y = 70000(0.5)^(x/4), where x equals the number of hours.
(Attached is an image with the equation properly formatted.)
The function for exponential decay is <em>y = a(1 - b)^x</em>, where y is the final amount, a is the starting amount, b is the decay percentage in decimal form.
So, just fill in the values.
y = 70000(1 - 0.5)^x
y = 70000(0.5)^x
In this case however, x represents the number of sets of four hours, so we should probably divide x by 4 to make x represent the number of hours.
y = 70000(0.5)^(x-4)
Given an isosceles triangle with a leg length of 24 inches and a perimeter of 82 inches.
This means that the length of the other side is 82 - 2(24) = 82 - 48 = 34 inches
Given that the triangle is rotated about a line that passes through points B and D, point D being the midpoint of line AC.
Then, the resulting <span>three-dimensional figure will be a cone with a base radius equal to the length of line AD (i.e. half of the length of line AC being the other side of the isosceles triangle).
The base radius of the resulting cone is 1/2 (34) = 17 inches</span>.
Therefore, the resulting <span>three-dimensional figure is a cone with base radius of 17 in</span>ches.
Hey there!
The simplified equation is ![8 + 6m](https://tex.z-dn.net/?f=8%20%2B%206m)
To do this, we must distribute the 2 to the other numbers:
![2(4+3m)](https://tex.z-dn.net/?f=2%284%2B3m%29)
![8 + 6m](https://tex.z-dn.net/?f=8%20%2B%206m)
Hope it helps and have a great day!
Answer:
96 units^2
Step-by-step explanation:
(8*24)/2=96