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Naily [24]
3 years ago
8

The distance s that an object falls is directly proportional to the square of the time t of the fall. If an object falls 16 feet

in 1​ second, how far will it fall in 2 ​seconds? How long will it take an object to fall 400 ​feet?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

Answer: if S is the distance, the fact that the distance is proportional to the square of the time means that S(t) = a*t^{2} where a is a constant of proportionality, with units of \frac{feet}{s^{2} }.

We know that S(1) = 16 feet = a*1, then a = 16\frac{feet}{s^{2} }

then S(2) = 16*4 feet = 64.

and if we want to know in how much time te objet will fall 400feet, then S(t₀) = 400 feet = 16*t₀^{2}

so t₀ = \sqrt{400/16} = 5s.

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Shay mal e 8 2/3 cups of snacks mix she puts all the snack mix into plastic bags she puts 1/3 cup of the snack mix in each bag h
AnnyKZ [126]

Answer:

She needs 26 plastic bags.

Step-by-step explanation:

Given:

Amount of cups of snacks mix = 8 2/3

Rewriting 8 2/3 we get,

Amount of snacks mix = \frac{26}{3}

Number of Cups in each bag = \frac{1}{3}

She puts all the snacks mix in plastic bags

We need to find the number of plastic bags required to put all the snacks mix

Let number of plastic bag be x.

hence we can say that Number of Cups in each bag multiplied by number of plastic bag is equal to  Amount of snacks mix.

\frac{1}{3}x=\frac{26}{3}\\\\x= \frac{26\times3}{3\times1} =26

Hence total number of plastic bags she needs is 26.

6 0
3 years ago
Can someone explain to me in words how to do this problem 3x+122=22x-11
inn [45]

When you have this type of problem, you need to combine the like-terms and isolate the variable.

3x + 122 = 22x - 11

Add 11 to both sides to get rid of it

3x + 122 + 11 = 22x - 11 + 11     (-11 + 11=0)

3x + 133 = 22x

Then you would bring the 3x to the other side, so subtract 3x from both sides

3x + 133 = 22x

-3x             -3x

133 = 22x - 3x

133 = 19x

Then divide both sides by 19 to isolate x

133/19 = 19x/19

133/19 = 7, so x = 7

Hope this helps!!

8 0
2 years ago
The sum of 2 numbers us 19 and their didfference is 55 what are the two numbers
damaskus [11]
Let one no. be x.
then another no. = (19-x).
x - (19 - x ) = 55
2 x - 19 = 55
x = 37
another no. = 19 - 37 = -18

Can you follow me and like me please? I hope i can help you more.☺
4 0
3 years ago
Help me please it’s due by today
anyanavicka [17]

Answer:

D

Step-by-step explanation:

Lateral SA = area of the 4 triangles

Formula to be used :-

Area (triangle) = 1/2bh

=> 4 x 1/2 x 9 x 12

=> 108 x 2

=> 216 cm²

Total SA = LSA + area of the square

Formula to be used :-

Area (square) = side length x side length

=> 216 + 9 x 9

=> 216 + 81

=> 297 cm²

<u>The correct option is (D).</u>

4 0
2 years ago
NEED HELP!!!!!<br> Heres the question
Semenov [28]

Answer:

A. 5(-20)

Step-by-step explanation:

Since she repeatedly withdrawals money, the answer would be negative, so you can say that the other answers are definitely wrong.

Hope this helps :)

3 0
2 years ago
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