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salantis [7]
2 years ago
12

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

ich is greater and about how may times greater plz help thank you
Mathematics
1 answer:
Archy [21]2 years ago
8 0

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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A craft store buys 50 yards of satin ribon for $12.50. The store sells the ribbon by the foot. A customer can purchase 5 feet of
amm1812

Answer:

$8.1

Step-by-step explanation:

Convert 45 yards of ribbon to feet through proper conversion factor.  

  (45 yards)(3 ft / 1 yard) = 135 feet

Divide this number by 5 to determine the number of 5-ft ribbon that customers can purchased.

    n = 135 ft / 5 ft = 27

Then, multiply by $0.80.

   R = (27)($0.80) = $21.6

The profit is equal to $21.6 and $13.50,

    P = $21.6 - $13.50 = $8.1

Answer: $8.1

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3 years ago
What subtracted by 26 equals -102​
Lesechka [4]

Answer:

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Step-by-step explanation:

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2 years ago
To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12
777dan777 [17]

Answer:


Step-by-step explanation:

Let y be the total charge and x no of hours spent for cutting the lawn,

Then for Allan we have the equation as

y = 8.50x+15

SInce 15 is the fixed charge and 8.50 is charged per hour we get the above equation for Allan.

Next similarly for Taylor, we have fixed charges 12 and variale 9.25

y =9.25x+12

When Taylor total charges is greater than Allan's total charge

we have 9.25x+12>8.5x+15

Simplify to get

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Or x>4

Whenever x i.e. no of hours exceed 4, Taylor charges will be greater than that of Allan

5 0
3 years ago
The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
Dima020 [189]

Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

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x=48

The three consecutive positive numbers are 48, 49, and 50.

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2 years ago
O
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Answer:

x= -7

Step-by-step explanation:

from the table, the pair of x= -7 is f(x)= -3

based on the table on the left f(-7)= -3

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2 years ago
Read 2 more answers
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