number who have not heard it, determine an equation for the number of students who have hear the rumor at any time t.

Q: e height of an object tossed upward with an initial velocity of 104 feet per second is given by the…

A: Explanation of the answer as follows:

Q: In the vicinity of a bonfire the temperature T (in °C) at a distance of x meters from the cen…

A: Here we have, the temperature T at a distance of x meters from the center of the fire is given by…

Q: See attached

A: Given thatRate of filling of water to the pond is 25

Q: A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew…

A: At starting d = 0 days L = 57 miles crew is adding 3 miles to the road each day

Q: a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700…

A: solution.

Q: Ty is studying to be a marine biologist at the College of Charleston. His class is studying the…

A:

Q: Please answer the attached question. Thanks a lot

A: The given equation is A = Cax.

Q: Writing an equation to represent a real-world problelmi. Van Two pools are being filled with water.…

A:

Q: An object is launched from a platform. Its height (in meters), z seconds after the launch, is…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the initial height,…

Q: Owners of a recreation area are filling a small pond with water. They are adding water at a rate of…

A: Given-    Starting water in pond= 700 litres  Speed of water= 27litre/min

Q: Studies suggest that people with a high sense of humor tolerate negative events better than people…

A:

Q: An airplane is flying at a steady elevation of 14,500 feet.   The airplane will need to ascend to…

A: Given, An airplane is flying at a steady elevation of 14,500 feet. The airplane will need to ascend…

Q: 500 liters of water has 3000 ounces of salt dissolved in it. Water with 2 oz. of salt/liter enters…

A:

Q: Solve the equation algebraically. Verify your results using a graphing utility. (x + 7) (x - 1) = (x…

A: Consider the provided equation, x+7x-1=x+12 Solve the equation algebraically. Simplify the above…

Q: Third equation +ta + First degree O Second degree

A: Order of a partial differential equation- The order of a partial differential equation is defined as…

Q: OSolve for "x" in the equation: e-3) + 4 = 10. (3 decimal point accuracy). %3D

A: Taks ln both side

Q: Angel bought a plant and planted it in a pot near a window in his house. The plant grew at a rate of…

A: As the plant grew at a rate of 3 inch per month. i.e. grew rate is constant thus hight if the plant…

Q: A motorboat leaves port and travels at an average rate of 11 mph. Four hours later, a yacht leaves…

A: topic - equations

Q: SEE ATTACHED

A: The given information:

Q: Danish sells some items at his shop. He buys the items for $5 each. When he sells 30 in a month,…

A: Given - Danish sells some items at his shop. He buys the items for $5 each. When he sells 30 in a…

Q: An Indy race car driver makes a pit stop at the beginning of a lap.The time t in seconds that it…

A: Given, The time t inseconds that it takes the driver to complete the lap, including the pit stop,…

Q: The Sugar Sweet Company is going to transport its sugar to market. It will cost $7500 to rent…

A: Given that: Cost of renting trucks = $7500Rate of transporting sugar=$175/tonTotal sugar transported…

Q: A construction crew is lengthening a road. The road started with a length of 56 miles, and the crew…

A: Initially done 56 miles Daily increased by 4 miles If D days worked then road increased by 4D miles…

Q: e Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks,…

A: Given query is to find the cost and amount of sugar transport.

Q: you are playing with your dog Ohana on a straight beach of a lake. You throw a ball and it lands in…

A:

Q: A botanist is studying the development of a bamboo plant. She started keeping a log of its growth 25…

A: Total time= 25 weeks Given that the plant has grown an average of 35 inch each week.  So the plant…

Q: #1) Jose opened a savings account and made an initial deposit of $450. His account triples annually.…

A:

Q: Your grandmother gives you an old painting that she bought for $60. You bring it to an expert who…

A:

Q: A computer costs $800. It loses 1/4 of its value every year after it is purchased. Write an…

A: In the first year, the value of computer is $800.  It looses 14th of its value every year. In the…

Q: An Indy race car driver makes a pit stop at the beginning of a lap. The time, t, in seconds that it…

A: An Indy race car driver makes a pit stop at the beginning of a lap. And it takes the driver to…

Q: Grade Inflation. The bar graph shows the percentage of U.S. college freshmen with an average grade…

A: p=4x5+25 To find the percentage of U.S. college freshmen had an average grade of A in high school in…

Q: Investment The simple interest earned in 9 yearsis directly proportional to the interest rate r. If…

A:

Q: Owners of a recreation area are filling a small pond with water. They are adding water at a rate of…

A:

Q: Owners of a recreation area are filling a small pond with water. They are adding water at a rate of…

A:

Q: r(-) = a/T. What is the value of constant a?

A: We have to find the value of constant a where Γ-52=aπ .

Q: The value of a new car depreciates at a rate of 8% per year. Write an equation to represent the…

A: Depreciation rate of car is 8%. Value of New car is $42000 Since we have future value formula…

Q: relationship between the readings, it would be possible to use a reading from the mini-Wright meter…

A: The authors of statistical method compared two different instruments for measuring a person’s…

Q: 12) A local restaurant owner offers you $20 to stand on a street corner and hand out coupons to her…

A: Given a local restaurant owner offers $20.

Q: A towns population has been growing linearly.in 2003 the population was 43,000. The population has…

A: A towns population has been growing linearly, in 2003 the population was 43,000. The population…

Q: Solve and show work. The population of New England was 4,000 in the year 1750. The population…

A: This question can be solved using the modelling concept of compounded growth.

Q: A hot-air balloon is released at 1:00 P.M. and rises vertically at a rate of 6 m/sec. An observation…

A: We have to find equation of distance in the term of t

Q: A pumpkin pie is taken out of the oven with an internal temp of 325F. It is placed on a rack in a…

A:

Q: Vociky by substitublon thal the fellowing equation is sahifed by theo given himchion,

A: Given differential equation is

Q: 1) Delbert is scuba diving at a depth of 400 meters when he begins to ascend. He ascends by 10…

A:

Q: Water is flowing from a major broken water main at the intersection of two streets. The resulting…

A:

Q: Nora is training for a marathon. She can run at a constant rate of 4 miles in 28 minutes.

A: The slope of the line is equal to m. The slope represents the rate of change of the value of y with…

Q: A construction crew Is lengthening a road. The road started with a length of 57 mlles, and the crew…

A:

Q: 15. BOILING POINT The boiling point of water at sea level is 100°C. The boiling point decreases…

A:

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.