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tatuchka [14]
3 years ago
14

A plane set off to burbank at a speed of 215 mph.On the return flight of 13 hours, the plane cruised at 237 mph. How many hours

was the flight to Burbank?
I just need the equation
Mathematics
1 answer:
bearhunter [10]3 years ago
5 0

It seems you need 2 equations:

We first must solve for: distance = rate * time  

Using return flight data:   distance = 237 * 13 = 3,081 miles

Then, using flight TO Burbank data: time = distance / rate

time = 3,081 / 215   time = 14.3302325581 hours


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A baseball is dropped from a glider 500 feet above the ground. The height (in feet) above the ground is modeled by the function
Sophie [7]

A) 436 ft

B) t = 5 sec

C) 5.60 s

Step-by-step explanation:

A)

The height of the ball at time t is given by the equation

h(t)=-16t^2+500

where

-16 ft/s^2 is the acceleration of the ball (acceleration of gravity, downward)

+500 is the initial height of the ball, at time t = 0

Here we want to find the height of the ball after 2 seconds, so at a time of

t = 2 s

Substituting into the equation, we find:

h(2)=-16\cdot 2^2+500=436 ft

B)

Here we want to find the time it takes for the ball to fall to a height of 100 feet above the ground, so the time t at which

h(t) = 100 ft

As stated in the text of the question, the height of the ball at time t is given by

h(t)=-16t^2+500

Since

h(t) = 100, we have

100=-16t^2+500

And solving for t we find:

16t^2=400\\t^2=25\\t=\pm 5

So, the correct solution is the positive one:

t = 5 sec

C)

The ball reaches the ground when the height of the ball has became zero:

h(t) = 0

The height of the ball at time t is given by

h(t)=-16t^2+500

And substituting

h(t) = 0

We get

0=-16t^2+500

And solving the equation for t, we find the time t at which the ball reaches the ground:

16t^2=500\\t^2=31.25\\t=\pm 5.6 s

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3 0
4 years ago
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erik [133]

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standard form: a*x + b*y = c

then:

a) 7x + 5y = 8

This is in standard form.

b) y − 5 = 3*(x − 9)

This is in point slope form.

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This is in slope-intercept form.

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Is there multiple choice?
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Answer:

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we know that

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therefore

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