Find the value of X. Please select the best answer from the choices provided.

The fifth-grade teachers ordered 3 boxes of clay. They wanted to share it equally among the four classes. How much clay does eac

mylen [45]

Answer:

Each class will get 0.75 of one box of clay .

Step-by-step explanation:

The fifth-grade teachers ordered 3 boxes of clay. They wanted to share it equally among the four classes. So, each class will get,

$\frac {3}{4}$

= 0.75 of one box of clay .

6 0

3 years ago

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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

brainly.com/question/17062586

#SPJ4

5 0

2 years ago

on the perpendicular equation 3y=5x-1 the answer is y=-3/5x+9 .. I understand how to get the slope, I'm trying to figure out how

Charra [1.4K]

Let's look at the first equation.

3y = 5x - 1

y = 5/3 y - 1/3

This line has slope 5/3. A line perpendicular to it has slope -3/5.

The second line is y = -3/5 x + 9.
Its slope is indeed -3/5, so the second line is perpendicular to the first one.

There is an infinite number of lines perpendicular to any given line. You concluded correctly that the two lines in this problem are perpendicular based on the fact that their slopes are negative reciprocals. The second line, y = -3/5 x + 9, is only one line that is perpendicular to the first line. There is an infinite number of lines perpendicular to the first line. All the perpendicular lines have the slope -3/5 and different y-intercepts. The +9 here is just the y-intercept of this specific perpendicular line. Since there is an infinite number of y-intercepts, there is an infinite number of perpendiculars.

7 0

4 years ago

PLS HELP :( WILL GIVE BRAINLIEST+ 25 POINTS

crimeas [40]

Your answer is going to be B.3! Hope it helps

3 0

3 years ago

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Which property of equality would be used to isolate the variable x in this equation? x – 8 = 14 A. addition property of equality

pav-90 [236]

I believe it would be addition property of equality since you can add 14 and 8 to recieve the number that the 8 is being subtracted from to get 14. So in this case x would equal 22.

3 0

3 years ago

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