After taking a certain antibiotic, the amount of amoxicillin A(), in milligrams, remaining in the patient's system t hr after taking 1,000 mg of amoxicillin is A(t) = 1,000e-0.49t How much amoxicillin is in the patient's system 3 hr after taking the medication? Round to the nearest tenth of a mg.

Q: A model rocket is launched with an initial velocity of 230 ft/s. The height, h, in feet, of the…

A: A model rocket is launched with an initial velocity of 230 ft/sand height, h, in feet, of the rocket…

Q: Wind resistance is jointly proportional to velocity and surface area of the object. If an object is…

A: First of all, observe the relationship between the wind resistance to velocity and wind resistance…

Q: 350 mg of aspirin is taken by a patient who has a severe headache due to a migraine. Suppose that…

A: Solution:      Given              350mg of aspirin is taken,                 half life =15 min    we…

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Q: An object's velocity after t seconds is v(t) = 36 – 2t feet per second. (a) How many seconds does it…

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Q: You invest $2500 in an account at interest rate r, compounded continuously. Find the time required…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: An object's velocity after t seconds is v(t) = 38 – 2t feet per second. (a) How many seconds does it…

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Q: To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared)…

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Q: PMI is based on the amount of money you borrow. Each year, your PMI cost is 0.86% of the amount you…

A: Amount to be borrowed = $290,000 PMI is 0.86% of the total amount borrowed

Q: - The formula for Body Mass Index is BMI x 703, where w is a person's weight (in pounds) and h is a…

A:

Q: Annie purchased a car for $10,000. The car's value depreciates at a rate of 12% each year. Which…

A: Use depreciation formula

Q: mi faster than the other. If the two cyclists are 138 miles apart h Two cyclists start at the same…

A: Ratio of distance and time gives the speed.

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: Terrance hopes to earn $600 in interest in 4.9 years time from $30,000 that he has available to…

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Q: When a skydiver jumps from an airplane, her downward velocity, in feet per second, before she opens…

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Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t)=3…

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Q: Jose hopes to earn $700 in interest in 4.5 years time from \$35,000 that he has available to Invest.…

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Q: Population of Kenya Based on present birth and death rates, the population of Kenya is expected to…

A: N=30.7e0.022t When t=0, we get N=30.7e0.0220=30.71=30.7

Q: 10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an…

A: From Pythagoras theorem  for a right angle triangle with base a, height b, hypotenuse c we have,…

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

A:

Q: You invest $2100 in an account at interest rate r, compounded continuously. Find the time required…

A: Given that: Invested money, P=$2100 and rate of interest, r=0.065

Q: An object's velocity after t seconds is v(t) = 40 – 2t feet per second. (a) How many seconds does it…

A: To find the distance traveled by the object over a certain amount of time, we need an equation for…

Q: A model rocket is launched with an initial velocity of 240 ft/s. The height ,h, in feet, of the…

A:

Q: Lunar Gravity On the moon, the acceleration of a free-falling object is a(t) = -1.6 meters per…

A: Given :           The acceleration of a free falling object is a(t) = -1.6 meters per second per…

Q: The concentration C of a drug in a patient's bloodstream t hours after injection is given by 40 · t…

A:

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…

Q: Formula: CeNkt N – x 2) 3 students in a dormitory of 100 spread a rumor about the suspension of…

A: Given formula is x/(N-x) = ceNkt x is the number of students to hear the rumor. We have find the…

Q: The average annual salary, S, in dollars, of an employees at a particular job in a manufacturing S=…

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Q: An object is dropped from a tower, 180 ft above the ground. The object's height above ground t sec…

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Q: A saturated solution known to contain 50 g of solute per 100 grams of solvent. If 30 g of the solute…

A: The curve show that there is exponential decay. A=A0e-kt------->>>eqn(1) Now 10gm is…

Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 14 m/s…

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Q: An object's velocity after t seconds is v(t) = 32 – 2t feet per second. - (a) How many seconds does…

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Q: a) A tank contains 500 gallons of water Brine containing 2 lb of salt per gallon is pumped nto the…

A: Given: Concentration of salt,=2lb/gal Input of brine=5gal/min Output rate of brine=5gal/min To find…

Q: Nicholas hopes to earn $600 in interest in 3.3 years time from $24,000 that he has available to…

A:

Q: Height of a Baseball A baseball is dropped from a stadium seat that is 75 feet above the ground. Its…

A: Given equation is: st=75-16t2 We have to find the time when the baseball will strike the ground.

Q: A model rocket is launched with an initial velocity of 190 ft/s. The height, h, in feet, of the…

A:

Q: Distance equals rate times time, d = rt. Find the distance Tom travels if he is moving at a rate of…

A: Given Data: The magnitude of rate is: r=55 mi/h The time of travel is: t=3.5 h The distance…

Q: 5, 000 The average cost per unit is ē = + 10+ 0.1q, where is the number of units produced.

A: The average cost per unit is given by c¯ = 5000q+10+0.1q To evaluate : The marginal cost when q=20

Q: The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given…

A: Daily cost for a manufacturer to produce x electronic video components is given by:…

Q: th edistanc ena object fallsis directly proportional to the square of the time t of the fall.if…

A: We know Where ‘d’ is distance, ‘t’ is time and k is constant.

Q: An object's velocity after t seconds is v(t) = 26 – 2t feet per second. (a) How many seconds does it…

A: The velocity function is given as v(t)=26-2t feet per second.

Q: PMI is based on the amount of money you borrow. Each year, your PMI cost is 0.86% of the amount you…

A: Given- The borrowed amount= $290,000,00. To Find- The PMI cost of the borrowed amount, if PMI cost=…

Q: A 500 gallon tank initially contains 50 gallons of brine solution in which 28 pounds of salt have…

A:

Q: Sky Diving The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1 – e-0). After…

A: v(t)=801-e-0.2t

Q: A water tank drains at a constant rate. It contains 930 litres of water 3.5 minutes after it started…

A: Given : Tanks contains 930 litres of water Time for the tank to empty = 50 minutes

Q: Sky Diving The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1 - e-0.2).…

A: Given velocity equation is: vt=801-e-0.2t We have to find the time when the velocity becomes 70…

Q: Caffeine leaves the body at a rate of 15.6% each hour. Your first cup of coffee in the morning has…

A: Given caffeine leaves the body at a rate of 15.6% each hour. Quantity of caffeine in body after t…

Q: At a time t hours after taking a tablet, the rate at which a drug is being eliminated is r(t) =…

A: