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
The velocity, slope, of a line is always (y2-y1)/(x2-x1), in this case:
slope=(8-2)/(7-9)=6/-2=-3
m=-3
The computation shows that the number of possible ways will be 12.
<h3>How to calculate the value?</h3>
From the information given, Mary has four t-shirts-T₁, T2, T3, and T4, and three pairs of jeans-J1, J2, and J3.
Therefore, the number of possible ways that she can choose her outfit will be:
= 4 × 3 = 12
In conclusion, the correct option is 12.
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Answer:
4^(-11)
Step-by-step explanation:
To divide powers, subtract the exponents.
4^(-2) / 4^9
-2-9=-11
So, the answer is 4^(-11), which is basically 4 to the eleventh power.
Answer: $20.60
Step-by-step explanation:
20 × 3% = .60
20 + .60 = 20.60
