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umka2103 [35]
2 years ago
8

The function h(t) = -4.9t2 + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h

0). The table shows data for a pebble that fell from a cliff.
TIME HEIGHT
1 55.1
2 40.4
3 15.9

To the nearest tenth of a second, how long after the pebble falls will it hit the ground?
Mathematics
2 answers:
sveticcg [70]2 years ago
7 0
It will hit the ground after 3.499 seconds.

To solve this you first have to find the value of h(0) in this equation. That is the height from which it was dropped.

You can input any of the points into the equation and solve for the missing part. You will get 60 for the height.

The use the quadratic formula to see that it reaches the ground after 3.499 seconds.
vodomira [7]2 years ago
5 0

Answer:

Equation: h(t)=- 4.9(t)^2 + 60

Seconds: 3.5

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

37+15r ≥ 127

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Find Mean, Median, mode and range. Round to the nearest tenth.
stiv31 [10]

Answer:

  • Mean = 26.24
  • Median = 27
  • Mode = 32
  • Range = 38

Step-by-step explanation:

Plotting the original data from leaf plot

9,11,12,12,14,17,25,25,27,32,32,32,33,35,41,42,47

<em><u>Finding Mean:</u></em>

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                                            \mu=\frac{446}{17}

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Therefore, the range = 26.24.

<u>Finding Median:</u>

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47  

So, the median is 27 .

<em><u>Finding Mode: </u></em>

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47

We see that the mode is 32.

<em><u>Finding Range:</u></em>

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47

The lowest value is 9.

The highest value is 47.

The range = 47 - 9 = 38

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