How much time will it take for a spider crawling across the floor at .5 m/s to get 4 meters away? 8 s   8 m/s   2 s   2 m/s

Q: 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how…

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Q: A ship started at a certain port and travelled N 48° E at the rate of 32 kph. After 1.5 hours, a…

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Q: A solution containing at 2 lb of salt per gal is poured at 3 gal per min into a 300-gal tank that…

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Q: A tank contains 100 L of pure water. Brine that contains 0.1 kg of salt per liter enters the tank at…

A: Let y(t) = the amount of salt in the tank in kg. So the concentration at time t minute is then…

Q: fast is the area of the rectangle changing at the instant when the other side is 12 cm and…

A: Topic:-  application of derivatives and geometry

Q: A ladder 17 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

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Q: A tank contains 1000 liters of brine with 15 kg of dissolved salt. Pure water enters the tank at a…

A: Let x represents the amount of salt after t minutes. Given that, the initial amount of salt is 15…

Q: How much 15% solder must be added to 25% solder to produce 30.0 g of 18% solder? In a race, car 1…

A: For part 1 of question   let amount of solder be x so according to the statement  15% of x + 25% of…

Q: A sample of gas is heated with 15.4 kJ of energy while simultaneously expanding to 28.3 L from 2.3 L…

A: We know formula for work done -  w = -p∆v

Q: . A conical paper cup 3 inches across the top and 4 inches deep is full of water. The cup springs a…

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Q: A tank contains 1000L of brine with 16kg of dissolved salt. Pure water enters the tank at a rate of…

A: Given: A tank contains 1000L of brine with 16kg of dissolved salt. The pure water enters the tank at…

Q: (c) Bags are filled with bird food at a rate of 420 grams per second. How many 20 kg bags can be…

A: Given : Rate 420 gram per second               No of 20 kg bags filled in 4 hours =?

Q: is pumped into the tank at the rate of 5 L/s and the well-stilled mixture fl me rate. How long will…

A: Please refer to the image below

Q: A tank contains 1000 liters (L) of a solution consisting of 140 kg of salt dissolved in water. Pure…

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Q: The volume of a cube decreases at a rate of 10 m3/s. Find the rate at which the side of the cube…

A: We have to find rate  of change of side of cube .dV/dt  is negative beacuse it is…

Q: A 20 m tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of…

A: In this question, we find the amount of solt when the takl half full. given that  Initial amount of…

Q: • A tank contains 968 L of brine with 15kg of dissolved salt. Pure water enters the tank at a rate…

A: Solution : We have given that a tank contains 968 L of brine with 15kg of dissolved salt. Pure…

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: 1. Water is poured into a conical tank 6 m across the top and 8m deep at the rate of 10 How fast is…

A: To find: The rate of water level rising when water in the tank is 5 m deep. Formula used: The volume…

Q: a fisherman on a wharf 1.2 meters above the level of still water is pulling a rope tied to a boat at…

A: topic - application of derivatives

Q: 9. Water flow from the bottom of a storage tank at a rate of r(t) = 100 – 4t liters per minute. Find…

A: We have to find the amount of water after 5 minutes

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: The length of a rectangle is increasing at a rate of 11 cm/s and its width is increasing at a rate…

A: The area of a rectangle is the product of its length and width, A=l×w, where l is the length of the…

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

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Q: A 25 ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

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Q: Initially a water tank contains 100 A. Water begins to drain from the tank at the rate of 30e r(t)…

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Q: 2. A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate…

A: Given a 10-ft ladder is leaning against the wall Let BC be the ladder, Let AB=h and AC=b Then…

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

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Q: 2. A pulley 4 meters from the ground is used to lift a 100 kg block. If the rate at which the block…

A: Given: The distance between pulley and the ground s1 = 4 meter The velocity of the block getting…

Q: A tank contains 150 L of pure water. Brine that contains 0.2 kg of salt per liter enters the tank at…

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Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

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Q: A tank contains 100 gallons of pure water. A brine solution with 2 Ib/gal of salt enters at 3…

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Q: ladder away

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

A: As per our guidelines we are supposed to answer only one question.*Kindly repost other question as…

Q: A 17 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A:

Q: A rectangle has one side of 6 cm. How fast is the area of the rectangle changing at the instant when…

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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: The air in a small room 12 ft by 8 ft by 8 ft is 5% carbon monoxide. Starting at t = 0, fresh air…

A: Let v(t) be the volume of CO in the room at time t, and let V be the total volume of the room.The…

Q: an object is moving in than positive x direction slowing at a rate of 2.93 m/s^2. After moving…

A: To find the initial speed

Q: A patient's blood is traveling at a rate of 18cm^3/sec while conveying a medicine into the liver and…

A: Given information:  v.in = volumetric flow in the liver  = 18cm3secv.out= volumetric flow out the…

Q: 28.lf a flash of lightning is observed in a cloud 2640 m away and the speed of sound in air is 330…

A: Given that: Distance between the observer and cloud=2640 mSpeed of sound=330 m/s

Q: 2. The volume of a cube decreases at a rate of 10m/sec. Find the rate at which the side of the cube…

A: dVdt=10m3/min, side=2mFormula of volumeV= side3

Q: · A tank contains 968 L of brine with 15kg of dissolved salt. Pure water enters the tank at a rate…

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Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

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Q: Water flows into an empty reservoir at a rate of 3000 + 20t L per hour(t is in hours). What is the…

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Q: 13-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of 4…

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Q: A tank contains 1000 L of brine with 15 kg of dissolvedsalt. Pure water enters the tank at a rate of…

A: Given data: A tank contains 1000 L of brine with 15 kg of dissolved salt. Consider x(t) be the…

Q: A 30 m³ tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of…

A: Volume of the tank is 30 m3 The tank is full of brine with 40 kg of dissolved salt. Pure water…

Q: Water flows into a tank at a rate of r (t) = 140 – 7t liters per minute for 0 <t< 20minutes.

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Q: A tank containing 100 gallons of brine made by dissolving 40 lbs of salt in water. Pure water runs…

A: Pure water in flow rate = 5 galmin