Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons. If the pattern continues, the next group of dots would have 61 dots. Which of
the following statements best describes the sequence that represents the number
of dots in each group?
A The sequence is arithmetic, because the first differences are constant.
B) The sequence is arithmetic, because the second differences are constant.
c) The sequence is quadratic, because the first differences are constant.
The sequence is quadratic, because the second differences are constant.

Consider The Given Figure, Which Shows Groups Of Dots Arranged In Increasingly Larger Hexagons. If The

Answers

Answer 1

Answer:

a

hddhdhdhhdgdhdgdhf

yyeyeyehrggggdgfhfhhfbfbdbfbdfbbfhhbfbdvwshhdgnhh

Answer 2

The sequence is arithmetic because the second differences are constant. Then the correct option is B.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons.

If the pattern continues, the next group of dots would have 61 dots.

The first difference will be

The difference between 7 and 1 is 6.

The difference between 19 and 7 is 12.

The difference between 37 and 19 is 18.

The difference between 61 and 37 is 24.

The second difference will be

The difference between 12 and 6 is 6.

The difference between 18 and 12 is 6.

The difference between 24 and 18 is 6.

Thus, the sequence is arithmetic, because the second differences are constant. Then the correct option is B.

More about the sequence link is given below.

https://brainly.com/question/21961097


Related Questions

The sum of 9 and a number is less than 12. Which of the following inequalities expresses the solutions ?

Answers

The answer is 2 cause If you subtract 12 from 9 you’ll get 2.

A car salesperson sells cars at prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years.



The median car price is
. The distribution exhibits
.

Answers

Answer:

B. $25000

C. Symmetry

Step-by-step explanation:

Hope this helps

ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
O
mZQRS = [?]
Enter

Answers

40° is your answer

Answer:

:

< ABC+<QRS=180

m<QRS=180-140=40°

Find the area of the garden.

Answers

Answer:

28yd²

Step-by-step explanation:

area of square = side *side

=6*6= 36²

area of rectangle (patio)= length* breadth

=4*2=8²

area of garden= area of square - area of rectangle

=36-8

=28 yd²

Answer:

28 sq. yd

Step-by-step explanation:

For finding the area of the garden :

First Case:

Given,

Side of the big square = 6 yd

Therefore,

Area of the big square = side × side

= 6yd × 6yd

[tex] = 36 {yd}^{2} [/tex]

Second Case:

Length of the patio = 4 yd

Breadth of the patio = 2 yd

Therefore,

Area of the patio = Length × Breadth

= 4yd × 2yd

[tex] = 8 {yd}^{2} [/tex]

Last Case:

According to first and second cases,

Area of the garden

= Area of the big square - Area of the patio

[tex] = 36 {yd}^{2} - 8 {yd}^{2} [/tex]

[tex] = 28 {yd}^{2} [/tex]

Hence,

Required area of the garden is 28 sq. yd (Ans)

A farmer is worried that a recent salmonella outbreak may have come from the carrots on his farm. He wants to test the carrots at the farm, but it will ruin the crop if he tests all of them.
a. If the farm has 10,000 carrots growing, describe a method that would
produce a random sample of 10 plants.
b. Why would a random sample be useful in this situation?

Answers

Answer: for b. Step-by-step explanation: The random sample would show multiple outcomes of the carrot growth and the combinations, i believe

Corbin can shoot 24 baskets In 3 minutes. Which table best
represents this relationship?

Answers

Answer:

Table C

Step-by-step explanation:

This is the proportional relationship:

y = kx

We have x = 3, y = 24, then k is:

24 = 3k k = 8

The table will look as:

x = 1 ⇒ y = 1*8 = 8x = 2 ⇒ y = 2*8 = 16x = 5 ⇒ y = 5*8 = 40

Correct choice is C

Answer:

c

Step-by-step explanation:

help please, also explain

Answers

Firstly, It says that the two triangles are similar .              

The scale factor is 2 as 12 / 6 = 2

25 + 85 = 110

180 - 110 = 70.

70 degrees

Answer:

A: 70

Step-by-step explanation:

Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.

Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.

Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.

Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.


Ben ran 2/3 of a mile and walked 5/12 of a mile. How much farther did Ben run than walk?

Answers

Answer:

1.016 of a mile.

Step-by-step explanation:

Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is


PLEASE HELP ME!!!

Answers

1/6 I really don’t know if it’s right

1/2 ÷ 3 = 4 2/3 ÷ x. Solve the proportion​

Answers

Answer:

x=28

Step-by-step explanation:

i hope my answer is correct. it's been a while since i've done this.

If a triangle has a perimeter of 36 inches, which of the following would be the perimeter of the triangle
formed by connecting its midpoints?
(1) 18 inches
(3) 24 inches
(2) 20 inches
(4) 72 inches

Answers

Answer:

1) 18 inches

Step-by-step explanation:

By the Midsegment Theorem: A midsegment connecting two sides of a triangle is parallel to the third side and is half as long the third side.

ans: 36/2 = 18

The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each

Answers

Answer:

Apple costs $0.26

and orange costs $0.32

sorry i don't have time to explain but if u have doubts don't hesitate to ask

Make two equations
O = orange, A = allele
(12O + 7A = 5.36) 2
(8O + 5A = 3.68) 3
Make one of them same coefficient
24O + 14A = 10.72
24O + 15A = 11.04
Subtract both equations
-1A = -0.32
A = 0.32
24O + 14(0.32) = 10.72
24O + 4.48 = 10.72
24O = 6.24, O = 0.26
Solution:
One apple = $0.32
One orange = $0.26

PLEASE ANSWER ASAP! NO SCAM LINKS! OR REPORTED.

