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Ivanshal [37]
3 years ago
12

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will i

t take him to reach the ground?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0
For this we almost have the following equation:
 h = -16t ^ 2 + 25

 We must match the equation to zero:
 -16t ^ 2 + 25 = 0

 From here, we clear the value of t.
 We have then:
 16t ^ 2 = 25

t ^ 2 = 25/16
 We discard the negative root because we are looking for time:
 t =  \sqrt{ \frac{25}{16} } 


 t =  \frac{5}{4}
 Answer:
 
it will take him to reach the ground about:
 
t = \frac{5}{4} seconds
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2 years ago
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A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented the following equation:

y = kx

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Since the recipe ingredients remain in a constant ratio, we have:

k = y/x

For table 1, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

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For table 2, we have:

k = 2/1 = 2.

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For table 3, we have:

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For table 4, we have:

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In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.

Read more on proportionality here: brainly.com/question/12866878

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1 year ago
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