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bagirrra123 [75]
3 years ago
6

Convert 0.25 hectoliters to milliliters.

Mathematics
2 answers:
MAXImum [283]3 years ago
6 0

Answer:

25000

Step-by-step explanation:

multiply the volume value by 100000

Elena-2011 [213]3 years ago
4 0

Answer: 25000 mililiters

Step-by-step explanation: Can i have brainliest Please?

You multiply the volume value by 100000

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At what value of x do the graphs of the equations below intersect?
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Baseball player hits a ball on an angle of 54° and a height of 4 1/2 feet if the balls initial velocity after being is 152 ft./s
grin007 [14]
<h2>Hello!</h2>

The answer is:

The ball will hit the ground in 7.69 seconds.

<h2>Why?</h2>

To solve this problem, we need to apply the following projectile motion equation:

y=vo*sin(\alpha)*t-\frac{1}{2}gt^{2}

To calculate when the ball wil hit the ground, in other words the time of flight, we need to make "y" equal to 0, and considerate the initial height, so, we have:

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Then, we are given the following information:

InitialHeight=4.5feet\\\alpha =54\°\\vo=\frac{152ft}{s}

Now, substituting and solving, we have:

-(\frac{1}{2})*\frac{32.15ft}{s^{2}}*t^{2}+\frac{152ft}{s}*sin(54\°)+4.5ft\\\\-16.07\frac{ft}{s^{2} }*t^{2}+122.97\frac{ft}{s}*t +4.5ft=0

We have a quadratic equation, where:

a=-16.07\\b=122.97\\c=4.5

Now, using the quadratic equation to find the values of "t" , we have:

\frac{-b+-\sqrt{b^{2}-4ac} }{2a}

Substituting we have:

\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.0)*(4.5)} }{2*(-16.07)}\\\\\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.07)*(4.5)} }{2*(-16.07)}=\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}\\\\\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}=\frac{-122.97+-(124.14)}{-32.14}

t_1=\frac{-122.97+124.14}{-32.14}=-0.04\\\\t_2=\frac{-122.97-124.14}{-32.14}=7.69

Therefore, since the time cannot be negative, we have to discard "t1", so, the answer is: 7.69 seconds

Hence, the ball will hit the ground in 7.69 seconds.

Have a nice day!

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