Answer:
- 2 cups ⇔ 16 fluid ounces
- 96 ounces ⇔ 6 pints
- 12 pints ⇔ 24 cups
- 4 quarts ⇔ 1 gallon
<em>Also see attached</em>
Willis has noticed that when time has been one of the variables analyzed by a scatterplot he has looked at, it has always been t
1 answer:
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
Option C is the right answer.
The missing graph has been attached with the answer.
<h3>What is a Scatter Plot ?</h3>These are Cartesian Points and it represents relationship between two variables.
It is given that
Will's Hypothesis is time can never be a dependent variable.
Although from the graph plotted it can be seen that the time is dependent on distance travelled and
the in a scatter plot , the dependent variable is plotted on y axis and here the time is plotted on y axis ,
therefore the scatter plot invalidate Willis’s hypothesis.
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
Option C is the right answer.
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Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
Now we can apply the quadratic formula
where a=-16, b=122, and c=198
or 
or 
or 
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
Now we can apply the quadratic formula
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.