Decrease = New number - Original Number
% Decrease =

× 100
Decrease = 9 - 12 = -3
% Decrease =

= -0.25 × 100 = -25
Your answer =
-25
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:

Where,
is the initial value, k is the growth constant and t is the number of years.
Putting
in the above formula, we get



Taking ln on both sides, we get

![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)



Therefore, the number of bacteria will be 15,000 after 0.575 hours.
Answer:
The new point is at (5, -5)
Step-by-step explanation:
When a point is being translated down, they are being subtracted on the y-value. So all you have to do is subtract 9 from 4 and we end up with -5, our new y-value.
(5, -5)
Answer:
A) y = x - 3/4
Step-by-step explanation:
The equation of the line with slope m and intercept b is
y = mx + b
Here were have slope = m = 1.
y-intercept = b = -3/4
Equation:
y = mx + b
y = 1x + (-3/4)
y = x - 3/4
Answer: A) y = x - 3/4
Answer: 1.5
Step-by-step explanation:Let the standard deviation of the shoe size be represented by ' ' and the mean shoe size be represented by ' = 7.5'. Also, the sizes of the shoe be represented by ' '. So, . Hence, the standard deviation of the shoe size data for the math class is 1.5.