Answers

Answer:

im pretty sure its A

Step-by-step explanation:

What is 5 3/4 -1 5/12= ?

Answers

Answer:

4.33333333333 or 4 and 1/3

Step-by-step explanation:

Answer:

4 1/3

Step-by-step explanation:

1) Convert 5 3/4 to improper fraction.

2) Simplify 5x4 to 20.

3) Simplify 20+3 to 23.

4) Convert 1 5/12 to an improper fraction.

5) Simplify 1x12 to 12.

6) Simplify 12+5 to 17.

7) Find the least common denominator of 23/4 & 17/12.

8) Make the denominators the same.

9) Join the denominators.

10) Simplify 52/12 ( 4 1/3 )

Hope this helped!

​  

.

Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.

A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!




B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A

THANK YOU!!​

Answers

Answer:x=18

Step-by-step explanation:

if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V

ANSWER THE QUESTION IN THE PIC BELOW PLEASE

sorry if the pic is blurry if u can't tell what it says beside the line it says 4 in and at the bottom it says 8 in

Answers

The area to the question is 32

URGENT PLZ HELP!!!!!

Answers

Answer:

30% man this easy

Step-by-step explanation:

PLS GIMME BRAINLIEST PLS

o put on Your Thinking Cap!
$ Challenging Practice
1.
Michelle got an average score of 80 on two tests. What score must
she get on the third test so that her average score for the three tests
is the same as the average score for the first two tests?

Answers

Answer:

Michelle must get an 80 on her next test to keep her average score.

Step-by-step explanation:

Since Michelle got an average score of 80 on two tests, to determine what score she must get on the third test so that her average score for the three tests is the same as the average score for the first two tests, the following calculation must be performed:

X / 2 = 80

X = 80 x 2

X = 160

X x 3 = 80 x 3

X x 3 = 240

X = 240/3

x = 80

So, Michelle must get an 80 on her next test to keep her average score.

Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?​

Answers

See below hope it helps

Answer:

Increase in dollars = $1,539

Balance in the account at the end of the year = $6,939

Step by step explanation:

5400*.285=$1539

So increase in dollars is $1,539


That is the money growth. Now add to initial balance to find the account total after the end of the year

5400+1539=$6,939

Money in the account at the end of the year $6,939

Here it is sry and thx!

Answers

Answer:

B

Step-by-step explanation:

hard to explain xD

Answer:

#2

Step-by-step explanation:

1x60+45=105

2x60+45=165

3x60+45=225

4x60+45=285

Show all work to factor x4 − 10x2 + 9 completely.

Answers

Answer:

(x+3)(x-3)(x+1)(x-1)

Proof:https://www.symbolab.com/solver/step-by-step/x%5E%7B4%7D-10x%5E%7B2%7D%2B9

Johnny was able to drive an average of 29 miles per hour faster on his car after the traffic cleared. He drove 30 miles in traffic before it cleared and the drove another 176 miles. If the total trip took 6 hours, then what was his average speed in traffic?

Answers

Answer:

15 mph

Step-by-step explanation:

Before traffic cleared:

distance = 30 miles

average speed = s

time = t

d = st

30 = st

After traffic cleared:

distance = 176 miles

average speed = s + 29

time = 6 - t

d = st

176 = (s + 29)(6 - t)

30 = st

s = 30/t

176 = (30/t + 29)(6 - t)

176t = (30 + 29t)(6 - t)

176t = 180 - 30t + 174t - 29t^2

29t^2 + 32t - 180 = 0

(29t + 90)(t - 2) = 0

t = -90/29 or t = 2

Time must be a positive number, so we discard the solution t = -90/29.

t = 2

30 = st

30 = s * 2

s = 15

Answer: 15 mph

4z + 8 - 6=

7z ÷ 4 + 5x=

y² ÷ (3z) =
I NEED HELP :(​

Answers

Answer:

1: 14z+2

2: 7z/4 + 5x

3: y²/3z

Can someone help me!

Answers

Answer:

m∠A = 48.81°

Step-by-step explanation:

Given triangle is a right triangle and we have to measure ∠A.

Since, opposite side and adjacent sides of angle A has been given

So we will apply tangent rule to get the measure of angle A.

tan(∠A) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(∠A) = [tex]\frac{8}{7}[/tex]

∠A = [tex]\text{tan}^{-1}(\frac{8}{7})[/tex]

∠A = 48.814

  ≈ 48.81°

I think it will be b but I don’t know

Answers

Answer:

yeah it is b

acute and scalene

Step-by-step explanation:

scalene means none of the sides equal

and also all sides are acute angles

Answer:

yep you are correct it would be answer b

Step-by-step explanation:

hope this helped you

solve plsssssssssssss

Answers

Answer:

7/24 is x and 24/25 is y :)

Step-by-step explanation:

hopefully that helped

There are 20 monkeys in a zoo. There are 4 times as many lions monkeys as lions. How many lions are there

Answers

It is 80 lions......

5th grade math. correct answer will be marked brainliest

Answers

Answer:

sorry but the picture if you put one on here isn't showing up maybe Repost and I could answer

Where is the question

Amy buys 22 envelopes for 13p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.​

Answers

hi there lol have a great day

the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3

Answers

The question is incomplete. The complete question is :

The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)

Solution :

Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]

Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]

V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]

∴ r = 1

[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]

[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]

[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex]   cm/s

Surface area, [tex]$A = 4 \pi r^2$[/tex]

    [tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]

[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]

    [tex]$=14 \ cm^2/s $[/tex]

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