Find the nth term for 3,8,13,18

Answers

Answer 1

Answer:

5n - 2

Step-by-step explanation:

3 + x = 8

8 - 3 = 5

5 = x

3 (first term) - 5 = -2

5n - 2

Answer 2

Answer:

nth term = 5n - 2

Step-by-step explanation:

The given sequence is 3, 8, 13, 18.

To find the nth term, we have to find the algebraic expression.

Algebraic expression = dn + b'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.

So, d = 8 - 3

    d = 5

b = first term - common difference

b = 3 - 5

b = (-2)

Algebraic expression or the nth term =

5n + (-2)

5n - 2.

Thus, the nth term equals to 5n-2!


Related Questions

Write two solutions for the following equation 2x+3y=24.

Answers

Answer: (12, 0) and (0, 8)

Step-by-step explanation:

This equation is in standard form. We can sub in a number for x to solve for y and vice versa.

Let's sub in 0 for x.

[tex]2x+3y=24\\2(0)+3y=24\\3y=24\\\frac{3y}{3} =\frac{24}{3} \\y=8[/tex]

When x is 0 y is 8 giving us the coordinate (0, 8).

Now lets sub in 0 for y

[tex]2x+3(0)=24\\2x=24\\\frac{2x}{2} =\frac{24}{2} \\x=12[/tex]

When y is 0 x is 12 giving us the coordinate (12, 0)

Step-by-step explanation:

Begin by solving for y

3y = -2x + 24 divide by 3

y =-(2/3)x + 24

Choose x so that it is divisible by 3

Let x = 6 which 3 can divide into evenly

y = -(2/3)*6 + 24 3 into 6 is 2 so you are left with

y = - 2 * 2 + 24

y = - 4 +24

y = 20

By a similar mthed, let x = 15

y = -2/3 x + 24

y = -2/3 * 15 +24

y = -2 * 5 + 24

y = -10 + 24

y = 14

So your two solutions are

(6,20)

(15,14)

Whats the last info I need?

Answers

Answer:

Step-by-step explanation:

Properties of the similarity of two triangles,

1). Corresponding angles of two triangles should be equal.

2). Corresponding sides of two triangles should be proportional.

By applying second property in the given triangles RTY and CVB,

[tex]\frac{CV}{RT}=\frac{TY}{VB}=\frac{CB}{RY}[/tex]

[tex]\frac{15}{10}= \frac{9}{6}= \frac{CB}{RY}[/tex]

[tex]1.5= 1.5= \frac{CB}{RY}[/tex]

Ratio of sides CB and RY should be 1.5 for the similarity of two triangles.

Therefore, additional information required for the similarity of two triangles is "the measure of third sides of both the triangles should be known"

Math






Help







Will



Give



Brainlist



:))

Answers

Answer:

2/3 mi

Step-by-step explanation:

Multiply the length of one side of a square by 4 to find the perimeter.

(1/6)(4) = 4/6

Simplify. The common factor is 2.

4/6 = 2/3

The television show September Road has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to September Road. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a September Road broadcast. Find the probability that none of the households are tuned to September Road. P(none)

Answers

Answer:

[tex]P(none) = 0.0859[/tex]

Step-by-step explanation:

Given

[tex]p =20\%[/tex] --- proportion of household that tuned to September

[tex]n =11[/tex] --- selected households

Required

[tex]P(none)[/tex]

Using the complement rule, the proportion that did not tune (q) is:

[tex]q= 1 - p[/tex]

[tex]q= 1 - 20\%[/tex]

[tex]q= 1 - 0.20[/tex]

[tex]q= 0.80[/tex]

So, the probability that none of the 11 tuned in is:

[tex]P(none) = q^{11}[/tex]

[tex]P(none) = 0.80^{11}[/tex]

[tex]P(none) = 0.0859[/tex]

X 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified? x3 + 5x2 + 5x – 2 x3 + 2x2 + 8x – 2 x3 + 11x2 – 2 x3 + 10x2 – 2

Answers

Answer:

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]

Step-by-step explanation:

Given

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]

Required

The equivalent expression

We have:

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]

Open bracket

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 + 6x^2 - 2x + 2x^2 + 12x -4[/tex]

Collect like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 + 3x^4- 2x^3 -x^3 + 18x^3 - 6x^2 + 6x^2 + 2x^2- 2x + 12x -4[/tex]

Evaluate like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]

What is the value of b2 - 4ac for the following equation? 2x2 - 2x - 1 = 0 -4 12 0

Answers

Answer:

I think you mean the equation is

[tex]2 {x}^{2} - 2x - 1 = 0[/tex]

And you must find

[tex]delta = {b}^{2} - 4ac = 4 + 8 = 12[/tex]

if £2000 is placed into a bank account that pays 3% interest compound into how much will be in the account after 2 years?

