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RUDIKE [14]
3 years ago
8

Due to gravity, an object falls 16t² feet in t seconds. You drop a backpack from a window that is 100 feet above the ground. Wil

l the backpack hit the ground in 3 seconds?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

the backpack will be on the ground in 3 seconds but it will first make contact with the ground in 2.5 seconds

Step-by-step explanation:

the equation would be:  y = -16t² + 100

if you solve for 't' then you will find the amount of time until it lands

0 = -16t² + 100

-100 = -16t²

100/16 = t²

t = √100/16

t = 10/4 = 2.5

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Answer:

At the end of the party <u>5.5 gallons or 88 cups</u> of punch will be leftover.

Step-by-step explanation:

Given:

There are 20 guest at a party.

Now, to find the quantity of punch that will be leftover.

Number of guests = 20.

Total gallons of punch = 8.

Now, using conversion factor we change gallons into cups:

1 gallon = 16 cup.

So, 8 gallons = 16 × 8 = 128 cups.

<u><em>Thus, total cups of punch = 128.</em></u>

Total number of cups each guest will drink = 2.

Now, to get total number of cups the 20 guests will drink by multiplying:

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=40\ cups.

<u><em>Total number of cups the 20 guests will drink = 40.</em></u>

So, to get the leftover punch we subtract the total number of cups the 20 guests will drink from total cups of punch:

128-40\\\\=88\ cups.

So, 88 cups = 88\div 16=5.5\ gallons.

Therefore, at the end of the party 5.5 gallons or 88 cups of punch will be leftover.

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