Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Answer:
The solution is 
.
Step-by-step explanation:
A first order differential equation 
is called a separable equation if the function 
can be factored into the product of two functions of 
and 
:
where 
and 
are continuous functions.
We have the following differential equation
In the given case 
and 
.
We divide the equation by and move 
to the right side:
Next, integrate both sides:
Now, we solve for
We use the initial condition 
to find the value of C.
Therefore,
A = P*e^(rt)
Here,
A = $4000*e^(0.051*2) = $4000*e^1.02 = $4000(2.773) = $11092.78
Note: This seems very high to me.
Answer:
The answer could be A) or D) because the zero acts as a place holder. Its a little easier to derive it if you have a bigger decimal
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sin (π - x ) = Sin x = m
