5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were pre
1 answer:
You might be interested in
Answer:
Part A)
The height of the water level in the rectangular vessel is 2 centimeters.
Part B)
4000 cubic centimeters or 4 liters of water.
Step-by-step explanation:
We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.
Therefore, the total volume of water in the cubical vessel is:
This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.
Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:
Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:
Therefore:
So, the height of the water level in the rectangular vessel is 2 centimeters.
To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.
The maximum value of the rectangular vessel is given by :
Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:
Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.
The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.
<h3>What is a mathematical model?</h3>A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.
The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.
The demand for Model Z is estimated as
Here, <em>p</em> is the price of Model Z.
Consider the following two statements:
- 1. When the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X.
- 2. When the average gasoline price q increases by $1, the demand at the revenue-maximizing price (i.e., D(p*)) increases by a factor of Y.
Put the value of demand at the revenue-maximizing price as,
Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.
Learn more about the mathematical model here;
#SPJ1