Answer:
See explanation below
Step-by-step explanation:
Given the ratio between two groups to be 3:7
Total ratio = 3+7 = 10
Total sweet shared = 30sweets
For the group with ratio of 3;
Share = 3/10×30
Share = 3×3
Share = 9 sweet
For the group with ratio of 5
This share = 7/10×30
This share = 7×3
This share = 21sweet
Solve the rational equation by combining expressions and isolating the variable
x
x
.
x
=
41

Divide both sides by
to get


Substitute
, so that
. Then



The remaining ODE is separable. Separating the variables gives

Integrate both sides. On the left, split up the integrand into partial fractions.




Then

On the right, we have

Solving for
explicitly is unlikely to succeed, so we leave the solution in implicit form,

and finally solve in terms of
by replacing
:



Answer:
The maximum height of the arrow is 125 feet.
Step-by-step explanation:
The pathway of the arrow can be represented by the equation,
.....(1)
Where h is height in in feet and t is time in seconds.
It is required to find the maximum height of the arrow. For maximum height,
.
So,

Put t = 2.5 s in equation (1). So,

So, the maximum height of the arrow is 125 feet.