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netineya [11]
3 years ago
5

Sara goes on a slingshot ride in an amusement park. She is trapped into a spherical ball that has a radius of 3•100 centimeters.

What is the volume of air in the spherical ball.
Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Answer: <em>1.1 × 10⁸ cm³</em>


Explanation:


1) Since the ball is spherical, you use the volume formula for a sphere, which is:


Volume = [4/3] π r³


2) r is the radius, which is given and is equal to 3×100cm = 300cm


3) Pluging in the value of r, you get:


Volume = [4/3] π (300 cm)³ = 113,097,335.53 cm³


4) Since, r = 3×100 cm has two significant figures, the result must show only two significant figures.


So, using scientific notation, the right answer must be reported as:<em> 1.1 × 10⁸ cm³</em>

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Flori’s Flower shop contains fewer than 150 flowers. All the flowers are purple, yellow, red or white. The ratio of purple flowe
alexgriva [62]

Flori's Flower Shop have 48 <em>white</em> flowers, 40 <em>red</em> flowers, 30 <em>yellow</em> flowers and 15 <em>purple</em> flowers, whose sum equals 133 flowers, which is fewer than 150 flowers.

<h3>How to determine the quantity of flowers in a flower shop</h3>

Flori's Flower shop owns a quantity less than 150 flowers, in which there are four kinds of flowers according to color: (purple - <em>p</em>, yellow - <em>y</em>, red - <em>r</em>, white - <em>w</em>), each variable represents <em>positive</em> integers. Now we proceed to construct the system of equation that describes the situation:

z < 150     (1)

p + y + r + w = z    (2)

p = y/2     (3)

y = 3 · r/4     (4)

r = 5 · w/6     (5)

By (1) and (3) in (2):

y/2 + y + r + w < 150

By (4):

3 · y/2 + r + w < 150

9 · r/8 + r + w < 150

17 · r/8 + w < 150

By (5):

85 · w/48 + w < 150

133 · w/48 < 150

133 · w < 7200

w < 54.135

Now we assume that <em>w =</em> 48, then we have the following solution for the flower shop: <em>r =</em> 40, <em>y =</em> 30, <em>p =</em> 15.

Flori's Flower Shop have 48 <em>white</em> flowers, 40 <em>red</em> flowers, 30 <em>yellow</em> flowers and 15 <em>purple</em> flowers, whose sum equals 133 flowers, which is fewer than 150 flowers. \blacksquare

To learn more on inequalities, we kindly invite to check this verified question: brainly.com/question/20383699

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Answer: because 4 would be greater than 3.

Step-by-step explanation:

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3 years ago
The shop declare a discount of 20% and later a discount of 15% after
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Let, the original amount = x
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Amount after second discount = 0.80x - 0.12x = 0.68x
Difference would be: x-0.68x = 0.32x

So, Your Answer would be 32%

Hope this helps!
8 0
3 years ago
If a body moves in a straight line according to the law s = 24t + 3t^2 - t^3, where s is the distance measured in meters from th
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As the comments state, the velocity is the derivative of the position.

Therefore, the velocity as function of time is:

ds / dt = 24 + 6t - 3t^2.

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Also, you know that the velocity at t = 1 s is 27 m/s.

And, you can also find that the velocity at t = 3 is 15 m/s.

I am confident on that this analysis solves your question. Else, insert a comment.
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a model sailboat like the one shown below was built using a scale of 1cm = 12ft. if the actual length of the boat is 84ft, how l
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For every 12 foot of boat you have 1 cm on the model.

So the length of the model = 84 / 12 = 7 cms  Answer

4 0
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