What is the common difference of the arithmetic sequence graphed below?
GO
an
1.
-11
1
2
3
4
5
6
7
8
9
n
-2
-3
4
5
-6
• (1.-3.75)
• (2, -4.5)
(3, -5.25)
• (4, -6)
(5.-6.75)
(6.-7.5)
• (7.-8.25)
• (8, -9)
-7
-8
-9
-10

Answers

Answer 1

9514 1404 393

Answer:

  -0.75

Step-by-step explanation:

If the difference is common, it is the difference of any pair of adjacent y-values (for sequential x-values).

  -4.5 -(-3.75) = -0.75 . . . . . difference between the first two y-values

The common difference is -0.75.


Related Questions

What is an explicit rule in math?

Answers

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. It may be written in either subscript notation a n, or in functional notation, f (n). Sequence: {10, 15, 20, 25, 30, 35, ...}.

Step-by-step explanation:

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. ... This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).

Step-by-step explanation:

look at the picture above please help

Answers

Answer:

♨ [tex] \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : [/tex]

☄ [tex] \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : [/tex]

Height ( h ) = 4 cm , Base ( b ) = 16 cm

☂ [tex] \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: [/tex]

Area of the parallelogram

☃ [tex] \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: [/tex]

☼ [tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}[/tex]

~Plug the known values & then multiply!

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}[/tex]

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }[/tex]

☥ [tex] \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}[/tex]

♡ Hope I helped! ツ

Have a wonderful day / night !

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✔

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}[/tex]

Given:

base[b]=16cm

height [h]=4cm

we have

Area of parallelogram=base ×height

=16×4=64cm²is your answer.

A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs​ $99, will the coach need to spend more than​ $1,000 for the​ bleachers? How can you decide without using​ division? and links are included to but if it is to cheat i am reporting them

Answers

Answer:

No need to spend more than $ 1,000

Step-by-step explanation:

assume the coach needs 10 set

10 set will cover 10×56 = 560 people that more than 453.

so,

the cost is only 10× $99 = $ 990

that less than $ 1,000

Answer:

Fewer  than 10 sets of bleachers are needed. This is because 5610  560​, which is greater than  453. The cost of 10 sets of bleachers would be ​$9910​ $ 990​, which is  less than  ​$1,000. The coach  will not  need to spend more than​ $1,000 for the bleachers.

Please help its urgent will give brainiest and show your work

Answers

Answer:

r = 28 ft

Step-by-step explanation:

In a right triangle we have:

45² + r² = ( 25 + r )²

2025 + r² = 625 + 50r + r²

1400 = 50r

r = 28 ft

Please help and I will give brainliest if u do.

Answers

Answer:

See explanation below

Step-by-step explanation:

The width is 4 inches

So, the area of the base is 20 inches squared

The height is 4 inches

So, the volume of the prism is 80 inches cubed

Answer:

is this like BxH or is there a specific equation

Step-by-step explanation:

8) Cameron plans to purchase his graduation pictures. The prints cost at least $192 since there are add
ons he may purchase. If he saves $32 per week, write and solve an inequality to determine how many
weeks it will take for Cameron to purchase his graduation pictures.
I

Answers

Answer:

I dont know how to write the answer but i hope my math helped.

Step-by-step explanation:

192 divided by 32 is 6 so it will take Cameron a total of 6 weeks to get is pictures.

Answer:

32x>192

Step-by-step explanation:

I'm not 100% sure, but if you said you needed an inequality the money could be more than 192. So if you have $32 per week (x) is greater than 192 and solve, Camerson could work 6 weeks OR greater. I hope this helps :)

A net of a triangular prism is shown below.
8 ft
3 ft
0 TO 900k
3ft -
5ft
explore
5 ft
re
What is the surface area, in square feet, of the triangular prism

Answers

Answer:

answer: its c 108

Step-by-step explanation:

for the rectangles I just did base x height for all of them and got 24, 32, and 40 then I do the two triangles for those its just base x height ÷ 2 So 4 x 3 = 12 then I divide that by 2 and get 6 but since there's two of those triangles I multiply by 2 and end up with twelve again then I add all of these numbers up so...

24 + 32 + 40 + 12 = 108 Hope this makes sense to you!

Let ​g(x)x and ​h(x)
. Evaluate .

Answers

9514 1404 393

Answer:

  h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

  [tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]


You find a mutual fund that offers approximately 6% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $711.32
O B. $994.60
O c. $912.86
O D. $972.84

Answers

I would have to go with answer d

$972.84 is invested in total after 1 year.

Correct option is (D)

What is compound interest?

Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.

As per the given data:

Compounding frequency (n) = 12

Final value (FV) = $1000

Time period (t) = 12 months = 1 year

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

FV – Future worth of the investment is the final balance in our calculation.

P – Initial balance (the value of the investment);

r – Annual interest rate (in decimal);

n – Number of times the interest is compounded per year (compounding frequency); and

t – Numbers of years the money is invested for.

