Which shows an explicit formula for a sequence whose first term is 8 and
whose common difference is 7?

Answers

Answer 1

Answer:

7n + 1

Step-by-step explanation:

the general formula for figuring out the formula of a sequence is a + (n - 1)d, where a = the first term and d = the common difference

The question tells u that the first term is 8 and the common difference is 7

Knowing this, you can substitute those values into the formula and simplify:

a + (n - 1)d

= 8 + (n - 1)*7

= 8 + (7n -7)

= 8 + 7n - 7

= 7n - 7 + 8

= 7n + 1

and there's your explicit formula! hope this helped!


Related Questions

Calculate the stress on the snow when the snowboarder stands on the board.
The snowboarder and snowboard weigh 600 N the snowboard is 140 cm long and 20 cm wide

Answers

Answer:

u uninstalled ♭ that ↓ t sugar rx

Step-by-step explanation:

utajtt kytisau

PLEASE HURRY !Question 7(Multiple Choice Worth 5 points)
(01.04 LC)
Two samples of water, 10 grams and 50 grams, are in separate cups. Which of the following properties is different for the two?
O Boiling point
O Color
O Density
Volume

Answers

Answer:

D. volume

Step-by-step explanation:

It’s not boiling point or color, the answer is density

Plz help due tomorrow

Answers

Answer:

$2.50+$1.25m

Step-by-step explanation:

hope this helps

write a polynomial function in standard form with the given zeros

1. -1, 3, 4

2. -3, 0, 0, 5

3. -2 multiplicity 3

4. (x+3)^2(x+1)​

Answers

Answer:

Step-by-step explanation:

(x+1)(x-3)(x-4) = (x+1)(x²-7x+12) = x³-6x²+5x+12

:::::

(x+3)(x-0)(x-0)(x-5) = (x+3)(x²)(x-5) = (x²-2x-15)x² = x⁴-2x³-15x²

:::::

(x+2)³ = x³ + 3·x²·2 + 3·x·2² + 2³ = x³ + 6x² + 12x + 8

:::::

(x+3)²(x+1) = (x²+6x+9)(x+1) =  x³ + 7x² + 15x + 9

* Indique 4 ejemplos
en los cuales aparezca
un nivel de medicion diferente ​

Answers

Answer:

1. En las competencias de atletismo se miden los kilómetros que se van a correr.

2.Al comprar tela en un almacén te dicen cuántos metros quieres.

3.En la obra los arquitectos y diseñadores miden las distancias que hay entre paredes para poder saber cuánta pintura se les va en la decoración.

4.Al cambiar una puerta tenemos que medir la altura y el ancho del hueco donde va a irinstalada.

The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.

Answers

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x.

The length of a rectangle is 3 times as big as the width. Length = 3x

New width = x + 4

New length = 3x + 4

The new area will be:

a = (3x + 4)(x + 4)

a = 3x² + 12x + 4x + 16

a = 3x² + 16x + 16

Hey everyone! A little help will be needed/appreciated

Answers

Answer:

2 and 1/4

Step-by-step explanation:

-5 1/4 - (-7 1/2)=

Rewrite as

-5.25 + 7.5 =2.25

Answer:

The answer is 2 1/4 because two negatives make a positive

Step-by-step explanation:

-5 1/4-(-7 1/2) or

-5.25+ 7.5=

2.25

rewrite as a fraction= 2 1/4

Hope this helps!

The sum of 6 times a number and 8 times another number is 12. The difference of those numbers is 9. What are the two numbers

Answers

Answer:

(x,y): (6 , -3) or (-30/7 , 33/7)

Step-by-step explanation:

6x + 8y = 12

x = y + 9 or   y = x+ 9

if x = y+9

6*(y+9) + 8y = 12

14y = -42

y = -3 and x = 6

if y = x+9

6x + 8*(x+9) = 12

14x = -60

x = -30/7   and y = 33/7

I need help with this

Answers

Hello! So the first thing you want to do is fix the triangles so they are in the same rotation (you can tell which point goes where by matching the points of Trangle PQR to Triangle STU). Next, it’s a matter of addition and subtraction. You add the two known angle measures (46 and 70) and then subtract it from the total degrees a triangle has (180). You should then get 64 as your answer. Hope this helps :)

The equation y=models the savings.
Money The graph shows a proportional relationship
between a person's total savings in dollars and the
number of weeks they have been saving. Write an
equation that models the savings.
Money
590-
472-
354-
Total Savings (5)
236-
118-
0-
0
8
10
Number of weeks

Answers

Answer:

Step-by-step explanation:

450

To determine what effect the salespeople had on purchases, a department store polled 700 shoppers as to whether or not they had made a purchase and whether or not they were pleased with the service. Of those who had made a purchase, 130 were happy with the service and 119 were not. Of those who had made no purchase, 142 were happy with the service and 309 were not.


