Answer:
x = 95
Step-by-step explanation:
Using the rule of logarithms
•
x = n ⇔ x = 
Given
(x + 30) = 3, then
x + 30 = 5³ = 125 ( subtract 30 from both sides )
x = 95
The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
Adult tickets are $8 and child tickets are $4
Answer:

Step-by-step explanation:


Add:- 
and 
So, 
Add 7 to both sides:-

Divide both sides by 11:-


<u>OAmalOHopeO</u>