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qaws [65]
3 years ago
10

What’s a constant Proportionality

Mathematics
1 answer:
irina1246 [14]3 years ago
7 0
In mathematics, two variables areproportional if there is always aconstant ratio between them. Theconstant is called the coefficient ofproportionality or proportionality constant. ... x and y are directlyproportional if the ratio yx is constant.

In other words, the constant of proportionality is also the slope, **m**, rate of change, etc.
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The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh
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Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is<em> 300 times larger than the virus.</em>

We know that:

The diameter of the virus-cell is:

D_v = 3 \cdot 10^{-9} m

The diameter of the bacteria cell is:

D_b = 9 \cdot 10^{-7} m

So, to compare them, first notice that both are in the same units, meters, so we only need to <u>compare the numbers</u>.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus <u>the bacteria should be the larger one.</u>

But let's prove this with math, remember the property:

\frac{a^n}{a^m} = a^{n - m}

Let's take the quotient between the diameters and see what we get, I will use the <u>diameter of the bacteria in the numerator</u>, thus <u>if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.</u>

quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m}  = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

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Step-by-step explanation:

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Alekssandra [29.7K]

9514 1404 393

Answer:

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Step-by-step explanation:

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Removing a common factor of 2 from numerator and denominator of 2/8 reduces the fraction to lowest terms: 1/4

Your mixed number is 1 1/4.

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2 years ago
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