Find the probability that a shopper who was happy with the service had made a purchase (round off to the nearest hundredth).

Answers

Answer:

This problem has been solved: ... a department store polled 700 shoppers regarding whether or not they made a purchase and whether or not they were pleased ... Of those who made no purchase, 201 were happy with the service and 215 were not. ... We know that number of event of a purchase and a happy with service is.

Step-by-step explanation:

Plz help!!

If... g(x)=2(x-1)
When does g(x)=12

Answers

When x=7

2(7-1)=2(6)=12

The best answer gets brainiest please help!
Instructions: Convert this problem into y=mx+b form
Question: 3x+y=0

Answers

Answer:

[tex]y=3x[/tex]

Step-by-step explanation:

[tex]Ax+By+C[/tex] ⇒ [tex]y=mx+b[/tex]

[tex]3x+y=0[/tex]

Since there are no coefficients on the [tex]y[/tex], you can convert the equation in one step.

Subtract [tex]3x[/tex] from both sides

[tex]y=3x+0[/tex] [tex]or[/tex] [tex]y=3x[/tex]

plz mark me brainliest. :)

Peggy takes 2.5 hours to deliver 328 magazines. What is the rate per hour she is delivering the magazines

Answers

Answer: 131 magazines per hour

Step-by-step explanation:

Peggy delivered 328 magazines in 2.5 hours.

To find out the rate at which she delivered these magazines, divide the number of magazines by the time taken to deliver them:

= Magazines / Time in hours

= 328 / 2.5

= 131 magazines per hour

The image shown is an object formed from a cylinder and spherical hemisphere. The radius of the base is 7 cm and the height of the cylinder is 10 cm

(π = 22/7). The volume of the object is ....
A. 2258,67 cm3
B. 2618,33 cm3
C. 2926,67 cm3
D. 2977,33 cm3

Answers

Answer:

Volume = 2,258.67 cm³

Step-by-step explanation:

Volume of the object = volume of hemisphere + volume of cylinder

= ⅔πr³ +πr²h

Where,

π = 22/7

r = 7 cm

h = 10 cm

Volume = (⅔*22/7*7³) + (22/7*7²*10)

Volume = 2,258.67 cm³

I really need help pls. Its about 3d shapes

Answers

The image is blurry

Step-by-step explanation:

Answer:

It might be 8 v?

Step-by-step explanation:

A salesman earns $500 a month plus $20 per item sold . How much will he earn if he sells 15 items

Answers

20x+500
20(15)+500
300+500= 800

The ratio x:10 is equilvalent to 9:6. What is the value of x

Answers

Answer: x=20/3=6.67

Step-by-step explanation:

To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.

-----------------------------------------------------------------------------

Given

x:10=9:6

Cross Multiply

9·x=6·10

9x=60

Divide 9 on both sides

9x/9=60/9

x=20/3=6.67

Hope this helps!! :)

Please let me know if you have any questions

A rectangular prism is 3 inches long, 5 inches wide, and has a height of 6 inches. What is its surface area?


63 in 2

90 in 2

120 in 2

126 in 2

Answers

Answer:

D) 126 in²

Step-by-step explanation:

A rectangular prism is 3 inches long, 5 inches wide, and has a height of 6 inches. What is its surface area?

The formula for the surface area of a rectangular prism =

A=2(wl+hl+hw)

Where

W= Width = 5in

H = Height = 6 in

l = Length = 3 in

Surface area =

2(5 × 3 + 6 × 3 + 5 × 6) square inches

2(15 + 18 + 30) square inches

2(63) square inches

= 126 square inches (in²)

Option D is correct

Answer:

126 in 2

Step-by-step explanation:

guys plz help im not good at this

Answers

Answer:

Radius is 3.5 cm

Diameter is 7 cm

Step-by-step explanation:

Radius is half the diameter

They give you the diameter at 7 cm

Then you have to half that to get 3.5 cm as the radius

Answer:

The answers are the diameter is 7 because whatever the line across is it's the diameter and the radios is half of what the diameter is so whatever is half of 7 is your radios.

Step-by-step explanation:

Diameter: 7

Radios: 3.5 or 3 1/2

Urgent please help..

