Answer:
x = 4
8(4) - 2 = 30
15(4) = 60
All triangles equal 180 degrees and there is already a right angle. 60 plus 0 is 90, and 90 plus 90 (or 90 times 2) is 180
60 + 30 = 90
90 + 90 = 180
Step-by-step explanation:
There are 651.335 million cells in the petri dish after 11 hours and the cells will reach 1 billion cells after 14.068 hours
<h3>How to determine the number of cells after 11 hours?</h3>
The given parameters are:
At t = 0, Bacteria = 140 million
At t = 6, Bacteria = 320 million
This can be represented as:
f(0) = 140
f(6) = 320
An exponential function is represented as:
f(t) = f(0) * r^t
When t = 6, we have:
320 = 140 * r^6
Divide both sides by 140
r^6 = 2.28571428571
Take the 6th root of both sides
r = 1.15
So, we have:
f(t) = f(0) * 1.15^t
Substitute f(0) = 140
f(t) = 140 * 1.15^t
After 11 hours, we have:
f(11) = 140 * 1.15^11
Evaluate
f(11) = 651.33
Hence, there are 651.335 million cells in the petri dish after 11 hours
Time to reach 1 billion cells
This means that
f(t) = 1 billion i.e. 1000 million
So, we have:
1000 = 140 * 1.15^t
Divide by 140
1.15^t = 7.14285714286
Take the logarithm of both sides
t * log(1.15) = log(7.14285714286)
Divide both sides by log(1.15)
t = 14.068
Hence, the cells will reach 1 billion cells after 14.068 hours
Read more about exponential functions at:
brainly.com/question/2456547
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Inflection at f'(x) = 0
<span>
x^1/2 / (1 + x + x^3) = 0 </span>
<span>The x coordinate is x = 0 </span>
<span>
or "C" from your choices there. </span>
<span>The simplest way is to notice that this happens when x = 0. The reason is you got: </span>
<span>
x^1/2 / (some expression) </span>
<span>
at x = 0 the numerator is 0 so unless the denominator is also 0 the result is 0. </span>
<span>
The denominator for x = 0 is 1 so you get </span>
<span>
0/1 = 0.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
Answer:
26
Step-by-step explanation:
Problem: f(x) = 28 + x + 7
Plug in f(-9)
New equation: f(-9) = 28 + (-9) + 7
Simplify: f(-9) = 26
<u>Answer: f(-9) = 26</u>
