72. Flight of a Ball A baseball is hit with upward velocity 48 feet per second when t = 0, from a height of 4 feet. a. Find the function that models the height of the ball as a function of time. b. Find the maximum height of the ball and in how many seconds the ball will reach that height.

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

A:

Q: 6. What is the maximum profit a company can earn if the following function describes the profit (in…

A: Given that p(x)=-1.7(x-200)^2+35000 To find The maximum profit of a company that can earn.

Q: 4) A typical cup of coffee contains 100 mg of caffeine. Every hour, approximately 16% of the amount…

A:

Q: 34. The cost of operating a clothing factory for one day is $200 per day plus the labor cost, which…

A:

Q: 86. Suppose that a basketball player jumps straight up for a rebound. a. If his initial speed…

A: Given a basketball player jumps straight up for a rebound

Q: 2. A ball is thrown in the air and its height is modeled by the function h(t) =- 16(t – 5)² + 4 h(t)…

A:

Q: 1) A microorganism is observed to double its population every 3 weeks. Supposed that there were 10…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: 2. A sponsor wants to supplement the budget allotted for each family by providing an additional P1,…

A: A sponsor wants to supplement the budget allocated for each family by providing an additional…

Q: A ball is thrown into the air with an upward velocity of 48 ft/sec. Its height h in feet after t…

A:

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

A: Maxima and minima: The peaks and valleys in a function's curve are called maxima and minima. A…

Q: Since the start of the year, the price of gasoline has been decreasing at the cost of 5 cents per…

A: We  have given that the start of the year, the price of gasoline has been decreasing at the cost of…

Q: 13. Cecilia's paycheque increases by $100 every month. What type of relation is this? a. linear b.…

A:

Q: D An amusement park charges $11 for admission. On average, 20,000 people visit the park each day,…

A: Given that, Admission charge=$11 people visited the park on one day =20,000 suppose they increase…

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

A: Consider the given function ht=-4.92+30t+10

Q: 9. A function modeling the number of AIDS cases reported t years after 1990 in a certain location is…

A:

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 heighth (in feet) is given by the function…

A:

Q: In Exercises 1–4, (a) write a formula for the function and (b) use theformula to find the indicated…

A:

Q: 4. A penny is dropped from the top of the tallest radio tower in the U.S., the KVLY-TV tower in…

A: Here we use derivatives to solve this problem.

Q: Victoria kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit…

A: Please refer the attached image for complete solution.

Q: The revenue (in billions of dollars) from artificial intelligence for enterprise applications in a…

A: The revenue from AI for enterprise applications in a country for the year from 2016 to 2027 cab be…

Q: 4 The cost of fuel per hour of running a jet aircraft, $C, is a function of its cruising velocity, v…

A:

Q: Vanessa kicked a soccer ball laying on the ground. It was in the air for 4 seconds before it hit the…

A: vanessa kicked a soccer ball laying on the groung. It was in the air for 4 seconds before it hit the…

Q: 17. Which describes a feature of the function shown on the graph above? Time A. Mark starts his trip…

A: So in this case we clearly see that marks walks away from home at different speed and coming back…

Q: 86. Suppose that a basketball player jumps straight up for a rebound. a. If his initial speed…

A: Initial speed v0= 16 ft/seca= acceleration = -32 ft / sec^2Initial height = s0= 0 Answer: s(t)=…

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: 164uuh W 3. A certain notebook costs P38.00 per piece. However, if you buy more than 12 pieces, they…

A: Let the number of notebook is n and C(n) be the cost of all notebooks as a function of n. From the…

Q: 42. A cannonball is fired from a cliff that is 260 feet above ground. The height s, in feet, of the…

A: (a) Obtain the time at which the cannon ball will be 320 feet above the ground.

Q: #27 Using technology, we found that Juan’s investment account can be modeled by the function, C(x)…

A: Given data is: Juan’s investment account can be modeled by the function Cx=3x2-2x+5 in thousands of…

Q: 71. Business. If the quantity of a product manufactured during a day is given by n(t) = 50t – and…

A:

Q: 4. A ball is thrown upward from the ground. Its height (h, in feet) is given by the function h=-1612…

A: In this question we have to find maximum height that the ball reaches.

Q: Assume that the demand for tuna in a small coastal town is given by 650,000 q1.5 where q is the…

A:

Q: 8.) Calvin kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit…

A:

Q: 8. A thermometer reading 20°F is brought into the room where the temperature is 80°F, two minutes…

A:

Q: 1. A driver is initially 270 miles from home, travelling toward home on a straight interstate at 72…

A: The driver is initially 270 miles from home, travelling in a straight line at a speed of 72 miles…

Q: A toy rocket is launched from the top of a building 60 feet tall at an initial velocity of 151 feet…

A:

Q: Question 13

A: The given function and the number is,

Q: Billy is walking from the front door of his house to his bus stop, which is 940 feet away from his…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 25 65 Assume the velocity of a person traveling along a straight hiking trail is given by the graph.…

A: Here, the velocity of the person plotted against the time is for eastward direction. As because…

Q: Francine throws a wrench into the air from the bottom of a trench 10 feet deep. Its height t seconds…

A: Definition used -               The maximum height for a quadratic equation -                 We…

Q: Assume that the demand for tuna in a small coastal town is given by 750,000 p = q1.5 where q is the…

A:

Q: 4. Suppose you take a one hour car ride, and this is the graph of your velocity as a function of…

A:

Q: 15 A helicopter is hovering at an altitude of 3, 450 feet above sea level. It descends at a constant…

A:

Q: The cost per hour for fuel to run a train is 20 dollars, where v is the speed of the train in miles…

A: Given data: Cost per hour to fuel a train=v230 Labor cost=$360 per hour

Q: 3. A ball is kicked in the air and its height is modeled by the function h(t) = – 16 + 481, where…

A: Given, h(t) = -16t2 + 48t   We have to find when does ball hit the ground

Q: 17. A laptop computer loses its value each month after it is purchased. Its value as a function of…

A:

Q: 88. A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A: If the usage is less than or equal to 600 minutes.Then charges is (49.95+14.02)=$63.97

Q: The height of a projectile launched upward at a speed of 32 feet per second from a height of 128…

A: Given: The height is given by ht=-16t2+32t+128.

Q: A certain diet pill is designed to delay the administration of the active ingredient for several…

A: Given information: The given function is Ct=3t2t2-20t+51. The graph is shown below: