Answer:
![\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7Bkg%7D%5Ccdot%5Ctext%7Bm%7D%5E2%7D%7B%5Ctext%7Bs%7D%5E3%7D)
Step-by-step explanation:
Power (denoted by P) can be defined as a function of work (denoted by W) and time (denoted by t) using this formula:
![P=\dfrac{W}{t}](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7BW%7D%7Bt%7D)
Unit of Work = ![\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7Bkg%7D%5Ccdot%5Ctext%7Bm%7D%5E2%7D%7B%5Ctext%7Bs%7D%5E2%7D)
Unit for Time = s
Therefore, the Unit of Power
![=$Unit for W \times \dfrac{1}{\text{Unit for time}}](https://tex.z-dn.net/?f=%3D%24Unit%20for%20W%20%5Ctimes%20%5Cdfrac%7B1%7D%7B%5Ctext%7BUnit%20for%20time%7D%7D)
![=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2} \times \dfrac{1}{s} \\=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Ctext%7Bkg%7D%5Ccdot%5Ctext%7Bm%7D%5E2%7D%7B%5Ctext%7Bs%7D%5E2%7D%20%5Ctimes%20%5Cdfrac%7B1%7D%7Bs%7D%20%5C%5C%3D%5Cdfrac%7B%5Ctext%7Bkg%7D%5Ccdot%5Ctext%7Bm%7D%5E2%7D%7B%5Ctext%7Bs%7D%5E3%7D)
An appropriate unit for power is: ![\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7Bkg%7D%5Ccdot%5Ctext%7Bm%7D%5E2%7D%7B%5Ctext%7Bs%7D%5E3%7D)
Answer:
B.
Step-by-step explanation:
Let's call x the number of pens and y the number of notebooks that Monique can buy.
If each pen costs $2 and each notebook costs $3, so she is going to spend 2*x on pens and she is going to spend 3*y on notebooks.
Additionally, she is going to spend a maximum of $36. so:
2x + 3y
36
It means that the line that separated the region is:
2x + 3y = 36
This is the same that a line that passes for the points (0,12) and (18,0) or the line of the region B
Answer:
The value of x is 32.
Step-by-step explanation:
Because all of the sides are equal, we know all of the angles are equal. Since there is only 180 degrees in a triangle, we know each angle is equal to 60 degrees. Therefore, we can set angle Z equal to 60 degrees.
2x - 4 = 60
2x = 64
x = 32