I got 75582.
Explanation:
First, group the 40 identical candies into 20 pairs. It doesn't matter how since the candies are identical. This grouping will ensure that any assigment will contain at least two candies.
Then think of the 20 groups a 20 beads on a string. We are looking to place 11 separators between them to obtain 12 segments, each with a varying number of beads between them. How many ways are there to place 11 separators to 19 potential spaces between beads? The asnwer is
The simplification form of the provided expression is x¹⁸a³b³ option
(d) x¹⁸a³b³ is correct.
<h3>What is an integer exponent?</h3>In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:
After using the integer exponent property:
= a³b³x¹⁸ Or
=x¹⁸a³b³
Thus, the simplification form of the provided expression is x¹⁸a³b³ option
(d) x¹⁸a³b³ is correct.
Learn more about the integer exponent here:
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In order to find the number of hours it takes to do the full rotation we separate into pieces the days, hours, and minutes and convert each of them separately.
using the conversion factor from days to hours we get that
then we get that
hours does not need a conversion factor, meaning that
continue by converting the minutes using the following conversion factor
then,
To complete add all the results together
It takes mercury 922.5 hours to complete a full rotation.