the price is 0.55$ per square foot
Step-by-step explanation:
We can solve the problem by using the rule of three.
In fact, we know that:
1 gallon covers an area of 
While the price per gallon is
$55 per gallon
This means that the price per
is $55, since 1 gallon cover 
Therefore, to find the price per square foot, we can write

WHere x is the price per square foot. Solving for x,

So, the price is 0.55$ per square foot.
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Answer:
The claim made by the researcher lacks the validity on basis of reasons as indicated in the explanation.
Step-by-step explanation:
The claim made by the researcher is not valid on basis of following reasons:
- Interacting variables are not mapped accurately. The additional variables as the health status of the volunteers, eating and fitness habits are not considered in the consideration. This results in a in complete validation.
- The placebo effect is not catered accordingly. As the half of the volunteers are taking nothing, this is not the direct influence of the placebo and thus double-blinded testing for placebo effect is to be ensured in future experiments.
- The environmental effects are not considered as the effect under study is dependent on the environmental effects, thus the claim is biased and the generalization is not valid.
Looking at the slope of the "best-fit" line, you can see that for every two hours of homework, 15 more points are scored. (compare t=0 to t=2).
For t=5, the line seems to go through 47.5. So for t=7, which is two hours more, you'd expect a score of 47.5+15 = 62.5.
That answer is in the list, so I'd choose that.
In reality, you would never be able to have any score you like just by putting more hours in, so this can never be a straight line forever...
Translation:
R ( - 5, - 5 ) → R` ( - 4, 2 )
- 4 = - 5 + 1, 2 = - 5 + 7;
The translation rule:
( x , y ) → ( x + 1, y + 7 )
Coordinates of the point U are (- 5, 1 )
- 5 + 1 = - 4, 1 + 7 = 8
The image of U is :
U` ( - 4, 8 )