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Ostrovityanka [42]
3 years ago
15

A scientist counts 25 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 25

∙ 3x models the number of bacteria after x hours. Estimate when there will be about 1170 bacteria in the culture
Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0

the answer is 2.5 hours

Ksju [112]3 years ago
6 0
y = 25\cdot~3^x\\ \\ 1170 = 25\cdot~3^x\\ \\ \frac{1170}{25} = 3^x\\ \\ \frac{243}{5} = 3^x\\ \\ log\ \frac{243}{5} = log~3^x\\ \\ log~243-log~5=x~log~3\\ \\ 
 log~3^5-log~5=x~log~3\\ \\ 5~log~3-log~5 = x~log~3\\ \\ 5(0,48)-0,70= 0,48x\\ \\ 2,4-0,7 = 0,48x\\ \\ 1,7=0,48x\\ \\ x=\frac{1,7}{0,48}\\ \\ \large{\boxed{x=3,54\ h}}
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neonofarm [45]

Answer:

Its 9.0 units

Step-by-step explanation:

For the side mostly to the left, its gonna be 3 units, since we can easlily count it

Now, for the diagonals, we have to use the formula for the area of a triangle, which is (l * w) / 2 = a.

For the bottom side, its 3 along the x axis and 1 along the y axis. 3 * 1 is 3, now divide that by 2 and you got 1.5

Now, for the right side, its 5 on the y, 1 on the x. Multiply 1 by 5, you got 5. Now divide that by 2 and you have 2.5

Finally, for the top side, its 4 on the x, and 1 on the y. 4 * 1 is 4, divided by 2 and its 2.

Alright, now we have to add 'em all together. 3 + 1.5 + 2.5 + 2 is 9 units

Theres your answer :)

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Answer:106

Step-by-step explanation:

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