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Andrei [34K]
3 years ago
5

Simplify the expression

Mathematics
1 answer:
professor190 [17]3 years ago
3 0

Answer:

2

Step-by-step explanation:

4^{2}/2= 8

8+6= 14

4+3=7

14/7= 2

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I am pretty sure it is A

Step-by-step explanation:

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Select the two figures that are similar to each other.
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It’s 5 and 4

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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
Archy [21]

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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2 years ago
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Karo-lina-s [1.5K]

The answer is: D) 115

The explanation is shown below:

1. You have that the frequency with which a cricket chirps varies directly with the temperature, which you can express it as following:

y=kx

Where y is the frequency with which a cricket chirps, x is the temperature and k is the constant of proportionality.

2.  If the cricket chirps 100 times per minute in 80° weather, you can calculate k as below:

k=\frac{100}{80}=1.25

3. Therefore, the frequency in 92° weather is:

y=1.25x\\y=(1.25)(92)\\y=115

3 0
2 years ago
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