Answered: In 10 minutes, the body cools from 75…

In 10 minutes, the body cools from 75 to 55 degree Celsius when temperature of the surrounding is 31 degree Celsius. At what temperature will the rate of cooling is 1/4 that of the start?

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.6: Solving Problems Involving Quadratic Equations

Problem 1.3E

See similar textbooks

Related questions

Q: The bacteria in a culture can be assumed to multiply at a rate that at any given moment is…

Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Given : S=the amount of radium you start with=250gm t=the amount of time in years=950 years h=the…

Q: The rate at which bacteria multiply is proportional to the instantanous N numbers present. If the…

Q: Number of bacteria in a rapidly growing culture was estimated to be 10,000 at noon, 40,000 after…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

Q: The volume of a cube is decreasing at a rate of 24 cubic inches per minute. At the instant when an…

A: Given that The volume of a cube is decreasing at a rate of 24 cubic inches per minute.…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

A: we know square area, A = a2 , where a = side of square To find the solution , we will…

Q: Suppose that the concentration of a bacteria sample is 60,000 bacteria per miliditer. f the…

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 70°C,…

A: Given that, Initial temperature of coffee is T0=95°C, surrounding temperature is Ts=20°C. Also,…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: NOTE: Refresh your page if you can't see any equations. . width is w=x so the length is l=4x+2 the…

Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth…

Q: A 4.5 ft tall man is walking away from a 25 ft tall lamp post. If he is walking at a rate of 2…

Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Simple rate of decay of radium problem....

Q: A boy 5 ft tall is walking away from a streetlight at the rate of 3 ft/sec. If the light is 12 above…

A: In the question it is asked to find the rate at which shadow is lengthening for the movement of boy…

Q: When a cake is removed from an oven, its temperature is measured at 300° F. Three minutes later its…

A: Let's find.

Q: Consider an object in a surrounding with constant temperature of 25°C. If the temperature of the…

Q: A freshly brewed cup of coffee has temperature 95 ° C in a 20 ° C When its temperature is 70 ° C it…

A: The temperature of a freshly brewed coffee is 95°C and the temperature of the room is 20°C. When the…

Q: A 4.5 ft tall man is walking away from a 25 ft tall lamp post. If he is walking at a rate of 2…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: The solution of the problem is given in the next step.

Q: The rate at which bacteria multiply is proportional to the instantaneous N numbers present. If the…

A: Let y(t) represents the number of bacteria present in the culture after t hours. Let the initial…

Q: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

A: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

Q: A population of 320 bacteria grows continuously at a rate of 4.2% each day. How many bacteria will…

Q: A patient is adminstered a dose of 70mg of a drug. If the body naturally disposes of 5% of the drug…

A: Given, A patient is administered a dose of 70mg of a drug and the body naturally disposes…

Q: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

Q: After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is present.…

Q: The rate at which the body cools is proportional to the difference in temperature of the body and…

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the…

A: We have to find rate of change of area

Q: An airplane flying on a straight flight path will be exactly above a radar tracking station, which…

A: Given: Perpendicular distance between station and plane is 5,000 km To find rate of distance of…

Q: The population of Jefferson City is 95,000. Assuming a growth rate of 2.5% pee year, what will the…

A: Given that population of Jefferson city is P=95,000. growth rate is R=2.5% per year we have to find…

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate (in cm2/s) is the area of the…

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: It is the application of Derivative.

Q: There are 100 bacteria cells in a dish now, but in 5 hours there will be 147 cells. At what rate do…

A: There are 100 bacteria at initial time t=0. In 5 hours that is when t=5, there will be 147 cells. In…

Q: The length of a rectangle is increasing at a rate of 7cm/s and its width is increasing at a rate of…

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: Solution

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

Q: The growth rate of a bacteria culture is proportional to the number of bacteria present. If a…

Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

Q: One car leaves a given point and travels north at 40 mph. Another car leaves 1 HOUR LATER, and…

A: Let's find rate of change distance between the cars changing at the instant the second car has been…

Q: A boat moves at a rate of 13 mph in still water. If the river's current flows at a rate of 3mph, how…

A: given that: A boat moves at a rate of 13 mph in still water. the river's current flows at a rate of…

Q: A kite flying 80m high is blown horizontally by the wind at a velocity of 5m/s. If the string is…

A: We are given that a kite flying at 80m height is blown horizontally by the wind at a velocity of…

Q: During a research experiment, it was found that the number of bacteria in a culture grew at a rate…

Q: The population of an endangered species decreases at a rate of 7% per year. Approximately how long…

A: Answer

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 66°C, it…

Q: A kite travels upwards at 30 mph, while a kid runs away at 6mph. What rate is the distance between…

Q: Each side of a square is increasing at a rate of 3 cm / s . At what rate (in cm^ 2 /s) is the area…

Q: If the diameter of a piece of candy was initially 26 mm and after 30 minutes it measured 5mm, what…

Q: A puppy weighs 2.0 lb at birth and 3.5 lb 2 months later. If the weight of the puppy during its…

Question

Fill the blanks with the correct answer/s. Write your answer to your answer sheet. No.9

In 10 minutes, the body cools from 75 to 55 degree Celsius when temperature of the surrounding
is 31 degree Celsius. At what temperature will the rate of cooling is 1/4 that of the start?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours after the administration of medication. At this rate of decay, how many bacteria will there be 24 hours from the start of the experiment?
The half-life of magnesium-27 is 9.45 minutes. How much of a 10-mg sample will be left in 6 minutes?
The half-life of a radioactive material is about 34.2 years. How much of the material is left after 20 years?
Another researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of a bacteria. She starts his experiment with 50 of the bacteria that grows at a rate of 15% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours?