The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
a) As the base of the exponent is greater than 1 so it is exponential growth.
b) 500 in the equation represents the initial value.
c) We have another exponential equation:
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.
Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
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The amount of water left = 21.3 gallons.
We have a leaking pond which looses 18 gallons of water in 34 hour.
We have to determine how many gallons of water will be left after 41 hours.
<h3>What do you understand by gallon?</h3>
The gallon is a unit of volume in imperial units and United States customary units.
I gallon = 231 cubic inches = 3.785411784 liters.
According to question, we have -
Amount of water lost by the pond in 34 hours = 18 gallons
Therefore -
Amount of water lost by the pond in 1 hour = 
So, the amount of water loosed by the pond in 41 hours = 
= 21.3
Hence, the amount of water left = 21.3 gallons.
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<h3>
Answer: D) y+3</h3>
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Explanation:
Point A is located at (3,1). Point A' is located at (-5,4)
To move from A to A', we'll do two things:
- Move 8 units to the left
- Move 3 units up
The "8 units to the left" portion has us go from x to x-8
The "3 units up" part involves y becoming y+3
So that's how we get the translation rule 
. The x-8 portion is already filled in for us. The missing part is y+3 which is the final answer (choice D).
Let's try this translation rule on point B to see if we arrive at the proper location of B'
B is at (2,6) which means
which matches up what the diagram shows. I'll let you verify that the rule also works for point C.
Answer:
M = (3, 3.25)
Step-by-step explanation:
First, using the internal selection formula
Given
m:n = 3:5
(x1,y1) =(0,1)
(x2,y2) =(8,7)
![M={[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}](https://tex.z-dn.net/?f=M%3D%7B%5B%28mx2%2Bnx1%29%2F%28m%2Bn%29%5D%2C%5B%28my2%2Bny1%29%2F%28m%2Bn%29%5D%7D)
M = (3, 3.25)
2.
M is the point on XY that is 3/8 of the way from X to Y.
x-coordinate of M = 0 + (3/8)(8) = 0 + 3 = 3
y-coordinate of M = 1 + (3/8)(6) = 1 + 2.25 = 3.25
So, M = (3, 3.25)
or (3, 3 1/4)
D no Solution would be the answer
