Answer:
1st box: Asso. prop= m+(4+x)
2nd box: Comm. Prop= m+4=4+m
3rd box: iden. prop= m+0=m
4th box: Zero prop: m x 0=0
Answer:
You wrote the numbers from 1 to 9: 9 digits.
You wrote the numbers from 10 to 99: 90*2 = 180 digits.
You have written 189 digits.
Then you wrote another 1994 - 189 = 1805
All the numbers from 100 to 999 have 3 digits
So you wrote 1805/3 = 601 2/3
This means 601 full numbers and 2 digits from the 602. number.
So 100 + 601 - 1 = 700 was the last number you wrote.
Do you agree?
The machines represent equivalent expressions.
The output produced by both machines is 372
The equation represented on machine A is:

The equation represented on machine B is:

Where: x and y represent the inputs and the outputs, respectively
When the outputs are the same, it means:

So, we have:

Open brackets


Collect like terms


Divide both sides by 2

Substitute 39 for x in 


Hence, the output produced by both machines is 372
Read more about equivalent expressions at:
brainly.com/question/15715866
To find out time interval δt we need to substract initial time from the final time. In this question first number in the coordinates representes time:
δt=50 - 0
δt= 50s
TIme interval is 50s.
Answer:
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power
a) (2xy + 4x) + (15xy - 5x) = <u>2xy + 15xy</u> +<u> 4x - 5x</u>
= 17xy - x
b) (6a + 4b² - 3) + (3b² - 5) = 6a + <u>4b² + 3b²</u> <u>- 3 - 5 </u>
= 6a + 7b² - 8
c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ <u>- 3x² + 8x²</u> <u>+ 4x - 5x</u>
= 4x³ + 5x² - x
d) (7b - 6a + 9y) - (12b + 5a - 2y) =
In subtraction, add the additive inverse of (12b + 5a - 2y)
additive inverse = - 12b - 5a + 2y
(7b - 6a + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y -12b -5a + 2y
= 7b - 12b -6a - 5a + 9y + 2y
= -5b - 11a + 11y
e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)
Additive inverse of 13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y
(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y
= 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y
= -2x² - 6x - 7 + 15y