Answer:
The arc length is 
Step-by-step explanation:
Given that,
The given curve between the specified points is

The points from
to 
We need to calculate the value of 
Using given equation

On differentiating w.r.to y




We need to calculate the arc length
Using formula of arc length

Put the value into the formula








Put the limits


Hence, The arc length is 
Answer:
At approximately x = 0.08 and x = 3.92.
Step-by-step explanation:
The height of the ball is modeled by the function:

Where f(x) is the height after x seconds.
We want to determine the time(s) when the ball is 10 feet in the air.
Therefore, we will set the function equal to 10 and solve for x:

Subtracting 10 from both sides:

For simplicity, divide both sides by -1:

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

Substitute:

Evaluate:

Simplify the square root:

Therefore:

Simplify:

Approximate:

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.
Answer:
m=-15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. m=-15
432 million, 540 times .20 equals 108, subtract 108 from 540 and you get your answer