A group of blologists is surveying the mice population in a forest. The equation n = 75 · 3' gives the total number of mice, n, t years since the survey began. Explain what the numbers 75 and 3 mean in this situation. %3D

Q: A5 feet 6 inches tall man is walking away from a lamppost at a rate of 2 ft/sec. If the lamppost is…

A: We have, A 5 feet 6 inches (5.5 feet) tall man is walking away from the lamppost of height 12 feet…

Q: How long will it take the body to reach a temperature of 75 deg. Fahrenheit.? Find the temperature…

A: To solve the given Temperature problem.  •)How long will it take the body to reach a temperature of…

Q: About how accurately must the tank’s exterior diameter be measured to calculate the amount of paint…

A:

Q: A 25-year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: When food stuff is removed form an oven, its temperature is measured as 280 F, 5 Minutes later the…

A:

Q: A 25-year old woman burns 250 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A 25-year old woman burns 300−80t cal/hr while walking on her treadmill. Her caloric intake from…

A: We are given that a 25 year old woman burns 300 - 80t cal/hour while walking on treadmill and her…

Q: A person running at 45 kilometers per hour (KPH) is riding a train at 120 KPH going to Manila. Who…

A: Given that , Speed of a person = 45KPH  Speed of a train = 120KPH  Because, we have same unit of…

Q: Movement along the San Andreas Fault Averages 6 cm/year. At this rate, how long will it take for Los…

A: Given : Average movement of San Andreas Fault= 6 cm/year

Q: A carpenter has two water pipes which are 60 dm and 72 dm, respectively. He cuts them into equal…

A:

Q: The amount of water required for a yard which has been landscaped for a desert environment is 17% of…

A: The value of x% of y is calculated using the formula below.

Q: Approximate to 3 decimal place accuracy

A: Maclaurin series can be given as below : take

Q: A diver was 5 feet below sea level. He dove deeper at a rate of 5 3/8 feet per minute. What was the…

A:

Q: A biologist swabs a sample of bacteria onto a petri dish, and this original colony covers an area of…

A: Given that the original colony has an area of 2 mm2. Increasing rate = 4.5%= 0.045 per hour If the…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Use decay law

Q: A volunteer knits a 5-foot long scarf at a constant rate. After 4 hours, the volunteer still has to…

A:

Q: A 25-year old woman burns 300 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: It took 14 sec for a mercury thermometerto rise from -19°C to 100°C when it was taken from a freezer…

A: The time taken for a mercury thermometer to rise from -19°C  to 100°C is 14 sec.

Q: The half-life of the drug Morphine in the blood is 120 minutes. If 75 mL are given to a patient at…

A:

Q: Explain why if a runner completes a 6.2-mi (10-km) race in 32 min, then he must have been running at…

A: A runner completes a 6.2 miles race in 32 minutes.

Q: A metal sphere cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take to…

A:

Q: The sides of a square are increasing at the rate of 2 feet per minute each. Find the rate at which…

A:

Q: A roast was taken out of a hardwood smoker when its internal temperature had reached 180 °F. It was…

A:

Q: A 25-year old woman burns 350 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how…

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: The London Eye is a Ferris wheel in London, England, that travels at a speed of 0.26 meter per…

A:

Q: A 25-year old woman burns 250−60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: Jessi launched a toy rocket vertically upward having an initial velocity of 100 feet per second then…

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Q: A rack climber starts at an e ation 630 feet abowe sea level and descends to a point 180 feet lower…

A:

Q: A bacteria culture contains 1500 bacteria and doubles every half hour. What is the size of the…

A: Given that: Given that: A bacteria culture contains 1500 bacteria and doubles every half hour.…

Q: The half-life of erbium-160 is 1.191 days. If a sample has a mass of 500 mg, find the mass (in mg)…

A: Given half life  t12=1.191 days and initial mass  A0=500 mg

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

A:

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

A:

Q: The magnitude of earthquake A is 3.8. If earthquake B is 10,000 times as intense as earthquake A,…

A: The solution is given below :

Q: A 25-year old woman burns 350−30t cal/hr while walking on her treadmill. Her caloric intake from…

A: To find the net decrease in calories after walking for 2 hours.

Q: The usual growth rate of hair is approximately 4 x 10-2 centimeters per day. If an individual's hair…

A:

Q: The half-life of Sodium-24 is 14.96 hours. If a sample contains 490 mg, how many mg will remain…

A:

Q: The electric current in a microprocessor circuit is 0.380 µA. How many coulombs pass a given point…

A: We are entitled to solve only one question at a time. Please post another question separately.…

Q: Your speedometer reading is 45 mph, but your tires are larger than factory-installed tires.  The…

A: Given : speedometer reading is 45 mph

Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

A:

Q: A 25-year old woman burns 150 – 50t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A 25-year old woman burns 300 – 40t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A rubber ball is dropped from the top of a hole. Exactly 1.0 seconds​ later, the sound of the…

A: Let height of the hole = h  m Sound speed = 331 m/s Total time t = 1 second

Q: A local bus finishes its 77-km route in the same amount of time that an express bus finishes its…

A:

Q: Ben starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda…

A:

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: RECALL: Area of the square , A= a2 ; where 'a' is the side of the square. Volume of the cylinder,…

Q: ng the shore and 60 meters from the sh mps into the water and swims from the second and swim at a…

A:

Q: An equestrian slows a horse from a 8.95 m/s gallop  to a 5.98 m/s canter  while traveling a distance…

A: Given that the distance= 100.0 m Difference between speeds= (8.95 - 5.98)= 2.97 m/s

Q: Show how to measure exactly 2 liters of water from a river using a 27 liter jug and a 16 liter jug.…

A: At first, fill the 2/3 rd of the larger jug so that it contain, 27*(2/3) = 18 liters. Now if we pour…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.