 of a mile, and then walked 1/3 of a mile to get home. How much farther did Greta ride than walk?

Answers

3/12 of a mile
1/3 x 4 = 4/12
7/12 - 4/12 = 3/12

ILL MARK BRAINLIEST !!!


29.

Select the three statements that are true.


a. -11 > -6


b. -5 > -7


c. -4 > -6


d. -9 > 7


e. 8 < -1


f. -5 < -4

Answers

Answer:

BCF is the correct answer

Answer:

b, c, and f

Step-by-step explanation:

because on the negative scale -5 is closer to 0 than -7, -4 is closer to 0 than -6, and -4 is closer to 0 than -5. So in this case b, c, and f are true because it is greater than. Sorry if I explained it badly, but im pretty sure its b, c, and f.

I need help with number 35 please help

Answers

Answer:

B. shelves × 51

Reason:

sum of all books= 357

sum of shelves= 17

no of shelves × 21

or, 17 × 21= 357

which is the number of books.

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a5 and 9a5.

Answers

Given:

The lengths of legs of a right triangle are [tex]12a^5[/tex] and [tex]9a^5[/tex].

To find:

The perimeter of a right triangle.

Solution:

In a right angle triangle,

[tex]Hypotenuse=\sqrt{Leg_1^2+Leg_2^2}[/tex]

[tex]Hypotenuse=\sqrt{(12a^5)^2+(9a^5)^2}[/tex]

[tex]Hypotenuse=\sqrt{144a^{10}+81a^{10}}[/tex]

[tex]Hypotenuse=\sqrt{225a^{10}}[/tex]

On further simplification, we get

[tex]Hypotenuse=\sqrt{(15a^{5})^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Now, the perimeter of the triangle is the sum of all of its sides.

[tex]Perimeter=Leg_1+Leg_2+Hypotenuse[/tex]

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]

Therefore, the perimeter of the right triangle is [tex]36a^5[/tex].

OPQR is a tetrahedron. Given that the area of its base is 12 m and its height is 4 m, find the , volume of the tetrahedron. ​

Answers

Answer:

[tex]16m^{3}[/tex]

Step-by-step explanation:

The volume of a tetrahedron shape is calculated by first multiplying the base area by 1/3. Then you multiply the product obtained by the height of the tetrahedron. This will give you the volume of the tetrahedron. For example, using the values provided, the volume would be the following...

(12 * 1/3) * 4 = x

4 * 4 = x

16 = x

Finally, we can see that the volume of the tetrahedron is  [tex]16m^{3}[/tex]

What is the following sum?
[/xy)+ s(t/x+y)
o 7(1984
o 7(1024x2)
(8/643)

Answers

Answer:

Option C

Step-by-step explanation:

[tex] \sqrt[5]{x {}^{2} y} (4 + 3) \\ 7 \sqrt[5]{x {}^{2} y} [/tex]

Solve for x when y = 4
2x + 2y = 20

Answers

Answer:

x=6

Step-by-step explanation:

2x + 2y = 20

Let y=4

2x +2(4) = 20

Multiply

2x+8 = 20

Subtract 8 from each side

2x+8-8= 20-8

2x = 12

Divide by  2

2x/2 = 12/2

x = 6

Answer:

[tex]x=6\\[/tex]

Step-by-step explanation:

[tex]2x+2(4)=20[/tex]

[tex]2x+8=20[/tex]

Subtract both sides by 8

[tex]2x=12[/tex]

Divide both sides by 2 to get x alone

[tex]x=6[/tex]

Hope this is helpful

answer the question below please

Answers

Answer:

A

Step-by-step explanation:

because linear modelling can include population change

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y=10+3.5x Shop Dorian used: y=6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? Round to the nearest dollar if necessary. 3 4 14 24

Answers

Answer: 24

Step-by-step explanation:

Since we are given the information that

Shop Shawn used: y=10+3.5x while Shop Dorian used: y=6x.

