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Alexandra [31]
3 years ago
5

What is 3 1/2 divided by 1/4 simplified

Mathematics
2 answers:
Murljashka [212]3 years ago
8 0
The answer is: 14



Step-to-step explanation:

3 1/2= 7/2

7/2 * 4=

28/2=

14
Mekhanik [1.2K]3 years ago
6 0
14 simplest form. :)))))
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PLEASE HELP!!!!!! 7TH GRADE MATH SO IT SHOULD BE EASY FOR SOME OF YALL. write the expression below as a product of two factors
Cloud [144]

Answer and Step-by-step explanation:

6(2x + 3y - 10) is the answer.

This is because 6 can be taken out from all 3 numbers, and will create these two factors, the factors being 6 and (2x + 3y - 10).

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5 0
2 years ago
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x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
I need help for these two<br> Im3
frez [133]
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6 0
2 years ago
Negative 4 equals r/20 minus 5
levacccp [35]

Answer: r = - 20

Step-by-step explanation:

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3 years ago
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It’s D it’s substitution just not simplified
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