Part A.
What we can do to solve this problem is to assume that
the acceleration of Bryan is constant so that the velocity function is linear.
The standard form of a linear function is in the form:
y = m x + b
or in this case:
v = m t + b
where v is velocity and t is time, b is the y –intercept of
the equation
The slope m can be calculated by:
m = (v2 – v1) / (t2 – t1)
m = (12 – 15) / (7 – 4)
m = -1
Since slope is negative therefore this means the cyclist
are constantly decelerating. The equation then becomes:
v = - t + b
Now finding for b by plugging in any data pair:
15 = - (4) + b
b = 19
So the complete equation is:
v = - t + 19
This means that the initial velocity of the cyclists at t
= 0 is 19 km / h.
Part B. What we can do to graph the equation is to
calculate for the values of v from t = 0 to 12, then plot all these values in
the Cartesian plane then connect the dots.
Answer:
50 dollars per month
Step-by-step explanation:
Given
Required
Determine the rate of savings
Suppose in a month, she saves x amount.
In 2 months, she would save 2x
When 2x is added to the initial savings, it gives the total amount saved.
So, we have:
Collect Like Terms
Divide both sides by 2
<em>Hence, she saves $50 dollars monthly</em>
If you solve it, you get 2=9, which is incorrect. That means there's no solution.
You would add the x to both sides, cancelling out the x on the side with 2y. Then you divide by 2 leaving you with y=1/2x+3
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)
Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet
