Using S = ut + 1/2gt², from rest, u = 0
S = 1/2gt², g ≈ 9.8 m/s²
S = <span>1/2 *9.8*3²
</span>S = 0.5<span> *9.8*3*3
</span>
<span>S ≈ 44.1 m</span>
The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.
<h3>How to calculate the domain of the function?</h3>
In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:
0= -4.87t² + 18.75t.
4.87t(-t + 3.85) = 0
t = 0 or t = 3.85.
Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).
<h3>How to calculate the range of the function?</h3>
h(t) = -4.87t² + 18.75t
h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)
h(t) = -4.87(t - 1.925)² + 18.05
Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).
Read more on domain here: brainly.com/question/17003159
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Approximately 3.849 is the cube root of 57 cube root.
Put the problem into a proportion to make it easier to solve.
32 x
=
16 100
You can use cross products to simplify this proportion. Multiply 32 by 100, and set that number equal to 16 *x.
Your equation should now look like this
3200=16x
You are trying to get the variable alone on one side, so you should divide both sides by 16.
If this is performed correctly, then your final answer should be
x=200.
It will take you 200 minutes (3 hours 20 mins) to read the pages that you promised Ms. Williams
Answer: x<8
interval notation is ( -∞,8)
Step-by-step explanation:
x<8
interval notation is ( -∞,8)
