Suppose that the magnitudes of two earthquakes differ by 1 on the Richter scale. Find the ratio of the released energy of the larger earthquake to that of the smaller earthquake.

Q: Suppose that w varies directly as x and the square of y and inversely as the square oot of z. If x…

A: Given query is to find percentage increase in w when indicated percentage increase happened in…

Q: 4. The distance travelled by a man driving at the rate of 60 kph

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Q: Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30miles per hour. In miles…

A: Recall the equation connecting the three variables of speed, distance and time as: time = distance /…

Q: The gravitational force, F, between an object and the Earth is inversely proportional to the square…

A:

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: 1. The frequency of a vibrating string under constant tension is inversely proportional to its…

A: The answer is given as follows.

Q: The frequency of a vibrating string under constant tension is inversely proportional to its length.…

A:

Q: percentage of the total number of shafts will be tolerable?

A:

Q: For a car moving at a constant speed, the distance traveled varies directly with the time spent…

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Q: If you travel one mile in 59 seconds, what is your approximate average speed? What is your exact…

A: Since, it is given that if we travel one mile in 59 seconds, then our aimis to tell the average…

Q: The weight of a person relative to the Earth is inversely proportional to the square of the person’s…

A: According to given information Where W is weight (in pounds) of astronaut, d is distance (in miles)…

Q: For each ratio of the side of the model and the corresponding side in the real-life building,…

A:

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the…

A: Time (T) is proportional to the length of the highway (L) and inversely proportional to the number…

Q: The distance between two cities is 1700 km. How long will it take, in h, to drive from one city to…

A: given :-  distance  = 1700km speed      = 63mi/h                 = 63 X  1.609km/n

Q: The sum of two consecutive odd integers is −112. What is the largerinteger?

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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 distance that a body falls from rest is directly proportional to the square of the time of the…

A: The distance that a body falls from rest is directly proportional to the square of the time of the…

Q: If a plane travels from NAIA to Bagasbas Airport at 500 kph and back along the same route at 300…

A:

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: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A:

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 f diagram

A: Given, a fence 20 feet tall runs parallel to a tall building at a distance of 5 it from the building…

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Let's find initially present bacteria.

Q: The strength of magnetic force varies inversely with the square of the distance between the magnets.…

A: Given query is to find the work required to move the magnets.

Q: How strong is the relationship between the average monthly temperature and the number of homicides…

A: The question is based on a correlation Given data :

Q: The velocity v of a falling object varies directly to the time, t, of the fall. If after 2 seconds,…

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: Under constant temperature, the volume occupied by a gas varies inversely to the pressure applied.…

A: The given data is: If the gas occupies a volume of 22 cubic inches under a pressure of 7 pounds per…

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the…

A: The time taken to built the highway is directly proportional to length     t   ∝  L And inversely…

Q: In the electric currect​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A: Given: Resistance R1=0.422 ohm Diameter D1=0.01 inches Given resistance offered by a fixed length…

Q: At an average speed of 56 km/h how far can you travel in 6 hours?

A: Given: Average speed=56 km/h To Find: Distance traveled in 6 hours

Q: A ball is dropped from a height of 50 meters. If each bounce brings it to 90% of its previous…

A:

Q: The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is…

A: Given : The speed of a bicycle is 4.5 m/s

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Given: The Force (F) that is needed to keep a car from skidding on a curve varies inversely as the…

Q: If you drive from New York to Boston at 55 MPH, and return at 75 MPH. What is your overall average…

A: The drive from New York to Boston at 55 MPH, and return at 75 MPH.

Q: The relationship between the time elapsed and the distance traveled for three different cars is…

A:

Q: The number of long distance phone calls between two cities in a certain time period varies jointly…

A: Given: The number of long distance phone calls between two cities in a certain time period varies…

Q: Select the tables that show a proportional relationship between x and y.

A: Given,            Two tables shown below:        x        y        2        5        4…

Q: The depth of a diver is directly proportional to the time since the diver entered the water. If it…

A: Given that , the depth of diver is directly proportional to the time.

Q: If an earthquake has an intensity of 21,000 times I0​, what is the magnitude of the​ earthquake?

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Q: The volume of a gas is inversely proportional to the pressure. If a pressure of 18 pounds per square…

A:

Q: The distance a ball rolls down an inclined plane is directly proportional to the square of the times…

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

A:

Q: The shelf life of a perishable commodity varies inversely with the storage temperature. If the shelf…

A: Shelf life of a perishable commodity≈1storage temperature   At 10 degrees C:                  Shelf…

Q: Suppose the length of a rectangular  solid increases by 15 percent, the width decreases by 25…

A: Consider l, w and h as the length, width and height of a rectangular solid.And consider the measure…

Q: The distance that a body falls from rest is directly proportional to the square of the time of the…

A: Given data: Consider the distance traveled by a body is "y=144 ft", and time is "t". As per the…

Q: The weight of an airplane including cargo varies as the square of the velocity and the…

A: NOTE: Refresh your page if you can't see any equations. . w=weight  v=velocity A=area . The weight…

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A:

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.