Tickets prices for a science museum are $18 for adults and $12 for students. If $162 is collected from a group of 12 people, how
1 answer:
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Answer:
- -108.26
- -108.13
- -108.052
- -108.026
- -108
Step-by-step explanation:
A graphing calculator or spreadsheet is useful for making the repeated function evaluations required.
The average velocity on the interval [a,b] will be ...
v avg = (y(b) - y(a))/(b-a)
Here, all the intervals start at a=3, so the average velocity for the given values of t will be ...
v avg = (y(3+t) -y(3))/((3+t) -3) = (y(3+t) -y(3))/t
This can be computed for each of the t-values given. The results are shown in the attached table.
__
We note that the fractional part of the velocity gets smaller in proportion to t getting smaller. We expect it to go to 0 when t goes to 0.
The estimated instantaneous velocity is -108 ft/s.
_____
We can simplify the average velocity equation to ...
v avg = ((48(3+t) -26(t+3)^2) -(48(t+3) -26(3)^2)) / t
= (48t -26(t^2 +6t))/t
= 48 -26t -156
<em> v avg = -108 -26t</em>
Then the average velocity at t=0 is -108.
Answer:
y - 9 = 1/2(x + 3)
Step-by-step explanation:
find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2
substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:
=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)
point-slope form:
Given:
The endpoints of a line segment are (-5,12) and (-5,0).
To find:
The coordinates of a points which divides the line segment in 2:1.
Solution:
Section formula: If a point divides a line segment in m:n.
Let point P divides the given line segment in 2:1. They, by using section formula, we get
Therefore, the coordinate of the point that partitions the given segment in the ratio 2:1 are (-5,4).