Write an equation that describes the nth term of the arithmetic sequence –2, –1.5, –1, –0.5, 0, 0.5, ….

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 0.5n - 2.5

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = a₂ - a₁ = - 1.5 - (- 2) = - 1.5 + 2 = 0.5 , then

[tex]a_{n}[/tex] = - 2 + 0.5(n - 1) = - 2 + 0.5n - 0.5 = 0.5n - 2.5 ← explicit equation


Related Questions

what percent of 180 is 45

Answers

Answer:

81

Step-by-step explanation:

:)

Answer: 25%

Step-by-step explanation: I got it correct.

ya tengo la respuesta pero necesito escribir como ise el problema xf ayudenme.​

Answers

La repuesta es B, yo hice el trabajo para C también y no fue correcto.
la respuesta es B

esto es pq despues de combinar terminos similares de 5a - a - a, tenemos 3a

luego, despues de combinar terminos similares de 4 - 6, tenemos -2

combinado, esto es 3a - 2

What is the logarithmic formula 10000= 625/8*2^t ?

Answers

9514 1404 393

Answer:

     log(128) = t·log(2)

Step-by-step explanation:

You can take logarithms the way the formula is, or you can simplify it first.

As is

  log(10000) = log(625) -log(8) +t·log(2)

__

Simplified

  8·10000/625 = 2^t . . . . . multiply by 8/625

  128 = 2^t

  log(128) = t·log(2)

_____

Solution:

  t = log(128)/log(2) = 7

how to find the domain and range of y=|x| ?​

Answers

D: (-inf, +inf)
R: [0, +inf)

That equation is the parent function of the absolute value function. To find domain, move from left to right. Look at the x-values and where the graph goes. To find range, move from bottom to top and look at the y-values. I recommend using a stick/pencil and moving it along the graph.

Solve the simultaneous equations.
x + 2y = 9
5x – y = – 10

Answers

Answer:

(- 1, 5 )

Step-by-step explanation:

Given the 2 equations

x + 2y = 9 → (1)

5x - y = - 10 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

10x - 2y = - 20 → (3)

Add (1) and (3) term by term to eliminate y

11x + 0 = - 11

11x = - 11 ( divide both sides by 11 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 1 + 2y = 9 ( add 1 to both sides )

2y = 10 ( divide both sides by 2 )

y = 5

solution is (- 1, 5 )

x + 2y = 9 x + 2y = 9

=====》

5x - y = - 10 (×2) 10x - 2y = - 20

+____________

11x + 0 = - 11

11x = - 11

x = - 1

Thus :

- 1 + 2y = 9

Add both sides 1

2y - 1 + 1 = 9 + 1

2y = 10

Divide both sides by 2

2y ÷ 2 = 10 ÷ 2

y = 5

_____________________________

x = - 1 & y = 5

Se dispone de 10 m de alambre para rodear un terreno de forma rectangular.a. ¿Cuánto mide el largo del terreno si de ancho tiene 1 m? ________________________________b. ¿Y si tiene 2 m de ancho? __________________________________

Answers

Yo no see lol it no se

MONEY PRIZE FOR THE FIRST PERSON TO GET THIS RIGHT AT THE END OF THE PROBLEM LIST METHOD OF ONLINE PAYMENT YOU WANT!
Situation: You love to knit sweaters and you want to start a small business to make money from your talent. You want to do the math first to find out how long it will take for you to make a profit. You must pay a fixed fee of $90.00 to start the company up plus $15.00 for each sweater to pay for the yarn. You want to charge $30.00 for each sweater that you sell.

1. Write an equation for the cost of the company
Choose and define your variables in words:
x:
Equation: y:

2. Write an equation for the money made, INCOME (NOT PROFIT ALL INCOME), selling sweaters
Choose and define your variables in words:
x:
Equation: y:

After you have your equations:
-Find the cost and income when you sell 2 sweaters. (You should have two different answers because you had two different equations one for the INCOME and one for the COST!)

Hints: REMEMBER X is your independent variable so look at the independent number or thing about the problem and write it for x: . Also REMEMBER Y is your dependent variable so whatever your x is y will depend on it if X changes Y also changes look at the problem and ask yourself "What has an effect on what? and "What is effected by what?" This will help you answer the problem.

Answers

Answer:

1. y = 90x

x: the amount of companies to start

y: The total amount it will cost.

2. y = 30x

y: the total income

x: the amount of sweaters being sold.

The answer to the last question(I think would be):

cost:  $30

income: $60

as:

equation to find cost = y = -15x

equation to find income = y = 30x

How many times can 64 go into 28 I need the answer!!!

Answers

64 cannot go into 28 if it did it would be a recurring decimal

Answer:

64 can go into 28 0.4375 times. (less than 1 in a nutshell)

Step-by-step explanation:

Find the x and y intercepts

Answers

Answer:

You have 2 points where the graph intersects with the x-axis, x=-1 or x=5.

The graph intersect with the y-axis at y=-2

plz help will mark you as brainliest(plz answer 42 and 43​

Answers

Answer:

41. D, 42. B, 43. A

Step-by-step explanation:

Sides are 120 m, 170 m, 250 m

41.

S is the semi-perimeter and is equal to:

s = (a + b + c)/2 = (120 + 170 + 250)/2 = 270 m

Correct choice is D

42.

The area is easy to calculate using the Heron's formula, since we have all three side lengths known.

Correct choice is B

43.

Perimeter is:

P = a + b + c = 120 + 170 + 250 = 540 m

Correct choice is A

Help pls very hard I can’t do it

Answers

Answer:

2+4f

Step-by-step explanation:

Distribute:

2(1+2f)= 2+4f

Hope this helps! :)

10. A gardener wants to pour a sidewalk around the outside of his 20- by 30-meter garden. The sidewalk will be
1 meter wide. How many square meters of sidewalk will he have?
30 m
20 m
(Hint: Subtract the area of the garden from the total area covered by
both the garden and the sidewalk. A = A, - A)
1m2!
w1m

Answers

Answer:

https://learning-ph.com/math/question7489744

pls check this site

Step-by-step explanation:

Answer:

104 m²

Step-by-step explanation:

There is a 1 m sidewalk around the garden

Then length = 30 + 1 + 1 = 32 m

and width = 20 + 1 + 1 = 22 m

Area = 32 × 22 = 704 m²

Area of garden = 30 × 20 = 600 m²

Area of sidewalk = 704 - 600 = 104 m²

Please help! Geometry


Lines cut by transversal

Answers

Answer:

m<4=40º

Step-by-step explanation:

11x+8=12x-4

-x=-12

x=12

(11•12)+8+x=180

140+x=140

x=40

(216/64) ^2/3 in its simplified form is equal to
(A) 3/2, (B) 9/4, (C) 2/3, (D) 1/2

PLS ANSWER WITH EXPLANATION

Answers

This answer should help.

are they parallel perpendicular or neither.

Answers

Answer:

parallel

Step-by-step explanation:

3. Factor each of the following polynomials using GCF and/or 2 binomials. Show your work. 4 points
A.5x^2 – 2x =
B.x^2 – 12x – 45 =
C.2x^2-x-15
D.9x^2-16​

Answers

Answer:

See below

Step-by-step explanation:

A

5x² – 2x = x(5x - 2)

B

x² – 12x – 45 = x² + 3x - 15x - 45 = x(x + 3) - 15(x + 3) = (x + 3)(x - 15)

C

2x² - x - 15 =  2x² + 5x - 6x - 15 = x(2x + 5) - 3(2x + 5) = (2x + 5)(x - 3)

D

9x² - 16 = (3x)² - 4² = (3x + 4)(3x - 4)​

Given :-

A.5x^2 – 2x = B.x^2 – 12x – 45 = C.2x^2-x-15 D.9x^2-16

To Find :-

Factorised form into two binomials .

Answer :-

A) 5x² - 2x

= x ( 5x -2 )

B) x² - 12x -45

= x² -15x + 3x -45

= x(x -15) +3( x -15)

= (x-15) ( x +3)

C) 2x² - x -15

= 2x² +5x - 6x -15

= x(2x +5) -3(2x +5)

= (x-3)(2x+5)

D) 9x² -16

=(3x)² -4²

= (3x+4)(3x-4) [using a²-b² = (a+b)(a-b) ]

Match each diagram with a description and an equation

Answers

Answer:

match each is in moon description and diagram

Answer: Uhh I dont see a diagram but maybe its my end.

