given the following sequences : -17 -25 -33 -41... write an explicit formula and find the 28th term in this sequence

Answers

Answer 1

Answer:

a(n) = -8n -9

a(28)  = -233

Step-by-step explanation:

a(n) = a(1) + (n - 1)d

n is the nth term, a(1) is the first term, d is the common difference.

*d = -25 - (-17) = -8

a(n) = -17 + (n - 1)(-8)

      = -17 + (-8n + 8)

      = -17 - 8n + 8

      = -8n - 9

For the 28th term

a(28) = -8(28) - 9

        = -224 - 9

        = -233


Related Questions

Can someone help me on this plzzz

Answers

Answer:

b=15

How I got it:

32 + (7x4) = 32 + 28 = 60

60 divided by 4 = 15

Checking:

15 - 7 = 8

8 x 4 = 32

32 = 32

You can tell b = 15 is the correct answer.

Find the area of the smaller sector.
brainlest

Answers

Answer:

44.68 m²

Step-by-step explanation:

Area of a sector = θ/360*πr²

Where,

θ = 80°

r = 8 m

Plug in the values into the equation

Area of the sector = 80/360*π*8²

= 44.6804288 ≈ 44.68 m² (nearest hundredth)

Vertical lines have _________ slope.

Answers

Try drawing a vertical line on a graph
The line would be going straight but unmoving
Slope = rate of change

Vertical lines have undefined slope

Please help me i dont understand this

Answers

Answer:

209.3

Step-by-step explanation:

V=πr^2h / 3

 = 3.14 x 25 x 8 /3

  = 209.3

How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.

Answers

Answer: See explanation

Step-by-step explanation:

The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.

The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:

= 3000 - 300

= 2700

PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.

Answers

Given:

Initial cost of living = $44,000

Rate of increase = 5% = 0.05

To find:

The cost of living in 20 years.

Solution:

The exponential growth model is:

[tex]y=a(1+r)^t[/tex]

Where, a is the initial value, r is the growth rate and t is the number of years.

Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get

[tex]y=44000(1+0.05)^{20}[/tex]

[tex]y=44000(1.05)^{20}[/tex]

[tex]y=116745.099026 [/tex]

[tex]y\approx 116745.10 [/tex]

Therefore, the cost of living in 20 years is about $116745.10.

You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7

Answers

Answer:

7/3

Step-by-step explanation:

Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3

Hope I helped!

Brainliest? :o

Keywords: donuts, donut, brother, equation, receive

It’s 7/4 because it’s You AND your 3 brothers

Help please I’ll give brainliest

Answers

X=20 because 28/7 is 4 and 5*4 is 20
x=20 bc 7x4=28 therefor 5x4=20

write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2

Answers

Answer:

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

Given

[tex]m = 2[/tex]

[tex]b = 2[/tex]

Required

Write equation in slope intercept form

An equation in slope intercept form is:

[tex]y = mx + b[/tex]

Substitute values for m and b

[tex]y = 2x + 2[/tex]

write 20.5×10^-5 in standard form. please help​

Answers

Answer:

the answer is 2.05×10^-4

A graph of is shown on the grid.


What are the zeros of f?

Answers

Answer:

no graph is provided, the zeros of f cannot be found without a graph

Step-by-step explanation:

Can y’all help with geo?

Answers

Here's the solution,

figure 1.

by using trigonometry,

=》

[tex] \sin(60) = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{1}{10} [/tex]

=》

[tex]y = 10[/tex]

And,

=》

[tex] \cos(60) = \dfrac{w}{y} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{w}{10} [/tex]

=》

[tex]w = 5[/tex]

So, values are :

y = 10w = 5

figure 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》

[tex] {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} [/tex]

=》

[tex] {w}^{2} + {w}^{2} = 98[/tex]

=》

[tex]2 {w}^{2} = 98[/tex]

=》

[tex] {w}^{2} = 49[/tex]

=》

[tex]w = \sqrt{49} [/tex]

=》

[tex]w = 7[/tex]

and we know, w = y, so their values will be equal to 7 units.

If p=9 and q=30, evaluate the following expression:p−q/3​

Answers

Answer:

-1

Step-by-step explanation:

p = 9

q = 30

p - q/3

9 - 30/3

9 - 10

-1

what power do I need to raise both sides of the following equation to? x^4=81

Answers

Answer:

Rise it to 2

( x ^2 ) ^2 − 9 ^2 = 0

Step-by-step explanation:

What is the arc length of the shaded region of the circle to the newest centimeter?

Answers

l=theta (in radians) x radius
So 28 degrees =7pi/45
Then 7pi/45 x 4 =1.954768762 = 2cm (to nearest cm)

Find x and y
Show all the work

Answers

Answer:

x=27°

y=4 units

Step-by-step explanation:

To find x:

The sum of all the angles in a quadrilateral is 360°. In a rhombus (you know it's a rhombus because it's a quatrilateral where all the sides are congruent), opposite angles are congruent. Because you're given that the measure of ∠T is 127°, you also know that m∠V=127°. You also know that m∠U=m∠S=(2x-1)°.

Using this information, set up an equation.

127+127+(2x-1)+(2x-1)=360

You can just divide both sides by 2 to get:

127+(2x-1)=180

Then, just solve for x.

127+2x-1=180

2x+126=180

2x=54

x=27°

To find y:

All the sides are given to be congruent. That's what the little marks on the sides mean, and that's how we knew it was a rhombus earlier.

So SV=VU=UT=TS

SV=6y-5

VU=3y+7

Since SV=VU:

6y-5=3y+7

Solve for y.

3y=12

y=4

Hope I could help!

I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.

Answers

Answer:

area: 1070

perimeter: 434 units

Step-by-step explanation:

area:

- use pythagoream theorem to find the height, which is gonna be 84

- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)

- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)

perimeter:

just add all the lengths given together.

Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36

Answers

Answer:

D

Step-by-step explanation:

i have no idea what to do, someone pleasehelp.. please just give the straight forward equation and answer. thank you, 33 points to whoever does it

Answers

Answer:

Coordinates (1,6)

Equation x=1

Step-by-step explanation:

Center of highest point is 1 on the x and 6 on the y

Ms. Nelson has 8 pounds of ground beef. She is making burgers that are ¼ pound each.

Answers

Answer:

she will make 32 burger patties.

One way:

8 x 4 = 32

the fraction will get reversed so it turns to 4.

Second way(basically the same as the first way):

8 divided by 1/4 = 8 x 4= 32

You just have to divide 8 by 1/4. The fraction gets reversed in divisions so it turns to 4.

Answer:

ok the answer is...

Step-by-step explanation:

32!!

the reason for this is because 1/4 + 1/4 + 1/4 + 1/4 = 4!

so do that again all over again 8 times and you have your answer.

Hal put $3000 into a savings account that earns 6% interest. After 6 years, what will be the total amount of money in his savings account?

Explain for BRAINLIST.

Answers

Answer:

6000

Step-by-step explanation:

so you have to divide 3000 and 6 to get 500

next you would do  500 times 6 equals = 3000

so now you would plus them and get 6000

now that is your answer

please give me branlyiest


Find the Mean absolute deviation

45, 60,55, 20,15,10,30

Answers

Answer:

The mean is 30

Which expression is equivalent to2(t-4)+1

Answers

Answer:

2t-7

Step-by-step explanation:

2(t-4)+1

2t -8+1

2t - 7

What are the solutions to the quadratic equation 2x2 - 8x-24 = 0?
A. X = -2 and x = 6
B. X=-3 and x = 8
C. X= -6 and x = 4
D. x= -4 and x = 6

Answers

Answer:

it is A . I hope its helpful

Find the slope of the line through each pair of points using the formula.
(17, -19) (4, -15)

Answers

Answer:

-4/13

Step-by-step explanation:

(17 , -19)  ; (4 , -15)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{-15-[-19]}{4-17}\\\\=\frac{-15+19}{4-17}\\\\=\frac{4}{-13}\\\\= \frac{-4}{13}[/tex]

Answer:

- 4 / 13

Step-by-step explanation:

Algebra work is easy :)

good luckkk

Type a digit that makes this sentence true !!!

Answers

Answer:

any number between 83 and 0. [tex]0\leq x\leq 83[/tex]

Step-by-step explanation:

the number 1,548.4484 has the last two digits of 84.

And since the number has to be less than the other number and you can only switch the last two digits in the decimal's place. It has to be less than 84

Hope that helps :)

Answer:

the digit is 4, because that has 4484 but just put 4444

Which category best describes the group of shapes

Answers

Answer:

Parallelograms

Step-by-step explanation:

The area of the rectangle below is 18 square units. What is the width of the rectangle? Write and solve a division equation to find the width of the rectangle.

Answers

Answer:

24/5 or 4 and 4/5

Step-by-step explanation:

3 and 3/4=15/4

18 divided by 15/4=4 and 4/5

4 and 4/5=24/5

24/5 times 15/4=18

Answer:

I agree with the person above but I'm not so sure.

Find the area of the following shapes.

Answers

Area of small rectange = 7 cm × 4 cm = 28 cm sq

Area of bigger rectangle = 4cm×10 cm = 40 cm sq

Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq

total area of polygon = ( 28 + 40 + 12 ) cm sq

area of polygon = 80 cm sq

Mr. Davis is packing a box with books. The box is a rectangular prism with the 2 ft 3 ft 2 ft What is the volume of the box?

Answers

Answer:

12 ft^3

Step-by-step explanation:

Given data

Dimension

Lenght= 2ft

Width= 3ft

Height= 2ft

The expression for the volume is

Volume= L*W*H

Substitute

V= 2*3*2

V= 12 ft^3

Hence the volume of the box is 12 ft^3

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