Answer:
15595 bacteria will be present after 13 hours.
Step-by-step explanation:
Continuous population growth:
The continuous population growth model, for the population after t hours, is given by:
In which P(0) is the initial population and r is the growth rate.
Started with 5000 bacteria
This means that 
So
After three hours it grew 6500 bacteria:
This means that 
. We use this to find r.
So
How many bacteria will be present after 13 hours?
This is P(13). So
Rounding to the nearest whole number
15595 bacteria will be present after 13 hours.
Answer:
they are opposites
Step-by-step explanation:
Answer:
The Answer is: The first number is 10 and the second number is 8.
Step-by-step explanation:
Let f = first number and s = second number.
The first number is 2 larger than the second:
f = n + 2
The numbers times each other is 80:
f * n = 80
Substitute the value of f, which is (n + 2):
n(n + 2) = 80
n^2 + 2n = 80
n^2 + 2n - 80 = 0
(n + 10)(n - 8) = 0
n^2 + 10n - 8n - 80 = 0, so the first number is 10 and the second one is 8.
Another method, just from thinking about it:
factor 80:
8 * 10, is the first factoring I thought of. I then noted that the difference between the two is 2 and if you multiply them they equal 80.
Hope this helps! Have an Awesome Day!! :-)
Answer:
A = 12.56 m²
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Geometry</u>
- Area of a Circle: A = πr²
- d = 2r
Step-by-step explanation:
<u>Step 1: Define</u>
d = 4 m
<u>Step 2: Find </u><em><u>r</u></em>
- Substitute: 4 = 2r
- Isolate <em>r</em>: 2 = r
- Rewrite: r = 2 m
<u>Step 3: Find Area</u>
- Substitute: A = π(2)²
- Substitute: A = (3.14)(2)²
- Evaluate: A = (3.14)(4)
- Multiply: A = 12.56 m²
Answer:
The measure of ∠D = (Q) = 28.81
Step-by-step explanation:
Tan(Q) = perpendicular/ base
In this case perpendicular is BC and base is DC
BC =25 DC = 45
Tan(Q) = BC/DC
Tan(Q) = 25/ 45
Tan(Q) = 5/ 9
(Q) = tan^ -1 (0.55)
(Q) = 28.81