Substituting the given values

[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]

[tex]P = \$ 972.84[/tex]

Hence, $972.84 is invested in total after 1 year.

To learn more about compound interest, click:

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Find the value of x.

Answers

Answer:

[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]

Find the surface area of the prism.
5 yd
4 yd
12yd
6 yd
The surface area is
square yards.

Answers

Answer:

The surface area is 12 square yards.

Step-by-step explanation:

Is 12 yards big boss don’t worry

What is an equation of the line that passes through the points (4, -1) and
(-8, –7)?

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

Find the value of x
7-10 plsss

Answers

Answer:

Step-by-step explanation:

Hope it helps u!!

The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.

What is Polygons?

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

7) It is a polygon with 4 sides (quadrilateral)

Sum of the interior angles of a quadrilateral = 360°

45° + 65° + 95° + x = 360°

x = 360° - (45° + 65° + 95°)

x = 155°

8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.

There are 6 sides.

Sum of the interior angles = (6 - 2)180° = 720°

x + 140 + 130 + 120 + 90 + 150 = 720

x = 90°

9) n = 5

Sum of the interior angles = (5 - 2) 180° = 540°

2x + 90 + 100 + 70 = 540

2x = 280

x = 140°

10) Sum of the exterior angles of a polygon is 360°.

4x + x + 98 + 162 = 360

5x = 100

x = 20°

Hence the values of x are found.

Learn more about Polygons here :

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please answer the question! i will give brainliest!!!!!!

Answers

Answer:

B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:


pls help!!!! 15 points !!!

Answers

Answer:

56 cm

Step-by-step explanation:

It’s 56 cm! :) hope this helps out

Help pls Show work if needed

Answers

Answer:

8a) false

8b) true

8c) true

8d) false

Find the measure of RPQ

Answers

Answer:

Step-by-step explanation:

<SRQ = 270 degrees

<RPQ is just 31 degrees short of that amount.

<RPQ = <SRQ - 31

<RPQ = 270 - 31

<RPQ = 239

Which one is correct?

Answers

Answer:

C! I remember this hehehehe xD

WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. over the course of 4 months,their combined bill is 1,520. write the system of equations that describes this situation and solve it to find the montly payments for anita and casey.

Answers

Answer:

1520/4=380 per month

Step-by-step explanation:

The monthly payments for Anita and Casey are 230 and 150.

What is equation?

"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."

Assume

Monthly payments for Anita = x

Monthly payments for Casey = y

We have

Anita pays 80 more than Casey does each month.

We can write the equation

x = y + 80

x - y = 80 ...........................(1)

Over the course of 4 months, their combined bill is 1,520.

We can write the equation

4x + 4y = 1520...................(2)

Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)

⇒4x + 4y = 1520

⇒4(y + 80) + 4y = 1520

⇒4y + 320 + 4y = 1520

⇒8y = 1520-320

⇒8y = 1200

⇒y = [tex]\frac{1200}{8}[/tex]

⇒y = 150

Substitute y = 150 in equation (1)

⇒x - y = 80

⇒x - 150 = 80

⇒x = 80+150

⇒x = 230

Hence, the monthly payments for Anita and Casey are 230 and 150.

Learn more about equation here

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which is it? please help me and i will give brainliest

Answers

Answer: A, 1/2

Step-by-step explanation:

he is simply using 1 cup of bs for each cup of ws so when you do it its i cup of ws then its hald of 1 bs

Answer:

it is 1/2 i.e. the first option

this is simple ratio method;

white : brown

      2 : 1

       1 : x

x = 1/2 cups

Hope this helps!

I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)

Please help me please

Answers

Answer:

F

Step-by-step explanation:

Andrew, Blake, Jamal, Ernesto

Write each percent as a common fraction

16 2/3

Answers

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6

all real numbers are complex numbers also. true or false?

Answers

Answer:

From the first definition, we can conclude that any imaginary number is also a complex number. From the second definition, we can conclude that any real number is also a complex number.

How many centimeters are equal to 0.4 inches? Remember, 2.54 cm = 1 in.
Enter you number as a decimal and round to the nearest hundredth. 

Answers

1.02 centimeters is your answer

Answer:

1.016 cm

Step-by-step explanation:

1 inch = 2.54 cm

0.4 inch = 2.54 * 0.4 cm = 1.016 cm

Determine whether the distribution below represents a probability distribution.
x

P(x)

3

-.3

6

.5

9

.1

12

.3

15

.4

Answers

Answer:

No, not a probability distribution.

Step-by-step explanation:

It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.

Which equation is not equivalent

Answers

Answer:

C

Step-by-step explanation:

(2x+3)(x+4) = 2x² + 8x + 3x + 12

                  = 2x² + 11x + 12     ≠  2x² + 10x + 12

If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12

Answers

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

   so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.

Find the value of x to the nearest tenth

Answers

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .


P
13pls answer and will mark brainliest​

Answers

Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1

Answers

I think b but not sure :)

Answer:B

Step-by-step explanation:

just took the test

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