what is the common difference in the sequence (-3, 2, 7, 12, ...)

Answers

Answer 1

Answer:

an=a1+d(n−1) a n = a 1 + d ( n - 1 )

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding −5 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .


Related Questions

Given a circle with a circumference of 30pi inches, solve for the exact area of a sector in terms of pi, whose central angle is one-fifth of the measure of the
circle.

Answers

30 pi inches divided by the one fifth angle is gonna be 6

Difference between a multiple choice and Multiple response

Answers

Answer:

Multiple choice means you get the more than one option and one of those options are correct while the rest are incorrect Multiple response means that you have to add more then one response to answer the question

Answer: multiple choice is when you have to pick one or more answers and Multiple response is one or more sentences

Step-by-step explanation:

Please help I don’t understand this

Answers

The closed circle means the inequality is greater than or equal to (≥) or less than or equal to (≤)
An open circle means the inequality is greater than (>) or less than (<)

Since the arrow is pointing to the left towards increasingly lesser numbers, any “x” value will be at the beginning number of 2 or some value less than 2.
Answer: x≤2

please help me answer these 2 questions, worth lots of points

Answers

For the first one, to find x, you are going to take that entire side which would equal to 180 and solve. 2x+20+55=180 would then go down to 2x+65=180 once you add the 20 and 55. Then subtract 65 to both sides and divide your final answer 115/2 which is x=57.5. For the second one it’s 4x-2+21=180, then you will subtract 2 from 21 and get 19. After you would subtract 19 by 180 and divide 4 by each side, getting x=40.25 as your final answer.

amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.

a 350
b 130
c 900
d 630

Answers

Answer:

He gets 630 dollars a week so the answer is D.

8y - (5y + 13 ) = -7​

Answers

Answer:

y=2

Step-by-step explanation:

8y-5y-13=-7

3y-13=7

3y=-7+13

3y=6 /3

y=2

HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD

Answers

I think that the answer is A.

Julio is ordering books from BestBooks for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order.

Answers

Answer:

Shipping Fee = $ 6

Step-by-step explanation:

The complete question and the table is as follows :

Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.

To find - How much is the shipping fee?

Proof -

We know that,

Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee

Let us Assume that,

Cost of 1 book = x

Shipping Fee = y

So,

From the table, we get

21 = 5x + y               ..........(1)

36 = 10x + y              ..........(2)

51 = 15x + y               ..........(3)

66 = 20x + y             ..........(4)

From equation (1), we get

y = 21 - 5x

Put the value of y in equation (2), we get

36 = 10x + 21 - 5x

⇒36 = 5x + 21

⇒5x = 36 - 21

⇒5x = 15

⇒x = [tex]\frac{15}{5}[/tex] = 3

∴ we get

x = 3

Put the value of x , we get

y = 21 - 5(3)

  = 21 - 15

  = 6

⇒y = 6

SO, we get

x = 3

y = 6

Verify the 4 Equations :

21 = 5x + y               ..........(1)

21 = 5(3) + 6

    = 15 + 6

    = 21

⇒21 = 21

Verified

36 = 10x + y              ..........(2)

36 = 10(3) + 6

     = 30 + 6

     = 36

⇒36 = 36

Verified

51 = 15x + y               ..........(3)

51 = 15(3) + 6

    = 45 + 6

    = 51

⇒51 = 51

Verified

66 = 20x + y             ..........(4)

66 = 20(3) + 6

     = 60 + 6

     = 66

⇒66 = 66

Verified

So, we get

Cost of 1 book = x = $ 3

Shipping Fee = y = $ 6

If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?

Answers

Answer:

A = $3,526.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = [tex]\frac{R}{100}[/tex]

r = [tex]\frac{3.5}{100}[/tex]

r = 0.035 rate per year,

Then solve the equation for A

A = P(1 + [tex]\frac{r}{n}[/tex])nt

A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)

A = 2,500.00(1 + 0.035)(10)

A = $3,526.50

Hence:

The total amount of over 10 years is $3,526.50.

The Statistical Abstract of the United States (109th edition) reported that the mean age of all U.S. registered merchant vessels is 23.6 years. Records for 38 randomly selected U.S. registered grain cargo ships showed that the mean age was 26.7 years with a standard deviation of 5.2 years. Is this type of ship older than the national average of all merchant vessels

Answers

Answer:

Yes, we can conclude that the ship is older than the national average

Step-by-step explanation:

Population mean, μ = 23.6

Sample mean, xbar = 26.7

Sample size, n = 38

H0 : μ = 23.6

H0 : μ > 23.6

The test statistic :

(xbar - μ) ÷ (σ/√(n))

(26.7 - 23.6) ÷ (5.2/√(38))

3.1 / 0.8435513

Test statistic = 3.675

Decision region :

Reject H0 ; if |Tstatistic| > |Tcritical|

Since we are given the sample standard deviation ; we use the T test distribution

df = 38 - 1 = 37

Tcritical at df = 37 ; α = 0.05 ; rigth tailed :

Tcritical(0.05, 37) = 1.687

3.675 > 1.687 ; Hence, we reject H0 and conclude that there is enough evidence that this type of shop is older than the national average.

-3, 7 THOSE NUMBERS CUT OFF





WILL GIVE BRAINLIST

Answers

Answer: +3

Step-by-step explanation:

5 + (-2) ( + × - = - )  ∴ 5 - 2 = 3

Noah has 19 bacon pancakes on his plate, and Mackenzie has x less bacon pancakes than Noah. Choose the expression that show how many bacon pancakes Mackenzie has.​

Answers

Answer:

19-x

the expression that show how many bacon pancakes Mackenzie is 19 - x

The first 5 terms in a pattern are
shown below.
25 13 27
-6,-4' 2' 4-7
If the pattern continues, which
equatior. could be used to find the nth
term?

