Consider an object in a surrounding with a constant temperature of 25C. If the temperature of the object decreases from 100C to 90C in 10 minutes, how much longer will it take for its temperature to cool to 80C?

Q: between 2000 and 2010, the percentage of fatal automobile accidents due to speeding decreased by 34%…

A: Given that between 2000 and 2010, the percentage of fatal automobile accidents due to speeding…

Q: 1. Jane can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. Together, how long…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer first question at a…

Q: A van travels 24 km with a constant speed of 65 km/h and another 50 km with a constant speed of 80…

A: Given, A van travels 24 km with a constant speed of 65 km/h and another 50 km with a constant speed…

Q: From a table inside a room with current temperature of 35 degrees Celsius, a left over Fried Chicken…

A: For thsi problem we use the Newton's Law of cooling:T-Tr=(T0-Tr)e-ktNotice that hereT=temperature at…

Q: Suppose that a university had an enrollment of 9000 students in 1991 and each year thereafter…

A: The initial number of students in 1991 is 9000. It is given that every year the students increase by…

Q: If the base of a rectangle is decreased by 21% and altitude is increased by 18%, By what percent is…

A: To Determine: If the base of a rectangle is decreased by 21% and altitude is increased by 18%, By…

Q: If the number of bacteria in a colony doubles every 157 minutes and there is currently a population…

A: This problem can be solved without deriving any general formula

Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: Introduction: Recurrence relation is very important in discrete mathematics. It relates a term with…

Q: Index was 220.2 in 2011 and 251.7 in 2019. What would have been theequivalent price in 2011 of a car…

A: Current price = $24,375  Consumer Price Index in 2011 = 220.2 Consumer Price Index in 2019 = 251.7

Q: you have 6,128 grams of a radioactive kind of indium. If it's half life is 2 hours, how much will be…

A: We can use exponential decay function to solve the problem

Q: if an object costs $555 when new, and $80 after 5 years, what does it cost after 3 years?

A:

Q: As part of a training program for the Boston Marathon, a runner wants to build endurance by running…

A:

Q: Suppose Elizabeth takes a 700 mg dose of ibuprofen and every hour that passes the amount of…

A:

Q: If a fan does not catch the T-shirt, after how many seconds will the T-shirt hit the ground?

A:

Q: There are four boys to every three girls in an introductory geology course. If there are 392…

A: First we let the ratio be 4x/3x . And total is 392.It means 4x+3x=392 .

Q: airplane flying to the Dominican Republic has an altitude of 31,000 feet and is ascending at a…

A:

Q: In a plant, if the time needed to produce the first unit is 13 hours and the reduction in time…

A: We will find the total production cost as following .

Q: Left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the…

A:

Q: town has a population of 15,000 and grows at 7% every year. What will be the population after 10…

A: Explanation of the answer is as follows

Q: A bus is traveling at a constant speed. If the bus travels 15 1/2 miles in 1/3 of an hour, how many…

A: Given that the bus travels 1512 miles in 13 of an hour.So the speed=distancetime=1512 miles13…

Q: If a pathogen spreads at .01 per day in a population if unchecked. In how many days will the number…

A: Consider the provided question, Given, World population P0 = 6 billion Birth rate - death rate =…

Q: A metal sphere cools from 80°C to 70°C in 5 minutes. How much more time (in minutes) will it take to…

A:

Q: If the average number of calls a call center receives is 14 per hour, how long do we expect it will…

A: Here given that the average number of calls a call center receives is 14 per hour. In one hour their…

Q: n a culture of yeast, the amount of active ferment grows at a rate proportional to the amount ... If…

A: Growth given in the problem has exponential growth. If the quantity growing exponentially is denoted…

Q: A commercial cherry grower estimates from past records that if 15 trees are planted per acre, then…

A: Let, x additional trees have to be planted.  So the total number of trees= (15+x) New average yield=…

Q: A roast turkey is taken from an oven when its temperature has reached 190 degrees Fahrenheit and is…

A: This is the problem of the Application of the Calculus.

Q: If Ahmet travels half of the road at 90 km/h in 1 hour and the remaining half at 60 km/h, his…

A:

Q: The engine of an armored personnel carrier returning from an exercise, its temperature, which is 100…

A: Given :- The engine of an armored personnel carrier returning from an exercise, its temperature,…

Q: Two movie theaters, UAI and UAII, start their movies at 6:00 P.M. The movie at UAI takes 75 minutes…

A: It is given that, UAI and UAII, start their movies at 6:00 P.M. The movie at UAI takes 75 minutes…

Q: number of hours required to paint a house varies indirectly to the number of painters. If 5 painters…

A: Given query is to find the number of painter required to finish the work in 50 hours.

Q: A pot of 180-degree water is placed in a freezer that is set to 20 degrees. The water cools to…

A:

Q: A body at a temperature of 50 degree Fahrenheit is placed in an oven whose temperature is kept at…

A: toNewtonisdawAccordingof coolingdTTs-KLT-Ts)1surrounding tempis temp after itminutesdtTlt)>dT-k…

Q: The temperature of the engine of an armored personnel carrier returning from an exercise from 100 °…

A: Assume the given terms and use integration to determine the relation between temperature T and time…

Q: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that…

A: This question can be solved using the concept of proportionality

Q: A Norfolk pine is 18 inches tall and grows at a rate of 1.5 feet per year. An airplane at an…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: A group of workers can plant at a rate of  10  acres per day. How many acres can they plant in  5…

A:

Q: There are 377 students who are enrolled in an introductory geology course. If there are eight boys…

A:

Q: A roast turkey is taken from an oven when its temperature has reached 190 degrees Fahrenheit and is…

A: This is a problem with Newton's law of cooling.

Q: A pipe can fill a tank in 120 minutes while the drain valve can drain it in 150 minutes. If the…

A: Assume it takes t minutes to fill the tub. pipe can fill in 120 minutes drain valve can empty in 150…

Q: A steel ball is heated to 120°C and then immersed in a vat of water kept at a constant temperature…

A:

Q: A high-speed train makes a 450 mile nonstop run between two major cities in hours. The train travels…

A:

Q: The school population for a certain school is predicted to increase by 40 students per year for the…

A: It is given that, the school population for a certain school is predicted to increase by 40 students…

Q: A roasted turkey is taken from an oven when it temperature has reached 185 degrees Fahrenheit and is…

A:

Q: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that…

A: Given that the weight of an object varies directly with the mass of the object. Suppose that an…

Q: A truck moving continuously, averages 52.5 mph for 6.75 hr. how far does it travel during this time?

A:

Q: If the air is maintained at 15oC and the temperature of the body drops from 70oC to 40oC in 10…

A: The given air temperatutre T∞=15°CInitial temperature of the body Ti=70°CAfter time t = 10 minutes…

Q: On a certain test, the average passing score is 72 while the average failing score is 50. If the…

A: Lets say there are 'm' number of students a1, a2,.........am passed the test and 'n' number of…

Q: if a turtle moves at 1 1/3 mph how long will it take him to travel 9 miles

A: turtle moves at 113 mph to find how long will it take him to travel 9 miles

Q: A metallic rod at a temperature of 120°F is placed in a room at a constant temperature of 10°F. If…

A: Initial temperature of metallic rod is:  T0 = 120∘F temperature of the room = 10∘F By Newton's law…