A. The Least common multiple between 6 and 8 is 24, so you have to buy 4 packages of pens and 3 packages of pencils.
2. Since you bought 24 pens and 24 pencils, you have 48 pens and pencils in all
Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is

where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:

comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.

Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Answer:
A square
36 square yard.
Step-by-step explanation:
Given the following information:
W(3,3), X(-3,3), Y(-3,-3), and Z(3,-3)
So we need to graph those vertices and connect them in order.
(please have a look at the attached photo)
From the graph, it clear that the shape of the garden is a square.
Then, we need to calculate the length of the four sides
<u>Find the length of the side YZ.
</u>
The length of side YZ = 3 + 3 = 6 yards because point Y and Z are on the same line y = -3 so we just need to find the distance between their x coordinate
<u>Find the length of the side WZ.</u>
The length of side WZ = 3 + 3 = 6 yards because point W and Z are on the same line x = 3 so we just need to find the distance between their y coordinate
=> the area of the square WXYZ:
= YZ*WZ
= 6*6
= 36 square yard.
Sure. What do you need help with exactly?
Answer:
1. y = 36°
a = 9.7
2. No.. wire H to P/Q is not a tangent
Step-by-step explanation:
see below