Answers

Answer: The answer is £2121.8.

You can check this formula....

Bryan and Ryan are buying a car that costs £15000.
Bryan pays a deposit of £2000
Ryan pays a deposit that is 40% more than Bryan’s deposit.
Work out the percentage of the total cost that is left to pay?

Answers

Answer:

68%

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

calculate the two deposits add them and take them away from the total. find the percentage of the remaining.

Aaron has a combination of nickels, dimes, and quarters in his pocket. Aaron's collection of coins is represented in the matrix below.
1
1
1
14
2 0 -1 0
.05 10 252.15
Which of the following is NOT a correct verbal interpretation of one of the equations in the system?
O Aaron has twice as many quarters as nickels.
O Aaron has no nickels.
O Aaron has a total of 14 coins.
The total value of the coins is $2.15.
6
7
8
8
9
10

Answers

Answer:

Aaron has no nickels

Step-by-step explanation:

eg

What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 1 4 -1
4 -1 -2 -6 3-5
-8

Answers

Answer: if its decimal and it wants you to round to next place to the tenths place

Step-by-step explanation: if it means to look at the hundredth's place to find your answer  if its bigger than five your second number will add up if its lower than five it stays the same

What quadratic equation could be solved to find any solutions to the system of equations?
y = -51 +6
y = 12 + 71 - 11
Replace the values of a, b, and in the equation to formulate the correct equation.

Answers

Answer:

Step-by-step explanation:

x²+7x-11=-5x+6

x²+7x+5x-11-6=0

x²+12x-17=0

[tex]x=\frac{-12\pm \sqrt{12^2-4*1*(-17)} }{2*1} \\=\frac{-12 \pm \sqrt{144+68} }{2} \\=\frac{-12 \pm \sqrt{212}}{2} \\=\frac{-12+2\sqrt{53}}{2}\\=-6 \pm \sqrt{53}[/tex]

What is 1/3 divided into 7 equal parts



Please help I made another one but I said I why on accident

Answers

Answer:

1/21

Step-by-step explanation:

1/3 / 7 = 1/3 / 7/1 = 1/3 * 1/7 = 1/21

Answer:

21

Step-by-step explanation:

1/3 x 7/1 you flip the 7 and you will have 1/3x1/7 and then u 7x3 and u will get 21

Evaluate e^4 to one decimal place

Answers

Answer:

The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6

Divide. Express your answer in simplest form.

10/11 ÷ 2/3​

Answers

Answer:

[tex]1\frac{4}{11}[/tex]

Step-by-step explanation:

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \frac{15}{11} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺[tex] \frac{10}{11} \div \frac{2}{3} [/tex]

➺[tex] \: \frac{10}{11} \times \frac{3}{2} [/tex]

➺[tex] \: \frac{10 \times 3}{11 \times 2} [/tex]

➺[tex] \: \frac{30}{22} [/tex]

➺[tex] \: \frac{15}{11} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Which is the graph of linear inequality 2y > x-2?

Answers

Answer:

top line third option with shaded above.

Step-by-step explanation:

it's the third option because it's a

dotted line because it's not included (since it doesn't say greater than or equal to). Also, greater than is shaded above the line.

The third graph is the correct representation of the given inequality.

What are linear inequalities?

Linear inequalities are defined as a mathematical expression that compares two expressions using the inequality symbol.

The given inequality is 2y > x-2.

i.e y > (x-2)/2

Since the inequality sign does not contain an equals sign,  the line is drawn as a dashed line.

The upper region satisfies the inequality.

Hence, the upper shaded portion with the dashed line is the correct graph for the given inequality.

