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3 years ago

The sum of three consecutive integers is 33. What are the numbers?

Mathematics

1 answer:

Alborosie3 years ago

4 0

Answer:

10,11,12

Step-by-step explanation:

Divide 33 by 3 and get 11. So the number 11 a number 1 less than 11 and a number one more than 11 will get you the correct answer.

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A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is

Luba_88 [7]

Answer:

$P(t) = 100e^{0.0251t}$

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that $P(0) = 100$ . So

$P(t) = 100e^{kt}$

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that $P(60) = 450$ , and we use this to find k. So

$450 = 100e^{60k}$

$e^{60k} = 4.5$

$\ln{e^{60k}} = \ln{4.5}$

$60k = \ln{4.5}$

$k = \frac{\ln{4.5}}{60}$

$k = 0.0251$

$P(t) = 100e^{0.0251t}$

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

$200 = 100e^{0.0251t}$

$e^{0.0251t} = 2$

$\ln{e^{0.0251t}} = \ln{2}$

$0.0251t = \ln{2}$

$t = \frac{\ln{2}}{0.0251}$

$t = 27.65$

The doubling time is of 27.65 minutes.

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3 years ago

Jeff mixed together 2 cups of grapefruit juice and 5 3/4 cups of lemon-lime soda to make punch. How many cups of punch did Jeff

Darina [25.2K]

Jeff made 7 cups . Hope I helped

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4 years ago

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T=3n-1 what is the 6th term

3241004551 [841]

Plug in 1 for n and solve, then plug in 2, and so on until you get to 3(6)-1=17

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3 years ago

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What number will the function return if the input is 15.4?

wlad13 [49]

The rule of the function is to multiply the input by 3, since one yard is equal in length to three feet.

So, if the input is 15.4, the output will be

$f(x)=3x \implies f(15.4)=3\cdot 15.4 = 46.2$

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3 years ago

A diner has a breakfast special. A customer can chose scrambled, fried, or poached eggs. The breakfast comes with a side of baco

Kryger [21]

3x3x3=27

So, there are 27 combinations.

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3 years ago

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