ring.
b. How many cells are in the honeycomb after the ninth ring is formed?
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
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
Learn more about arithmetic sequence here:
Answer:
Part B is 271!!!
Step-by-step explanation:
a9=54
S9=9/2(6+54)=270
270+1
=271
8x-15=17
The divisors of 64 are: 2, 8, and 16. Correct options are a, c and e.
To find out which of the given numbers are divisors of 64, we simply need to check which ones divide 64 without any remainder.
A divisor of a number divides it evenly, leaving no remainder. Let's check each number:
1. 2: 64 ÷ 2 = 32 (No remainder, so 2 is a divisor of 64).
2. 6: 64 ÷ 6 = 10.666... (There is a remainder, so 6 is not a divisor of 64).
3. 8: 64 ÷ 8 = 8 (No remainder, so 8 is a divisor of 64).
4. 12: 64 ÷ 12 = 5.333... (There is a remainder, so 12 is not a divisor of 64).
5. 16: 64 ÷ 16 = 4 (No remainder, so 16 is a divisor of 64).
The divisors of 64 are: 2, 8, and 16.
To know more about divisors:
#SPJ2
Which of the following descriptions are equivalent ways to write this problem?
Shania will spend 6.5x dollars on each of the eight gift bags, for a total of 52x dollars.
Shania will spend a total of 20x dollars on nail polish and a total of 32 dollars on manicure kits.
Shania will spend 2.5 dollars each on x nail polishes for eight gift bags and 4 dollars each on eight manicure kits.
Shania will spend x dollars each on 20 nail polishes and 4 dollars each on eight manicure kits.
Answer:
B.
Step-by-step explanation:
(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)
Answer:
The points (12,3), (-2,-5) and (1,15) through which the line can pass.
Step-by-step explanation:
A line passes through the point (0, –1) and has a positive slope.
(i) The slope of the line passing through the points (0,-1) and (12,3) will be
(ii) The slope of the line passing through the points (0,-1) and (-2,-5) will be
(iii) The slope of the line passing through the points (0,-1) and (- 3,1) will be
(iv) The slope of the line passing through the points (0,-1) and (1,15) will be
(v) The slope of the line passing through the points (0,-1) and (5,-2) will be
Therefore, the points (12,3), (-2,-5) and (1,15) through which the line can pass. (Answer)
Answer:
A, B, D
Step-by-step explanation:
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