To learn more about linear inequality, use the link given below:

https://brainly.com/question/11897796

#SPJ2

Graph the equations y=x-2 and x + y = 6 on the grid provided.

Find the point of intersection.

(I can do the graphing part, I just need the formula for each of the equations...)

Answers

Formulas:

y=x-2

y=-1x+6

You'll basically just graph these which you said you can do, and if you don't want to, just input these formulas in Desmos Graphing Calculator, and the point that they intersect is your answer for the point of intersection

Susan buys the items listed below at a grocery store. 2 packages of chicken priced at $13.26 per package 1/2 pound of broccoli priced at $ 1.88 per pound 1 gallon of milk priced at $3.49 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $ 0.05 in change. What amount of money does Susan use to pay for the items?

Answers

Answer: $31.00

Step-by-step explanation:

The cost of the items bought will be:

2 packages of chicken priced at $13.26 per package = 2 × $13.26 = $26.52

1/2 pound of broccoli priced at $ 1.88 per pound = 1/2 × $1.88 = $0.94

1 gallon of milk priced at $3.49 per gallons = 1 × $3.49 = $3.49

Since Susan pays for the items and receives $ 0.05 in change, the the amount of money that Susan use to pay for the items will be:

= $26.52 + $0.94 + $3.49 + $0.05

= $31.00

The amount Susan uses in paying is $31.00.

The total cost of Anfä's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup:
cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and
value of x, the cost of each cavity filling?

Answers

Answer:

The cost of each cavity filling was $ 134.60.

Step-by-step explanation:

Given that the total cost of Anfa's trip to the dentist was $ 628.35, and she paid a flat fee of $ 89.95 which included the checkup: cleaning and then had 4 cavities filled, each of which cost the same amount, to determine which shows the correct equation and value of x, the cost of each cavity filling, the following calculation must be performed:

(628.35 - 89.95) / 4 = X

538.4 / 4 = X

134.6 = X

Therefore, the cost of each cavity filling was $ 134.60.

Help Please with these​

Answers

Problem 17

Focus on one of the triangles. It has legs of 8 and 15. Use the pythagorean theorem to find the hypotenuse is 17.

Basically you're solving for c in a^2+b^2 = c^2. Use a = 8 and b = 15.

The diameter is 17 and the circumference is

C = pi*d = pi*17 = 17pi

Answer: 17pi

==============================================

Problem 18

This figure has four faces, so this is a tetrahedron. The "tetra" is greek that translates to "four".

Another possible name for this figure is triangular pyramid because we have a pyramid with a triangular base.

Answer: Triangular pyramid or tetrahedron

Is the following shape a square? How do you know? A. Yes, the opposite sides are parallel, and all sides are the same length. B. No, because opposite sides are not parallel. C. There is not enough information to determine. D. No, because the sides are not congruent.​

Answers

Answer:

A

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

No, because the sides are not congruent.

Which expression is equivalent to x2 - 17x - 60?​

Answers

Answer:

(x-20) (x+3)

Step-by-step explanation:

x^2 - 17x - 60

What two numbers multiply to -60 and add to -17

-20 * 3 = -60

-20 +3 = -17

(x-20) (x+3)

Answer:

option A is correct

Step-by-step explanation:

x^2 - 17 - 60

using middle term break method

x^2 - (20 - 3)x - 60

x^2 - 20x + 3x - 60

x(x - 20) + 3(x - 20)

(x + 3)(x - 20)

what is the answer to 0.7(1.5 + y) = 3.5y - 1.47

Answers

Answer:

0.9

Step-by-step explanation:

0.7*(1.5 + y) = 3.5y - 1.47

or, (0.7*1.5) + 0.7y = 3.5y - 1.47

or, 1.05 + 1.47 = 3.5y - 0.7y

or, 2.52 = 2.8y

or, y = 2.52/2.8

or, y = 0.9

Hope this will help. Please mark me brainliest.

The probability that a student takes calculus or is on scholarship is 0.85. The probability that a student is on scholarship is 0.61 and the probability that a student is taking calculus is 0.31. If a student is randomly chosen, find the probability that the student is taking calculus and is on scholarship.

