9514 1404 393
Answer:
Step-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
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The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
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We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
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The rocket and ball reach the same height after 4 seconds.
For this case we have that by definition, the volume of a cuboid is given by:
Where:
L: It's the long
A: It is the width
h: It is the height
According to the problem data we have:
So, the volume of the cuboid is:
Finally, the volume of the cuboid is:
Answer:
Answer:
Conditional relative frequency = 0.67
Step-by-step explanation:
50% off Buy 1, get 1 free Total
Item 1 12 8 20
Item 2 20 10 30
Total 32 18 50
Condition relative frequency table:
50% off Buy 1, get 1 free Total
Item 1
Item 2
Total
Therefore, conditional relative frequency of selling an item marked 50% off, provided the item sold is item 2 = 0.67