the area of a triangle varies jointly as its base and its height. If the base is increased by 10% and the height is decreased by 20%, what is the percent change in its area?

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Q: The volume, V, of a gas varies inversely as the pressure, P, on it. The volume is 2540 cm3  when the…

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Q: When building a house, the number of days required to build is inversely proportional to with the…

A: *given:- the number of days is inversely proportional to the number of workesrs.   or number of…

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Q: Over a 3 week period, the price of an MP3 player dropped steadily, from $154 to $100. What was the…

A: Average weekly change=change in price/change in weeks

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

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Q: How many times more concentrated is an acid with a pH of 4 compared to a pH of 6?

A: PH = -log 10[H+]

Q: In an electrical circuit, the current passing through a conductor varies inversely with the…

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Q: The number of kilograms of water in the human body varies directly with the mass of the human. A…

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Q: The weight of a body above sea level varies inversely with the square of the distance from the…

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Q: The volume of gas in a gas shock absorber varies inversely with the pressure and directly with the…

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Q: the intensity of a light bulb varies inversely as the square of the distance you are standing from…

A: Topic - relation between two varibles and their equation formation

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Q: The number of visits to public libraries increased from 1.5 billion in 1997 to 1.6 billion in 2001.…

A: Here we want to find average rate of change in number of public library visits

Q: If the base of a triangle is increased by 60%, find the percentage change in the height of the…

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Q: The weight, in pounds, of a type of small tree is directly proportional to the cube of its height…

A: We denote weight by 'w' and height by 'h'  As weight directly proportional to height  Thus w = kh…

Q: The distance ss that an object falls varies directly with the square of the time t. If an object…

A:

Q: The number of kilograms of water in a human body varies directly as the mass of the body.  An 87​-kg…

A: to determine.

Q: While examining evidence from a shooting, a ballistics expert informs Detective Bill that a bullet…

A: Definition used – Reduced fraction – To reduce a fraction we divide both the numerator and…

Q: on a given planet , the weight of an object varies directly with the mass of the object. suppose…

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Q: The number of automobiles in a certain small town was 1,525 in 2013, and it was 1,850 in 2018. What…

A: Rate of change of a function f(x) in (a,b) is give by Rate of change =fb-fab-a

Q: The weight of an object on Mars varies directly as its weight on Earth. Aperson weighs 95lb on Earth…

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Q: You discover that the number of hours you sleep each night varies inversely as the square of the…

A: Given  Number of hours you sleep each night varies inversely as the square of the number of cups of…

Q: The table shows the relationship between the number of parents in a household and the number of…

A: Given Data : Number of parents Number of children 0 0 1 3 1 5 2 4 2 1 For the number…

Q: If each side of the square is increased by 25 % find the percentage change in its area

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Q: For a substance C, the time rate of conversion is proportional to the square of the amount of…

A: Given: For substance C, the time rate of conversion is proportional to the square of the amount of…

Q: The number of minutes needed to solve an Exercise Set of variation problems varies directly as the…

A: Let the number of minutes m varies directly as the number of problems n and inversely as the number…

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Q: The average age of a group of 8 people is 22. After the oldest person leaves the room the average…

A: We have to find

Q: The period of a pendulum varies directly as the square root of the length of the pendulum and…

A:

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: The period of a pendulum varies directly as the square root of the length of the pendulum and…

A:

Q: The number of kilograms of water in a human body varies directly as themass of the body. A 96-kg…

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Q: The weight, in pounds, of a type of small tree is directly proportional to the cube of its height…

A: Soln Given(w) weight of tree is dired proportionalto cube of it,s height hw ∝ h3w = k h3…

Q: The resistance (in ohms) of a circular conductor varies directly with the length of the conductor…

A: Let R be the resistance, l be the length, and r be the radius. Given that R=10,l=50,r=6×10-3.

Q: The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total…

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Q: The period of a pendulum varies directly as the square root of the length of the pendulum and…

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Q: After giving 25% discount on the entry ticket, the number of visitors increased by 30%. What will be…

A: On present day: Discount on 1 ticket=25%……1Increase in number of visitors=30%……2   On other day:…

Q: Sound intensity varies inversely as the square of the distance from the sound source. If you are in…

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Q: The time it takes to cover the distance between two cities by car varies inversely with the speed of…

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Q: A group of hikers starts from each town and walks down the trail toward ea oup, find the rate of…

A: Introduction: The rate of change function is defined as the rate at which one quantity changes in…

Q: The current in an electrical conductor varies inversely as the resistance of the conductor. If the…

A: Let the current in an electrical conductor = C the resistance of the conductor= R So,  C=k/R , where…

Q: Over a 4 week period, the price of an MP3 player dropped steadily, from $128 to $80. What was the…

A: The given question has been solved in detail

Q: When building a house, the number of days required to build is inversely proportional to with the…

A: Number of days required to build is inversely proportional to with the number of workers. One house…

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: The number of kilograms of water in a human body varies directly as the mass of the body. A 90-kg…

A: Direct proportion is the relationship between two variables whose ratio is equal to a constant…

Q: The distance that a body falls varies directly as the square of the time that it is falling. If…

A: It is given that the distance a body falls varies directly as the square of the time. If distance of…

Q: At a fixed temperature, the volume of a given mass of gas varies inversely as the pressure applied…

A: Given that, At a fixed temperature, the volume (V) of a given mass of gas varies inversely as the…

Q: The weight of an object above the surface of the Earth varies inversely with the square of the…

A:

Q: At noon, a tank contained 6 cm of water. After several hours, it contained 3 cm of water. What is…

A: Given that a tank contained 6 cm of water. After several hours, it contained 3 cm of water