Answer:
The numbers inside |x| is always positive
Step-by-step explanation:
|x+1| ---> x+1
|x-2| ---> x+2
= 3
Answer: t= 13.2 seconds
Step-by-step explanation:
The quadratic function for ball's height in terms of time t is given as
s(t)= -16t² +192t + 256
Now we want to find out the time at which the ball hits the ground.
When the ball hits the ground, the height of the ball will become zero so in the above equation we can put s(t)=0
0= -16t² +192t + 256
or 16t² -192t - 256 = 0
Solving this quadratic equation, we have
t= 13.211 and t= -1.211
Since time can't be negative so
t= 13.2 seconds
Answer:
80 pounds.
Step-by-step explanation:
Let W₁ be the initial weight of water in the grapefruit, W₂ be the weight of water in the grapefruit after evaporation, and M be the total weight of the grapefruit after evaporation. Assuming that, originally, the grapefruit weighed 100 pounds with a 92% water content and the weight of the "non-water" part of the fruit (100 - W₁) does not change. The final weight of the grapefruit (M) is given by:
![W_1=0.92*100=92\\W_2=0.90*M\\W_2+(100-W_1) = M\\W_2=M-8\\(1-0.9)M=8\\M=80](https://tex.z-dn.net/?f=W_1%3D0.92%2A100%3D92%5C%5CW_2%3D0.90%2AM%5C%5CW_2%2B%28100-W_1%29%20%3D%20M%5C%5CW_2%3DM-8%5C%5C%281-0.9%29M%3D8%5C%5CM%3D80)
The grapefruit now weighs 80 pounds.
Answer:
DOL, also known as the Department of Labor, is the agency responsible for promoting the welfare and opportunities of wage earners.
Their main goal is to fight for equal rights among workers and to make their wishes and needs at the workplace come true.