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Aliun [14]
3 years ago
13

Is (2, 3) a solution to the inequality y > 6x + 3?

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Good morning

Answer:

NO

Step-by-step explanation:

Here we just substitute x and y by their values and see if the inequality still true or not

y = 3

6x + 3 = 6(2) + 3 = 15

since 3 < 15 then the inequality y > 6x + 3 is wrong.

______________________________________

:)

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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
Alyssa can run 0.75 mile in 35 seconds. About how long will it take her to run 7 miles?
Liono4ka [1.6K]

Answer:

327 Seconds

Step-by-step explanation:

7/.75=28/3

28/3 X 35 = 327 Seconds

8 0
3 years ago
Read 2 more answers
If the player moves the knight from (5, 1) to (6, 3), the translation made is
Anna35 [415]
X increases by one

y increases by 2

(5, 1) - > (x + 1, y + 2) -> (6, 3)
8 0
3 years ago
The cable company is analyzing data from two satellite television providers to determine whether their users spend more time wat
Phoenix [80]

Answer:

59%

Step-by-step explanation:

The information from Satellite Company Y is:

65 people watch live and 94 people watch recorded.

The total number of people from Y is:

65 + 94 = 159

So the probability that a random person from Y watches recorded shows more often is given by the division of the number of people watching more recorded shows (94) over the total number of people (159):

Probability = 94 / 159 = 0.5912 = 59.12%

Rounding to nearest whole percent, we have 59%

3 0
3 years ago
Read 2 more answers
Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9?. A.1/6. B.1/13. C.1/18
Elis [28]
So 6 times 6 is 36 so 36 possibilities and the number that add up to 3 or nine are (2,1; 3,6; 4,5;) so 3 out of 36 or 1 out of 12, the answer is not there
3 0
3 years ago
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