Answer:
The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
Step-by-step explanation:
Exponential equations are usually in the form;

where;
a is the initial value, that is the value of y when x is 0,
b is the growth or decay factor and also the base of the exponential function
If b>1, then it is an exponential growth function and the values of y keep getting bigger.
if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.
In the function given;

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.
From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.
Answer:
D) 3456 m
Step-by-step explanation:
Diameter of the cone = 48 m
Hence radius of the cone =
= 24 m
Height of the cone = 18 m
Volume of a cone is given as ![\[\frac{1}{3}*pi*radius^{2}*height\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2Aradius%5E%7B2%7D%2Aheight%5C%5D%0A)
= ![\[\frac{1}{3}*pi*24^{2}*18\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A24%5E%7B2%7D%2A18%5C%5D%0A)
= ![\[\frac{1}{3}*pi*10368\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A10368%5C%5D%0A)
= ![\[pi*3456\] ](https://tex.z-dn.net/?f=%5C%5Bpi%2A3456%5C%5D%0A)
Hence among the given options, option D is the correct one.
Y = 10
-4 * 10 = 40
Hope this helps!!!:):):)
Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (6, 4)
d = 
= 
= 
= 
= 5
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