Emma says the GCF of 16 and 12 is 48. Her friend Grace says the answer is 4. Who is right? Explain.
2 answers:
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Answer:
285541
Step-by-step explanation:
According To The Question,
- Given, A culture of bacteria has an initial population of 41000 bacteria and doubles in every 5 hours &
.
Now, for the population of bacteria in the culture after 14 hours is . We have Initial Population(
)=41000 , d=14 & t=5 .
Put These Value in Above Formula, We get
285540.5847 ≈ 285541
Pay attention here because I'm adding an extra letter to our circle to help keep track of the values in our formula. OUTSIDE of the intercepted arc I'm adding the point E. So the major arc is arc BEG and the minor arc is arc BG. The formula then for us is ∠
. We just don't have values for the arcs yet. If the measure of the central angle is 4x+238, then the measure of arcBG is also 4x+238. Around the outside of the circle is 360°. So we will use it in an expression. ArcBEG=360-(4x+238). Fitting that into our formula we have ![2x+146= \frac{1}{2}[(360-4x-238)-(4x+238)]](https://tex.z-dn.net/?f=2x%2B146%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%28360-4x-238%29-%284x%2B238%29%5D%20)
. Doing all the simplifying inside there we have 
and 
. Multiply both sides by 2 to get rid of the fraction: 4x+292=-8x-116. Combine like terms to get 12x = -408 and divide to solve for x. x = -34. Fourth choice down from the top.