Given that a person's normal body temperature is 98.6 ° F, and according to physicians, a person's body temperature should not be more than 0.5 ° F from the normal temperature, to determine how you could use an absolute value inequality to represent the temperatures that fall outside of normal range, the following logical-mathematical reasoning must be carried out:
As long as the normal temperature is 98.6 ° F, and its variation should not be greater than 0.5 ° F in its increase or decrease, it is correct to say that the range of normal body temperatures is equal to 98.6 - 0.5 to 98.6 + 0.5, that is, it has a variability that goes from 98.1 ° F to 99.1 ° F.
Thus, the absolute value inequality of 0.5 (both subtracting and adding) determines the limits of the temperature parameter considered normal.
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Answer:
1) Reflection in the x-axis
A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
A''' = (6, 0)
Step-by-step explanation:
The transformations are as follows;
1) Reflection in the x-axis
Here the x-coordinate is the same and the y-coordinate changes sign.
Therefore, we have;
A (-2, 3)
After reflection in the x-axis becomes A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)
Therefore, we have;
A' = (-2, -3) becomes A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
Translation of 3 units down and 4 units to the right = 
Which gives
A''' = (2 + 4, 3 - 3) = (6, 0).
The necessary information's are already given in the question. Based on those information's the answer to the question can be easily determined.
Amount of water recirculated by the pump in 1/5 of an hour = 60 gallons
we already know
1/5 of an hour = (1/5) * 60 minutes
= 12 minutes
Then
Amount of water recirculated by
the pump in 60 minutes = (60/12) * 60 gallons
= 5 * 60 gallons
= 300 gallons
So the amount of water recirculated by the pump per hour is 300 gallons.
Considering that each cube is 1 cubic centimeter, the volume of the composite figure should be the sum of the cubes. The volume is 12+10 or 22 cubic centimeters.
Answer:
the answer to this question is b.