9514 1404 393
Answer:
n = 8
Step-by-step explanation:
12 = 2² · 3
20! = 2¹⁸ · 3⁸ · [larger primes]
The highest power of 12 that is a factor of 20! is 12^8, limited by the number of factors of 3 there are.
n = 8
-9 < 2
-1 > -3
0 < 6
a < b = a is less than b
a > b = a is greater than b
Answer: Hello!
Let's start with the word TRISKAIDEKAPHOBIA wich has 17 letters (some of them repeat, but it does not matter in this problem)
We want to know how many permutations we can do with 17 letters: then think this way, Lets compose a word. The first letter of this word has 17 options, the second letter of the word has 16 options (you already took one of the set) the third letter of the word has 15 options, and so on.
The total number of permutations is the product of the number of options that you have for each letter, this is:
17*16*15*14*....*3*2*1 = 17! = 3.6e+14
(b) FLOCCINAUCINIHILIPILIFICATION now we have 30 letters in total, using the same reasoning as before, here we have 30! permutations; this is
30! = 2.65e+32
(c) PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS: now there are 47 letters.
then P = 47! = 2.59e+59
(d) DERMATOGLYPHICS: here are 18 letters, then:
p = 18! = 6.4e+15
Answer:
.
Step-by-step explanation:
The parent function is
Step 1: Start with the equation . Write the equation for the graph of g(x) that has been
reflected, or flipped, over the x-axis.
Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has
also been shifted down 4 units.
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has
also been shifted left 1 unit.
Therefore, the required equation is .
The equation for r: d = rt would be 'r equals d over t.'
How, you might ask? Well, let's consider this example:
You might already know what d = rt stands for... "Distance equals rate times time", so if you divide the two sides by 't', you would come up with r = d/t. So that would finalize as your answer for this question.
