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Zina [86]
3 years ago
5

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)
Mathematics
2 answers:
pochemuha3 years ago
6 0
A petri dish is simply a circle; thus, we use the formula of the area of the circle which is <span>πr^2. 
Given r = 40 mm
A = </span>π(40)^2 = <span>5026.55 sq. mm
</span>
Population density = bacteria count / area
PD = 2,100 / <span>5026.55
PD = </span><span>0.417782 bacteria / mm sq.

Therefore, the answer is approximately 0.418 </span><span>bacteria per square millimeter.</span>
saul85 [17]3 years ago
3 0
Determine the area of the circular petri dish through the equation, A = <span>πr^2. Substituting the radius to the equation and solving for area gives, 5024 mm^2. The population density is obtained by dividing the population with the calculated area. Thus, the population density is approximately 0.418 bacteria per mm^2. </span>
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What is the GCF of 18 and 36
Lorico [155]

Answer: 18

Step-by-step explanation: Factor of 18 are: 1, 2, 3, 6, 9, 18

Factor of 36 are : 1, 2, 3, 4, 6, 9, 12, 18, 36

Hope that helps

7 0
3 years ago
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A ladder is resting against a wall. The ladder and the ground make an angle of 42.5° and the ladder is 10 feet long. How far awa
MA_775_DIABLO [31]
Cosα=x/L

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x=10cos42.5° ft

x≈7.37 ft (to nearest hundredth of a foot)

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3 years ago
Which of the following is NOT a requirement for testing a claim about a standard deviation or​ variance? A. The sample is a simp
Luda [366]

Answer:

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5 0
3 years ago
Algebra question I don’t get it because you usually have to multiple A by C but there is no C in the problem.
Misha Larkins [42]
Ok so basically, when you say multiply A by C, that is simplifying.

And in this case, you are factorising in this question. You turn back into brackets basically.

We have:
72x^2 - 32

x^2 = x squared

factorising means finding the factor of.

(Forget the x squared for the moment to make life easier)

Factors of 72:
1 and 72
2 and 36
3 and 24
4 and 18
6 and 12
8 and 9
(9 and 8 = it repeats so we stop there)

And then factors of 32:
1 and 32
2 and 16
4 and 8
(8 and 4 = repeats so we stop there)

Notice how we see 8 twice in both factors of 72 and 32, this means that we use 8 as the main number we are going to multiply each of the 2 numbers in the brackets by. This is because it is the biggest common factor - this is what we have!

This is what we would have:
8(9-4)

BUT, that is not the answer!
Keep in mind we have the x squared too

But, 32 doesn’t have it?!!

It would be:
8(9x^2 - 4)

Do you get it??

Try to simplify it! Does it equal to 72x^2 - 32?

(And I am so very sorry for the long explanation, once you get the hang of it, it makes sense. Hope my explanation helped) :)










6 0
3 years ago
I need the ordered pairs for <br> y-3x&lt;10
adelina 88 [10]

Answer:

(0, 5) and (5,0) are two possibilities.

Step-by-step explanation:

There is an infinite number of ordered pairs that satisfy your inequality.

To help you pick some ordered pairs, you could plot the inequality (see the graph below).

Any point within the shaded area is a solution.

Pick an ordered pair, insert it into the equation, and check if the inequality is true.

Here are two examples.

<em>For (5, 0</em>):

0 – 3×5 < 10

   0 - 15 < 10

       -15 < 10     True

<em>For (0, 5)</em>:

5 – 3×0 < 10

   5 – 0 < 10

         5 < 10     <em>True </em>

The ordered pairs (0, 5) and (5,0) are part of the solution set of the equation y – 3x < 10.

6 0
3 years ago
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