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Bond [772]
4 years ago
9

Find the quotient. A1,528 B1,524R C1,524 D1,525R

Mathematics
2 answers:
gregori [183]4 years ago
7 0
The correct answer is "1,524 R1"
ValentinkaMS [17]4 years ago
4 0
The correct answer 1,524 R1 B
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A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13
charle [14.2K]

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that P(0) = 5000

So

P(t) = 5000e^{rt}

After three hours it grew 6500 bacteria:

This means that P(3) = 6500. We use this to find r.

P(t) = 5000e^{rt}

6500 = 5000e^{3r}

e^{3r} = \frac{65}{50}

\ln{e^{3r}} = \ln{\frac{65}{50}}

3r = \ln{\frac{65}{50}}

r = \frac{\ln{\frac{65}{50}}}{3}

r = 0.0875

So

P(t) = 5000e^{0.0875t}

How many bacteria will be present after 13 hours?

This is P(13). So

P(13) = 5000e^{0.0875*13} = 15594.8

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

7 0
3 years ago
Write an inequality that matches this statement: In the football game last week, the
marysya [2.9K]

Answer:

y < 45

Step-by-step explanation:

Pittsburgh Steelers scored 45 points.

The Miami Dolphins will be represented by a variable y.

y scored less than 45 points.

y is less than 45

y < 45

5 0
3 years ago
(THIS IS A TEST)
snow_tiger [21]

Answer:

13.6 - 12 = 1.6

Step-by-step explanation:

7 0
3 years ago
A package of 4 pairs of insulated socks costs "​$31.16." What is the unit price of the pairs of socks​?
padilas [110]

Answer:

$7.79 per pair of socks

Step-by-step explanation:

4 0
3 years ago
To increase an amount by 24% what single multiplier would you use?
cricket20 [7]

Let x be the original amount.

Increasing x by 24% means to add 24% of x to the original amount x.

x + 24% of x = x + .24x = 1x + .24x = 1.24x.

Therefore, to increase a given amount by 24% then multiply the original amount by a single factor of 1.24 .

4 0
3 years ago
Read 2 more answers
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