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igomit [66]
2 years ago
13

Summer hw still hurts

Mathematics
1 answer:
bulgar [2K]2 years ago
7 0

[4] Answer: (-4, 1)

[5] Answer: Infinite solutions

<em>         See attached for the graphs.</em>

Step-by-step explanation:

      The solution to a system of equations, when graphing, is the point of intersection. In other words, the point at which the lines intersect each other.

      In the case of problem 5, the equations are equal so they overlap. This means there are infinite solutions.

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5.73 x 10^2 in standard form
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573

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
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Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

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N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

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there are 400 students and 4/5 have purchased tickets there needs to be 2 chaperones for every 75 students how many chaperones a
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Answer:

5 chaperones are needed.

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