Answers

Answer:

Option B. m(n) = –5.75 –¼n

Step-by-step explanation:

The sequence is given below:

–6, –25/4, –13/2, –27/4, –7

Next, we shall determine the common difference.

Common difference (d) = 2nd – First

2nd term = –25/4

First term = –6

d = –25/4 – – 6

d = –25/4 + 6

d = –6.25 + 6

d = –0.25 = –¼

Finally, we shall determine the nth term

Tₙ = a + (n –1)d

First term (a) = –6

Common difference (d) = –¼

Tₙ = a + (n –1)d

Tₙ = –6 + (n –1)–¼

Tₙ = –6 –¼n + ¼

Tₙ = –6 + ¼ –¼n

Tₙ = –6 + 0.25 –¼n

Tₙ = –5.75 –¼n

Thus, the nth term is given by:

m(n) = –5.75 –¼n

komplike türkçe karşılığı

Answers

Answer:

football is better

Step-by-step explanation:

football is better

Cevap: Yapılması zor olan

ẞaşarılar dilerim

1 km = ? cm
????? Pls help plsssssss

Answers

Answer:

1 km = 100000 cm

pls, be honest. 20 points

Answers

Answer:

it is 5.7 so it should be in between the 5 and 6 but closer to the 6.

Step-by-step explanation:

Hope this helps have a great day! :)

Answer: 5.7

Step-by-step explanation:

Because it’s closer to six but still In the 5 range.

Find the y-intercept and the axis of symmetry of f(x) = ax2 – 6ax +2.
The y-intercept is
and the axis of symmetry is x=

Answers

The axis of symmetry is x=3, and the y-intercept is 2.

Can somebody please help me out please my grads are bad

Answers

Answer:

700mm

Step-by-step explanation:

.7 meters = 70cm = 700mm

Answer:

ASK A RABBIT

Step-by-step explanation:

A empty bowl has a mass of 600 grams. Sue puts 8 cans of equal mass into bowl. She weighs the filled bowl. It has a mass of 7 kilograms. What is the mass of each can in grams?

Answers

Answer:

6400/8 = 800gm

because 7000-600= 6400

and 6400/8 is our answer = 800grams

Step-by-step explanation:

1)  First we can convert kg into grams

2)   Then we deduct 600grams from the mass to show the weight of the mass without the weight of the bowl = - 600grams

1)      7kg = 7000gm  

2)     7000-600 = 6400

6400/8 = 800 grams

Answer:

Option B (800))

Step-by-step explanation:

We know that the mass of the empty container is 600 gr

And when they put 8 cans of equal mass then the final weight of the container is 7 kilograms or 7000 grams

If we call x the weight of the cans then this situation can be represented.

Now we solve the equation for the variable x.

How to find right triangle with Pythagorean theorem

Answers

Answer:

By using the formula of;

A² + B² = C²

Where A and B could be either of the 2 legs and C always have to be the hypotenuse of the right triangle. Hypotenuse is the longest leg of the triangle is the leg that's opposite to the right angle of the right triangle.

Hope this helps! I have attached a diagram for u to help you understand:

If the diameter is 111ft then the radius is

Answers

Answer:

55.5 is the I guess........

What is the Tan J? URGENT HELP PLS

Answers

Answer:

4th Option, [tex]\frac{12}{5}[/tex]

Hope this helps!

Round 89.288 to the nearest tenth

Answers

Answer:

89.3

Step-by-step explanation:

89.288

Eight is greater than five so we add 1 to the underlined number

F'(x)=2x+17 f(1)=7 what is f(0)

Answers

9514 1404 393

Answer:

  f(0) = -11

Step-by-step explanation:

The function f(x) is found by integrating its derivative. The constant of integration is found from the given point.

  [tex]\displaystyle f(x)=\int{f'(x)}\,dx=\int{(2x+17)}\,dx=x^2+17x+c\\\\f(1)=7=1^2+17\cdot1+c\quad\rightarrow\quad c=-11\\\\f(0)=0^2+17\cdot0-11\\\\\boxed{f(0)=-11}[/tex]

Lee's goal is to log more
than 10,000 steps each day. If
she is awake 16 hours a day,
how many steps does she need
Ito take each hour?

Answers

Answer: 625 steps per hour

Step-by-step explanation:

10,000/16=625

Which data set would be numerical?

Eye color
Kinds of pets
Age
Favorite food

Answers

The answer would be age.

In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game.

explain

Answers

Answer: 35

Step-by-step explanation:

Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.

Answers

Answer:

SA = 56 sq mi

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

SA = 16 + 1/2(16)(5)

SA = 16 + 8(5)

SA = 16 + 40

Plz help me well mark brainliest if correct!!.....

Answers

D. 12 inches


hope this helps

Answer:

12 inches

Step-by-step explanation:

All you have to do is divide 72 by 6.

72 divided by 6 equals 12.

So your answer would be D.12 inches

the perimeter of a square bulletin board is 280 cm how long is one of its side
i follow who answer this;)​

Answers

Answer:

70cm

Step-by-step explanation:

Perimeter of square= 4×Side

280/4=Side

70=Side

70cm

hope it helps

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

Perimeter of square = 4a

280 = 4a

a =

[tex]280 \div 4 = 7 0 [/tex]

Side = 70cm

Thanks Hope it helps
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