Answer:
(B) 1 is the answer.
Step-by-step explanation:
10/36+ 5(5-x)/36-5x/6= 0
x= -1
that means losing 1 point makes the game fair.
Answer:
Volume = Length × Width × Height
Volume = 10 × 3 × 2
Volume = 60 cm
Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
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<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
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<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
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<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
Answer:
2 hours and 47 minutes.
Step-by-step explanation:
If it makes it easier then translate it to normal time.
10:45 pm and 1:32 am.
2 hrs and 47 minutes.
The rightmost column is the product shown in the middle column. From top-to-bottom, those numbers will be 83.1, 831 (given), 8310.
The middle column is a re-write of the first column and is equal to the third column. You can figure the numbers there from either direction. In the center row, you need 8.31 × ___ = 831. It should not be difficult for you to figure out the number in the blank is 100. (It is also the power of 10 between 10 in the first row and 1000 in the third row.)
The divisor in the first column is the inverse of the multiplier in the second column. 0.1 = 1/10, 0.01 = 1/100, and in the third row, 0.001 = 1/1000. The missing number in the first column is 0.001.
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The four missing numbers are 83.1, 100, 0.001, 8310. (top to bottom, left to right)
