Mathematics, 08.07.2019 14:30 alexandriasmith727

The diameter of a certain bacterium is about 0.000006 meters. how would i rewrite that in scientific notation?

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Answer from: brooke0713

The answer is 6*10^-^6

Step-by-step explanation:

In order to determine the scientific notation, we have to know about how we write it. A number in a scientific notation has two parts: just a digit in the interval (1,10) and a 10 powered by other number.

a=digit

$1\leq a$

a*10^b

We have to follow the next steps to figure out the "b" value:

To figure out the power of 10. We have to think "how many places we have to move the decimal point to obtain just a digit.When the number is greater or equal 10, the decimal point is moved to the left, and the power of 10 is positive.When the number is smaller than 1, the decimal point is moved to the right, and the power of 10 is negative.

In this case:

a=6

b=-6

$a*10^b\\6*10^-^6$

Finally the scientific notation is 6*10^-^6

Answer from: Quest

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

Me if you can and if you finished this lesson on edg- comment you.

Answer from: Quest

Ac equals 35 cm long
If line ab = 21 centimeters, and line bc = 28 centimeters, which does line ac equal?

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The diameter of a certain bacterium is about 0.000006 meters. how would i rewrite that in scientific...