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ivolga24 [154]
2 years ago
13

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population d

ensity? (Use 3. 14 for π) Area of a circle = πr2 0. 02 bacteria per square millimeter 0. 42 bacteria per square millimeter 2. 39 bacteria per square millimeter 52. 5 bacteria per square millimeter.
Mathematics
1 answer:
Tems11 [23]2 years ago
6 0

Answer:

B) 0.42

Step-by-step explanation:

population density=number of people/square units

we plug in 2,100 for the first one but we don't know the second one for that we need the area which is A=πr^{2} so the radius is 40 millimeters so 40^{2} =1600 1600*π=5024

2,100/5024=0.417 round it up and it is 0.42

so B) 0.42 is the answer

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TriangleABC has three sides with these lengths: AB=9, BC=40, and CA=41, What is the value of cos C?
Otrada [13]

Answer:

9² = 40² + 41² - 2(40)(41) cos(C)

81 = 1600 + 1681 - 3280 cos(C)

81 = 3281 - 3280 cos(C)

-3200 = -3280 cos(C)

cos(C) = 3200 / 3280

cos(C) = 40 / 41

Step-by-step explanation:

3 0
3 years ago
The doubling period of a bacterial population is 15 minutes. At time t= 80 minutes, the bacterial population was 90000​
Papessa [141]

Answer:

here i finished!

hope it helps yw!

Step-by-step explanation:

The doubling period of a bacterial population is 15 minutes.

At time t = 90 minutes, the bacterial population was 50000.

Round your answers to at least 1 decimal place.

:

We can use the formula:

A = Ao*2^(t/d); where:

A = amt after t time

Ao = initial amt (t=0)

t = time period in question

d = doubling time of substance

In our problem

d = 15 min

t = 90 min

A = 50000

What was the initial population at time t = 0

Ao * 2^(90/15) = 50000

Ao * 2^6 = 50000

We know 2^6 = 64

64(Ao) = 50000

Ao = 50000/64

Ao = 781.25 is the initial population

:

Find the size of the bacterial population after 4 hours

Change 4 hr to 240 min

A = 781.25 * 2^(240/15

A = 781.25 * 2^16

A= 781.25 * 65536

A = 51,199,218.75 after 4 hrs

6 0
3 years ago
Julian has to read 4 articles for school. He has 8 nights to read them. He decides to read the same number of articles each nigh
daser333 [38]

<u><em>Answer:</em></u>

a. He will have to read half an article per night

b. Fraction of the reading assignment read each night = \frac{0.5}{4}=\frac{1}{8}

<u><em>Explanation:</em></u>

<u>Part a:</u>

<u>We are given that:</u>

number of articles to read = 4 articles

number of nights = 8 nights

To get the number of articles that he should read per night, we will simply divide the the number of articles by the number of nights

<u>Therefore:</u>

number of articles to read per night = \frac{4}{8}=\frac{1}{2} articles per night

<u>Part b:</u>

Now, we know that he will read half an article each night from a total of 4 articles

To get the fraction of the reading assignment read each night, we will divide the number of articles read each night by the total number of assignments

<u>Therefore:</u>

Fraction of the reading assignment read each night = \frac{0.5}{4}=\frac{1}{8}

Hope this helps :)

5 0
3 years ago
Maxine and Sammie have to also mow their parking strips that are the
Lemur [1.5K]

I believe the answer is 3 minutes

At the 3 minute mark, Maxine will be half way done and Sammie will still have 6 minutes left to mow the grass

5 0
3 years ago
Please help im stuck!
Nutka1998 [239]

Answer:

k

Step-by-step explanation:

k

4 0
3 years ago
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