Answer:
The number of people that received copies of the letter at the twentieth stage is<em> 9.537 × 10¹³ </em>.
Step-by-step explanation:
Using the discrete model,
a_k = r a_(k-1) for all integers k ≥ 1 and a₀ = a
then,
aₙ = a rⁿ for all integers n ≥ 0
Let a_k be equal to the number of people who receive a copy of the chain letter at a stage k.
Initially, one person has the chain letter (which the person will send to five other people at stage 1). Thus,
a = a₀ = 1
The people who received he chain letter at stage (k - 1), will send a letter to five people at stage k and thus per person at stage (k - 1), five people will receive the letter. Therefore,
a_k = 5 a_(k - 1)
Thus,
aₙ = a rⁿ = 1 · 5ⁿ = 5ⁿ
The number of people that received copies of the letter at the twentieth stage is
<em>a₂₀ = (5)²⁰ = 9.537 × 10¹³ copies</em>
Answer:
140 deg
Step-by-step explanation:
The sum of the measures of the interior angles of an n-gon is
(n - 2)180
In a 9-gon, there are 9 sides, so n = 9.
The sum of the measures of the interior angles of a 9-gon is
(n - 2)180 =
= (9 - 2)(180)
= 7(180)
= 1260
A regular polygon has congruent interior angles. A 9-gon has 9 congruent interior angles. The measure of each interior angle is the sum of the measures of the interior angles divided by the number of angles.
1260/9 = 140
Answer:
the answer is 67 square inches.
Answer:
Option A.
Step-by-step explanation:
The given system of equations is
If a graph represents a system of equations which has two equation, then the intersection point of two curves is the solution of that system of equations.
It is given that, the graph of both lines intersect at (2, 3) on a coordinate plane.
Therefore, the solution of given system of equation is (2,3).
Hence, the correct option is A.
