In order to remove water from a flooded basement, two pumps, each rated at 40 gallons per minute, are used. After half an hour, the one pump burns out, and the second pump finishes removing the water half an hour later. How many gallons of water were removed from the basement?

Q: A patient with hypokalemia has orders for potassium 60 mEq in 250 ml of d5w. The institution’s…

A: The objective of this question is to determine the rate at which the IV pump should be programmed to…

Q: . A pump extracts the oil from a well at a depth of 975 M and raises it to a reservoir located at…

A: Well depth = 975 m Reservoir location = 48 m

Q: While John was on a hike, he filled his cylinder canteen, that was 10 in. tall and 6 in. in diameter…

A: Given that the canteen is 10 in. tall and 6 in. diameter. Since John filled the canteen, the initial…

Q: How many minutes are needed to accumulate 100 of pounds of salt in the tank.

A: Find the time(minute)

Q: Peter measure his new empty swimming pool in estimate that has a volume of 3000 and 400 ft.³. He…

A: Given the total capacity of empty swimming pool = 3000+400 ft3.                             = 3400…

Q: In a mixing vat there are initially 100 litres of volatile liquid. 3 litres of fresh liquid are…

A: Solution

Q: A tank contains 3,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate…

A:

Q: You are making Roasted Garlic Soup for 125 guests. Each person is to receive a 5-fluid ounce portion…

A:

Q: If you have a bottle with 5L of a solution in it and you remove quantities of 1L, 200ml, 50ml, and…

A:

Q: A tank contains 2,000 liters of brine. Brine containing 5 N/L of salt flows in at 10 L/min, and the…

A:

Q: Task 13: Compressed natural gas has a heat energy of 923 BTU/cubic foot (ft). How much energy can…

A:

Q: A patient is to get ceftriaxone 1g ordered q8h. The ceftriaxone is dissolved in 50ml d5w and is to…

A: The objective of this question is to calculate the number of drops per minute that should be given…

Q: Qingshan runs at an average rate of 5.9 mph for 2.7 hours every morning. If he burns 43.5 kJ/min,…

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

Q: Quinidine gluconate is a liquid mixture, part medicine and part water, which is administered…

A: In one cc of liquid mixture there are 80.0 mgof quinidine gluconate. Dr. Alveret required 500.mg of…

Q: In a nuclear power plant, a 1.0 kg of water at 74.5 °C is converted into 1.0 kg of steam at 115 °C.…

A:

Q: The mass of all carbon dioxide in the atmosphere is currently 3,208 GT (gigatonnes) CO2. Last year,…

A:

Q: The physician orders 50 units of regular insulin in 250 mL of 0.9% normal saline.  If the IV pump is…

A: Given data:     The given amount of insulin in 50 units: X=250 ml. The amount of insulin received by…

Q: An order is received to infuse penicillin G 4,000,000 units in 100ml D5W q 12 h. The tubing drop…

A: The objective of this question is to calculate the number of drops per minute that should be given…

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: A patient is in hypertensive crisis and is going to be receiving hydralazine IV. The order states:…

A: The order states to administer 5 mg of hydralazine IV over 4 minutes. This means that we need to…

Q: the nurse is caring for a client who is 39 weeks gestation and has a prescription for an intravenous…

A:

Q: A patient with deep vein thrombosis has a heparin infusion at 15 mL/h. The heparin concentration is…

A: Heparin fusion at 15 mlh

Q: A tank contains 1,158 L of brine with 15kg of dissolved salt. Pure water enters the tank at a rate…

A:

Q: 5. A tank holds 300 gallons of brine solution with 40 lbs of salt. A mixture with which h…

A:

Q: an ice cube is shrinking uniformly at a rate of 8 cubic inches per hour. when the cube has a volume…

A: We are given the rate of change of volume of ice cube is shrinking uniformly at a rate of 8 cubic…

Q: A tank contains 80 gals. of pure water. A brine solution with 2 lbs/gal of salt enters at 2…

A: There is no option. Particular amount for a particular time ,which is not given.

Q: There is an order to infuse normal saline at 25 drops per minute and a tubing set that says there…

A: Given, Flow rate = 25 drops/min Drop Factor = 15 drops/ml Volume = 1 liter              = 1000 ml

Q: Mr. Goodmoore used a 60-foot sprayer to apply 11 / / 2 quarts per acre of a postemergence (burndown)…

A: a. To find out how many hours it took to apply the herbicide, we first need to calculate the total…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.