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PtichkaEL [24]
2 years ago
13

A chest shaped as a rectangular prism can hold 432 wooden cube blocks with edge lengths of 1/3 ft.

Mathematics
2 answers:
Savatey [412]2 years ago
8 0

Volume of one cube:-

  • (1/3)^3=1/27

Volume of chest

  • 432(1/9)=16ft^3
muminat2 years ago
7 0

Answer:

16 ft³

Step-by-step explanation:

Volume of 1 cube = 1/3 x 1/3 x 1/3 = 1/27 ft³

Volume of 432 cubes = 432 x 1/27 = 16 ft³

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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
Anettt [7]

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

k is the growth rate

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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3 years ago
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marissa [1.9K]

Step-by-step explanation:

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3 years ago
The equation v/2 -21=-15 is solved in several steps below.
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Answer:

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Step-by-step explanation:

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