(a) Interpretation: From the graph the value of m and b in the equation y = mx + b is to be determined. Concept introduction: The scope of the measurement depends upon the context and event. Measurement is commonly used as an international system of unit as a comparison framework. Two variables such as mass (m) and volume (V) can be described as directly proportional one on other by the expression m α V. Besides, the term density is given by the mass of the given substance per unit volume. Moreover, slope is the ratio of the change in the value of ‘y’ with respect to change in the value of ‘x’.
(a) Interpretation: From the graph the value of m and b in the equation y = mx + b is to be determined. Concept introduction: The scope of the measurement depends upon the context and event. Measurement is commonly used as an international system of unit as a comparison framework. Two variables such as mass (m) and volume (V) can be described as directly proportional one on other by the expression m α V. Besides, the term density is given by the mass of the given substance per unit volume. Moreover, slope is the ratio of the change in the value of ‘y’ with respect to change in the value of ‘x’.
Solution Summary: The author explains that the scope of measurement depends upon the con and event. Mass (m) and volume (V) can be described as directly proportional one on another by the expression m V.
From the graph the value of m and b in the equation y = mx + b is to be determined.
Concept introduction:
The scope of the measurement depends upon the context and event. Measurement is commonly used as an international system of unit as a comparison framework. Two variables such as mass (m) and volume (V) can be described as directly proportional one on other by the expression m α V. Besides, the term density is given by the mass of the given substance per unit volume. Moreover, slope is the ratio of the change in the value of ‘y’ with respect to change in the value of ‘x’.
Interpretation Introduction
(b)
Interpretation:
The proportional relationship between x and y is to be stated.
Concept introduction:
The scope of the measurement depends upon the context and event. Measurement is commonly used as an international system of unit as a comparison framework. Two variables such as mass (m) and volume (V) can be described as directly proportional one on other by the expression m α V. Besides, the term density is given by the mass of the given substance per unit volume. Moreover, slope is the ratio of the change in the value of ‘y’ with respect to change in the value of ‘x’.
Interpretation Introduction
(c)
Interpretation:
The value of x, when the value of y = 25.00 is to be determined.
Concept introduction:
The scope of the measurement depends upon the context and event. Measurement is commonly used as an international system of unit as a comparison framework. Two variables such as mass (m) and volume (V) can be described as directly proportional one on other by the expression m α V. Besides, the term density is given by the mass of the given substance per unit volume. Moreover, slope is the ratio of the change in the value of ‘y’ with respect to change in the value of ‘x’.
While being driven from Philadelphia to Atlanta, a distance of about 1250 km, a 2014 Lamborghini Aventador Roadster uses 213 L gasoline.(a) What (average) fuel economy, in miles per gallon, did the Roadster get during this trip?(b) If gasoline costs $3.80 per gallon, what was the fuel cost for this trip?
A graduated cylinder (measuring cylinder) contains 27 mL of water at 25 °C and the
mass of the water is 26.92 g. A sphere of iron with a diameter of 18.0 mm is added to
the water in the graduated cylinder. The total mass of the water and the iron is 50.92 g.
(The volume of a sphere is given by the expression: V = (4/3)ar³).
(i) Calculate the total volume of the water and the iron in the graduated cylinder.
(ii) Determine the density of iron at 25 °C? Show your calculations.
(iii) Without doing any calculations, what do you think the density of 48.00 g of iron is
at the same temperature? Explain your answer.
After sitting on a shelf for a while, a can of soda at a room temperature (69°F)
is placed inside a refrigerator and slowly cools. The temperature of the
refrigerator is 37°F. Newton's Law of Cooling explains that the temperature
of the can of soda will decrease proportionally to the difference between the
temperature of the can of soda and the temperature of the refrigerator, as
given by the formula below:
T = Ta + (To – Ta)e¬kt
the temperature surrounding the object
To = the initial temperature of the object
t = the time in minutes
the temperature of the object after t minutes
k = decay constant
T
The can of soda reaches the temperature of 54°F after 40 minutes. Using
this information, find the value of k, to the nearest thousandth. Use the
resulting equation to determine the Fahrenheit temperature of the can of
soda, to the nearest degree, after 95 minutes.
Enter only the final temperature into the input box.
Chapter 3 Solutions
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