Answers

Answer:

0.07

Step-by-step explanation:

According to the Question,

Let C denote the event that a student takes calculus & S denote the event that a student is on scholarship.

Given, The probability that a student takes calculus or is on scholarship is 0.85 [P(C ∪ S)=0.85] . The probability that a student is on scholarship is 0.61 [P(S)=0.61] . and the probability that a student is taking calculus is 0.31 [P(C)=0.31] .

We have,

⇒P(C ∪ S)=0.85 , P(C)=0.31 , P(S)=0.61

We Know, P(C∩S) = P(C) + P(S) − P(C∪S)

Then, Put the Above Values in the Equation, we get

So, P(C∩S) = 0.31 + 0.61 - 0.85 ⇒ 0.07

Thus, The probability that the student is taking calculus and is on scholarship is 0.07

What are the vertices of triangle PQR?

Answers

Answer: D. P, Q and R.

Step-by-step explanation:

The vertices of the triangle PQR - it is P, Q and R.

Does someone know what the answer is? Help, please!

Answers

Answer:

if I'm not wrong it should be A

If JK = 4, KL = 3x, and JL = 7x, what is JL? Simplify your answer and write it as a proper fraction, mixed number, or integer.​

Answers

Answer:

JL = 7

Step-by-step explanation:

If JK = 4, KL = 3x, and JL = 7x, what is JL? ​

From the diagram given in tbe question,

JK + KL = JL

4 + 3x = 7x

Collect like terms

4 = 7x - 3x

4 = 4x

4x = 4

x = 4/4

x = 1

Since JL from the diagram = 7x

Hence:

7 × 1 = 7

JL = 7

Witch two ratios represent quantity's that are pro proportional?

9/5 and 19/10
4/6 and 10/16
25/35 and 20/24
15/10 and 21/14

Answers

Answer:

15/10 and 21/14

Step-by-step explanation:

Simplify:

9/5 and 19/10

Simplified; not proportional.

Simplify:

4/6 and 10/16

2/3 and 5/8

Simplified; not proportional.

Simplify:

25/35 and 20/24

5/7 and 5/6

Simplified; not proportional.

Simplify:

15/10 and 21/14

3/2 and 3/2

Simplified; proportional.

need help with this asap!

Answers

Answer:

Step-by-step explanation:

1 )  2 + 7t                        [ there are no like terms , so no further simplifying ]

2) 6r + ( - 16 r )

   =  6 r - 16 r                 [ both are like terms ]

   = - 10 r

3) (3x + 2 ) + ( 2x - 4 )

   = 3x + 2 + 2x - 4

   = 3x + 2x - 4 + 2               [ arranging like terms together ]

   = 5x - 2

4) (8 n² - 3 n + 6 ) + ( n - 2 )

   = 8n² - 3n  + 6 + n - 2

   = 8n² - 3n + n + 6 - 2             [ bringing like terms together ]

   = 8n² - 2n + 4

Answer:

1.) 2 + 7 t

2.) - 10 r

3.) 5 x - 2

4.) 8 n² - 2 n + 4

Step-by-step explanation:

1.) 2 + 7 t

No like terms, so no further simplifying.

2.) 6 r + ( - 16 r )

6 r - 16 r. ... ( combine like terms)

- 10 r

3.) ( 3 x + 2 ) + ( 2 x - 4 )

= 3 x + 2 + 2 x - 4

combine like terms

= 3 x + 2 x - 4 + 2

= 5 x - 2

4.) ( 8 n ² - 3 n + 6 ) + ( n - 2 )

= 8 n² - 3 n + 6 + n - 2

combine like terms

= 8n² - 3 n + n + 6 - 2

= 8 n² - 2 n + 4.

The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months

Answers

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Given the equation:

C = 40n + 210

Where C is the cost of a phone plan for n number of months.

After 2 months; C = 40(2) + 210 = 290

After 12 months; C = 40(12) + 210 = 690

After 24 months; C = 40(24) + 210 = 1170

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

Find out more on linear equation at: https://brainly.com/question/14323743

12. In the diagram below…
What is the length of CB?
1) 3.2
2) 4.8
3) 16.2
4) 19.2

Answers

It is number 3 why beacseu if u don’t have the length them u can’t do the equation
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