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zmey [24]
3 years ago
6

A book falls from a shelf that is 5 feet above the floor. A model for the height h in feet if an object dropped from an initial

height of h₀ feet is h=-16t² + h₀, where t is the time in seconds after the object is dropped. Use this model to determine approximately how long it took for the book to reach the ground.
Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0

Answer:

About 0.559 seconds

Step-by-step explanation:

The height equation is:

h=-16t^2+h_0

Where h_0 is the initial height of the book, which is 5, so we can write:

h=-16t^2+5

Now, we want time it took for the book to reach ground (h = 0)

So, we substitute h = 0 and solve for t:

h=-16t^2+5\\0=-16t^2+5\\16t^2=5\\t^2=0.3125\\t=0.5590\\t=0.559

It took about 0.559 seconds for the book to reach the ground

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What is the solution to this addition sentence? 3/4 + (-1/2) = _____
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The ratio of lollipops to pieces of bubble gum at the party is 2 to 3. There are 24 lollipops. ​ ​What is the total number of lo
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Answer: 40

Step-by-step explanation: first make the ratio into a fraction, 2/3

then make 24 into a fraction with the numerator as a variable and the denominator as 24, x/24

then cross multiply 2 and 24.

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then divide 48 by 3, 16.

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Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the
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The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

4 0
2 years ago
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Answer:

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Step-by-step explanation:

x intercept = 3

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Answer:

Janice examines the given triangle and estimates that the longest side has a length of 25 units―if it is a right triangle. How does her estimate compare to the actual length? It is under by approximately 0.6 units.

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