A small hole in a rubberized container allows 20 of the air escape each second. What percent of the air will remain in the container 6 seconds after opening the hole?

Q: A new energy drink advertises 106 calories for 7oz. How many calories are in 21oz of the drink?

A: Given that a new energy drink advertises 106 calories for 7oz That is for 7oz energy drink…

Q: During each hour, an exhaust fan removes 15.0% of carbon dioxide present in the air in a room at the…

A:

Q: An asteroid hit the Earth and created a huge crater. Engineers and scientists have measured around…

A: To find affected crater impact we need to find the area regarding this.

Q: It is said that a person spend 1/10 of his life in childhood, 1/20 in adolescence, and the rest in…

A:

Q: What is the magnitude in the Richter scale of an earthquake that released 10 joules of energy? (5

A: Direct use the formula of Richter Scale and substitute the given values then simplify.

Q: During each hour, an exhaust fan removes 15.0% of the carbon dioxide present in the air in a room at…

A: Solution :  Given that  Decreasing rate  r = 15.0% = 15/100 = 0.15  Number of hours  n = 10.0 hours

Q: find the unite rate 3.75 pints out of every 5 galons

A: Given,3.75 pints out of every 5 gallons

Q: Assume that in 2015, the average American (18 and over) ate 5.46 lbs. of food per day. Assuming the…

A:

Q: Red is observing an abnormal unit of 14 pins per 2 miles. He wants to know if this is the same as…

A: Solution :-              Red is observing an abnormal unit of 14 pins per2miles. He wants to know if…

Q: mbers .numbered from 1 to 80 per. er than 24. zisible of 6

A: Given : There are 80 numbers numbered from 1 to 80. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,…

Q: The average pH of ocean surface waters has fallen by about 0.1 units, from 8.2 to 8.1, since the…

A: We will use concept of concentration of hydrogen ion to solve this.

Q: In 2015, there were approximately 3,998,000 million births in the United States. Find the birth rate…

A: Given,The number of births in U.S (in 2015) = 3998000Total population of U.S = 321 millions

Q: A certain culture of bacteria triples in amount every day. If there are 100 bacteria present during…

A:

Q: A printer prints 75 pages in 5 minutes. At the samerate, how many pages does the printer print in 7…

A:

Q: A vacuum pump removes one-half of the air in a container with each stroke. After 10 strokes, what…

A: Given that, the vacuum removes one-half of the air in a container with each stroke. Assume that the…

Q: Each edge of a cube is increased by 50% . Find the percentage increase in the surface area of the…

A:

Q: our pipes are required to fill a tank in 45 minutes. How long will it take if 6 pipes of the same…

A: Four pipes are required to fill a tank in 45 minutes. How long it take if 6 pipes of the same type…

Q: A 25-year-old woman burns 600t cal/hr while walking on her treadmill. How many calories are burned…

A: Given  Amount of calories burn per hour = 600t

Q: what percentof the air will remain in the container,6 seconds after opening the bottle?

A:

Q: In two days, 48,000 gallons of oil gushed out of a well. At what rate did the oil flow from the…

A: 48,000  gallons of oil is gushed out from a well in two days. Calculate the total number of minutes…

Q: A sample of radioactive material disintegrates from 6 to 5 grams in 150 days. After how many days…

A:

Q: A goldsmith mixes 10oz of a 35% gold alloy with 20oz of a 17% gold alloy. What is the percent…

A: We have to find concentration of the resulting alloy if a goldsmith mixes 10oz of a 35% gold alloy…

Q: Determine how much water is required to dilute 20 liters of a solution that is 15% dye so that a 5%…

A: let x= amount of water required We have to find the x value from the procedure.

Q: The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of Question…

A: Given: Half life of Krypton-91 = 10 seconds Initial amount of Krypton-91 = 16 gm We have to find how…

Q: A swimming pool is 20 ft wide, 40 ft long, 6. 12 1 If the pool is being filled at a rate of 0.7 ft…

A: Given The length, width, and deep of the pool is 40 ft, 20 ft, and 3 ft respectively. The deepest…

Q: The Ellis family uses up a 1 2 -gallon jug of milk every 3 days. At what rate do they drink milk?

A: Given that the Ellis family uses 12 gallon jug of milk every 3  days . we use quotient rule to…

Q: how many units will be left after 3 days?

A: To find amount of substance left after 3 days. We use the given relation of decay of substance.

Q: Aluminum, Inc. produces cans at a rate of 0.04 per hundredth of a second. How many cans can be…

A: Unitary method: It is process in which the value of a single unit is determined from the value of…

Q: Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5…

A:

Q: Some people subtract 32 and then divide by 2 to estimate the change from a Fahrenheit reading to a…

A: Some people subtract 32 and then divide by 2 to estimate the change from a Fahrenheit reading to a…

Q: Water is flowinf 38 inches per second and at a rate of 1.125 cubic feet per second. What is the pipe…

A:

Q: If John has a body density of 1.058 kg/L, what is his body fat percentage? (Answer to 1 digit after…

A: According to SIRI equation the body fat percentage is, %fat = [(4.95/D) – 4.50] × 100, where D is…

Q: Assume that in 2015, the average American (18 and over) ate 5.46 lbs. of food per day. Based upon…

A: It is given that the average American ate 5.46 lbs. of food per day. Convert the 5.46 lbs. to grams…

Q: What percent of the batches of water discharged exceed the 80 ppm standard?

A: Given: Calculate the required probability as follows:

Q: How much samarium-153 would remain 72 hours after a patient was treated with 2 grams of…

A:

Q: If an object lose 45% of its value over 5 years, what percent of it's value does it lose over one…

A: Let it loosed x of its value over one year So, after 5 years it will be (1-x)5 of the initial value.…

Q: Roger worked 9 hours on Friday and 6 hours on Saturday. What is the ratio of the work done on Friday…

A: To solve the following problem

Q: A bacteria culture starts with 600 bacteria and doubles in size every half hour. Exercise (a)

A:

Q: During a heavy rainstorm, a city in Florida received 129 nches of rain 25 hours. What is the…

A: As Florida receives 1214=494 inches of rain in 2512=512 hours, the approximate rainfall rate in…

Q: in 2015, there were approximately 3,901,000 births in a country. Find the birth rate in births per…

A:

Q: how much bacteria is present after 18 minutes?

A:

Q: To avoid a mountain range, a helicopter must climb 7,485 feet in 4 minutes. What is the helicopter's…

A: It is given that the helicopter must climb 7,485 feet in 4 minutes.

Q: About 56% of the 2,553 students are enrolled in at least one honors class. How many students are…

A:

Q: A hose fills a hot tub at a rate of 4.11 gallons per minute. How many hours Will it take to fill a…

A:

Q: What percent of the phones have a battery life less than 5 or greater than 5.5 hours?

A: As per instruction we have to solve part c.

Q: At a cosmetics company, 40 L of pure aloe cream are mixed with 50  L of a moisturizer that is 64%…

A: Given,          At a cosmetics company, 40 L of pure aloe cream are mixed with 50 L of a moisturizer…

Q: In 2015, the average American (18 and over) ate 5.46 lbs. of food per day. Assuming the average food…

A:

Q: A machine can peel 3 kg of potatoes in 5 minutes. At this rate, how many kilograms of potatoes can 4…

A:

Q: A small hole in a rubberized container allows of the air to 20 escape each second. What percent of…

A: We have to find the percent of the air will remain in the container, 6 seconds after opening the…

Q: the volume of a regular cylinder is increased up to 80%.  by how much percent the radius of the…

A: The volume of a regular cylinder is increased up to 80%.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.