The exponential function is given by y = 160(1.06)ˣ
<h3>
Exponential function</h3>
An exponential function is in the form:
y = abˣ
where a is the initial value of y, b is the multiplier, y, x are variables.
Let y represent the amount of bacteria after x hours.
Given an initial 160 bacteria, hence a = 160.
Also b = 100% + 6% = 106% = 1.06
The exponential function is given by y = 160(1.06)ˣ
Find out more on Exponential function at: brainly.com/question/12940982
Answer:
28 square units
Step-by-step explanation:
These vertices are written in the form of their x and y coordinates. Let
A=(1,2) ; B =(1,-5) ; C =(5, -5) ; D=(5,2)
The x points are 1, 1, 5, 5
The y points are 2,-5, -5, 2
The x extremes range from 1 to 5. The length in-between is 5-1 = 4
The y extremes range from -5 to 2. The length in-between is 2-(-5) = 7
Area of the polygon enclosed by the coordinates
= 4 x 7 = 28 square units
Answer:
Step-by-step explanation:
Given:
The equation of the known line is:
A point on the unknown line is (-4, 4)
Now, since the two lines are parallel, their slopes must be equal.
Now, slope of the known line is the coefficient of 'x' which is 
.
Therefore, the slope of the unknown line is also 
Now, for a line with slope 'm' and a point on it 
is given as:
Here, 
. Therefore,
Hence, the equation of the unknown line is .
y = abˣ
20 = ab¹
20 = ab
b b
20/b = a
y = abˣ
4 = (20/b)b²
4 = 20b
20 20
¹/₅ = b
y = abˣ
20 = ¹/₅b¹
20 = ¹/₅b
¹/₅ ¹/₅
100 = b
y = abˣ
y = 100(0.2)ˣ
