The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
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Answer:
18.84 ft
Step-by-step explanation:
The formula for the circumference of a circle is C = πd or C = 2πr
We will use C = 2πr since we have r given in the photo
- We just need to substitute our values into the formula:
- C = 2(3.14)(3) = 18.84 ft
Answer:
12 feet
Step-by-step explanation:
Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!
We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:

Plug in known values:

Rearrange to isolate the variable:

Simplify!

Round to the nearest foot:

Answer:
Step-by-step explanation:
First you have to change your fraction:
Change 7/4 into a mixed number
7/4 = 1 3/4
Then you 'guestamate' about 3/4 of the distance between 1 and 2 and mark your point. Like this:
Hope this helps
It’d be B, -2
You move right one space and then down two spaces