All categories

3 years ago

An experiment started with 100 bacteria. they double in number every hour. find the number of bacteria after 8 hours. question 2

5 options: 15,800 1600 25,600 900

Mathematics

1 answer:

Triss [41]3 years ago

4 0

$General\: formula:100 \times {2}^{x} \\ \Rightarrow After\: 8\: hours:100 \times {2}^{8} = 100 \times 256 = 25,600 \: bacteria$

You might be interested in

Follow the link I have the paper, but i'm so confused on what I need to do can someone help? if you can Thanks https://www.brain

Sergio [31]

Answer:

You've got to use the clues on the side to help figure out the answers for each square

8 0

3 years ago

There were 171 people who came to the play in the afternoon. In the evening, there were 93 more people at the play than in the a

Makovka662 [10]

Answer:

Step-by-step explanation: It's B.) The student’s answer is not reasonable. Estimation: 170 + 90 = 260

8 0

4 years ago

Determine whether each sample method is unbiased or biased. If the method is unbiased, use it to make a prediction. If the metho

Margaret [11]

The representative took a sample to estimate the proportion of customers that do not subscribe to movie channels.

He took a sample from the customer base and the sample proportion he gets is 22% (p = 0.22). This sample proportion is an unbiased estimator of the populations proportion, so we can use it to calculate how many customers do not subscribe to movie channels:

$n=N\cdot p=5240\cdot0.22\approx1153$

Answer: we can estimate that there are 1153 customers that do not subscribe to movie channels.

3 0

1 year ago

The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t

tigry1 [53]

Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.

Step-by-step explanation:

Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.

c= 100 (0.99988)^t

c =100 (0.99988)^4

c = 100 x 0.999520086

c= 99.95200864 ≅99.95 grams (rounded)

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago

Given sec theta=-4/3 and 90 degrees < theta< 180 degrees; find sin 2 theta

babunello [35]

Answer:

Answer is option "a" i.e.

$\frac{-3\sqrt{7}}{8}$

Step-by-step explanation:

sin2Ф = 2sinФ.cosФ

So, we need values of sinФ and cosФ but we are given secФ. We can find sinФ and cosФ with the help of secФ first by finding all sides of triangle and then by using Pythagorean theorem.

Given that,

secФ = -4/3

While,

secФ = hypotenuse/base

Hence,

<u>length of hypotenuse = 4</u>

<u>length of base = 3</u>

To find perpendicular we'll use Pythagorean theorem:

(hyp)² = (base)² + (perp)²

$perp = \sqrt{hyp^2 - base^2}$

$perp = \sqrt{16-9}\\ perp = \sqrt{7}$

<u>length of perpendicular = √7</u>

Now, to find sinФ and cosФ

sinФ = perp/hyp

cosФ = base/hyp

<h3><u>Finally to find sin2Ф</u></h3>

sin2Ф = 2sinФ.cosФ

$=2*\frac{\sqrt{7}}{4} *\frac{3}{4}\\=\frac{3\sqrt{7}}{8}$

<h3><u>negative sign of sin2Ф</u></h3>

As 90≤Ф≤180

So multiplying it by 2

180≤Ф≤360

which is 3rd and 4th coordinate in which sin has negative value.

6 0

3 years ago

Read 2 more answers