Replace g for -2 and h for 5.
(2(-2) + 9(5) -5) - (6(-2) - 4(5) +2)
Taking this one at a time,
2(-2) = -4, and 9(5) = 45.
6(-2) = -12 and -4(5) = -20
(-4 + 45 - 5) - (- 12 - 20 +2)
Let’s distribute the negative symbol to the right side.
(-4 + 45 - 5) + (12 + 20 - 2)
Then, we solve!
(-4 + 40) + (12 + 18)
(36) + (30)
= 66!
The recursive formula of the geometric sequence is given by option D; an = (1) × (5)^(n - 1) for n ≥ 1
<h3>How to determine recursive formula of a geometric sequence?</h3>
Given: 1, 5, 25, 125, 625, ...
= 5
an = a × r^(n - 1)
= 1 × 5^(n - 1)
an = (1) × (5)^(n - 1) for n ≥ 1
Learn more about recursive formula of geometric sequence:
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Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°
The percentage of lemon in the juice is 10%
The percentage of water sugar is (100-10)=90%
The quantity of lemon in 20 liters of sugar water will be:
amount=(percentage of lemon)/(percentage of sugar water)×(amount of sugar water)
=10/90×20
=2 2/9 liters
Your answer is C
hope it helps
