A stone is thrown downward with a velocity of 88 feet per second (60 miles per hour) from a bridge that is 125 feet above a river, as illustrated in the figure. (a) Write a formula s(t) that models the height of the stone after t seconds.

Q: e height of an object tossed upward with an initial velocity of 104 feet per second is given by the…

A: Explanation of the answer as follows:

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Q: Formula: ceNkt N - x 7) Suppose false news spreads in a city of 150,000 in a day. Within a week,…

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Q: C2. A dynamite blast blows a heavy rock straight up in the air with a launch velocity of 192…

A: Given,  s = 192t-16t2 Now,  v(t) = s' (t) = -32 t + 191   a(t) = v' (t) = -32     a)   Setting v(t)…

Q: An object is dropped from a tower, 1024 ft above the ground. The object's height above ground x…

A: This question can be solved by equating the given equation to zero to obtain the time and then using…

Q: Formula: ceNkt N – x 7) Suppose false news spreads in a city of 150,000 in a day. Within a week,…

A: N : Total number of residents x : number of residents who heard the news k : proportionality…

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A: # given rate of growth of plants =2.6*e^-7m/s  to find expected length of plants after 30 days?

Q: Comparing velocities A stone is thrown vertically into the air atan initial velocity of 96 ft/s. On…

A: We know that, the maximum height achieved by the particle is when velocity at an instant ( achieving…

Q: Chester hopes to earn $1200 in interest in 2.9 years time from $24,000 that he has available to…

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Q: ) The formula for the amount of money in an account after int arned is A = P + Prt, where A is the…

A: 4) The formula for the amount of money in an account after interest has been earned is A=p+prt…

Q: 6. A diver is standing on a platform 24 ft above the pool. He jumps from the platform with an…

A: We have, h = - 16t^2 + vt + s; whereh = height after t secondst = time in secondsv = upward…

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A: Draw a schematic diagram of given figure.

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Q: e4 ln(2)  Find the exact value

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A: Given data: The formula for models the population of Hungary in 2016 is given by A=10e-0.003t…

Q: World population (in billions) grows roughly according to the formula  P = 2.5e0.018t   where t is…

A:

Q: in 2018 the population of a town was 15,564 and growing at the constant rate of 58 people per year.…

A: The given population of the town in 2018 is 15,564 and it grows at the constant rate of 58 people…

Q: Smith bungee jumps off of a bridge along the arc h(x) = Sx – 30x + 100 where h is his height above…

A: We will find out the required value.

Q: The growth in population of a city can be seen using the formula p(t) = 2148e0.008t, where t is the…

A: Nothing

Q: A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is…

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Q: Comparing velocities A stone is thrown vertically into the air atan initial velocity of 96 ft/s. On…

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Q: Chester hopes to earn $1200in interest in 2.5 years time from $⁢60,000 that he has available to…

A: Given: pv=60,000  dollarsfv=60,000+1200=61,200  dollarsn=2.5×12=30

Q: The formula A=134e^0.032t models the population of a particular city, in thousands, t years after…

A:

Q: You invest $1500 in an account at an interest rate r, compounded continuously. Find the time…

A: To Determine: You invest $1500 in an account at an interest rate r, compounded continuously. Find…

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A: topic - differential equations

Q: 1) A child at a swimming pool jumps off a 12-foot platform into the pool. The child's height in feet…

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Q: A 75-gallon tank initially contains 75 gallons of brine with a concentration of 2 pounds of salt per…

A: A

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Q: 13. An arrow is shot vertically upward at a rate of 220 feet per second. Use the projectile formula…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: n(t)=78e0.015t

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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.