An arithmetic sequence is given below.
8, 12, 16, 20, .....
write an explicit formula for the nth term an
an = ???
-please help

Answers

Answer 1
>> Answer

________

[tex] \: [/tex]

an = 8 + (n - 1) × 4

an = 8 + 4n - 4

an = 4n + 4

Answer 2

Answer:

[tex]a_{n}[/tex] = 4n + 4

Step-by-step explanation:

The nth term (explicit formula) 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 = 8 and d = a₂ - a₁ = 12 - 8 = 4 , then

[tex]a_{n}[/tex] = 8 +4(n - 1) = 8 + 4n - 4 = 4n + 4


Related Questions

Farmer David has 24 chickens. He gives a quarter of the chickens to Sally and a sixth of the chickens to Patience. How many chickens does he have left? ​

Answers

Answer:

14

Step-by-step explanation:

One fourth is 6 and one with is 4. So 4+6=10.24-10=14.

Answer:

14

Step-by-step explanation:

If you have 24 chickens, a quarter of 24 is 6. Then, a sixth of 24 is 4. 6+4=10. 24-10=14. So, he would have 14 chickens left.

Using the digits 1 to 9 at most one time each fill in the boxes to create an equation that has a negative solution

[]x+[]=[]x+[]

Answers

Answer:

[4]x+[8]=[1×]+2

Step-by-step explanation:

x will be negative now that the more x you have the higher your number will have to be.

The requried, x is negative, the left-hand side of the equation is positive, but the right-hand side is negative, so the equation has a negative solution as x = -3.5.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
One possible solution is,

[1]x + [2] = [3]x + [9]

To see that this equation has a negative solution, we can rearrange it to get:

x + 2 = 3x + 9

x - 3x = 9 - 2
-2x = 7
x = -3.5

Since x is negative, the left-hand side of the equation is positive, but the right-hand side is negative, so the equation has a negative solution.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

To avoid a storm, a passenger-jet pilot descended 0.68 mile in 0.8 minute. What was the plane's average change of altitude per minute?

Answers

Answer:

0.85 m

Step-by-step explanation:

0.68/8=A decent of 0.085 miles per 0.1 minute

So per minute 0.085x10 =0.85, our plane will have a change of 0.85 m in altitude

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1

Answers

Answer:

7x + 2y = 1

Step-by-step explanation:

1. Find the slope of the line.

(y2-y1)/(x2-x1) ---->  (11 - (-3))/((-3) -1) ----> (11+3)/ (-3 -1) ----> 14/-4

*lets simplify into (7/-2)*

2. Write into slope intercept form.

y=mx+b (m is the slope) (b is the y intercept)

y = (7/-2)x + b

We now need to find the value of b, this can be done by plugging in values of x and y, and using algebra to solve.

11 = (7/-2)(-3) + b

11 = 10.5 + b

b = 0.5 or 1/2

slope intercept form y = (7/-2)x + 1/2

Now we convert to standard form: ax+by=c

*In this form we our a term cannot be a fraction nor can it be negative*

1. Get x and y on the same side, and since our x term is negative right now, we can make it positive by adding it on both sides.

(7/2)x + y = 1/2

2. We now want to get rid of the fraction in term a, so we multiply the entire function by two, so the denominator cancels out.

2(7/2)x + 2y = 2(1/2)

Simplify and you get

7x + 2y = 1

Answer:

Step-by-step explanation:

Answer:

The Width of the garden will be 9 feet.

Step-by-step explanation:

Given:

Manny has wood =48 feet

Length of the garden = 15 feet

The equation which can be used  .

We need to find the width of the garden.

Solution :

Now Length of the garden is given we will substitute in the given equation to find the width.

Now Using Subtraction property we will subtract both side by 30 we get;

Now Using Division Property we will divide both side by 2 we get;

Hence the Width of the garden will be 9 feet.

What is 4 devided by 2/3

Answers

Answer:

6

Step-by-step explanation:

add a one as the denominator for the 4 then flip the 2/3 to 3/2 and change the division to multiplication

Think of

KEEP=4

SWITCH=division

FLIP=fraction

HELPP YALL! ILL MARK BRAINIEST!!! LOOK AT PICTURE!!!

Answers

180-108= 172 172 divided by 5 is 14.4 z=14.4
180-67=113 y=113

Answer:

y=113, z= 36

Step-by-step explanation:

because complementary angle to y is isotope with angle 67 degrees so y=113

z=((180-113)+108):5

Please answer this-10 points

Answers

Answer:

A - 142

B - 38

C - 38

D - 142

E - 142

F - 38

G - 38

H - 142

Step-by-step explanation:

It's been a while since I've done these so please don't judge

Answer:

Well this is pretty simple

Parralel lines cut by a transversal.

So we have one measurement of 142 which is a

A and B are supplementary (When added up you get 180 degrees)

So basically to find that you can do this

180-142=38

So B is 38

We can now use vertical angles.

A and D are vertical and vertical angles are congruent (equal)

d is 142

B and c are congruent

B is 38 so C is also 38

Now We find EGHF

Techcinally we can just do what i would do which is draw and x between the vertical angles

So if drawn an ”X” you can see the sam exact pattern as for ABCD

Which in this case E is 142

H is 142

F is 38

G is 38

If done the hard way you can use altenrate/same side (interior exterior)/ Corresponing angles.

So Here’s what you need to know

Alternate interior and exterior are equal

Correspnding angles are equal

Same side are supplementary

Thats all you need to know.

Interior is basically BD and EG

Exterior is AC and FH

Correspnding are basically same sides but one is ont he inside and one is on the outside

Ex:

A and E

B and F

C and G

D and H

Same side is EXACLTY what is sounds like, the same side but everything has to be either interior or exterior

(Interior) B and E

(Interior) D and G

(Exterior) A and F

(Exteiror) C and H

Final answers:

A- 142

B- 38

C- 38

D- 142

E- 142

F- 38

G- 38

H- 142

WIll give brainliest


In an appellate court,


judges could reverse a trial verdict

citizens may have a trial by jury

cases are heard for the first time

juries may listen to new evidence

Answers

I need more context what are you asking for exactly I mean this gives information a bout some of the sixth amendment in the English bill of rights but you aren’t telling me what you want to know what should I be looking for

To encourage interest in bicycle in six companies sponsored a bicycle race each company donated 300 for the how much money was donated for the race

Answers

Answer:

1800 dollars.

Step-by-step explanation:

Each company donated 300 dollars. There were 6 companies. We would need to times 300 by 6 companies. 300 x 6 = 1,800.

if you help me you get brainly

Answers

Answer:

3 ( 917 ) = 3 ( 900 ) + 3 ( 10 ) + 3 ( 7 )

5 ( 209 ) = 5 ( 200 ) + 5 ( 0 ) + 5 ( 9 )

6 ( 347 ) = 6 ( 300 ) + 6 ( 40 ) + 6 ( 7 )

9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )

11 ( 142 ) = 11 ( 100 ) + 11 ( 40 ) + 11 ( 2 )

Step-by-step explanation:

Answer:

Hint(look at the first number in each part and math it with the first number in each answer.) For example, 3(937), the distributive property for that one would be 3(900) + 3(30) + 3(7). Then for 5(209) it would be 5(200) + 5(0) + 5(9), then for 6(342), it would be 6(300) + 6(40) + 6(2). Then for 9(821), it would be 9(800) + 9(20) + 9(1), and for the last one it would be 11(143), it would be 11(140) + 11(40) + 11(3). You basically distribute each amount into different place values.

Step-by-step explanation:

Hope it helps. Mark brainiest if it does!

Pls help me 35 points in total

Answers

Answer:

1. = station A

because 15 gallons = 0.75 discount at B but station A has a 1.50 discount at 15 gallons

Step-by-step explanation:

2. for satation B you have to read the graph

but for station A it is unclear on the graph

a way to work it out is that you know that 10= 1.00 so 12 = 1.2

( divide 12 by 10 )

station B = discount for 12 gallons = 0.6

but Station A = discount for 12 gallons = 1.2

the difference is

1.2 - 0.6 = 0.6 discount

Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of \dfrac{1}{15}
15
1

start fraction, 1, divided by, 15, end fraction of a blanket per day. She has 606060 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways.
Write an inequality to determine the number of days, sss, Darcie can skip crocheting and still meet her goal.

