Answer:
! is the symbol for factorial.
Reason:
n! is the product (multiplication) of all the numbers from n down to 1, inclusive, i.e. n × (n−1) × (n−2) × … × 2 × 1.
For example:
5! = 5 × 4 × 3 × 2 × 1 = 120
10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3,628,800
OR:
The there was a typo or a mistake that was made in the making of these questions.
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In this question , we have to simplify the given ratio, which is
12xy:3x
First we have to see which factor is common in numerator and denominator,
We can write 12 as 3 times 4, that is

So the common factor is 3x.
In the next step, we cancel out 3x

And that's the required simplified form .
Answer:
y³ + x³ = 1
First, differentiate the first time, term by term:

↑ we'll substitute this later (4th step onwards)
Differentiate the second time:


Answer:
30 AND 40
Step-by-step explanation:
SUM OF RATIO IS 4 + 3 = 7
1ST NUMBER : 4/7 × 70 = 40
2ND NUMBER : 3/7 × 70 = 30
Answer:
4
Step-by-step explanation:
If x is the third number, then x−1 and x−2 are the second and first numbers.
10(x−2) + 10(x−1) = 10 + 10x
x − 2 + x − 1 = 1 + x
2x − 3 = 1 + x
x = 4