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Nezavi [6.7K]
4 years ago
7

48/31 in simplest form

Mathematics
2 answers:
iris [78.8K]4 years ago
5 0

The answer to your problem is 1 17/31

Eduardwww [97]4 years ago
3 0

48/31 is already at its simplest form, however you can change it to a mixed fraction which would become 1 17/31

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A model rocket is launched with an initial upward velocity of 202 ft/s. The rocket's height h (in feet) after t seconds is given
7nadin3 [17]
<h2>Hello!</h2>

The answer is:

The rocket will reach a height of 82 feet at:

t1=0.42s

and

t2=12.21s

<h2>Why?</h2>

We are asked to find the value(s) of t for which the rocket's height is 82 feet, so, we need to replace the height value (82 feet) into the given quadratic equation, and then, isolate "t" making the equation equal to 0.

So, writing the quadratic formula, we have:

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

The given function is:

-16x^2+202x=h

Substituting h equal to 82 feet, we have:

-16x^2+202x=82

-16x^2+202x-82=0

Where,

a=-16\\b=202\\c=-82

Then, substituting it into the quadratic equation we have:

\frac{-b+-\sqrt{b^{2} -4ac} }{2a}=\frac{-202+-\sqrt{202x^{2} -4*-16*-82} }{2*-16}\\\\\frac{-202+-\sqrt{202x^{2} -4*-16*-82} }{2*-16}=\frac{-202+-\sqrt{40804-5248} }{-32}\\\\\frac{-202+-\sqrt{40804-5248} }{-32}=\frac{-202+-\sqrt{35556} }{-32}=\frac{-202+-(188.56) }{-32}\\\\t1=\frac{-202+(188.56) }{-32}=0.42\\\\t2=\frac{-202-(188.56) }{-32}=12.205=12.21

So, the rocket will reach a height of 82 feet at:

t1=0.42s

and

t2=12.21s

Have a nice day!

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
For an outdoor event organizers estimate that 60000 people will attend if it is not raining. If it is raining, event organizers
s2008m [1.1K]

For an outdoor event organizers, the expected number of people who will attend is 32700

<u>SOLUTION:</u>

Given, For an outdoor event organizers estimate that 60000 people will attend if it is not raining.  

And If it is raining, event organizers estimate that 21000 people will attend.  

On the day of the show, meteorologists predicted a 70% chance of rain.

We have to determine the expected number of people who will attend.

Now, number of people = 70% of rain case + 30% of other case.

Number of people = 0.7 x rain case + 0.3 x other case

Number of people = 0.7 x 21000 + 0.3 x 60000

= 2100 x 7 + 6000 x 3 = 32700.

Hence, the expected count is 32700

3 0
3 years ago
Martha Lou needs 1 3/4
Anastasy [175]

Answer:

7 small pillows.

Step-by-step explanation:

1. Let's get rid of the whole parts of fractions -> 1 3/4=7/4, 12 1/4=49/4

2. To find how many pillows she can make divide the available fabric by the amount needed -> (49/4)/(7/4)=49/7=7.

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