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geniusboy [140]

2 years ago

11

A bus driver covers a certain distance in 3 hours at an average speed of 80 km/h. How long will the journey take at an average s

peed of 50 km/h?

1 answer:

BaLLatris [955]2 years ago

8 0

Answer:

d= s x t

=50km/h x 3h

= 150km/h

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Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (writ

irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

$\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).$

Then after solving, it become and with theorem it says that the

$\mathscr{L} \left( \int_{0}^{t} f(\tau) d\tau \right) = \frac{\mathscr{L} ( f(\tau))}{s} .$

Hence by this way the given equation with convolution theorem is proved.

So, With convolution theorem the equation is proved.

Learn more about convolution theorem here

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3 0

1 year ago

Can someone help me solve this?!

vesna_86 [32]

Answer:

10x+2

Step-by-step explanation:

First we work on the paranthesis. We will times 5 and 2x to get 10x

and then we times 5 and 3/4 to get 3 $\frac{3}{4}$

So now we have 10x+3 $\frac{3}{4}$ -1.75

Next, we subtract 3 $\frac{3}{4}$ -1.75 which is 2

Lastly we look at the equation as a whole!

10x+2

3 0

3 years ago

On a certain hot summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for

igomit [66]

Number of adults = 264

Number of children= 127

Step-by-step explanation:

Let the number of adults be......x

Let the number of children be.....y

The total number of people that used the public swimming pool is given as 391. This means

x+y=391

The total cost per the receipt is : $752.75

This means, 2.25 x+ 1.25 y = 752.75

The two equations are;

x+y=391 ...........(i)

2.25 x+ 1.25 y = 752.75...........(ii)

Making the x variable equal to eliminate x

2.25x + 2.25 y = 879.75

2.25x + 1.25 y = 752.75

Apply subtraction as

1.00 y = 127.00

y=127

Use the value of y in equation (i)

x+y=391

x+127=391

x=391-127=264

Number of adults = 264

Number of children= 127

Learn More

Simultaneous equations: brainly.com/question/12318095

Keywords ; public, swiming pool, prices, daily, adults, children, receipt, admission

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7 0

3 years ago

What expression is equivalent to 14/15

jonny [76]

Answer:

2/3 divided by 5/7

Step-by-step explanation:

2/3 divided by 5/7 equals 14/15

7 0

2 years ago

irakobra [83]

Answer:

I could do 1 and 3

1) 2x-3y=-2 ....1

-

2x+y=14......2

=-4y=-16

y=4

<u>Substitute</u><u> </u><u>(</u><u>y</u><u>=</u><u>4</u><u>)</u><u> </u><u>into</u><u> </u><u>equation</u><u> </u><u>1</u>

2x-3 (4)=-2

2x-12=-2

2x=-2+12

2x=10

×=5

3) 5x+5y=20....1

-

-3x+5y=4......2

=8x=16

x=2

<u>S</u><u>ubstitute</u><u> </u><u>(</u><u>x</u><u>=</u><u>2</u><u>)</u><u> </u><u>into</u><u> </u><u>equation</u><u> </u><u>1</u>

<u>5</u><u> </u><u>(</u><u>2</u><u>)</u><u>+</u><u>5y</u><u>=</u><u>20</u>

<u>10</u><u>+</u><u>5y</u><u>=</u><u>20</u>

<u>5y</u><u>=</u><u>20-10</u>

<u>5y</u><u>=</u><u>10</u>

<u>y</u><u>=</u><u>2</u>

5 0

3 years ago

Read 2 more answers