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lina2011 [118]
3 years ago
10

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

Mathematics
1 answer:
stiv31 [10]3 years ago
3 0

Answer:

8.67 seconds.

Step-by-step explanation:

I hope this helps!

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Peter uses unit cubes to build a figure in the shape of the letter X what is the fewest unit cubes that Peter can use to build t
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17. Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively
Gnesinka [82]

Given that, Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively.Find the height of the smallest tank if the larger is 300cm tall?

Assume that, the tanks are rectangular in shapes and differ only on their heights. The volume of the larger tank is

V1 = l × w × h1 while the volume of the smaller tank is V2 = l ×w × h2. The ratios of the capacities is

\sf \frac{V1}{V2} = l  \times  w  \times h1  \times  w  \times  h2 =  \frac{h1}{h2}

Solving for the height of the smaller tank h2

\sf \frac{V1}{V2} =  \frac{h1}{h2}

\sf\frac{1000000} {51200} = \frac{ 300 cm }{ h2}

1000000 × h2 = 51200 × 300 cm

h2 = (51200 × 300 cm) /1000000

h2 = 15.36 cm

\sf\implies \: \boxed{ \bf{ \: Height \:  of  \: the \:  smaller  \: tank  \: is  \: 15.36 cm.\: }}

{ \underline {\rule{5000pt}{6pt}}}

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If f(x)=x^2 is horizontally compressed to g(x), which could be the equation of g(x)?
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For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.  

<h3>How to find the resulting equation after applying a compression</h3>

Here we must narrow a given function by a <em>rigid</em> operation known as compression. <em>Rigid</em> transformations are transformations in which <em>Euclidean</em> distances are conserved. In the case of functions, we define the horizontal compression in the following manner:

g(x) = f(k · x), for 0 < k < 1     (1)

If we know that f(x) = x², then the equation of g(x) is:

g(x) = (k · x)², 0 < k < 1

For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.      

To learn more on rigid transformations: brainly.com/question/1761538

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