A bullet with an initial muzzle velocity of 342 m/s is fired upward from the ground. How long will it take for the bullet to return to the ground? Assume there is no air resistance. Note g= 9.81 m/s2 Round to two decimal places. time = Number seconds

Q: Assume the acceleration of the object is a(t) = -32 feet per second per second. (Neglect air…

A: Given acceleration a = -32

Q: # 3) Each side of a square is increasing at a rate of 6cm/s. At what rate is the area of the square…

A:

Q: A bomb is dropped from a helicopter hovering at an altitude of 1076 feet above the ground. From the…

A: From the given information, the value of x=500 and x0=1076 and the value of g=32fts2. Substitute…

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 2t milliliters (mL) per…

A:

Q: An oral medication is absorbed into the bloodstream at the rate of 4e-0.04 milligrams per minute,…

A:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

A:

Q: Each side of square is increasing at rate of 4 cm/s. At what rate is the area of the square…

A:

Q: The amount of a radioactive isotope present at any time (t in years) is given by the equation A (t)…

A: Given, A(t)=250 e-0.045t

Q: Assume gravity is 32 ft/s? and no external forces (ex: wind resistance). If you Jump off a 34 ft…

A:

Q: A rock is thrown upward with a velocity of 2727 meters per second from the top of a 2323 meter high…

A:

Q: A robotic machine fills containers with an acid solution at the rate of 80 + 4t milliliters (mL) per…

A: Solution ) given function = 80 + 4t When t=0 or when no solution put into a container f(0) = 80 +…

Q: The volume of a cube decreases at a rate of 0.75 ft3 of the side length when the side lengths are 15…

A: Given the volume of a cube decrease at a rate of 0.75 ft3/min. To find the rate at which the side…

Q: A certain drug breaks down in the human body at a rate of 12% per hour. The initial amount of the…

A:

Q: A 1.85-kg steel ball is dropped from a plane to an ocean. If the velocity of the ball just before…

A: Given:-velocity of ball just before reaching (vi) =2.7 m/smass of ball (m)=1.85 kgTo find: velocity…

Q: A rocket can rise to a height of h(t) = + 0.6t2 feet in t seconds. Find its velocity and…

A:

Q: 800mL mL of a dextrose solution is to be infused at 45 mL/h starting at 1600 hours. At what time…

A: The problem can be solved by using the ratios. The rate of the infusion is given in ml/h. The rate…

Q: What constant acceleration is required to increase the speed of a car from 22 mi/h to 51 mi/h in 2…

A: Initial velocity is 22 miles per hour and the final velocity is 51 miles per hour and the time is 2…

Q: 3. Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Area of the square is increasing at a rate of  48cm2/sec.

Q: An object is dropped from a 64-foot tower and reaches the ground in 2 seconds. What would the…

A:

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 3t milliliters (mL) per…

A:

Q: The sand in the top part of this timer is in the shape of a cone. The radius of that cone is 1.8…

A:

Q: art?

A: Given that: Half - life of Palladium - 100 = 4 days. After 16 days a sample of Palladium - 100 has…

Q: A Sire starts in the levening. By midnight, 135 acres have already burned. From midnight on, the…

A:

Q: A pole that is 3653 feet long is leaning against a brick wall. The bottom of the pole is getting…

A:

Q: Compare the amount of earth movement (energy released) by earthquakes of magnitudes 8 and 9. (Round…

A: An earthquake of magnitude M release energy E is given by log10E=4.4+1.5M

Q: A pole that is 5625 feet long is leaning against a building. The bottom of the pole is moving away…

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Q: 900mL mL of a dextrose solution is to be infused at 45 mL/h starting at 1600 hours. At what time…

A: From the question, we know per hour 45 ml of Dextrose solution is infused.

Q: The rate of active element carbon 14 has a 1/2 life of 5750 years a scientist determined that the…

A: Given: carbon 14 has a 1/2 life of 5750 years  To find : how old were the bones at the time they…

Q: 01/ Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

A: The volume of the Cone is given as v=13πr2h Let any general time the height is h and radius of…

Q: Between 1 seconds and 9 seconds the ball's average velocity is If necessary, round the answer to two…

A:

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Topic:- calculus

Q: A 2.63-kg steel ball is dropped from a plane to an ocean. If the velocity of the ball just before…

A:

Q: An object is dropped from the top of a tower which is 178 meters high. What is the velocity of the…

A:

Q: The ratio of carbon 14 to carbon 12 in a piece of wood discovered in a cave is R= 1/8^14. Estimate…

A:

Q: Consider an aquarium with a 75 gallon tank.  If the aquarium has a water pump that pumps water at a…

A:

Q: The population of two different species are given by P1 P1 = 3 ln(t) + 10 || and P2. , where t is…

A: The population of two different species are given by P1=3lnt+10 And P2=6lnt+2 Where, t measured in…

Q: A rocket rising from the ground has a velocity of v(t)=2,000 te-t/180 ft/s, after t seconds. How far…

A: Given thatThe velocity of the rocket rising from the ground is

Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

A:

Q: A vehicle purchased for $29800 depreciates at a constant rate of 8%. Determine the approximate value…

A: cost price of vehicle=$29800 Constant rate of depreciates =8% per year We have to find the…

Q: The half-life of cesium-137 is 30 years. Suppose we have a 190-mg sample. (a) Find the mass that…

A: (a) Consider the exponential function for half-life. Assume A(t) = amount of the cesium at time t.…

Q: A typical glass of wine contains about 22 grams of alcohol. Consider a 109-pound woman, with…

A: one glass of wine contains 22 grams of alcohol and she drinks 2 glasses of wine so, total alcohol…

Q: (a) Find a formula for the amount of yeast in the vat as a func- tion of t (measured in hours). (b)…

A: Formula for the ammount of yeast in tha vat as function of t:YF = Yi(2)t4 YF→Count of yeast after t…

Q: Solve for x accurate to three decimal places. ex = 12

A: Given: ex=12.

Q: A painting purchased in 1998 for $75,000 is estimated to be worth v(t) = 75,000 e"4 dollars after t…

A: Differential equations are those equations of mathematics that involve dependent variables ,…

Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

A:

Q: An impulse of -9 N*sec is applied during 3 seconds to a 2Kg mass, the acceleration is:

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Q: What constant acceleration is required to increase the speed of a car from 29 mi/h to 52 mi/h in 2…

A:

Q: A type of radioactive element has a daily radioactive decay rate of 0.5%. If 14 pounds of this…

A:

Q: A particle that moves along a straight line has velocity v(t) meters per second after t seconds. How…

A:

Q: The base of a triangle increases at a rate of 3 cm per minute while the height of the triangle…

A: topic-area

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.