The height of an object tossed upward with the initial velocity of 120 ft./s is given the formula H= -16t^2+ 104t where H is the height in feet T is the time in seconds. find the time required for the object to return to its point of departure.

Q: A 5­foot piece of string is cut into two pieces. If one piece isx feet long, express the other…

A: Since a 5-foot string is cut into two pieces, therefore, the sum of the length of these two pieces…

Q: A plane flying to Chicago begins its descent into O’Hare International airport. Once it starts, its…

A: Consider the given equation. h=-1200t+33000 The form of the equation is y=mx+c. Where c is…

Q: From 1964 to 2014, a certain money stock measure was growing at the rate of approximately 95e0.56x…

A: Given: The growing rate of money in stock is 95e0.56x where x number of decades since 1964 To find:…

Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling…

A:

Q: A 25-year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A diver was 5 feet below sea level. He dove deeper at a rate of 5 3/8 feet per minute. What was the…

A: Given:-initial position of diver=5 feet below sea level.The rate of change of the divers…

Q: Differentiate

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Q: A 25-year old woman burns 250 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: It takes you 59 seconds to walk from the first (ground) floor of a building to the third floor. How…

A: Given- It takes 59 seconds to walk from the first (ground) floor to the third floor of the building.…

Q: What is the time needed to travel a distance of  10x2 + 3x − 4  miles if the rate is  5x + 4 mph?

A: Please refer the attached image for complete solution.

Q: A cyclist managed to ride 5 miles against the wind in the same time that it took him to 10 miles…

A: Let x = rate of speed of the cycle  He ride 5 miles against the wind and 10 miles with the wind.

Q: A 45-caliber bullet shot straight up from the surface of the moon would reach a height of s = 832t -…

A: A 45-caliber bullet shot straight up from the surface of the moon would reach a height of s = 832t -…

Q: di

A: we have  to solve differential equation

Q: A giant tortoise can travel 0.18 miles in 1hour. At this​ rate, how long would it take the tortoise…

A: Given:

Q: A diver was 5 feet below sea level. He dove deeper at a rate of 5 3/8 feet per minute. What was the…

A:

Q: The amount of simple interest earned in an account varies jointly as the amount of principal…

A: Simple interest is calculated using the formula,  Simple interest =P×R×T100 where P is the principal…

Q: The profit per acre from a grove of orange trees is given by x(190 – x) dollars, where x is the…

A:

Q: A 25-year old woman burns 300 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A cyclist managed to ride 5 miles against the wind in the same time than it took him to ride 10…

A: Let x be the speed of the cyclist and the speed of the wind is 4 mph.

Q: estimate the number of times that the sum will be 10 if the two number cubes are rolled 600 times.

A: Solution: Given that the sum is 10 The only 3 ways that two dice can sum to 10 are (4, 6), (5, 5),…

Q: A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man’s system…

A: Initial amount=40mg Per hour reduction=30% which means after each hour, medicine amount is 70% of…

Q: Yearly salary of a construction worker is $11 thousand less than 3 times that of a fast food worker

A: Consider "x" is the average yearly salary of a construction worker and "y" is the average yearly…

Q: Find two consecutive even numbers such that the sum of one-sixth the larger number and one-fourth…

A: Consider these two numbers are x and x+2

Q: A small plane leaves a coastal city at uniform speed flying into a head- wind to an island-airport…

A: Let speed of plane in still air is x km/hr and the speed of wind is y km/hr. Then relative speed…

Q: A basketball is dropped from 30 feet. Each time it hits the ground, it rebounds 45% of its previous…

A: S=a+ar+ar^2.............  =a/(1-r)

Q: An airplane travels 5096 kilometers against the wind in 7 hours and 5796 kilometers with the wind in…

A:

Q: An airplane travels 5456 kilometers against the wind in 8 hours and 6096 kilometers with the wind in…

A: We want to find rate of plane in still air and rate of wind.

Q: A motorboat traveled 36 miles downstream, with the current, in 1.5 hours. The return trip upstream,…

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Q: One end of a ladder 25 feet long slides down a vertical wall while the other end moves away from the…

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Q: The value of your property is rising by 100 000.00 php per year. If it is worth P1 500 000 today,…

A:

Q: A 25-year old woman burns 250−60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: find two positive numbers whose sum is 300 and whose product is a max

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Q: A hot air balloon begins its descent at a rate of 225 feet per minute. How long will it take for the…

A: The given data is: The hot air balloon descent at the rate of -2212 feet/minute To find how long…

Q: An airplane travels 3040 kilometers against the wind in 4 hours and 3520 kilometers with the wind in…

A: Let the rate of the plane in still air is = x km/h and the rate of the wind is=y km/h So the speed…

Q: A 25-year old woman burns 350−30t cal/hr while walking on her treadmill. Her caloric intake from…

A: To find the net decrease in calories after walking for 2 hours.

Q: The rate of the number of bags mishandled by the airlines fell to 4.98 bags per 1000 passengers in…

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Q: The  µ  is less than 10 mins per day

A: In the given scenario, a retailer randomly selected 25 employees to examine their personal phone…

Q: Complete the equation. arccos of 8 divided by square root of x squared minus 4x plus 68 equals…

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Q: A 25-year old woman burns 150 – 50t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: What is the time needed to travel a distance of  20x2 + 7x − 3 miles if the rate is 5x + 3 mph? hr

A:

Q: A 25-year old woman burns 300 – 40t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: The number of banks in the country for selected years from 1980 to 2009 is given by y =-375.7 x…

A:

Q: A 25-year old woman burns 250−50tt cal/hr while walking on her treadmill. Her caloric intake from…

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Q: A car travels at a rate of (4x2 − 2). What is the distance this car will travelin (3x − 8) hours?

A: Car travel at rate of (4x2 − 2) which means in 1 hour car travel (4x2 − 2) units

Q: Find an equation to represent the current salary after     x years of employment if the starting…

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Q: A jet travels 4074 miles against a jet stream in 7 hours and 5054 miles with the jet stream in the…

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Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

A: Note:  According to our guidelines we are supposed to do only first question. Kindly repost other…