A frog sitting on a rock jumps into a pond. The height, h, in centimetres, of the fr above the surface of the water as a function of time, t, in seconds, since it jumped can be modelled by the function h -490t2 + 150t +25 Row Domain tER teR 3 Range h< 36. 48 0

Q: A ball is thrown upward from the top of a 60-foot-high building at a speed of 50 feet per second.…

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Q: A machine produces open boxes using square sheets of metal measuring 12 inches on each side. The…

A: Side of square sheet=12 incheslength of the square cut-out=x inchesSo ,     length of box=12-2x…

Q: Consumer expenditures, in millions of dollars, on all types of books in the United States for the…

A: Given the consumer expenditure in millions of dollars as,  Bx=28,660e0.0487x, where x=0 represent…

Q: When a person swallows giardia cysts, stomach acids and pancreatic enzymes cause the cysts to…

A: (a) part Suppose released trophozoites y be the function of time t and the number of trophozoites at…

Q: Based on census data, the population of Freedonia is modeled by the function P(t) = 309t + 37559…

A: Given query is to find the year when rate of change of population is 1236 people per year.

Q: 0. 5.

A: **If graph of function is symmetric about the origin is called odd function . **If graph of function…

Q: . An object is projected upwards with a velocity on 96 feet per second from a height of 7 feet above…

A: Given: ht=-16t2+96t+7 To find:  When will the object reach its maximum height? Determine the…

Q: Rachel has 280 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

A: We have to find area equation , x and maximum area

Q: A manufacturer models its weekly production of office chairs since 2001 by the function N(t)= 100+…

A: Given N(t)=100+25t, where N is the number of chair in time    Since workforce's of manufacturers is…

Q: Isabel has 480 meters of fencing and wishes to enclose a rectangular field. Suppose that a side…

A: Please refer the attached image for complete solution.

Q: Suppose the value of Tech Advanced stock (in dollars) is given by g(t) where t represents the number…

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given that, f(z) = 15000 + 2000zr

Q: A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece is bent into a…

A: A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece is bent into a…

Q: A baker starts a bakery with an initial investment of $20,000, The cost of producing a dozen loaves…

A: We have to find the total cost, average cost per dozen and domain.

Q: A ball is thrown from the top row of seats in a stadium. The function h(t) = -16t2 + 64t + 80 gives…

A:

Q: A stone is thrown upward from the top of a building. Its height (in feet) above the ground after t…

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Q: The projected population of the United States for the years 2025 through 2055 can be modeled by  P…

A: States for the years 2025 through 2055 can be modeled by  P = 307.58e0.0052t,  where P is the…

Q: The MAT133 teaching team has a band called "The Optimizers", which is organizing a concert next…

A: The demand quantity of ticket (q) as a function of the price p (in…

Q: 10. When an apple is dropped from a tower 256 feet high, the function models the height of the…

A: we use second derivative test to find time where height is maximum

Q: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

A: To find the time that ball will take to reach its maximum height

Q: A young girl standing on a chff is throwing stones up into the air so that they land in the ocean…

A: The solution is :

Q: ball is hit from the ground. When the ball has traveled a horizontal distance of d meters, its…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 4,…

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Q: A baseball player hits a pop fly into the air. The function s(t) = -16t2 + 64t + 5models the ball’s…

A: Ball's height model s(t)=-16t2+64t+5 To find: Time to reach maximum height and maximum height.

Q: A rifle fires a projectile vertically upward from a height of 150 feet above the ground with an…

A: given that h(t)=-16t2+v0t+y0

Q: A tree of height y meters has, on average, B branches, where B=y−5. Each branch has, on average, n…

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Q: A wire of length 8x is bent into the shape of a circle. A. Express the circumference of the circle…

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Q: The height of a ball in feet, x seconds after it is thrown into the air is modeled by the function…

A: GivenThe height of ball in feet , x seconds after it is thrown into air is modelledby the function…

Q: student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

A: Given query is to find the maximum height.

Q: Laurie is building a circular pen to keep chickens in and can use up to 100 feet of fencing. The…

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Q: function that models the length F of fencing required, in terms of the width w of the pen. F(w) =

A:

Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

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Q: The path of a ball is modeled in the below function, where f(x) is the height of the ball, in feet,…

A:

Q: he hypotenuse of an isoscles right triangle is to be made into a circle C. Express the area A of C…

A: Given that: An isosceles right triangle, whose hypotenus was made into a circle C.Length of the legs…

Q: The function h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes.…

A: Given  H(t)  = 210 - 15t At t = 10 H(t) = 210 - 15(10) H(t)  = 210 - 150 H(t). = 60

Q: A movie theater is offering a special summer pass. Pass holders pay $8 per movie for the first 5…

A: The objective here is to define the function that gives the total cost, C in dollars for a pass…

Q: The water level, measured in feet above mean sea level, of Lake Lanier in Georgia, USA, during 2012…

A: Given L (t) =0.01441t3 – 0.4177 t2 + 2.703 t + 1060.1 We have to find when the water level was…

Q: The average depth of snow, in centimeters, on Alison's driveway one morning can be modeled by a…

A:

Q: McYutta's car depreciates so that its value after t years is given by a function of the form Q(t) =…

A:

Q: Rick's lumberyard has 240 yd of fencing with which to enclose a rectangular area. If the enclosed…

A:

Q: An employee at a garden center fills a water tank once a day to a height of 20 inches. The function…

A: given M(x)=5 x3

Q: In March of 1999, Bertrand Piccard and Brian Jones attempted to become the first people to fly…

A: Given:- The distance d(t)=97.8t kilometres Total travelled time=478 hours Average speed=97.8…

Q: farmer

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Q: Ashley has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

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Q: 10. Mr. Fox wants to take students on a field trip to the Shedd Aquarium in Chicago. For the group…

A: solution:- cost of each person = total cost/number of student

Q: A certain medicine is taken in 220 mg dosages and has a half-like of 12 hours. The function A-220…

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Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 4 hours, at a…

A:

Q: A kid launches a bottle rocket off of a launch pad. The rocket's height above the ground (in feet)…

A: Here will use, first derivative to find desired result

Q: The function y = -16x2 + Vox + ho represents the height of an object, y, in feet, above the ground…

A: The function is given to determine the height of an object at a time x, y=-16x2+v0x+h0. Here, v0, h0…