There are 748 identical plastic chips numbered 1 through 748 in a box. What is the probability of reaching into the box and rand
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Answer:
Step-by-step explanation:
Area is side x side, so naturally it would be: (x+5)(x - 5)... Though to simplify, those parenthesis can be FOILed. (Reminder: "FOIL" means First - Outer - Inner - Last)
The 5x cancels out because 5x - 5x = 0
So that leaves us with:
The length in scientific notation is meters
<em><u>Solution:</u></em>
Given that egg of a certain kind of insect called a Tachinidae is 0.00002 meters long
<em><u>To find: length in scientific notation</u></em>
Given length in meters = 0.00002 meters
<em><u>Let us understand about scientific notation</u></em>
Scientific notation is a mathematical expression used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits
<em><u>Rules for scientific notation:</u></em>
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places you moved the decimal point. This number is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.
<em><u>Converting 0.00002 meters to scientific notation:</u></em>
Here we move the decimal point to right side. Move the decimal point 5 times so that only "2" is present to left of decimal point
Since decimal point is moved to right, the exponent 5 is negative(-5)
Thus the length in scientific notation is meters
In cylindrical coordinates, we have , so that
correspond to the upper and lower halves of a sphere with radius . In spherical coordinates, this sphere is
.
means our region is between two cylinders with radius 1 and
. In spherical coordinates, the inner cylinder has equation
This cylinder meets the sphere when
which occurs at
where . Then
.
The volume element transforms to
Putting everything together, we have