Answer:
D is the answer
64,000 exponential function
Step-by-step explanation:
64,000 exponential function
The number of bacteria in a colony doubles every 210 minutes.
The population of bacteria = 8000
Determine how many times the population will double.
= 3
Multiply the population by 2 a total of 3 times.
8000 × 2³ = 64,000
The answer choices are sufficiently far apart that you can work this backward. The sum will be ...
236,196*(1 + 1/3 + 1/9 + 1/27 + ...)
so a reasonable estimate can be given by an infinite series with a common ratio of 1/3. That sum is
236,196*(1/(1 - 1/3)) = 236,196*(3/2)
Without doing any detailed calculation, you know the best answer choice is ...
354,292
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There are log(236196/4)/log(3) + 1 = 11 terms* in the series, so the sum will be found to be 4(3^11 -1)/(3-1) = 2*(3^11-1) = 354,292.
Using the above approach (working backward from the last term), the sum will be 236,196*(1-(1/3)^11)/(1-(1/3)) = 236,196*1.49999153246 = 354,292
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* If you just compute log(236196/4)/log(3) = 10 terms, then your sum comes out 118,096--a tempting choice. However, you must realize that the last term is larger than this, so this will not be the sum. (In fact, the sum is this value added to the last term.)
60,000+3,000+20+9 in standard form is 6.3029 x 10^4.
Hope this helps you!
-Hamilton1757
The answer is 64 because they are alternate interior angles. Alternate interior angles are always congruent.
This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.
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- Evan budgeted $60 for the taxi ride.
- He went $15 over, thus, the taxi ride cost $75.
- In Chinese yuans, the cost was 375.
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75 dollars are worth 375 yuans. How much yuans is a dollar worth?
1 dollar - x yuans
75 dollars - 375 yuans
Applying cross multiplication:
Evan gets 5 Chinese yuans for every Australian dollar.
A similar question is given at brainly.com/question/23352001
