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lina2011 [118]
3 years ago
13

Can You Help Me I really don't understand

Mathematics
1 answer:
Lunna [17]3 years ago
6 0

Its A, because a filled in circles means equal to and the arrow is going to the negatives because its less than 15.

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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

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.

7 0
3 years ago
Can someone please solve this?
forsale [732]
|-8-6|=|-14|=14
4 0
3 years ago
The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for
Y_Kistochka [10]

Answer:

g(x) = (x + 6)^2 - 5

Step-by-step explanation:

To translate f(x) to the left by 6 units, replace x with x+6.

To translate f(x) down 5 units, replace f(x) with f(x)-5.

Together, these replacements give you ...

... g(x) = f(x+6) -5

... g(x) = (x +6)^2 -5

6 0
3 years ago
3.<br> 9 (3x + 1) - 3(2x + 3)<br> -<br> Simplify the expression
Tanya [424]

Answer:

The answer for this question would be 21x (when simplified).

8 0
2 years ago
Read 2 more answers
4) Which pair of triangles is congruent by Angle - Angle- Side?
andrey2020 [161]

Answer:

1. Not equal

2. Equal but not connected

3. Equal

4. Equal

Step-by-step explanation: Sorry if not correct :(

3 0
3 years ago
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