Answer:
Hydrostatic Force = 35.28KN
Step-by-step explanation:
To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.
Formula for a thin horizontal slice of the triangle the force is;
δF=ρgxwδx
Where w is width of triangle; ρ is density of water and g is acceleration due to gravity
At depth x, the width of the triangle is w=2/3x.
Thus, F = (3,0)∫)ρgxwδx
=(2/3)ρg[(3,0)∫)x²δx]
= integrating, we have;
F = (2/3)ρg[(3³/3) - (0³/3)]
F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN
9514 1404 393
Answer:
26. B(t) = 500·1.075^t; B(6) ≈ $772
27. G(t) = 70·0.72^t; G(3) ≈ 26 g
Step-by-step explanation:
The equation with the plus sign is used when the value is increasing. The minus sign is used when the value is decreasing. The 'a' in each equation is the initial value.
__
26. B(t) = 500·1.075^t
B(6) = 771.65
The balance after 6 years is about $772.
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27. G(t) = 70·0.72^t
G(3) = 26.127
About 26 grams are left after 3 days.
The ratio expression is £ 1.00 : £0.64 = 100:64
= 25:16
Answer:0.124
Step-by-step explanation:
Using binomial distribution,
p =1-0.55=0.45
q = 0.55
n = 25
P( x=13) = 25 combination 13 x 0.55^12×0.45^ 13
= 0.124
