Given parameters:
Diameter of the malt balls = 0.8in
Dimensions of the prism = 4in x 3in x 7.5in
Unknown:
Number of malt balls that will fit in the carton = ?
Solution:
To solve this problem, we need to find the volume of each of the malt balls, and then the volume of the rectangular prism.
Volume of the malt balls = 
This is because we assume that the balls have a spherical shape.
Where r is radius and π is a constant
Radius of the malt balls = 
= 0.4in
So, volume = 
= 0.27in³
Volume of the rectangular prism = l x w x h
where l is the length
w is the width
h is the height
So the volume is 4 x 3 x 7.5 = 90in³
The number of malt balls that can be packed here = 
= 333 malt balls
Given:
The price of shoes after discount = 27
Discount % = 40%
To find:
The original price of shoes before discount.
Solution:
Let x be the original price of shoes before discount.
The price of shoes after 40% discount is
The price of shoes after discount = 27
Therefore, the original price of the shoes is 45.
C -21 because -21 as a absolute value is 21
Answer:
The correct options are:
Option B) 
is never zero.
Option F) When x=0, y≠0
Step-by-step explanation:
Consider the provided function.
When we substitute x=0 in above function we get:
When we substitute x=-1 in above function we get:
When we substitute x=1 in above function we get:
The above function is exponential function which does not pass through the origin and the range of the function is a positive number.
The graph of the function is shown in figure 1.
Now consider the provided options.
Option A) is always greater than or equal to 1.
The option is incorrect as the value of the function is less than 1 for negative value of x.
Option B) is never zero
The option is correct.
Option C) When y=0, x=0
The option is incorrect.
Option D) When x=0, y=4
When x=0 the value of y is 1.
Thus, the option is incorrect.
Option E) is zero when x=0
When x=0 the value of is 1.
Thus, the option is incorrect.
Option F) When x=0, y≠0
The option is correct as 0≠1.
