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4 years ago

15

What is 44/6 as a mixed number?

1 answer:

sammy [17]4 years ago

7 0

It would be 7 on the side and then 2/6

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Which of the lines graphed has a slope of 3 and a y-intercept of 2?

marshall27 [118]

Answer:

Step-by-step explanation:

I can't really see the graphs very well but it is either A or B.

If you want to find your answer, see which line starts at 2 on. the y line. From there using your finger go up 3 and right 1

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Im trying to find the measure of the numbered angle:)??

bazaltina [42]

3 and 2 would be 122 since 3 and the 58° are a linear pair making them add up to 180. And 3 and 2 are vertical so they would be congruent.
4 would then have to be 38 since the three angles would have to measure up to 180.
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Disclamier (I might have done some math wrong since I did it in my head.)

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Chris and Mikala each got a candy bar that were the same size. Chris cut his

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3 years ago

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

$450 = 100e^{60k}$

$e^{60k} = 4.5$

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

$60k = \ln{4.5}$

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

$k = 0.0251$

So

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

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

What is the solution to 3x + 7 < 19? x < 4 x > 4 x < 12 x > 12

Lana71 [14]

X<12 with a line underneath.

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