Domestic bees make their honeycomb by starting with a single hexagonal cell, then forming ring after ring of hexagonal cells around the initial cell, as shown. The number of cells in successive rings forms an arithmetic sequence.. A-Write a rule for the number of cells in the
ring.


b. How many cells are in the honeycomb after the ninth ring is formed?

Answers

Answer 1
Answer:

By plugging in the ring number, 9, in the equation for the number of

cells in a ring, gives 54.

Response:

A. The rule for the number of cells in the ring is, aₙ = 6 + (n - 1) × 6

B. The number of cells in the ninth ring are 54 cells

How can the number of cells be expressed as an arithmetic sequence?

Given;

The type of sequence = Arithmetic sequence

From the possible drawing of the question obtained from a similar question, we have;

Number of cells in thefirst ring that goes around the first cell = 6

Number of cells that go around thesecond ring = 12

A. The common difference of the arithmetic sequence = 12 - 6 = 6

We have that the nth term of an arithmetic sequence is; aₙ = a + (n - 1)·d

Taking the first ring as the first term, we have;

a = 6

Which gives;

The rule for the number of cells in the ring is, aₙ = 6 + (n - 1) × 6

Where;

n = The ring number

B. In the ninth ring, we have;

a₉ = 6 + (9 - 1) × 6 = 54

  • The number of cells in the ninth ring, a₉ = 6 + (9 - 1) × 6 = 54

Learn more about arithmetic sequence here:

brainly.com/question/773011

Answer 2
Answer:

Answer:

Part B is 271!!!

Step-by-step explanation:

a9=54

S9=9/2(6+54)=270

270+1

=271


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How do you write 1 as a percent?

Answers

Multiply both numerator and denominator by 100 to make it a percent.
So 1 as a percent would be 100%.
0.01% because you have to move the decimal

What's 3x divided by 46

Answers

3x/46

3/46 x

decimal = 0.06x

I hope that's help !

The Windows on the first floor of a building are 3 1/2 yards wide. The Windows on the second floor of the building are 1 7/9 yards wide. How much wider are the Windows on the first floor than the second floor

Answers

the answer, is 2 1/9. subtract  1 7/7 from 3 1/2, and you'll get 2 1/2

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What are the two formats for preparing the business income statement?

Answers

Answer:

single step and multi step

Step-by-step explanation:

Single step consists of only revenues and expenses.

Multi step consists of gross profit, operating profit, and net income

Answer:

Single Step and a Multiple Step

Step-by-step explanation:

A single-step income statement gives a company’s revenue and expenses in a simplified form, which is easier for accountants to prepare and for investors to read. It shows revenues and gains at the top of the statement, with expenses and losses at the bottom. While easy to understand, single-step income statements are not very detailed. Some investors may find it difficult to determine where the company incurred most of its expenses from this basic outline. This makes it unclear whether the company will be sustainable enough to thrive, and it may make some investors less likely to invest capital in the company.

A multiple-step income statement gives a better representation of the costs of goods sold. It also gives investors a better idea of how a company operates and whether that operational structure is sustainable and potentially profitable. But multiple-step income statements can take much time and effort to prepare. The choice between preparing a single- and multiple-step income statement will depend on the resources the company has, and on the needs and demands of its stakeholders.

PLEASE HELP I GIVE THANKS

Answers

the measure of angle 1 is 146 degrees

Sean wrote a number on a piece of paper. If he multiplied his number by 5 and then divided by 2,
the answer would be 30. What was Sean’s number?

Answers

5x/2=30
2(5x/2)=2(30)
5x=60
x=12