Answer:
- see the graph below
- the function is NOT continuous
Step-by-step explanation:
First of all, the problem statement is incorrect in its description of the function as being defined for all real numbers. It is not defined for numbers less than -4.
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The graph is shown in the attachment. There is a discontinuity at x=4, so the function is not continuous.
Answer:
C. 
Step-by-step explanation:
Answer:
- Statistics;
- Parameter;
- Statistics;
- Parameter.
Step-by-step explanation:
According to southeastern.edu,
- parameters summarize data from an entire population, whereas
- statistics summarize data from a sample of the population.
The first statement is true for the sample "those surveyed" the population but not necessarily the entire population. Statistic.
The second statement implies that the soccer team is the population. All members of the population are surveyed. Parameter.
The third statement states that a sample of 100 of all swimming teams are surveyed. Statistic.
The fourth statement implies that the population is all members of the golf team, and that all members of the population are surveyed. Parameter.
Answer:
640 m
Step-by-step explanation:
We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.
The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.
In the additional 2 time units (8 seconds), the ball dropped an additional
... (720 -80) m = 640 m
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<em>Alternate solution</em>
You can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...
... d = kt²
Filling in the information related to the first 4 seconds, we have ...
... 80 = k(4)²
... 80/16 = k = 5
Then the distance equation becomes ...
... d = 5t²
After 12 seconds (the first 4 plus the next 8), the distance will be ...
... d = 5×12² = 5×144 = 720 . . . meters
That is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.
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