The function f(s) = 400 + 0.0066667s2 - 0.0000001s4 approximates the length of the cable between the two vertical towers of a suspension bridge, where s is the sag in the cable. Estimate the length of the cable of the bridge in the next column if the is 28.3 feet. (Round your answer to the nearest foot.) 400 ft

Q: A rock is launched vertically upward from the ground with a speed of 96 ft>s. Neglecting air…

A: Given that s(t)= -16t2 + 96t. a) the average velocity of the rock between t = 1 s and t = 3 s is:

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A:

Q: The value, V, of a computer can be modeled by the function V (t) = 1, 300(.61)", where t is the…

A: The given model is: V(t)=1333(0.61)t Where, t is in years.

Q: Differentiate the following function and name each property it uses to do so y = sen³ (3x)

A: Given  y=sin3(3x) Here we can differentiate the y with respect to x In order to differentiate…

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: The price of 1 L of gasoline is $1.85. On a level road, Bruce's car uses 0.08 L of fuel for every…

A:

Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given,    S= 10T² + 4   Yes, here S is function of T.  Thus, S = f(T) = 10T² + 4

Q: A rock is thrown straight up in the air from an initial height h., in metres, with initial velocity…

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Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: ball is thrown in the air from the top of a building. Its height, in meters above ground, as a…

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Q: NASA launches a rocket at �=0 seconds. Suppose its height, in meters above sea-level, as a function…

A: The objective of the question is to find the maximum height reached by the rocket. This can be found…

Q: 1.574 = 0.000173 * f2

A:

Q: If a bullet from a pistol is fired straight up from the ground, its height t seconds after it is…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.