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jarptica [38.1K]
3 years ago
5

A non-food crop is infected by pests on the 1st of a month. The pests infect the crop in such a way that the area infected doubl

es after each month. If the pests continue to infect the crop in this way, the non-food crop will be entirely infected after the sixth month. After which month will one-eighth of the non-food crop be infected?
A. One-eighth of the non-food crop will be infected after the fifth month.
B. One-eighth of the non-food crop will be infected after the third month.
C. One-eighth of the non-food crop will be infected after the fourth month.
D. One-eighth of the non-food crop will be infected after the second month.
Mathematics
1 answer:
Brut [27]3 years ago
7 0

Answer: C - the fourth month


Step-by-step explanation: If it doubles every month, then at 6 months there should be 32 times the original affected area. 1/8 of 32 is 4.

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Answer:

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This is an exponential equation that can be represented by the following:

f(x) = a(b)^x

In this case...

25143 = a(0.66)^3

25143 is the population after 3 hours.

3 is the amount of time in hours.

0.66 represents the percent of the population remaining after each hour (66% as there is a 34% decline each hour).

We must solve for a, which is the initial population.

First, simplify (0.66)^3 to 0.2874.

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Now divide both sides by 0.2874 to isolate a.

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There were initially 87,455 people within the city. I wouldn't want to be in that place!
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=3x%20%7B%20%7D%5E%7B2%7D%20%20%3D%20%20-%2054%20" id="TexFormula1" title="3x { }^{2} = - 54
valkas [14]

Answer:

No real solutions

Step-by-step explanation:

Divide both sides by 3

3x^3/3=-54/3

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Take square root

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Based on the information given, the speed is 20 miles per hour.

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Note that 54 minutes = 0.9 hour.

The speed will be:

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= 18/0.9

= 20 miles per hour.

Learn more about speed on:

brainly.com/question/4931057

3 0
2 years ago
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