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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 meaning of proportional and non-proportional?​
frutty [35]

Answer:

Proportional: Non-Proportional: How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

<h3>hope it helps</h3>
4 0
2 years ago
2 factors of 28 add up to 9 what are they
bogdanovich [222]
It is 2 and it is 7 the two factors your welcome  
5 0
3 years ago
Read 2 more answers
What is the mean median and mode of 99, 69, 96, 69, 78. Round to the nearest tenth if necessary
KiRa [710]
A median is the middle number of a data set.
To find it put the numbers in order.
78, 69, 69, 96, 99
Then find the middle number
78, 69, *69,* 96, 99

The median is 69

A mode is the number that appears the most in a set of numbers.
78, *69, 69,* 96, 99

The mode is 69

To find the mean or average of a set of numbers, add all the numbers together then divide by the number of numbers there are.
99+69+96+69+78 = 411
411/5 = 82.2

The mean is 82.2

Hope this helped! If you have anymore questions or don't understand, please comment on my profile or DM me. :)
6 0
3 years ago
If f(x) = 12 – 2 and g(x) = x + 3, find all values of x, to the nearest tenth, for
Leto [7]

Answer:

x=7

Step-by-step explanation:

f(x) =g(x)

12-2=x+3

10=x+3

10-3=x

x=7

6 0
3 years ago
On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes i
motikmotik

3.9 x 5.1 = 19.89

10^3 x 10^3 = 10^6

19.89 x 10^6

move decimal point

1.989 x 10^7

4 0
3 years ago
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