Please help will r8 5 + brainliest
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Answer:
<u>44 fluid ounces</u> of lemonade are left.
Step-by-step explanation:
Given:
Tate fills a container with 9 1/2 cups of lemonade.
Tate drinks 32 fl. oz. of lemonade.
Now, to find the quantity of fluid ounces left.
So, we convert the unit of cups into fluid ounces.
Tate fill the container of lemonade with =
As, 1 cup = 8 fluid ounces.
So, by conversion factor:
<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>
<em>Tate drinks lemonade = 32 fl. oz.</em>
Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:
Therefore, 44 fluid ounces of lemonade are left.
Let the origin of the coordinate system be the position of ship B at noon. Then the distance between the ships as a function of t (in hours) is
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)
The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)
At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots
The distance between the ships is increasing at about 28.37 knots at 4 pm.
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)
The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)
At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots
The distance between the ships is increasing at about 28.37 knots at 4 pm.