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2 years ago

The sum of a number x and -7 is less than or equal to 18.

Mathematics

1 answer:

pishuonlain [190]2 years ago

5 0

Step-by-step explanation:

x + (-7) ≤ 18

x - 7 ≤ 18

x ≤ 18 + 7

x ≤ 25

Value of x is less than or equal to 25

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. The sun was shining on 3 out of every 4 days. On what percent of the days was the sun not shining

Sati [7]

the sun was not shining on 1/4 of the days, which is equal to 25% of them.

hope this helps!! :)

7 0

2 years ago

Read 2 more answers

"find the reduction formula for the integral" sin^n(18x)

dexar [7]

Let

$I(n,a)=\displaystyle\int\sin^nax\,\mathrm dx$
For demonstration on how to tackle this sort of problem, I'll only work through the case where $n$ is odd. We can write

$\displaystyle\int\sin^nax\,\mathrm dx=\int\sin^{n-2}ax\sin^2ax\,\mathrm dx=\int\sin^{n-2}ax(1-\cos^2ax)\,\mathrm dx$
$\implies I(n,a)=I(n-2,a)-\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx$

For the remaining integral, we can integrate by parts, taking

$u=\sin^{n-3}ax\implies\mathrm du=a(n-3)\sin^{n-4}ax\cos ax\,\mathrm dx$ $\mathrm dv=\sin ax\cos^2ax\,\mathrm dx\implies v=-\dfrac1{3a}\cos^3ax$

$\implies\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx=-\dfrac1{3a}\sin^{n-3}ax\cos^3ax+\dfrac{a(n-3)}{3a}\int\sin^{n-4}ax\cos^4ax\,\mathrm dx$

For this next integral, we rewrite the integrand

$\sin^{n-4}ax\cos^4ax=\sin^{n-4}ax(1-\sin^2ax)^2=\sin^{n-4}ax-2\sin^{n-2}ax+\sin^nax$
$\implies\displaystyle\int\sin^{n-4}ax\cos^4ax\,\mathrm dx=I(n-4,a)-2I(n-2,a)+I(n,a)$

So putting everything together, we found

$I(n,a)=I(n-2,a)-\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx$
$I(n,a)=I(n-2,a)-\left(-\dfrac1{3a}\sin^{n-3}ax\cos^3ax+\dfrac{n-3}3\displaystyle\int\sin^{n-4}ax\cos^4ax\,\mathrm dx\right)$
$I(n,a)=I(n-2,a)-\dfrac{n-3}3\bigg(I(n-4,a)-2I(n-2,a)+I(n,a)\bigg)+\dfrac1{3a}\sin^{n-3}ax\cos^3ax$
$\dfrac n3I(n,a)=\dfrac{2n-3}3I(n-2,a)-\dfrac{n-3}3I(n-4,a)+\dfrac1{3a}\sin^{n-3}ax\cos^3ax$

$\implies I(n,a)=\dfrac{2n-3}nI(n-2,a)-\dfrac{n-3}nI(n-4,a)+\dfrac1{na}\sin^{n-3}ax\cos^3ax$

7 0

2 years ago

The distance between (9,10 and (9,3)

spayn [35]

Using the distance formula
d= square root of (x2-x1)^2+(y2-y1)^2

(9-9)^2+(10-3)^2
0^2+7^2
0+49
Square root of 49 is 7
d=7

4 0

3 years ago

there are three people who work full-time and are to work together on a project but their total time on the project is to be equ

zhuklara [117]

This would be:
$1 - \frac{1}{2} - \frac{1}{3}$

Using common denominator of 6:
$\frac{6}{6}- \frac{3}{6}- \frac{2}{6} = \frac{1}{6}$

They should use $\frac{1}{6}$ of their time.

6 0

2 years ago

Find the number of ways to listen to 4 different CDs from a selection of 15 cds?

Mekhanik [1.2K]

Answer: letter a should be the correct answer

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers