When an object is allowed to fall freely near the  surface of the earth, the gravitational pull is such that the  object falls 16 ft in the first second, 48 ft in the next second,  80 ft in the next second, and so on. (a) Find the total distance a ball falls in 6 s. (b) Find a formula for the total distance a ball falls in n  seconds.

Q: The amount (by weight) of gold, silver, and lead in three alloys of these metals are in the ratios:…

A: We will solve the problem

Q: ughly combined solution is then pumped out at a rate of 6 litres per minute. Find the expression for…

A: Given: - 300A tank with a capacity of 300 liters contains 150 liters of plain water at first. Brine…

Q: A spring having a modulus of 8.8 N/mm has a natural length of 250 mm. Work equal to 90,000 N-mm is…

A:

Q: A utility company charges a base rate for water usage of $19.50 per month, plus $4.58 for every…

A: A utility company charges a base rate for water usage of $19.50 per month, plus $4.58 for every…

Q: Series{ 1/n } from 1 to infinity find how many terms are required for the sum to exceed 100

A:

Q: A barrel contained 9 e more water than a rectangular tank with a base of 25 cm by 20 cm. When 3 e of…

A:

Q: A bacteria culture doubles in size every 80 hours.  A. Find the r for this population (rounds to…

A: Part a) To the value of r fo the population, in the formula A=A0ert In this formula A0 is the…

Q: 1. A Meralco worker left a ladder 5 m long leaning against a concrete vertical post. If the bottom…

A: To find: The rate by which top of ladder sliding down when the bottom is 4 meter from the base of…

Q: 22. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a…

A:

Q: A ladder of length 15 meters is leaning against the side of a building. The foot of the ladder is…

A:

Q: 10. A boy is flying a kite on a string. The kite is 120 ft above the ground and the wind is blowing…

A:

Q: car is being driven at the rate of 40ft/sec when the brakes are applied. The car decelerates at a…

A: Given, Speed of the car = 40ft/sec Deceleration of the car = 5 ft/sec2

Q: A ball is dropped from a height of 80 ft. The  elasticity of this ball is such that it rebounds…

A: Given: the height from which the ball is dropped is 80 ft. the elasticity of the ball is such that…

Q: 4.00 C of charge passes through a length of wire in exactly 4 minutes. What is the current in that…

A:

Q: Three different people weigh a standard mass of 2.00 g on the same balance. Each person obtains a…

A: A collection of results is said to be precise if the observed results have insignificant difference…

Q: 7. Two sides of a triangle are 15 and 20 ft long, respectively. a) How fast is the third side…

A: This question is belongs to the application of derivative in which we have to find the third side…

Q: A cylindrical pool has a height of 8 feet and radius of 6 feet. How fast is the volume of the water…

A: given radius r=6 ft height h=8 ft and dhdt= 2 inches per minute to find  rate of change of volume…

Q: Find an explicit formula for the beetle population after n weeks. Pn = After how many weeks will the…

A:

Q: 1 A barge, whose deck is 10 ft below the level of a dock, is being drawn in by means of a cable…

A: Please refer to the image below

Q: A Trapezoidal trough is 10 ft long, 4 f wide at the top and 2 ft wide at the bottom and 2 ft deep.…

A: Given: A Trapezoidal trough is 10 ft long, 4 f wide at the top and 2 ft wide at the bottom and 2 ft…

Q: A patient takes $150 \mathrm{mg}$ of a drug at the same time every day. Just before each tablet is…

A:

Q: A Ferris wheel is 35 meters in diameter and boarded from a platform that is 4 meters above the…

A:

Q: 11. Initially, a pendulum swings through an arc of 2 feet. On each successive swing, the length of…

A:

Q: boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 8,500 cm³/min at the same time that…

A: Water is leaking out of an inverted conical tank at a rate of 8,500 cm3/min. Height of the tank, h=6…

Q: A pot of boiling soup with an internal temperature of  105∘F was taken off the stove to cool in a…

A:

Q: A rectangular cube with these dimensions 1.25 ft x 0.25 ft x 12.00 ft is full of water. It is…

A:

Q: 1. A 20 ft ladder is leaning against the wall. The bottom of the ladder is pulled along the level…

A:

Q: A culture of bacteria has an initial population of 640 bacteria and doubles every 2 hours. Using the…

A: Given that a culture of bacteria has an initial population of 640 bacteriaand doubles every 2…

Q: 52. The initial swing (one way) of a pendulum makes an arc of 2 ft. Each swing (one way) thereafter…

A: For geometric series Sum of infinity=a/(1-r) r is the common ratio

Q: Water is leaking out of an inverted conical tank at a rate of 7,500 cm³/min at the same time that…

A:

Q: 18. Aparticle traveled a distance of 6.0 x 10 meters at a rate of 3.0 * 10" meters per second. How…

A:

Q: A tank contains 400 litres of brine. Twelve litres of brine, each containing 2.5 N of dissolved…

A: Given : A tank contains 400 litres of brine. Twelve litres of brine, each containing 2.5 N of…

Q: A ball is dropped from a height of 9 ft. The elasticity of the ball is such that it always bounces…

A:

Q: a) An undamped system vibrates with an amplitude 100 mm in the first oscillation and 80% of its…

A:

Q: A spherical balloon is inflating with helium at a rate of 80 pie ft^3 /min. How fast is the balloons…

A:

Q: (x+3)" is n 4n e of the power series n=0 Page Page 1 of 42

A:

Q: Water is leaking out of an inverted conical tank at a rate of 7,000 cm³/min at the same time that…

A: We have to find rate at which water is being pumped into the tank. Given that, the height of the…

Q: Chris completes one lap of a go-cart track every 40 s. D’Arcy completes one lap of the same track…

A: The LCM of time taken by both of them will be the time when they will cross the starting line…

Q: At a certain instant, the dimensions of a rectangle are 10 ft and 14 ft, and they are in railway at…

A: Let  at a instant 'x' be the length of rectangle and 'y' be the width of rectangle.

Q: (a) Let t be the time (in hours) since the beginning of the experiment, and let y be the amount of…

A:

Q: Find the sum of the series > 'n + 1 'n + 2 n= 1 The sum of the series is (Type an exact answer,…

A:

Q: 2. A hemisphere of radius 12 miches and base up is full of water that Funs out thrdugh an orifice of…

A: Given:  A hemisphere tank of radius (R) = 12 in =0.348 meter Area of orifice (a) = 1 in2 =0.00064516…

Q: A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes.…

A:

Q: A cylindrical pool has a height of 8 feet and radius of 6 feet. How fast is the volume of the water…

A:

Q: A balloon is slowly deflating -- during any one-hour period, it loses 0.8% of the helium that is…

A: Given, The volume of the balloon was originally 5280 cc. It loses 0.8% of the helium that is began…

Q: A moving sidewalk at an airport moves at a rate of 1.6​ft/sec. Walking on the moving​ sidewalk, a…

A:

Q: A Ferris wheel is 40 meters in diameter and boarded from a platform that is 1 meters above the…

A: The diameter of the Ferris wheel is, d=40m Hence, the radius of the Ferris wheel is, r=20m Note…

Q: A 130 gallon tank initially contains 15 lbs salt dissolved in 70 gallons of water. Brine containing…

A:

Q: 1. Two sides of a triangle are 15 and 20 ft long, respectively. a) How fast is the third side…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.