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NeTakaya
3 years ago
8

A hot-air balloon is 1550 feet off the ground and its altitude is slowly changing at a constant rate of −712 feet per second.

Mathematics
2 answers:
stiks02 [169]3 years ago
5 0

Building and solving an equation to model the situation, it is found that it will take 1.52 seconds for the balloon to drop to below 465 feet.

  • The initial height is of 1550 feet.
  • Each second, the height decreases by 712 feet.

Hence, the equation that models the height of the balloon after t seconds is:

h(t) = 1550 - 712t

To find how many seconds, s, will it take for the balloon to drop to below 465 feet, we have to find <u>t for which h(t) < 465</u>, hence:

h(t) < 465

1550 - 712t < 465

712t > 1085

t > \frac{1085}{712}

t > 1.52

It will take 1.52 seconds for the balloon to drop to below 465 feet.

A similar problem is given at brainly.com/question/25290003

balu736 [363]3 years ago
4 0

Answer:

s > 144 2/3

Step-by-step explanation:

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We have that T_i=600 \ K, T_f=800 \ K, and P_f=30 \ atm. We need to find P_i. To do so, let's first rearrange Gay-Lussac's equation to solve for P_i.

\dfrac{P_i}{T_i} = \dfrac{P_f}{T_f} \\\\P_iT_f=P_fT_i\\\\P_i= \dfrac{P_fT_i}{T_f}

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Afina-wow [57]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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The area of a tiled kitchen floor is represented by the expression 4x2 + 24x + 27, where x represents the length of a single til
Readme [11.4K]
Let
x--------> <span>represents the length of a single tile
L-------> t</span><span>he length of the floor
W------> the</span><span> width of the floor
A--------> </span>area of a tiled kitchen floor
<span>
we know that
A=W*L
A=</span>4x²<span> + 24x + 27
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substitute equation 2 in equation 1
W*[2x+9]=4x² + 24x + 27
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therefore

the answer is
the <span>expression that represents the width of the kitchen in terms of x is
</span>W=[4x² + 24x + 27]/[2x+9]

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3 years ago
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