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ss7ja [257]
3 years ago
5

Please help me with this homework

Mathematics
1 answer:
Kipish [7]3 years ago
4 0

Answer:

See screenshot below

Step-by-step explanation:

Yes Bus Column:

  1. We need to find an answer for the "no taxi" section. And we have the total and the "yes taxi" section. So, the "yes taxi" section + the "no taxi" section gives you the total. Another way of saying this is total - "yes taxi"  = "no taxi"
  2. 125 - 30 = 95

No Bus Column:

  1. We need to find the total of the "yes taxi" section and the "no taxi" section. So, if we add those two sections together, we'll get the total
  2. 90 + 185 = 275

Total column:

  1. So, this column is really simple to fill out. All we're doing it adding our answers above to get one answer in each section.
  2. "Yes Taxi" section: 30 + 90 = 120
  3. "No Taxi" section: 280
  4. Total section: 125 + 275 = 400
  5. We could have also done the total section by adding together 120 and 280, but we would get the same answer, anyway.

I hope this helps!

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834/6=139
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Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet
mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

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Next three terms: 1/8, 1/16, 1/32

Explanation:

<em>How to get next term?</em>

Divide the number before by two to get the next term.

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Answer:

6. 60°

7. 5.19559

8. 7.96011

Step-by-step explanation:

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7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).

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8. Same explanation as 7.

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