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GenaCL600 [577]
2 years ago
13

Plssss HELP MEEEEEE i shall give thanks

Mathematics
2 answers:
vagabundo [1.1K]2 years ago
7 0

Answer:

youre welcome

Step-by-step explanation:

brilliants [131]2 years ago
5 0
Hope this helps you
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45/200 x + x = 3920<br> what does x equal?
blagie [28]

Answer:

3/52528

Step-by-step explanation:

4 0
3 years ago
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What is 75 percent in fraction and decimal
k0ka [10]
75% in fraction is 3/4 and the decimal is 0.75
4 0
3 years ago
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If £21 = 500 rubles, how many £ are in 780 rubles? Give your answer to 2 dp
Aleksandr [31]

Answer:

£32.76

Step-by-step explanation:

21/500=0.042

780x0.042 = 32.76

5 0
2 years ago
Someone please help me out please!!!!
Tom [10]

Given:

A committee of 6 members is to be chose from the 100 members of the U.S. senate.

To find:

The number of ways to form a committee.

Solution:

We have,

Total number of members = 100

Number of members needs to selected of committee = 6

Number of ways to select r items from total n items is

^nC_r=\dfrac{n!}{r!(n-r)!}

Number of ways to select 6 members from total 100 members is

^{100}C_6=\dfrac{100!}{6!(100-6)!}

^{100}C_6=\dfrac{100\times 99\times 98\times 97\times 96\times 95\times 94!}{6\times 5\times 4\times 3\times 2\times 1\times 94!}

^{100}C_6=\dfrac{100\times 99\times 98\times 97\times 96\times 95}{6\times 5\times 4\times 3\times 2\times 1}

^{100}C_6=1192052400

Therefore, the total number of ways to form a committee is ^{100}C_6, i.e., equal to 1192052400.

4 0
3 years ago
Integrate sin^-1(x) dx<br><br> please explain how to do it aswell ...?
Lynna [10]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2264253

_______________


Evaluate the indefinite integral:

\mathsf{\displaystyle\int\!sin^{-1}(x)\,dx\qquad\quad\checkmark}


Trigonometric substitution:

\mathsf{\theta=sin^{-1}(x)\qquad\qquad\dfrac{\pi}{2}\le \theta\le \dfrac{\pi}{2}}


then,

\begin{array}{lcl} \mathsf{x=sin\,\theta}&\quad\Rightarrow\quad&\mathsf{dx=cos\,\theta\,d\theta\qquad\checkmark}\\\\\\ &&\mathsf{x^2=sin^2\,\theta}\\\\ &&\mathsf{x^2=1-cos^2\,\theta}\\\\ &&\mathsf{cos^2\,\theta=1-x^2}\\\\ &&\mathsf{cos\,\theta=\sqrt{1-x^2}\qquad\checkmark}\\\\\\ &&\textsf{because }\mathsf{cos\,\theta}\textsf{ is positive for }\mathsf{\theta\in \left[\dfrac{\pi}{2},\,\dfrac{\pi}{2}\right].} \end{array}


So the integral \mathsf{(ii)} becomes

\mathsf{=\displaystyle\int\! \theta\,cos\,\theta\,d\theta\qquad\quad(ii)}


Integrate \mathsf{(ii)} by parts:

\begin{array}{lcl} \mathsf{u=\theta}&\quad\Rightarrow\quad&\mathsf{du=d\theta}\\\\ \mathsf{dv=cos\,\theta\,d\theta}&\quad\Leftarrow\quad&\mathsf{v=sin\,\theta} \end{array}\\\\\\\\ \mathsf{\displaystyle\int\!u\,dv=u\cdot v-\int\!v\,du}\\\\\\ \mathsf{\displaystyle\int\!\theta\,cos\,\theta\,d\theta=\theta\, sin\,\theta-\int\!sin\,\theta\,d\theta}\\\\\\ \mathsf{\displaystyle\int\!\theta\,cos\,\theta\,d\theta=\theta\, sin\,\theta-(-cos\,\theta)+C}

\mathsf{\displaystyle\int\!\theta\,cos\,\theta\,d\theta=\theta\, sin\,\theta+cos\,\theta+C}


Substitute back for the variable x, and you get

\mathsf{\displaystyle\int\!sin^{-1}(x)\,dx=sin^{-1}(x)\cdot x+\sqrt{1-x^2}+C}\\\\\\\\ \therefore~~\mathsf{\displaystyle\int\!sin^{-1}(x)\,dx=x\cdot\,sin^{-1}(x)+\sqrt{1-x^2}+C\qquad\quad\checkmark}


I hope this helps. =)


Tags:  <em>integral inverse sine function angle arcsin sine sin trigonometric trig substitution differential integral calculus</em>

6 0
3 years ago
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