Someone help please!

18 divided by 3-7+2x5<br> Please help!!!

chubhunter [2.5K]

The answer is to 18/3-7+2 x 5 is 3

6 0

3 years ago

Which of the following will result in a rational number? Select all that apply.

romanna [79]

An expression is defined as a set of numbers, variables, and mathematical operations

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as,

A.) 7 3/4 - (√11)/5 = (155-4√11)/20

B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)

C) 7 3/4 + (√16)/5 = 166/20

D.) 7 3/4 + (√16)/5 = 31/5

The option that will result in a rational number is C and D.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

8 0

1 year ago

What is the range of the function f(x) = 3x - 5, for the domain { -1, 2, 4}

morpeh [17]

Hope this helps!! Solved it step by step:)

7 0

2 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

If

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

3 years ago

What is the frequency of the sinusoidal graph ?

disa [49]

Answer:

The frequency of the given sinusoidal graph is 4.

Step-by-step explanation:

The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.

From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to $\frac{\pi}{2}$ .

If the complete its one cycle in $\frac{\pi}{2}$ , then the number of cycles completed by the graph in the inteval 0 to 2π is

$\frac{\pi}{2}\times frequency=2\pi$

$frequency=2\pi \times \frac{2}{\pi}$

$frequency=4$

Therefore the frequency of the given sinusoidal graph is 4.

7 0

3 years ago