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2 years ago

Square root of 55 to the nearest integer

Mathematics

2 answers:

MariettaO [177]2 years ago

5 0

The nearest integer is 7 because the nearest perfect square root is 49. Answer is 7-8

Mrac [35]2 years ago

5 0

7 good luck with your assignment

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the ratio of blue marbles to white marbles and summer bag is equal to 1 to 2 if there are 20 blue marbles how many white marbles

Svet_ta [14]

The answer is 30 marbles

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3 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

If y varies directly as x, find the constant of variation if y= 34 when x= 2

bearhunter [10]

The answer is C

y=kx. where k is a constant
sub y=34,x=2
2k=34
k=17

7 0

2 years ago

I need help please?!!!

mina [271]

Answer:D

Step-by-step explanation:

There are 3 even numbers (2,4,6) and 3 odd numbers(1,3,5) on a six-sided die.

Therefore,the probability to get an even or odd number is the same (50%).

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2 years ago

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What is the volume of the pyramid 7x7x8

dolphi86 [110]

Answer:

The volume of the pyramid is $130\frac{2}{3}\ units^{3}$

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the base

H is the height of the pyramid

In this problem we have a square base

$B=7^{2} =49\ units^{2}$

we have

$H=8\ units$

substitute

$V=\frac{1}{3}(49)(8)=\frac{392}{3}\ units^{3}$

Convert to mixed number

$\frac{392}{3}=\frac{390}{3}+\frac{2}{3}=130\frac{2}{3}\ units^{3}$

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2 years ago

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