Example 1. Before a football game, a coin toss is used to determine which team will kick off. The height h (in feet) of a coin above the ground t seconds after being flipped up into the air is given by h = -16t2 + 70t + 9. How long will the coin be in the air? t = sec

Q: Wind chill is the temperature it actually feels like when wind accompanies cold temperatures. When…

A: Given query is to compute the wind chill for a temperature of 23 degrees Fahrenheit and a wind speed…

Q: O 8. A company's profit is described by the formula P(x) = - 5x +600x + 15, 000 , where x is the…

A: Explained below

Q: Part I. Assume a, b, c and d are arbitrary constants, find a DE which is a general solution of the…

A: (Note: We are entitled to solve only one question at a time) Given: x-a2+y-b2=c2 To Find:…

Q: 3. Marie invested $800 in an account that pays 10% simple interest per year. The equation…

A: Solution Given Marie invested $800 in an account that pays 10% simple interest per year . The…

Q: BWhen a baseball player hits a baseball into the air, the height of the ball at t seconds after the…

A:

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

A:

Q: acey is standing on top of one of the tallest buildings in her town. She stands at the edge of the…

A: Given Information: Acey is standing at the top of a building. She drops a basketball fro, the edge…

Q: A rocket is launched from a platform. It's height (in meters), x seconds after the launch is modeled…

A:

Q: Studies suggest that people with a high sense of humor tolerate negative events better than people…

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Q: Finance The amount A in a bank account after t years is given by the equation 6t = A.(1+", where A,…

A:

Q: Agriculture The number of farms in Iowa (in thousands) can be modeled by N(t) = 119(0.987)', where t…

A: Since N(t) is the number of farms in thousands, substitute N(t)=80 in the equation N(t)=119(0.987)t…

Q: - Kadeem and Quinn both drive 25 miles, Kadeem drives at a constant speed of 50 miles an hour. Quinn…

A:

Q: 2. A squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8…

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Q: Baseball toss A baseball is thrown straight upward with an initial speed of 64 ft/sec. The number of…

A: ⇒4t2-16t+48=0Given : An initial speed of baseball is 64 ft/sec. The number of feet s above the…

Q: 12. During quarantine period, Richard decided to plant a tomato in their backyard. He predicted that…

A: 12. To find the maximum tomatoes, maximize the function given and check at which value of x the…

Q: 口 13. Choose the correct answer. A leaf fell from a tree. The path of the leaf can be modeled by the…

A:

Q: A professional stunt performer at a theme park dives off a tower, which is 21 m high, into water…

A:

Q: 12. During quarantine period, Richard decided to plant a tomato in their backyard. He predicted that…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: A ball is dropped from a height of 72 feet, its position at time t is s(t) = -4t2 + 72. find the…

A:

Q: Speeding bullet A 45-caliber bullet shot straight up from the surface of the moon would reach a…

A: Given a 45-caliber bullet shot straight up from the surface of the moon would reach a height of s =…

Q: #1 The population of a strain of bacteria doubles every 20 minutes. Supposed there are 750 bacteria…

A: Solve for how many bacterial are present after 4 hours?

Q: The equation I= Prt gives the amount of interest a bank account receives after a certain period. An…

A: Principal amount (P)=$6000 Rate of interest® =7% =7/100 Interest (I) =$33.60 Let, time in years = t

Q: An Indy race car driver makes a pit stop at the beginning of a lap.The time t in seconds that it…

A: Given, The time t inseconds that it takes the driver to complete the lap, including the pit stop,…

Q: A football is kicked vertically upward from a height of 2 feet with an initial speed of 70 feet per…

A: Given that Equation for the height of the ball h=2+70t-16t^2 Where t=seconds after it was kicked We…

Q: Grade Inflation. The bar graph shows the percentage of U.S. college freshmen with an average grade…

A: p=4x5+25 To find the percentage of U.S. college freshmen had an average grade of A in high school in…

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

A: When ball hits the ground, d=0

Q: Taylor and Miranda are performing on a magic dimension-changing stage that is 20 yards long by 15…

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Q: A car rental agency charges $500 per week plus $0.20 per mile to rent a car. a) The total cost, C,…

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Q: 0. A group of engineering students constructed a potato cannon, The height, h meters, of a potato, t…

A: using basic linear algebra and calculus we solve this

Q: Real Estate Inflation During a 10-year period ofconstant inflation, the value of a $200,000…

A: Given:

Q: A ball is thrown into the air from the top of a building. The height, h(t), of the ball above the…

A: Here I am attaching image so that you understand each and every step.

Q: Question 2 The revenue from the sale of a product is given by R - x3 - 5x? + 250x When 10 units are…

A: Solve for

Q: 15) When an object is dropped from a height of 314 feet, its height can be found using the equation.…

A: Given:  When an object is dropped form a height of 314 feet, its height in feet can be found using…

Q: A diver jumps from a diving platform her height h in meters that she is above the water after t…

A:

Q: Upload your work and answer to the following question: The formula for throwing a baseball in the…

A: ht=-16t2+12t+40

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: An endagered species is the subject of a protection program.  The Formula below models the species…

A: We are given that the formula P= -10x2+235x+2200 models the species population, P, after x years of…

Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

A: Let's solve by using newton's law of cooling.

Q: Part 4:  Hitting the ball into the parking lot   As Juan continued his hitting practice, one of the…

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Q: 5,043 SecondS 13. The height h(t) in feet of an object released from a cannon with an initial…

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Q: My bank balance can be modeled by B(t) = 5,000 - 200t dollars, where t is time in days since I…

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Q: Part 3: Hitting the baseball over the lights Meanwhile at the ballpark Juan was practicing his…

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Q: Solve this word problem. Amir stands on a balcony and throws a ball to his dog, who is at ground…

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Q: Part 1) According to one mathematical model, the average life expenctancy for American men born in…

A: 1). Let the life expectancy be y.Then

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: Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an…

A: Solve the following

Q: 8) A population of wolves in a county is represented by the equation P(t) = 80(0.98)', where t is…

A:

Q: 39. Physics The height h, in feet, of a ball above the groundt seconds after being thrown upward…

A:

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

A:

Q: 1. A ball is thrown from the top of a building and its height, in feet, after t seconds is described…

A: Use the first derivative to find the maximum value of height and time at that moment.

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.