V = π*r^2*h
(9000 in^3/min)*(10 min) = π*(72 in)^2*h
h = (90,000 in^3)/(5184π in^2) ≈ 5.5 in
Answer:
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Answer:
x ≈ 13.7
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(58°) = 22/x
x = 22/tan(58°) ≈ 13.747
The value of x is about 13.7 units.
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
Answer:
The correct option for the answer is C.) $3.29 / $2.96
Step-by-step explanation:
i) national average for a gallon of gas = $2.74
ii) for transportation New York is 1.2 times the National average
therefore one gallon of gas in New York will cost = 1.2 
$2.74 = $3.29
iii)for transportation Los Angeles is 1.08 times the National average
therefore one gallon of gas in New York will cost = 1.08 $2.74 = $2.96
Therefore you should expect to pay for gas in New York versus Los Angeles C.) $3.29 / $2.96
