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2 years ago

What is the average walking rate in miles per hour if the distance(miles)=0.5. And the Time (min)= 12

1 answer:

5 0

So in order for us to know the average walking rate in miles per hour, we have to convert 12 minutes to hours first. So 12 minutes is 0.2 hours. So the rate is 0.5 miles in 0.2 hours. But since the question is the rate per hour, so the answer would be 2.5 miles/hour. Hope this answers your question.

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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

2 years ago

Rational numbers-oh my!

Anna [14]

What is the question can't help with ought it

8 0

3 years ago

4. What are the zeros of the polynomial function y= 2x2-3x+1?

weeeeeb [17]

Answer:

Step-by-step explanation:

Given

y = 2x² - 3x + 1

To find the zeros let y = 0, that is

2x² - 3x + 1 = 0

Consider the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 1 = 2 and sum = - 3

The factors are - 2 and - 1

Use these factors to split the x- term

2x² - 2x - x + 1 = 0 ( factor the first/second and third/fourth terms )

2x(x - 1) - 1(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x - 1) = 0

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $\frac{1}{2}$

x - 1 = 0 ⇒ x = 1

7 0

3 years ago

Gal Gadot borrows $125,000 at a yearly simple interest rate of 4.5%. How much would she pay, in total, if she paid off the loan

labwork [276]

Answer:

$241,910.31

Step-by-step explanation:

Compound interest

125,000(1.045)^15

Also, Gal Gadot is the best!

5 0

2 years ago

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is inter

Rama09 [41]

Answer:

The administrator should sample 968 students.

Step-by-step explanation:

We have to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.88}{2} = 0.06$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a p-value of $1 - 0.06 = 0.94$ , so Z = 1.555.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Standard deviation of 300.

This means that $n = 300$

If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample?

This is n for which M = 15. So

$M = z\frac{\sigma}{\sqrt{n}}$

$15 = 1.555\frac{300}{\sqrt{n}}$