To solve the question asked, we need to equate both equations together and this will be:

10 + 3.5x = 6x

6x - 3.5x = 10

2.5x = 10

x = 10/2.5

x = 4

Therefore, we can put the value of x into any of the equation to get y. This will be:

y = 6x

y = 6 × 4

y = 24

The amount paid for the rentals is 24

Answer:

D 24

Step-by-step explanation:

What is the volume of a rectangle prism with a height of 6 and base dimensions 5 in and 7 in

Answers

Answer:

210

Step-by-step explanation:

5x7x6

What is the coefficient in the expression 5x2 +3 ?
O
A. 2
O
B. 3
O
C. 5
O
D. x

Answers

Answer:

C:  5

Step-by-step explanation:

Here the variable x shows up specifically only once, with coefficient 5:

5x^2 + 3

This actually represents 5x^2 + 0x + 3.

The coefficient of the explicily-given x-term is 5.  The other coefficients are 0 and 3.

Which graph shows the solution to the system of linear inequalities below?
y2 2x+1
y<-2x-3

Answers

Since there isn't a picture of the graphs, I attached one, of my graph, to this answer.

I'm also assuming (y2 2x+1) is actually (y< 2x+1).

Possible solutions are within the purple section of the attached image.

I hope this is helpful to you.

Graph that represents both the inequality is attached below.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

First, we make the graph,

The border of the inequality y = 2x + 1 has a slope of 2 and a y-intercept of 1. Plotting the y-intercept at (0, 1) and using the slope to determine further points will allow us to draw this line.

For instance, if we move two units up (in the positive y-direction) and one unit to the right (in the positive x-direction), we get the point (1, 3).

The answer to y < 2x + 1 may be represented by connecting these points with a dashed line and darkening the area below the line.

A boundary line for the inequality y -2x - 3 has a slope of -2 and a y-intercept of -3. Plotting the y-intercept at (0, -3) and using the slope to determine further points will allow us to draw this line.

For instance, if we move two units down (in the negative y-direction) and one unit to the right (in the positive x-direction), we get the point (1, -5).

The answer to y < -2x - 3 may be represented by connecting these points with a dashed line and coloring the area below the line.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ7

The table shows marks for 40 students obtained in the test. Use the given information to determine the mode,median and mean of the data probability that a student selected at random will would have obtain a mark greater than 5


Marks. Frequency
1. 3
2. 5
3. 6
4. 9
5. 5
6. 2
7. 6
8. 4

Answers

Answer:

mode=4 cos it occurred 9times

median=11122222333333444444444455555667777778888

=4 and 4= 4

mean= sum fx/sum f

11. Kurtis is a video salesman. On each sale he earns a commission of 12%. One of
his customers bought a TV for $550 and a VCR for $400. How much did he
earn in commission?

Answers

Answer:

114

Step-by-step explanation:

550*12%=66

400*12%=48

48+66=114

due in 30 mins help plssss

Answers

Answer:

x = [tex]7\sqrt{2}[/tex]

Step-by-step explanation:

a is the hypotenuse of the right angled triangle ehereas the other two sides are legs of a right angle triangle .

since the other two sides are equal both should be denoted as x.

now the value of a is given i.e 14 m

using pythagoras theorem,

pythagoras theorem states that sum of square of two smaller sides of a right triangle is equal to the sum of square of hypotenuse. so,

a^2 + b^2 = c^2

x^2 + x^2 = 14^2

2x^2 = 196

x^2 = 196/2

x^2 = 98

x = [tex]\sqrt{98}[/tex]

x = [tex]7\sqrt{2}[/tex]

Answer:

[tex]x=7\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle is a right isosceles triangle. This means that it is a triangle with two congruent sides and a right angle (indicated by the box around one of the angles). One of the properties of a right isosceles triangle is that it follows the following sides-ratio,

[tex]x-x-x\sqrt{2}[/tex]

Where (x) represents the legs (sides adjacent to the right angle of a right triangle) or the congruent sides in this case. ([tex]x\sqrt{2}[/tex]) represents the hypotenuse or the side opposite the right angle. Form a proportion based on the given information and solve for the unknown value (x).

