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3 years ago

Five thirds divided by what equals ten ninth?

Mathematics

1 answer:

marin [14]3 years ago

6 0

First multiply 10 9th by 5 3rds.
hope this helps get you started.

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Nancy is very happy with the service at the hotel she is staying in. She wants to tip the room service waiter 15 percent of the

anyanavicka [17]

$18.11 because 20.75/x=100/15
(120.75/x)*x=(100/15)*x - we multiply both sides of the equation by x
120.75=6.6666666666667*x - we divide both sides of the equation by (6.6666666666667) to get x
120.75/6.6666666666667=x 
18.1125=x 
x=18.1125

7 0

3 years ago

Can I get help with finding the Fourier cosine series of F(x) = x - x^2

trapecia [35]

Assuming you want the cosine series expansion over an arbitrary symmetric interval $[-L,L]$ , $L\neq0$ , the cosine series is given by

$f_C(x)=\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos nx$

You have

$a_0=\displaystyle\frac1L\int_{-L}^Lf(x)\,\mathrm dx$
$a_0=\dfrac1L\left(\dfrac{x^2}2-\dfrac{x^3}3\right)\bigg|_{x=-L}^{x=L}$
$a_0=\dfrac1L\left(\left(\dfrac{L^2}2-\dfrac{L^3}3\right)-\left(\dfrac{(-L)^2}2-\dfrac{(-L)^3}3\right)\right)$
$a_0=-\dfrac{2L^2}3$

$a_n=\displaystyle\frac1L\int_{-L}^Lf(x)\cos nx\,\mathrm dx$

Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of

$\displaystyle\int(x-x^2)\cos nx\,\mathrm dx=\frac{(1-2x)\cos nx}{n^2}-\dfrac{(2+n^2x-n^2x^2)\sin nx}{n^3}$

and so

$a_n=-\dfrac{4L\cos nL}{n^2}+\dfrac{(4-2n^2L^2)\sin nL}{n^3}$

So the cosine series for $f(x)$ periodic over an interval $[-L,L]$ is

$f_C(x)=-\dfrac{L^2}3+\displaystyle\sum_{n\ge1}\left(-\dfrac{4L\cos nL}{n^2L}+\dfrac{(4-2n^2L^2)\sin nL}{n^3L}\right)\cos nx$

4 0

3 years ago

A football is kicked from the ground so that its height n (in feet) t seconds after being kicked is given by h(t) = –16+48t.

damaskus [11]

Answer:

h(t) = –16+48t

h(32)=-16+48(32)

h(32)=-16+ 1536

h(32)= 1520seconds

Step-by-step explanation:

6 0

2 years ago

Which number is farther from 0 on a number line -9 or 6

Dafna11 [192]

-9 is farther from 0 on the number line.

3 0

3 years ago

a plane is flying at a speed of 200 miles per hour. the pilot plans on flying at this speed for the next 225 miles, plus or minu

harina [27]

The minimum and maximum number of hours the plane will travel at that speed are; at least 0.875 hours and at most 1.375 hours

<h3>How to Solve Absolute Value Inequality?</h3>

We are given that the speed of the plane is 200 miles per hour.

Now, formula for time taken is;

Time = Distance/Speed

If the speed is 225 ± 50 miles, then it means that;

Maximum distance = 275 miles

Minimum distance = 175 miles

Thus, we can say that;

Minimum number of hours = 275/200 = 1.375 hours

Maximum number of hours = 175/200 = 0.875 hours

Read more about Absolute Value Inequality at; brainly.com/question/13282457

#SPJ1

4 0

2 years ago