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2 years ago

13

There are nine kids in a class. When any two meet, each says "hi" to the other and the answer "hi" follows. Before the class sta

rts, how many times would one hear the word "hi"?

1 answer:

Xelga [282]2 years ago

6 0

72 times, I believe. Hope I helped.

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Find the length of side a.<br> please help?

GaryK [48]

Answer:

Hello! I believe your answer is a = 3

Step-by-step explanation:

a= $\sqrt{5^{2}-4^{2} }$ = 3

Have a good day! - Zac

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2 years ago

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(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3

Stells [14]

Answer: The required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

Step-by-step explanation: We are given to find the inverse Laplace transform, f(t), of the following function :

$F(s)=\dfrac{16}{(s-4)^3}.$

We have the following Laplace formula :

$L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.$

Therefore, we get

$f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.$

Thus, the required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

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3 years ago

On a hot summer day in the state of Washington while kayaking, I saw several swimmers jump from a railroad bridge into the Snoho

tamaranim1 [39]

Answer: the bridge is 11.025 m high

Step-by-step explanation:

Given that;

Time taken to hit the water t = 1.5 sec

height of bridge = ?

lets take a look at the equation of motion;

y(t) = y₀ + (1/2)at²

with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s

we substitute

y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²

y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²

y(1.5) = 11.025 m

Therefore, the bridge is 11.025 m high

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2 years ago

What are the factors of 68

elixir [45]

$68=2\times34\\\\68=4\times17$

4 0

3 years ago

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What number is missing from the table of equivalent ratios?

algol [13]

Answer:

A) 4

Step-by-step explanation:

10 divided by 2 = 5

15 divided by 3 = 5

so 20 divided by 4 = 5

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3 years ago

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