A projectile is fired vertically upward and can be modeled by the function h(t)=−16t2+1500t+225. During what time interval will the projectile be more than 28,000 feet above the ground? Round your answer to the nearest hundredth.

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A: It is given that a bathtub has water added and drained simultaneously for 7 minutes. The total…

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A: If the arrow reaches the ground then h(t)=0…

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A:

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A:

Q: The growth of a certain bacteria can be modelled by the function, f(x)=250e^ .0614t , where t is the…

A: The explanation of the solution as follows:

Q: the number of bacteria in a culture was initially 8,000 and the number grew to 12,000 in 6 hours.…

A:

Q: The function f(x) = 4ᴫx3/3 describes the volume, f(x), of a sphere of radius x inches. If the radius…

A: f(x) = 4πx33 Volume of sphere , f(x) = 4πx33 where,  x is the radius of sphere in inches.…

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A: Given, S(x)=15+13x           And the equilibrium price =$ 236

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A: Given, a parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Let the…

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

A:

Q: If a baseball is projected upward from ground level with an initial velocity of 128 feet per second,…

A: Given height as a function of time S= -16t2+128t Here, A= -16 B= 128, C=0

Q: The owner of a video store has determined that the profits P of the store are approximately given by…

A:

Q: The function f(x) = (4/3) πx3 describes the volume, f(x), of a sphere of radius x inches. If the…

A: fx=43πx3 Differentiating with respect to x, we get f'x=ddx43πx3=43π·3x2            ∵dxndx=nxn-1=4πx2

Q: The cubic function that is the best fit for the data, with y equal to the number of millions of…

A: Given,            The cubic function that is the best fit for the data, with y equal to the number…

Q: If the position function of a moving object is 5(t) t-3t +2 meters from zero in t seconds, then

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A: The functions arefx=xx-2, gx=1x-2

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A:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 780…

A: Given :  Cost function :  C ( x ) = 780 + 35 x - 0.063x2  Find the rate at which average cost is…

Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea level, as a function of…

A:

Q: Use the position function s(t) = -16t2 + v0t + s0 to solve: A projectile is fired vertically upward…

A: The position vector is given as  s(t)=-16t2+v0t+s0 here v0=48 ft/sec s0 is the height at ground…

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A: Given: Rate of change in temperature between noon and 8 p.m. = -3∘F. At 1 p.m. the temperature was…

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A:

Q: The us population can be modeled by the function y=165.6x^1.345 where y is in thousands and x is the…

A: The US population is modeled by the function, y=165.6x1.345 where y is in thousands and x is the…

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A: Given temperature function is: F(t)=104e-0.0245t+76

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A: givenf(x)=170(0.82)x when f(x)=7then7=170(0.82)x(0.82)x=.041taking log on both…

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A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: The gates of an amusement park are closely monitored to determine whether the number of people in…

A: We will find what (e-l) (4) means in this situation as following.

Q: Find the equation of the line tangent to the graph of f(x) = 4x + 5x? – 4x – 3 at a = -7

A:

Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by…

A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x…

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A:

Q: If a baseball is projected upward from ground level with an initial velocity of 160 feet per​…

A:

Q: If a baseball is projected upward from ground level with an initial velocity of 32 feet per​…

A: When we throw a ball upwards, that ball goes and goes up, at a certain level of height, the thing is…

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A: Given function is gt=15.621.041t. Where t =10 represent year 2010. (a) Obtain the amount of dry…

Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: From given the volume function is fx=x3.

Q: If a projectile is fired straight upward from the ground with an initial speed of 128 feet per​…

A:

Q: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second,…

A: Consider the provided function.

Q: find the slang - (oblique)asymptote fy. f(&)=Jx3_8 X243x=1 S¥3-8

A:

Q: g(t)=15.18(1.047)t​,

A: gt=15.181.047t The year 2010 corresponds to t=10.

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Q: The height of the corn stock in inches over the first eight weeks of growth could be roughly model…

A: The height of the corn stock in inches over the first eight weeks of growth could be roughly model…

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A: *to find:- total income over the first 3 years. *concept:- integration of e^{ax} = (e^{ax})/a.

Q: Suppose the number of bacteria in a culture is modeled by the function P(t) = 1750e0-1t, where t is…

A:

Q: Is f (x) = 4e-0.3xan increasing or a decreasingfunction?

A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

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Q: The demand for a particular item is given by the function D(x)=1500-3X^2. find the consumers surplus…

A: Given equilibrium price = 300 and demand function.

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.