[tex]x=\frac{a}{\sqrt{2}}[/tex]

Substitute,

[tex]x=\frac{14}{\sqrt{2}}[/tex]

Simplify,

[tex]x=\frac{14}{\sqrt{2}}\\\\x=\frac{14*\sqrt{2}}{\sqrt{2}*\sqrt{2}}[/tex]

[tex]x=\frac{14\sqrt{2}}{2}[/tex]

[tex]x=7\sqrt{2}[/tex]

Other Questions
Which sentence from the passage best shows the author's use of deductivereasoning? Need help asap - There is an error in the rate-determining step of the following proposed mechanism.Slow step: CH3(g) + Cl2(g) CH3(g) + HCl(g) and the rate rule is k1 = [CH4][Cl2]Fast step: CH3(g) + Cl2(g) CH3Cl(g) + Cl(g) and the rate rule is k2 = [CH4][Cl2]Overall : CH4(g) + 2Cl2(g) CH3Cl(g) + HCl(g) + Cl(g)Which shows the correct rate-determining step for the mechanism?CH4(g) + 2Cl(g) CH3Cl(g) + HCl(g) + Cl(g)CH4(g) + Cl2(g) CH3(g) + HCl(g) and the rate rule is k1 = [CH4][Cl2]CH4(g) + Cl2(g) CH3Cl(g) + Cl(g) and the rate rule is k2 = [CH4][Cl2]CH3(g) + 2Cl2(g) CH3Cl(g) + Cl(g) and the rate rule is k2 = [CH4][Cl2] PLLLLEEAASEEE HELLPP!!What is the molarity of 150 g C6H12O6 per 0.50 L?A. 300 mol/LB. 75.0 mol/LC. 1.68 mol/LD. 0.833 mol/L What value of x is in the solution set of 9(2x + 1) < 9x - 18? -4-3-2-1 At : a.m. the angle of elevation of the sun for one city is . If the height of a monument is approximately , what is the length of the shadow it will cast at that time? Round to the nearest foot. who determines the price in perfect market? Hello! YES! HERE! T_T What or how should I answer these questions? Can anyone give me an explanation of what I should answer? Also, give an example if u can please. Thanks!! (This is not very hard, because Im Chinese and Im bad on English, I just need a little help :))1. What did I reaffirm about my learning? (I dont get the reaffirm means)2. I showed critical thinking when.(Thinking outside the box) (I dont get critical thinking really well and I have no idea what the thinking outside the box is Someone give me an example and explanation thx) PLEASE HELP!!!15. the image below shows chromosomes in a human celli need answer a, b and c please! Explain how the model of "isolation-contact-change" applies to Japan. Please help me answer this question !! Thank youuu Read the resolution and the affirmative claim.Resolution: Higher education should be available at no cost in the US.Affirmative claim: All students should have access to a free college education. Within the last twenty years, the average cost of college has nearly tripled, making a college degree unobtainable for many.Which piece of evidence would be most effective for the affirmative side?The cost of attending a trade school is about half the cost of attending a traditional college.Students attending college in the US spend an average of nearly $26,000 a year for tuition and fees.A recent survey determined that nearly 63 percent of high school graduates attend college.The government spends over $720 billion to educate students from kindergarten through high school. What is Euclid's fifth postulate?How would you rewrite Euclids fifth postulate so that it would be easier to understand? Explain in details:(i) Deadlock(ii) File manager(iii) Process(iv) Multiprogramming(v) Software Classification(vi) Virtual memory Tell the examiner about your favourite film. which of the following are examples of mechanical erosion/weatheringA. Wind blowing sandB. water flowing over rockC. a plant's roots cracking rockD. none of the aboveE. A & B only The equation x^2+ y^2+ 8x - 12y + 43 = 0 is the equation of a circle. Complete the square to change thisequation to standard form. Find the radius and the coordinates of the center of the circle and then graph thecircle. The outer diameter of a spherical shell is 36 pie cmand its inner diameter is 9 cm. Find the volume of the metal contained the shell.please help will give brainliest Mario sells electronics at Big Box Electronics Store. He is paid a salary of $250 a weekplus 7% commission on his sales.a) Write an equation for the line, in slope/y-intercept form, representing his weeklyearnings, E, where Sis his weekly sales. Put this answer into Blank #1.b) Identify the slope. Put this answer into Blank #2.c) What does the slope represent? Put this answer into Blank #3.c) What does the E-intercept represent? Put this answer into Blank #4.d) What were Mario's sales in the week he earned $530? Put this answer into Blank#5.Blank # 1Blank # 2Blank # 3Blank #4Blank # 5 Kofi and Kojo were given 380 cedis to share, Kojo had 15 cedis more than Kofi. If Kofi's share is x, find an expression for Kojo's share.Hence find how much each received. Change 1/3 to a decimal number (show the working)