A module house is made by sticking a triangular prism on top of a rectangular block, as shown in the diagram.
1 answer:
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The solution set for the last equation represents the set of all days when the towns have the same average high temperature.
- The hotness of matter or radiation is expressed by the physical quantity known as temperature. The average air temperature for a specific time period, often a day, a month, or a year, as measured by a thermometer that has been properly exposed.
- P(t) is the average high temperature, in degrees Celsius, of Paityn's town on t days.
- V(t) is the average high temperature, in degrees Celsius, of Vince's town on t days.
- So, P(t) = V(t) represents the set of all the days when both towns have the same average high temperature.
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Answer:
Joint variation states that:
If z is directly proportional to x and inversely proportional to y,
i.e, ,
then the equation is in the form: where k is the constant of variation.
From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature
i.,e ,
by definition of joint variation:
.....[1] where k is the constant of variation.
It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).
Substitute these given values in [1] to solve for k;
Simplify:
Divide by 200 both sides we have;
Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.
To find the volume (V);
Now substitute the given data and value of k in [1] we have;
Therefore, the Volume of a gas is, 4 liters