Graph the solution set to this inequality.

Answers

Answer:

s ≤ 15

Step-by-step explanation:

1/15(60 - s) ≥ 3

4 x 15 - s/15 x 15 ≥ 3 x 15

60 - s - 60 ≥ 45 - 60

-s/-1 ≥ -15/-1

s ≤ 15

Please help
I will give 100 points

Answers

Answer:

FGE = 180 - (14 + 78)°

= 88°

so angle GEC = 88°

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 92/4

= 23

Step-by-step explanation:

52,300,000 in scientific rotation

Answers

Answer:

-5.230,0000

Step-by-step explanation:

Your number in decimal form is -52,300,000 . The negative sign remains unchanged. To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point. So, -52,300,000 becomes -5.230,0000

Can someone please help me with this :( Thank u :))

Answers

Answer:

It would be 54/100

Step-by-step explanation:

because the 4 in 5.4 is in the hundreds so its 54/100

pls mark as brainliest

Add the fractions
pls helpppp

Answers

Answer:

C

Step-by-step explanation:

Find the distance between the points (8.5,8.9) and (8.5,2.2).

Answers

Answer:

Distance = 6.7 units

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]d = \sqrt{(8.5-8.5)^{2}+(2.2-8.9)^{2}} = \sqrt{(-6.7)^{2}} = 6.7[/tex]

Note that distance is always positive

How do you turn 3.0035 into a fraction?
explain?

Answers

Answer:

How do you turn 335 into a fraction?

Steps to convert decimal into fraction

Write 3.035 as 3.0351.

3.035 × 10001 × 1000 = 30351000.

607200.

Step-by-step explanation:

Answer:

3 7/2000 or 6007/2000

Step-by-step explanation:

You would keep simplifying the number .0035 which would simply into the 2000 place. Then you would know that 3 is already 6000, so find out .0035 which is 7 our of 6000. It's also like what is .0035 comverted into 3.

Solve for x (and y if necessary) and explain your reasoning

Answers

Answer:

x = -7

Step-by-step explanation:

These angles are supplementary because they're same side interior angles. Supplementary means the 2 angles add up to 180

Equation:

x + 67 + x + 127 = 180

2x + 194 = 180

2x = 180 - 194

2x = -14

x = -14/2

x = -7

Hi how u doin ?

[tex](x + 67) + (x + 127) = 180[/tex]

[tex]x + x + 67 + 127 = 180[/tex]

[tex]2x + 194 = 180[/tex]

Subtract both sides 194

[tex]2x + 194 - 194 = 180 - 194[/tex]

[tex]2x = - 14[/tex]

Divide both sides by 2

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

[tex]x = - 7[/tex]

There it is the God dm x lol ...

Have a great day ❤

100 PTS!!!! The perimeter of a rectangle is 4(4x - 5) inches. the length of the sides of the rectangle are 2 x + 3 inches and 3x + 2 inches. WRITE AND SOLVE an EQUATION to find the length of each side of the rectangle. ( you have to show all work for branliest!!!!! :D)

Answers

Answer:

2 sides are [tex]\frac{33}{13}[/tex] or 2.5

2 sides are [tex]\frac{47}{13}[/tex] or 3.6

Step-by-step explanation:

There must be 2   2x+3s  and 2   3x+2s

The perimeter is the sum of the sides (it has 4 sides)

2(2x+3) + 2(3x+2) = 4(4x-5)

distributive property

2*2x + 2*3

4x+6

other one

2*3x + 2*2

6x+4

perimeter

4*4x + 4*-5

16x-20

together...

(4x+6) + (6x+4) = 16x-20

add like terms

10x+10 = 16x-20

add 20 to both sides

10x+30 = 16x

subtract 10x from both sides

30 = 26x

divide by 26 on both sides

[tex]\frac{30}{26} = x[/tex]

simplify

[tex]\frac{15}{13}[/tex]

Substitute the x value

2 of the sides are 2x+3

so

[tex]2(\frac{15}{13} ) + 3[/tex]

[tex]\frac{30}{13} + \frac{3}{1}[/tex]

[tex]\frac{33}{13}[/tex]

or 2.5

other sides

[tex]3(\frac{15}{13} ) + 2[/tex]

[tex]\frac{45}{13} + \frac{2}{1}[/tex]

[tex]\frac{47}{13}[/tex] or 3.6

That's all I can say for now! Hope this helps and a thank won't hurt! :)

Function g gives the amount of a chemical in a persons body in milligrams t hours since the pain ent took the drug. The equation g(t)=600•(3/5)t.

a. What does the fraction (3/5) mean?

