Answer:
The simplified form is
.
Step-by-step explanation:
Given : Expression ![\frac{x}{3}\geq -33](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%5Cgeq%20-33)
To find : The simplified expression ?
Solution :
Expression ![\frac{x}{3}\geq -33](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%5Cgeq%20-33)
Multiply 3 both side,
![\frac{x}{3}\times 3\geq -33\times 3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%5Ctimes%203%5Cgeq%20-33%5Ctimes%203)
![x\geq -99](https://tex.z-dn.net/?f=x%5Cgeq%20-99)
Therefore, the simplified form is
.
Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
![v_f=v_o-g.t](https://tex.z-dn.net/?f=v_f%3Dv_o-g.t)
Where g is the acceleration of gravity ![g=9.8 m/s^2.](https://tex.z-dn.net/?f=g%3D9.8%20m%2Fs%5E2.)
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
![\displaystyle t=\frac{v_o-v_f}{g}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7Bv_o-v_f%7D%7Bg%7D)
Substituting:
![\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7B22-10%7D%7B9.8%7D%3D%5Cfrac%7B12%7D%7B9.8%7D)
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
Answer:
-33 and -21
Step-by-step explanation:
-36, <u>-33</u>, -30, -27, -24, <u>-21</u>, -18
-36
-36 + 3 = -33
-33 + 3 = -30
-30 + 3 = -27
-27 + 3 = -24
-24 + 3 = -21
-21 + 3 = -18
It’s b.
because it’s would be 180-45