Answers

Answer:

answer would be (1,-1)

Step-by-step explanation:

Dialation means to multiply, so u would multiply the point where D is so in the graph it shows D is on 2, -2 so you would multiply 2 by 1/2 and -2 by 1/2 which would give you (1, -1)

(2,-2) should be correct

Find the volume of the prism. Round your answer to the nearest tenth.

for brainlist

Answers

Answer:

d. V = 668.2 ft³

Step-by-step explanation:

[tex]V = \frac{1}{2}bhl\\V = \frac{1}{2}(8.6)(8.4)(18.5)\\V = 668.2ft^{3}[/tex]

Answer:

[tex]\boxed {\boxed {\sf D. \ V \approx 668.2 \ ft^3}}[/tex]

Step-by-step explanation:

The volume of a triangular prism is found using this formula:

[tex]V=\frac{1}{2} bhl[/tex]

For this prism, the base is 8.6 feet, the height is 8.4 feet, and the length is 18.5 feet.

[tex]b= 8.6 \ ft \\h= 8.4 \ ft \\l= 18.5 \ ft[/tex]

Substitute the values into the formula.

[tex]V= \frac{1}{2} (8.6 \ ft) (8.4 \ ft) ( 18.5 \ ft)[/tex]

Multiply the first two numbers in parentheses.

[tex]V= \frac{1}{2} (72.24 \ ft^2) ( 18.5 \ ft)[/tex]

Multiply again.

[tex]V= \frac{ 1}{2} (1336.44 \ ft^3)[/tex]

Multiply by 1/2 or divide by 2.

[tex]V= 668.22 \ ft^3[/tex]

Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 2 in the tenth place.

[tex]V \approx 668.2 \ ft^3[/tex]

The volume is about 668.2 cubic feet.

Help if your good at math I’ll mark brainliest:)

D.)10units sorry I couldn’t get it in the picture

Answers

Answer:

14

Step-by-step explanation:

-4,-5

2,3

-4-2= -6

-5-3= -8

-6+-8= 14

Answer:

the answer to this question is 10

Step-by-step explanation:

May i have brainliest

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.

A sphere with height h and radius r. A cylinder with height h and radius r.

Which equation gives the volume of the sphere?
V = four-thirds (11) pi
V = two-thirds (11) pi
V = four-thirds (11)
V = two-thirds (11)

Answers

9514 1404 393

Answer:

  V = (2/3)(11)

Step-by-step explanation:

The given cylinder has a height of 2r, so its volume is ...

  V = πr²(2r) = 2πr³

The volume of a sphere is given by ...

  V = 4/3πr³

Then the ratio of the volume of the sphere to the volume of the cylinder is ...

  (4/3πr³)/(2πr³) = (4/3)/2 = 2/3

So, the volume of the sphere is 2/3 times the volume of the cylinder:

  V = (2/3)(11)

Answer:

answer is d

Step-by-step explanation:

hope this helps

Bob and Chris share money in the ratio 2:3
Bob receives £8
Work out how much Chris receives

Answers

Step-by-step explanation:

total ratio is 5

first find the total amount

bob's ratio is 2/5

so 2/5 ×total amount=8 pounds

0.4 ×total amount=8 pounds

total amount=8/0.4=20 pounds

so chris receives: 20-8=12 pounds

The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be the temperature outside of plane 3 miles above ground

Answers

Answer:

-3.6 degrees

Step-by-step explanation:

Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.

3 * 5.2 = 15.6

Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.

12 - 15.6 = -3.6

Finally, we can see that the temperature is -3.6 degrees

303÷(−5) jj.ljl≥hk.;h÷/j

Answers

Answer:

30³÷(−5) = -6y²

Step-by-step explanation:

We need to find the value of the given expression :

30³÷(−5)

It can be written as :

[tex]\dfrac{30xy^3}{(-5xy)}=\dfrac{30}{-5}\times \dfrac{xy^3}{xy}\\\\=-6\times y^2\\\\=-6y^2[/tex]

So, the value of the given expression is [tex]-6y^2[/tex].

the TV Margaret wants cost $270 This week only, the TV is discounted by 25%. Margaret must pay 6% sales price. which saves the most money?
A. Taking the discount first then adding on the sales tax

B. Adding on the sales tax first and then taking the 25% discount

C. Both methods save the same amount of money

Answers

Answer:

C

Step-by-step explanation:

Method A:

270 decrease 25% =

270 × (1 - 25%) = 270 × (1 - 0.25) = 202.5

202.5 increase 6% =

202.5 × (1 + 6%) = 202.5 × (1 + 0.06) = 214.65

Method B:

270 increase 6% =

270 × (1 + 6%) = 270 × (1 + 0.06) = 286.2

286.2 decrease 25% =

286.2 × (1 - 25%) = 286.2 × (1 - 0.25) = 214.65

Write the expanded form of the expression

8(6x - 4)

Answers

Answer:

48x - 32

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

8(6x - 4)

Step 2: Expand

Distribute 8:                    8(6x) + 8(-4)Multiply:                          48x - 32

please help will mark brainlyist

Answers

Answer: 36, 36

Step-by-step explanation:

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