Samuel and Leticia are playing a game. After the first round of the game, Samuel's score was -19 and Leticias score was 21. The
score with the greater absolute value wins each round. Who won the first round? Explain
1 answer:
Answer: Leticia won the first round
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Your teacher is basically asking "which value is further from zero on the number line?". The value -19 is 19 units away from zero; while 21 is 21 units away from zero.
See the attached image below. Each "space" is a distance of 1
Absolute value measures distance along the number line. Distance is never negative. In terms of notation, you would say
|-19| = 19 and |21| = 21
The outputs 19 and 21 are then compared. We see that 21 is larger, so therefore, Leticia has the higher score and she won the first round.
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The dimension of the open rectangular box is .
The volume of the box is 8.217 cubic inches.
Step-by-step explanation:
Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.
To find : The dimensions and the volume of the open rectangular box ?
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Let the height be 'x'.
The length of the box is '11-2x'.
The breadth of the box is '7-2x'.
The volume of the box is
Derivate w.r.t x,
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Derivate again w.r.t x,
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So, there is maximum at x=1.392.
The length of the box is
The breadth of the box is
The height of the box is h=1.392.
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The volume of the box is
The volume of the box is 8.217 cubic inches.
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