A man 6 ?? tall walks away from a lamp post 16 ?? high at the rate of 5 ??/ℎ?. How fast does the end of his shadow move?

Q: A group of friends are going on a long drive to Mawa Expressway. They divided their route into 3…

A: Given, Planned maintining an average speed = 69 km/h Route is divided in to 3 parts. Speed of first…

Q: 18. Suppose you are the thirtieth person in line to renew your driver's license at the Department of…

A: Note:- As you mention help in 18 a) so i am solving this you can see its soluton below.

Q: (5) Suppose 2 mg of a drug is injected into a person's bloodstream. As it metabolizes, the amount of…

A: Initially 2 mg of drug is injected and it decreases at the rate of 4% each hourWhen must the person…

Q: Pretend that in a certain city the number of new cases of COVID was reported to be 200 new cases on…

A: In a certain city, the number of new COVID cases was reported to be 200 on Sunday.The number of new…

Q: 12. An airplane, travelling horizontally at a speed of 0.200 km/s passes directly above a radar…

A:

Q: A prisoner, 1.80 meters in height, was discharged in consideration due to his advanced in age. In…

A: Given:- Arrow hits in the Centre of the body Acceleration of the Prisoner=0.012 t (varying with…

Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

A:

Q: 3) The manufacturer of standard size Norman windows estimates that he can sell 5,000 units a year at…

A: Given query is to find the the price for greatest return.

Q: (4) If the population of bacteria in a certain region triples in 50 days. In how many days will be…

A: Assuming the rate of increase is proportional to the number of inhabitants. To find- No. of days in…

Q: 10. A stone is dropped from the top of a building 1024 ft. high. When does it hit the ground and…

A: Solution : We have given that a stone is dropped from the top of a building 1024 ft. high. And we…

Q: A water trough Is 15 feet long, and its cross section Is an equilateral triangle with sides 4 feet…

A: Answer is mentioned below

Q: A 10-foot ladder is standing vertically against the side of a building. To show you a related rates…

A: We can solve as follows

Q: O Two boats leave the same port from the same time. One travels straight west at 10 mph, and one…

A: Given that Two boats leave the same port from the same time.  One travels straight west at 10 mph,…

Q: A certain bamboo plant was measured to be 12 inches tall on Sunday. On Wednesday, three days later,…

A:

Q: - An object travels 8 miles in 20 minutes at a constant speed. What is the obiect's speed in miles…

A: Object travels 8 miles in 20 mins 20 mins = 20/60 hrs = 1/3 hrs Then speed = dist / time

Q: 2. Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph,…

A: Solution ) the rate at which they are approachung each other = 45 + 70  = 115 m/ h For car 1  Speed…

Q: Suppose you drive from Here to There at a speed of 30 miles/hour and then drive backfrom There to…

A: Given Data: Let the distance from Here to There be 'x' miles We know that Time=DistanceSpeed   Time…

Q: 3 Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

A: Given the data:

Q: wo cars start moving from the same point. One travels south at 16 mi/h and the other travels west at…

A:

Q: 2. A dosage of Q units of a certain drug is administered to an individual every four hours. Assume…

A:

Q: (a) find the value of A and a, correct to 3 decimal places, (b) predict the percentage of…

A: Topic:- exponential function

Q: 4. Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 5…

A:

Q: A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant.…

A: Given information- The employees suffered lost-time accidents last year P (X) = 0.05 A special…

Q: 2.) A new building has used 18 tons of cement and is only 30% built. At this rate, how many tons of…

A:

Q: 4. A rock thrown into a still pond and causes a circular ripple. If the radius of the ripple is…

A: Follow the procedure given below.

Q: 4. If the temperature on the third day of the month is 50 degrees Celsius and 30 degrees by the 13th…

A: Given the temperature on the third day is 50 degrees Celsius and the temperature on the 13th day is…

Q: 9) A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon's rate…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. A boy on a bike rides north 5miles then turns east. If he rides 10 miles per hour, at what rate…

A: Distance travel in north distance = 5 miles,

Q: (4) If the population of bacteria in a certain region triples in 15 days. In how many days will be…

A: Bacteria increases proportional during the period given in the problem

Q: 1.On a rainy day, a girl broke up with her boyfriend after being together for eight long years. They…

A:

Q: A boy 1.6 metres tall is walking away from a lamp post 10 metres tall. if the boy is walking at the…

A:

Q: 1.) A pine tree measured 40 ½ feet tall. Over the next 7 ½ years, it grew to a height of 57 feet.…

A: Growth rate is obtained by increase in the height divided by time taken for the amount of change.

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

A:

Q: A water trough is 11 feet long, and its cross section is an equilateral triangle with sides 3 feet…

A: (a) Height of side of equilateral triangle with side s is,

Q: Ifthe population of bacteria in a certain region triples in 15 days. In how many days will be four…

A: given                                                 dAdt=AK Where, A is population of bacteria. K…

Q: 1. Two airplanes left airports which are 960 km apart and flew towards each other. One plane flew 32…

A: This is a question of distance and velocity. Based on the general formula of distance and velocity…

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

A:

Q: A factory produces bicycles at a rate of 95 + 43212 – 12t bicycles per week (t in weeks). How many…

A: Given rate of production of bicycles at factor,find prodution from week2 to week3

Q: on 16 of 38 Water flows into an empty reservoir at a rate of 3000 + 360t liters per hour (t in…

A:

Q: 2. The number of transistors in a chip produced by Intel has been known to increase at a rate…

A: Let the number of transistors at time t is:  y(t)

Q: Suppose that the local newspaper reported that Millerville and Big Lake both had 50 murders last…

A: Given information: It is given that, the local newspaper reported that Millersville and Big lake…

Q: rectangle has one side of 11 cm. How fast is the area of the rectangle changing at the instant when…

A:

Q: 3. A certain boat traveled 32 kilometers along with the current and 16 kilometers against the…

A: Given : Kilometer traveled along the current= 32 Kilometer traveled aginst the current = 16 Rate of…

Q: these in the right order, fastest to slowest?

A: Given order of function is

Q: 2. A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A: We will use exponential growth Function Here.

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate…

A:

Q: -) What is the perimet

A: We are asked to find the perimeter of the shape.

Q: 1. The time required for a group of men to complete a certain job is inversely proportional to the…

A: These questions are related to proportionality equations, we will solve them using given…

Q: A factory produces bikes at a rate of 100 + 0.5t2 - 0.9t where t is in weeks, how many bikes were…

A: