Answer:
1. slope=1/2
2. slope=3/6 or 1/2
Step-by-step explanation:
Answer: The graph is attached.
Step-by-step explanation:
1. Solve for y, as following:

2. The equation of the line in slope intercept form is:

Where m is the slope and b is the y-intercept.
3. In this case the equation of the line is:

then:

4. Find the x-intercept. Make y=0. Then:

5. Then, plot the line that passes through the points (0,7) and (4.9, 0).
6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.
Then you obtain the graph attached.
They are essentially asking us to solve:

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.
Answer:
5
Step-by-step explanation:
hope this helps ;)
<u>Answer</u>
<em>The total displacement of the object is 320 m</em>
<u>Solution-</u>
From the formulas of mechanics,

Where,
s = displacement
u = initial velocity = 0 ( ∵ As the body was in rest in the beginning )
t = time taken = 8 s
a = acceleration = -10 m/s² ( ∵ -ve is because of the downward motion)
Putting all the values,
( ∵ -ve displacement means it is in downwards)