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tigry1 [53]
1 year ago
9

Order these numbers from least to greatest.

tle="6 \frac{1}{11} " alt="6 \frac{1}{11} " align="absmiddle" class="latex-formula">\frac{61}{10}6.156.137
Mathematics
1 answer:
andrezito [222]1 year ago
5 0

We shall first of all, convert all the numbers to the same base. This means we either;

Convert the fractions to decimals OR

Convert the decimals to fractions

Let us therefore convert the decimals to fractions.

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Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).
zzz [600]

Answer:

F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

Step-by-step explanation:

We have given F(S)=\frac{7e^{-7s}}{s^2-49}

Now  F(S)=e^{-7s}G(s)

Here G(S)=\frac{7}{S^2-49}

Now first find the Laplace inverse of G(S)

Using partial fraction

\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}

7=A(S-7)+B(S+7)

On comparing the coefficient

A=\frac{1}{2}  and B=\frac{-1}{2}  

On putting the value of A and B  

G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}

Taking inverse Laplace

G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}

Now in G(s) there is onether term e^{-7s}

So F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

6 0
3 years ago
Carla has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 10 inches long, and 7 cm de
solniwko [45]

Answer:

To determine the correct statement in the choices presented, we first have to solve the area of the tray. We assume it to be in a rectangular form so the area is:

Step-by-step explanation:

Area = 10 in x 10 in x 7/2.54 in = 275.59 in³ for the paint tray

1 gallon paint = 231 in³ paint

Therefore, the correct answer is the first option. The paint will not fill the tray by 44.59 in³

6 0
2 years ago
What percent of 19 is 4.75?
IrinaK [193]

Answer:

25%

Step-by-step explanation:

1. 4.75/19 = .25

2. .25 = 25%

8 0
3 years ago
The sum of 2 numbers is 50. The sum of 1/4 of the first number and 2/3 of the second number is 25.What are the numbers?
tino4ka555 [31]

Answer:

First number: 20

Second number: 30

Step-by-step explanation:

First#:   x

Second#:   y

Constraints:

   x + y = 50      

   1/4x + 2/3y = 25

Isolate variable y:

   x + y = 50    

  -1/4 (x + y = 50 )

 -1/4x - 1/4y = -12.5

  Add equations the two equations to eliminate x:

    -1/4x - 1/4y = -12.5

     1/4x + 2/3y = 25

  _________________

       5/12y = 12.5

           5y = 150

              y = 30

Substitution to find x:

       x + y = 50  

       x + 30 = 50

              x = 20

6 0
3 years ago
Need help ASAP thankyou
jonny [76]

Answer:

The only help I can give on this one is all the angles added up should be 180

Step-by-step explanation:

Hope this helps a bit :)

7 0
3 years ago
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