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3 years ago

A ratio is a rate. Sometimes always or never true

1 answer:

7 0

By definition, the ratio is the expression that would allow us to express the quotient of two numbers and/or any mathematical expressions. Let us take for example, numbers 4 and 5. The ratio between these values is 4/5.

The statement given above, "A ratio is a rate" is only sometimes true. This is only true when the unit of measurement of the denominator is in terms of time (seconds, minutes, hours, years, etc) because this would tell us how fast is something being done, consumed, etc. Example, the speed or rate of a car is 4 meters / 5 seconds.

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Use the laplace transform to solve the given initial-value problem. y'' − 4y' + 4y = t3e2t, y(0) = 0, y'(0) = 0

DanielleElmas [232]

The Laplace of the given equation is $y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}$ .

According to the statement

we have given that the equation and we have to solve this problem with the help of the Laplace transform.

So, According to the statement

the given equation is

y'' − 4y' + 4y = t^3e^2t, y(0) = 0, y'(0) = 0

And the Laplace transform is an integral transform method which is particularly useful in solving linear ordinary differential equations.

Firstly fill the value of the Laplace of the second order derivative and put x = 0 in the equation

And same it with the first order of the derivative.

And then the Laplace of the equation become

$y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}$

So, The Laplace of the given equation is $y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}$

Learn more about Laplace transform here

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5 0

2 years ago

The table shows conversions of common units of length.

Serhud [2]

Answer:

98.4252

Step-by-step explanation:

This is because 1 millimeter is 0.0393701 inches;2,500 millimeters =0.0393701 multiply 2,500=98.4252.

6 0

4 years ago

Read 2 more answers

What dose this mean ???

Lera25 [3.4K]

Ummm i don’t know sorry

4 0

3 years ago

An education researcher collects data on how many hours students study at various local colleges. The researcher calculates an a

fgiga [73]

Answer:

Correct option is (B) descriptive statistical method

Step-by-step explanation:

Descriptive statistics branch in statistics deals with the representation of the data using distinct brief coefficients. These coefficients are used as either the representative of the sample or the population.

The descriptive statistics branch is divided into two sub branches:

Measure of central tendency
Measure of dispersion.

The three measures of central tendency are:

Mean (or Average)
Median
Mode.

The measures of dispersion are:

Variance
Standard deviation
Range
Kurtosis
Skewness

The education researcher computes the average number of hours student study at various local colleges.

The average of a data is the mean value which is the measure of central tendency.

Thus, the researcher is using descriptive statistical method to summarize the data.

3 0

3 years ago

What is the orthocenter of the triangle with two altitudes given by the lines x=-1 and y=x+1

timama [110]

The answer to the problem is as follows:

<span>The orthocenter is where the altitudes of a triangle are concurrent (where they intersect each other). On your graph, that would be (-1,0)

I hope my answer has come to your help. God bless and have a nice day ahead!</span>

3 0

4 years ago

Read 2 more answers