Answer:
12
Step-by-step explanation:
Decimal: It’s easier to work with the numbers You can add, subtract, multiply and divide in your head (for the most part) instead of having to find common denominators and things like that.
Fraction: You can put repeating values in fraction form to represent them in a simpler way, as opposed to having to put the line over the repeating digits if it were in decimal form.
Power: Powers are just condensed forms of repeated multiplication, so they save space/time and you can use certain properties with some powers that allow you to multiply and divide them instantly.
Scientific notation: This is good when you’re dealing with numbers that have a lot of digits/place value. That can become confusing, so scientific notation is a way we can represent these numbers clearly and more condensed (takes less space/time).
Answer:
x = 14
2x = 28
6x = 84
Step-by-step explanation:
6x = 180 - 124 + 2x
4x = 56
x = 14
Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic
10^3 = 1000 == -1 (mod 1001)
10^3 == -1 (mod 1001)
(10^3)^672 == (-1)^672 (mod 1001)
(10^(3*672) == 1 (mod 1001)
10^2016 == 1 (mod 1001)
10*10^2016 == 10*1 (mod 1001)
10^2017 == 10 (mod 1001)
Final Answer: 10
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
