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Nesterboy [21]
3 years ago
15

Find the suitable rearrangement for 1+2+3+4+896+897+898+899​

Mathematics
1 answer:
Trava [24]3 years ago
8 0

Answer:

steps below

Step-by-step explanation:

1+2+3+4+896+897+898+899

= (1+899)+(2+898)+(3+897)+(4+896)

= 900 + 900 + 900 + 900

= 3600

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Tim measures the length of four grasshoppers in his backyard: 5/4 cm, 7/4 cm, 9/4 cm, and 3/4 cm. What is the average length.​
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A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i
Over [174]

Answer:

a) \frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

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If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

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Where t represent the number of hours

b) C(5) = 100 e^{-0.16*5}= 44.9329

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

\frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

C(5) = 100 e^{-0.16*5}= 44.9329

7 0
3 years ago
Jazmin has 5 movies that are dramas, 8 comedy movies, and 11 adventure movies in her movie collection. What is the ratio of adve
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There are numerous important information's already given in the question. Based on those information's the answer to the question can be easily determined.
Number of movies that are drama = 5
Number of comedy movies = 8
Number of adventure movies = 11
Total number of movies that Jazmin has = 5 + 8 + 11
                                                                 = 24
Then
Ratio of adventure movies to the total number of movies = 11:24
This ratio of 11:24 cannot be simplified further. So this is the answer to the given question. I hope the procedure is clear enough for you to understand.
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