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2 years ago

Please help due in 30 min

Mathematics

1 answer:

enot [183]2 years ago

7 0

Answer:

THE ANSWER IS C

Step-by-step explanation:

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In a lab, a scientist is growing bacteria for a study. The scientist begins with a bacteria

Diano4ka-milaya [45]

Answer:

The answer is below

Step-by-step explanation:

The growth of the bacteria is in the form of an exponential growth. It is given by the formula:

$P(t)=ae^{rt}\\\\where\ t\ is\ the\ number\ of \ hours, P(t)\ is\ the \ population\ at\ t\ hours\\\and\ a=population\ at\ start$

At 2 hours, the population is 62 cells, hence:

$P(2)=ae^{2r}\\\\62=ae^{2r}\ \ .\ \ .\ \ .\ (1)$

After another 2 hours (4 hours), the population is 1 million:

$P(4)=ae^{4r}\\\\1000000=ae^{4r}\ \ .\ \ .\ \ .\ (2)\\\\Divide \ equation\ 2\ by\ equation\ 1:\\\\\frac{1000000}{62}=\frac{ae^{4r}}{ae^{2r}} \\\\16129=e^{2r}\\\\ln(e^{2r})=ln(16129)\\\\2r=9.688\\\\r=4.844$

Put r = 4.844 in equation 1

$62=ae^{2*4.844}\\\\62=16129a\\\\a=0.003844$

$P(t)=0.003844e^{4.844t}\\\\at \ start,t=0\\\\P(0)=0.003844$

4 0

3 years ago

A swimming pool has a length of 12 feet, a width of 8 feet, and a depth of 9 feet. What is the volume of the pool in cubic feet?

Umnica [9.8K]

Answer:

V=864 cubic feet

Step-by-step explanation:

Volume of a rectangular prism is Length x width x depth

So V=12x8x9

V=864 Cubic feet

6 0

2 years ago

Find the slope of the line that passes through (10,9) and (1,5)

laiz [17]

Answer:

4/9

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Which of the following is an example of exponential growth or decay?

Aleksandr [31]

I think the answer is B)

8 0

2 years ago

Read 2 more answers

Weight: How many grams does a 5 lb 15 oz roast weigh?The roast weighsgrams.

natulia [17]

Since 1kg = 2.20 lb,

$\frac{1\operatorname{kg}}{2.20\text{ lb}}$

Since 1kg = 1000g

$\frac{1000\text{ g}}{1\operatorname{kg}}$

So for covering pounds to gram by the following factor

$\frac{1\operatorname{kg}}{2.20\text{ lb}}\frac{1000\text{ g}}{1\operatorname{kg}}$

Since 1oz = 28.3g

$\frac{28.3\text{ g}}{1\text{ oz}}$

Now

$5\text{ lb}\frac{1000\text{ g}}{2.20\text{ lb}}+15\text{ oz}\frac{28.3g}{1\text{ oz}}$

The weight in grams would be

2697.22 gr

5 0

9 months ago