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.
1:00 to 2:15 is 1 hour and 15 minutes.
In that time the duck went from 50 to 125, which is a 75 degree increase.
75 degrees / 75 minutes = 1 degree per minute increase.
175 degrees - 125 degrees = 50 degree more it needs.
1 degree per minute x 50 degrees = 50 more minutes.
50 minutes after 2:15, would be 3:05
It will be 175 degrees at 3:05
Answer:
It's (C) 240in3
Step-by-step explanation:
Volume of the prototype is 250 in.³
The values on the number line are between 0 and 1. There are 8 points from 0. The distance between two consecutive points would be
1/8 = 0.125
Since the given point is on the second point after 0, the equivalent value would be
2 * 1/8 = 2/8
Dividing the numerator and denominator of 2/8 by 2, we have 1/4
Thus, the two equivalent fractions for the point on number line are
2/8 and 1/4