B. What are the domain and range of g?

C. Sketch a graph of g

Answers

The fraction 3/5 means that every hour, the amount of chemical increase by a factor of 3/5.

The domain of the function is (0, ∞) and the range is (600, ∞)

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let g represent the amount of a chemical in a persons body in milligrams t hours since the patient took the drug.

[tex]g(t) = 600(\frac{3}{5} )^t[/tex]

The fraction 3/5 means that every hour, the amount of chemical increase by a factor of 3/5.

The domain of the function is (0, ∞) and the range is (0, 600)

Help asap plsss :33333

Answers

Answer:

C) Square root of 104 in. Is the correct answer  

Step-by-step explanation:

Have a nice day! :-)

Solve, No links.


((2 times 4.54) + (4 times 0.75)) + (3 times 3.23)
Show your work in letters and numbers.

Answers

Answer:

21.77

Step-by-step explanation:

[tex]\left(2\cdot \:4.54\right)+\left(4\cdot \:0.75\right)+\left(3\cdot \:3.23\right)[/tex]

[tex]\mathrm{Remove\:parentheses}: =2\cdot \:4.54+4\cdot \:0.75+3\cdot \:3.23[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:4.54=9.08[/tex] which gives you: [tex]=9.08+4\cdot \:0.75+3\cdot \:3.23[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:0.75=3[/tex] which gives you: [tex]=9.08+3+3\cdot \:3.23[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:3.23=9.69[/tex] which gives you: [tex]=9.08+3+9.69[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:9.08+3+9.69=21.77[/tex] and that gives you [tex]=21.77[/tex]

Have a great day! :D

The answer is 2 times 4.54 is 908 + 4 times 0.75 is 300 + 3 times 3.23 is 969

abdul rahman went to fidh market to buy two typesof fish.cost of one type of fish is 95 dollars per kg and the second type of fish costs 130 dollors per kg. can he buyto kilograms of each with 800 dollors. ​

Answers

Answer:

yes

Step-by-step explanation:

95 muiltplied by 2 is 190

130 multiplied by 2 is 260

190+260 is 450

Please help!! Very important

Answers

Answer:

A

Step-by-step explanation:

the decreasing part is where is line goes downward. So it's A

Mallorie has $12 in her wallet. If this is 20% of her monthly allowance, what is her monthly allowance.​

Answers

Answer:

Her Monthly allowance is 60 dollars

12= 20% of 60

Will give brainliest!

Answers

Answer:

Step-by-step explanation:

25-10=15kgs

15+5=20minutes

1/2*15=7.5hrs

7:05-2:00=5:05pm

f (x) =x^ +6x - 7 st x= 2

Answers

Answer:

Hotdog tatay mo sabog pakyou

Write a point-slope equation and a slope-intercept equation for the line graphed below. (ONLY REAL ANSWERS NO LINKS!!!)

Answers

Answer:

Point-slope equation:  -2 - 1 = m(-2 - 2)

Slope-intercept equation: y = 3/4x -1/2

Answer:

Step-by-step explanation:

How many real roots does the polynomial 2x^3+8x-7 have?

Answers

One.

And you don’t need to calculate them to know that.

First, you know that polynomials of grade three have either one or three real roots. Second, you know that to have three real roots, they have to have a local maximum and a local minimum.

Take the derivative of your polynomial

()′()=23+8−7=62+8 f(x) =2
x
3
+8x−7
f

(x) =6
x
2
+8

Find the possible zeros of the derivative

′()=62+8=0
f

(
x
)
=
6
x
2
+
8
=
0

and see that there are no real zeros of the derivative. So the polynomial has no local maxima or minima, so it has exactly one real zero.

For the same reason every polynomial of the form

3++
a
x
3
+
b
x
+
c

with ,>0
a
,
b
>
0
has exactly one real root

15



2

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