Step-by-step explanation: PS. it might be my chromebook

an outdoor and camping store pays a wholesale price of $25.85 for a fishing rod and sells it for $31.02 what is the precent markup

Write your answer

Answers

Answer:

30%

Step-by-step explanation:

geometry, proving vertical angels are congruent

Answers

The answer is 85 I got it right :)

At the speeds shown in the table, how much farther could a black-tailed jackrabbit
run than a desert cottontail in 7 seconds?
Running Speeds
Animal
Speed
(feet per second)
Black-tailed
Jackrabbit
51
Desert
Cottontail
28
feet farther than a desert cottontail in 7
A black-tailed jackrabbit could run
seconds.

Answers

Answer:

animal

gkofb

jgfui

jffn

Please explain how to solve this!

9/11 Divided by 3/2

Answers

Given

[tex] \frac{9}{11} \div \frac{3}{2} [/tex]

Solution

[tex]= \frac{9}{11} \times \frac{2}{3} \: \: \: \: \: \: \fbox{ gets \: reciprocal} \\ \\ = \frac{ \cancel9}{11} \times \frac{2}{ \cancel3} \\ \\ = \frac{3}{11} \times \frac{2}{1} \\ \\ = \frac{6}{11} [/tex]

[tex] \fbox \red{Hope This Helps}[/tex]

I really need help please

Answers

Answer:

p<-12/5

Step-by-step explanation:

Answer:

Multiply each term in [tex]-\frac{5}{6}p > 2[/tex] by [tex]-\frac{6}{5}[/tex] to eliminate the fractions.

Inequality form:

[tex]p < \frac{-12}{5}[/tex]

Interval Notation:

(-∞, [tex]-\frac{12}{5}[/tex] )

#3 find value of x


Answer only math

Answers

Answer:

x=130º

Step-by-step explanation:

90+40+50=180

180-50=130

If the quantity changes by a factor of 0.125 every year, by what factor does it change every 4 months?

a) (0.125)^1/4
b) (0.125)(1/4)
c) 0.375
d) 0.5

Answers

Answer:

Either d or b

Step-by-step explanation:

pls give brainliest

2x + y 2 = 10; (3, 2) tell weather the ordered pair is a soultion to the eqaution.

Answers

Answer:

X=- 1

y=- 5

Step-by-step explanation:

X=- 1

y=- 5

Write the given equation in standard form.
−7x−5y=3

Answers

Answer:

7x+5y=-3

Step-by-step explanation:

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

Answers

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: [tex](\frac{-12}{3}) ^{3}[/tex]

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

The parentheses are important so you cube the negative sign as well!

3³ = 27

-1728 / 27 = -62

                           [tex](\frac{-12}{3}) ^{3}[/tex] simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1[tex]\frac{2}{3}[/tex])³

Answer: -[tex]\frac{125}{27}[/tex]

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get [tex]-\frac{5}{3}[/tex]

To cube it we must do:

([tex]-\frac{5}{3}[/tex])([tex]-\frac{5}{3}[/tex])([tex]-\frac{5}{3}[/tex])

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

                           (-1[tex]\frac{2}{3}[/tex])³ simplifed is -[tex]\frac{125}{27}[/tex]

what is the value of X

Answers

Answer:

58

Step-by-step explanation:

180-122=58

WILL MARK BRAINLIEST!!!
Which statements about triangle JKL are true? Select two options.


A. M is the midpoint of line segment KJ.

B. N is the midpoint of line segment JL.

C. MN = 1/2 KJ

D. MN = 4.4m

E. MN = ML

It's B and C just did the test and got a 100

Answers

Answer:

b and c

Step-by-step explanation:

B AND C

-54/50 - 40/100 + 1.65=

Answers

Answer:

0.17

Step-by-step explanation:

1) Simplify 54/50 to 27/25

-27/25-40/100+1.65

2) Simplify 40/100 to 2/5

-27/25-2.5+1.65

3) Simplify

4.25/25

4) Simplify

0.17

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