A potato gun is a device made out of plastic pipe that launches a potato using compressed air. They can be great fun, and even educational for physics and math, as this question illustrates. A potato launched by a particular potato gun has a height described by h(t) = – 16t2 + 136t + 5. When is the potato 245 feet in the air? The potato is 245 feet in the air after seconds on the way up and after seconds on the way back down.

Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars)…

A:

Q: A tennis ball is thrown into a swimming pool from the top of a tall hotel. The height of the ball…

A:

Q: A ball is thrown straight up in the air at a velocity of 50 feet per second. The height of the ball…

A: Given,

Q: Solve the problem. A company determines that if x thousand dollars are spent on advertising a…

A: Given that a company determines that if x thousand dollars are spent on advertising a certain…

Q: 8. An astronaut, Is doing an experiment in a new planet He throws a rock from the top of a…

A:

Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 3420 —…

A:

Q: An object is launched from a platform. Its height (in meters), z seconds after the launch, is…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the initial height,…

Q: 10. The position of an object in motion is given by x(t) = 2t3 – 3t2 – 2t + 2 (t in seconds, x in…

A: Given, The position of an object in motion is given by  x(t) =2t3-3t2-2t+2 where, t in seconds , x…

Q: Suppose that a fruit stand exclusively sells apples and oranges. If the owner puts x apples and y…

A:

Q: A projectile is fired upward following the path of the equation f(t) = -t2 + 20t where t is time…

A: To find the maximum height of the projectile reaches.

Q: A firm can produce only 4400 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: Given data is : Cx=500+200x and Rx=450x-1100x2   To find the value of x for which form has maximum…

Q: An astronaut on the Moon throws a baseball upward with an initial velocity of 12 meters per second,…

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

Q: The bar graph shows the average cost of tuition and fees at private four-year colleges in the United…

A: It is given that U.S. school year ending in 2012. So, x=12. Substitute the value of x=12 in…

Q: A ball is shot upwards from a cannon which is on a platform 180 m high. The height, h, in meters, of…

A:

Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 3040 –…

A: Given: Demand for an electric fan is related to it's selling price p (in dollars) by the equation…

Q: A basic cellular package costs $20 per month for 60 minutes of calling, with an additional charge of…

A: At first we have to make the equation from the condition and then solve it to get the answer.

Q: A football is punted into the air. Its height is given by h (t) = -4. 9t² + 24. 5t + 1 where h is in…

A: Given ht=−4.9t2+24.5t+1 We have to find the maximum height of the ball and the time of the ball…

Q: During the hurricane, a brick breaks loose from the top of a chimney, 38 feet above the ground. As…

A:

Q: Calc students' excitement for the next exam can be modeled by E(t) = -16t3 – 30t² – 20t +90 where t…

A: Given Et=-16t3-30t2-20t+90

Q: The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of…

A:

Q: if someone throws a ball down from a height of 100 meters, the ball's distance from the ground can…

A:

Q: An object is projected vertically upward with an initial velocity of v0 ft/sec, and its distance…

A: For the solution follow the next steps.

Q: a) How long will it take the projectile reach its maximum height? (b) What is the highest height…

A: In this question, we need to find the maximum height of the particle and when it achieves.

Q: The height, h, in feet of a rocket launched into the air from the top of a building is given by h(t)…

A:

Q: Your are driving away from Detroit. Your distance (in miles) away from Detroit x hours after 12:00…

A: Find your answer below

Q: Suppose you have entered a 78​-mile biathlon that consists of a run and a bicycle race. During your​…

A: Let the time of run be x and the time of bicycle race be y.The average velocity of running and…

Q: Find the equation for a quadratic function that has horizontal intercepts at t = -2 and t = 5 and…

A:

Q: A tennis ball is hit into the air. The height of the ball, h(t), in feet, at time t, in seconds, is…

A: The given height function is ht=-16t2+64t+4. We have to find the interval of time when the height of…

Q: The revenue, R, of producing and selling a Awesome Hearing Aids is modeled by the equation R = 4x +…

A: Sol:  R= -4x2 + 118x For maximum revenue

Q: he cost C (in dollars) for a company to produce and sell x thousand gadgets is given by…

A: The cost C (in dollars) for a company to produce and sell x thousand gadgets is given by…

Q: 8. The profit P(in hundreds of dollars) that a company makes depends on the amount x (in hundreds of…

A: Given: The given function is P=230+20x-0.5x2. where x is the expenditure made by the company. The…

Q: The revenue (in millions of dollars) from the sale of x units at a home supply outlet is given by…

A:

Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x)= 3x-…

A: Given, Operating cost is given by: C(x)=3x2-36x+252,where x is number of watches repaired. Now,…

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: The objective of the question is determine maximum distance.

Q: A projectile is launched from a point above the ground. The height at ground level is given by the…

A: Consider the projectile with its height in meters as a function of time t in seconds ht=-3t2+24t.…

Q: A baseball player swings and hits a ball straight up in the air. The height of the baseball in…

A: The height of the baseball in meters t seconds after it the hit is given below. ft=−4.9t2+24.5t+1

Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars)…

A:

Q: 7. Cynthia owns a business that sells hand-made jewelry. The profit function for her business can be…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Beth owns a company that produces and sells glowing crystal balls. If x respresnts  the number of…

A:

Q: Cassandra is tossing a softball into the air with an underhand motion. The distance of the ball…

A: The expression for height h(t) above the hand at any time t is given below.

Q: Your are driving away from Tulsa. Your distance​ (in miles) away from Tulsa x hours after​ 12:00…

A:

Q: An artillery shell is fired from the top of a 450-foot ridge with an initial velocity of 860 feet…

A: The height is y=−16t2 + 860t + 450 a. Find the height of the shell after 6 seconds. At t = 6,…

Q: While watching a basketball game, Hanz has a dilemma on finding the peak of the ball every time a…

A: We are given that  the equation of the ball is given by : f(x)=-x2-10x+2 Let it travels x distance…

Q: The height of a small rise in a roller coaster track is modeled by f(x) = -0.07x² + 0.42x + 6.37,…

A: At the greatest height the derivative of f will be zero.

Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 2860 –…

A:

Q: 5. A football player, Peter hits a football from a height of 1 m above the ground and its height is…

A: The height of the ball is given by the expression,           ht=-3.2t2+12.8t+1 Where h is the height…

Q: A game of darts involves throwing darts at a target. James is practicing and so far has hit the…

A: Given that James hits the target 10 out of 20 times. According to the question James hits n…

Q: a waterfall has a height of 1000 feet. a pebble is thrown upward from the top of the falls with an…

A: