What is 2.75 in fraction form in simplest form

Mathematics

1 answer:

DanielleElmas [232]2 years ago

6 0

2 3/4 would be 2.75 in simplest fraction form

You might be interested in

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

2 years ago

Angelique throws a different six-sided dice 120 times.

Alja [10]

The experimental probability of getting a multiple of 3 is $\frac{3}{8}$ .

Given that, Angelique throws a different six-sided dice 120 times.

<h3>What is Probability in maths?</h3>

Probability denotes the possibility of something happening. It's a field of mathematics that studies the probability of a random event occurring. From 0 to 1, the value is expressed. Probability is a mathematical concept that predicts how likely occurrences are to occur.

We know that, $Probability of an event=\frac{Number of favourable outcomes}{Total number of outcomes}$