Answer:
(First step for obtaining a common denominator for the two fraction)
![a=\frac{33}{7}\text{ m/s}^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B33%7D%7B7%7D%5Ctext%7B%20m%2Fs%7D%5E2)
Step-by-step explanation:
![\text{Given Expression: }a=a_1+\frac{F}{m}](https://tex.z-dn.net/?f=%5Ctext%7BGiven%20Expression%3A%20%7Da%3Da_1%2B%5Cfrac%7BF%7D%7Bm%7D)
where,
a is acceleration of an object.(Need to calculate)
![a_1=3.00\text{ m/s}^2](https://tex.z-dn.net/?f=a_1%3D3.00%5Ctext%7B%20m%2Fs%7D%5E2)
![F=12.0\text{ Kg.m/s}^2](https://tex.z-dn.net/?f=F%3D12.0%5Ctext%7B%20Kg.m%2Fs%7D%5E2)
![m=7.00\text{ kg}](https://tex.z-dn.net/?f=m%3D7.00%5Ctext%7B%20kg%7D)
![\text{Substitute }a_1, \text{ F, and m into expression and we get}](https://tex.z-dn.net/?f=%5Ctext%7BSubstitute%20%7Da_1%2C%20%5Ctext%7B%20F%2C%20and%20m%20into%20expression%20and%20we%20get%7D)
![a=3+\frac{12}{7}](https://tex.z-dn.net/?f=a%3D3%2B%5Cfrac%7B12%7D%7B7%7D)
Now we will simplify above expression for a
First we make common denominator.
Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get
(First step for obtaining a common denominator for the two fraction)
Now we combine the numerator
![a=\frac{21+12}{7}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B21%2B12%7D%7B7%7D)
![a=\frac{33}{7}\text{ m/s}^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B33%7D%7B7%7D%5Ctext%7B%20m%2Fs%7D%5E2)
Answer:
$31.80
Step-by-step explanation:
The ball will cost 100% of its price plus 6% of its price for a total of 106%.
To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.
Multiply the cost of the ball by your multiplication factor:
30 x 1.06 = 31.8
Money is written to two decimal places, making your answer $31.80
Remember that to find the vertical asymptotes of rational functions, we just need to set the denominator equal to zero and solve for the variable, in this case
![x](https://tex.z-dn.net/?f=x)
, so lets do it:
![(x-4)(x+1)=0](https://tex.z-dn.net/?f=%28x-4%29%28x%2B1%29%3D0)
![x=4,x=-1](https://tex.z-dn.net/?f=x%3D4%2Cx%3D-1)
As you can see, our rational functions has
2 vertical asymptotes: ![x=4](https://tex.z-dn.net/?f=x%3D4)
and
Answer: (6.8 x 10^2) x (1.3 x 10^-3) = 0.884![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
Step-by-step explanation:
Triangle has 180 degree in total, in order to get x, you use 180-70-75=35