What is the definition of exponential growth
2 answers:
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First question.
We will build up the 3-dimensional object from the dimensions shown in the view above. In doing this, the object is as shown in figure 1. So, we need to find the volume of this object. Let's cut off this object into two objects, so in doing this we can find the whole volume as the sum of the volume in green plus the volume in red (both are cubes), so:
So the answer is G.
Second question
The answer is D. Let's analyze it:
Given that r represents the radius of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:
These are the values of n shown in the table above.
We will build up the 3-dimensional object from the dimensions shown in the view above. In doing this, the object is as shown in figure 1. So, we need to find the volume of this object. Let's cut off this object into two objects, so in doing this we can find the whole volume as the sum of the volume in green plus the volume in red (both are cubes), so:
So the answer is G.
Second question
The answer is D. Let's analyze it:
Given that r represents the radius of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:
These are the values of n shown in the table above.
let the number of
- adults be x
- children be y
Total number of people : adults + children
- x + y = 240
- x = 240 - y - [1]
Total money earned from adults :
- 6 × x = 6x
Total money earned from children :
- 2 × y = 2y
Therefore, total money = money earned from each Adult and children.
- 6x + 2y = 1200 -[2]
Now, let's plug the value of x from equation [1] into equation [2]
- 6 (240 - y) + 2y = 1200
- 1440 - 6y + 2y = 1200
- -4y = 1200 - 1440
- -4y = - 240
- y = 60
let's plug the value of y in equation [1]
- x = 240 - y
- x = 240 - 60
- x = 180
Hence, we get :
- total adults = x = 180
- total children = y = 60
Correct option is C
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